# This is a joint work done by Omar A. AbuGhneim from Jordan University (Email: o_abughneim@yahoo.com) and Ken W. Smith from # Sam Houston State University (Email: kenwsmith@shsu.edu). # The set of all (96,20,4) difference sets (we mentioned these difference sets in the file "List of all (96,20,4) DSs and the nonisomorphic symmetric # (96,20,4) designs that rise from these DSs") provide 583 nonisomorphic symmetric (96,20,4) designs. # In this file, we determine the (96,20,4) difference sets that provide each one of these 583 nonisomorphic symmetric (96,20,4) designs. # For instance: the first (96,20,4) difference set in group [ 96, 10 ] and the fourth (96,20,4) difference set in group [ 96, 10 ] provide the same # symmetric (96,20,4) design (provide two symmetric (96,20,4) designs but they are isomorphic and we consider them the same). In here when we said # the first (96,20,4) difference set in group [ 96, 10 ] we mean the first (96,20,4) difference set in group [ 96, 10 ] in the list of (96,20,4) DSs in # the file "List of all (96,20,4) DSs and the nonisomorphic symmetric (96,20,4) designs that rise from these DSs" and we denote that difference set # by [ [ 96, 10 ], 1 ]. We use this notation for all other difference sets. # For each symmetric (96,20,4) design, we determine if the (96,20,4) difference sets that provide that design are genuinely nonabelian. ### To determine the nonisomorphic symmetric (96,20,4) designs, we used the DESIGN package for GAP, Version 1.6, 2011, ### by L.H. Soicher, http://designtheory.org/software/gap design/. # List of all 583 nonisomorphic symmetric (96,20,4) designs: ## Symmetric (96,20,4) design number 1 rises from the difference set ## [ [ 96, 10 ], 1 ]. ## or [ [ 96, 10 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 2 rises from the difference set ## [ [ 96, 10 ], 2 ]. ## or [ [ 96, 51 ], 2 ]. ## or [ [ 96, 54 ], 12 ]. ## or [ [ 96, 225 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 3 rises from the difference set ## [ [ 96, 10 ], 3 ]. ## or [ [ 96, 51 ], 8 ]. ## or [ [ 96, 54 ], 1 ]. ## or [ [ 96, 225 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 4 rises from the difference set ## [ [ 96, 13 ], 1 ]. ## or [ [ 96, 13 ], 11 ]. ## or [ [ 96, 41 ], 2 ]. ## or [ [ 96, 41 ], 11 ]. ## or [ [ 96, 70 ], 5 ]. ## or [ [ 96, 70 ], 19 ]. ## or [ [ 96, 160 ], 2 ]. ## or [ [ 96, 160 ], 17 ]. ## or [ [ 96, 167 ], 4 ]. ## or [ [ 96, 167 ], 42 ]. ## or [ [ 96, 185 ], 15 ]. ## or [ [ 96, 185 ], 20 ]. ## or [ [ 96, 186 ], 12 ]. ## or [ [ 96, 186 ], 16 ]. ## or [ [ 96, 194 ], 4 ]. ## or [ [ 96, 194 ], 12 ]. ## or [ [ 96, 194 ], 15 ]. ## or [ [ 96, 194 ], 29 ]. ## or [ [ 96, 194 ], 40 ]. ## or [ [ 96, 194 ], 47 ]. ## or [ [ 96, 195 ], 2 ]. ## or [ [ 96, 195 ], 3 ]. ## or [ [ 96, 195 ], 28 ]. ## or [ [ 96, 195 ], 36 ]. ## or [ [ 96, 195 ], 48 ]. ## or [ [ 96, 195 ], 77 ]. ## or [ [ 96, 196 ], 4 ]. ## or [ [ 96, 196 ], 15 ]. ## or [ [ 96, 196 ], 25 ]. ## or [ [ 96, 196 ], 40 ]. ## or [ [ 96, 197 ], 3 ]. ## or [ [ 96, 197 ], 50 ]. ## or [ [ 96, 197 ], 63 ]. ## or [ [ 96, 197 ], 70 ]. ## or [ [ 96, 226 ], 1 ]. ## or [ [ 96, 226 ], 7 ]. ## or [ [ 96, 226 ], 10 ]. ## or [ [ 96, 226 ], 15 ]. ## or [ [ 96, 227 ], 2 ]. ## or [ [ 96, 227 ], 19 ]. ## or [ [ 96, 228 ], 1 ]. ## or [ [ 96, 228 ], 19 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 5 rises from the difference set ## [ [ 96, 13 ], 2 ]. ## or [ [ 96, 41 ], 1 ]. ## or [ [ 96, 160 ], 3 ]. ## or [ [ 96, 167 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 6 rises from the difference set ## [ [ 96, 13 ], 3 ]. ## or [ [ 96, 41 ], 7 ]. ## or [ [ 96, 70 ], 4 ]. ## or [ [ 96, 160 ], 1 ]. ## or [ [ 96, 167 ], 27 ]. ## or [ [ 96, 185 ], 11 ]. ## or [ [ 96, 186 ], 8 ]. ## or [ [ 96, 188 ], 10 ]. ## or [ [ 96, 188 ], 29 ]. ## or [ [ 96, 188 ], 34 ]. ## or [ [ 96, 190 ], 11 ]. ## or [ [ 96, 190 ], 26 ]. ## or [ [ 96, 194 ], 16 ]. ## or [ [ 96, 194 ], 33 ]. ## or [ [ 96, 194 ], 45 ]. ## or [ [ 96, 195 ], 1 ]. ## or [ [ 96, 195 ], 32 ]. ## or [ [ 96, 195 ], 50 ]. ## or [ [ 96, 196 ], 23 ]. ## or [ [ 96, 196 ], 39 ]. ## or [ [ 96, 197 ], 39 ]. ## or [ [ 96, 197 ], 61 ]. ## or [ [ 96, 226 ], 2 ]. ## or [ [ 96, 226 ], 9 ]. ## or [ [ 96, 227 ], 1 ]. ## or [ [ 96, 228 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 7 rises from the difference set ## [ [ 96, 13 ], 4 ]. ## or [ [ 96, 41 ], 3 ]. ## or [ [ 96, 70 ], 3 ]. ## or [ [ 96, 160 ], 12 ]. ## or [ [ 96, 167 ], 7 ]. ## or [ [ 96, 185 ], 18 ]. ## or [ [ 96, 186 ], 15 ]. ## or [ [ 96, 194 ], 6 ]. ## or [ [ 96, 194 ], 8 ]. ## or [ [ 96, 194 ], 20 ]. ## or [ [ 96, 194 ], 22 ]. ## or [ [ 96, 194 ], 32 ]. ## or [ [ 96, 194 ], 52 ]. ## or [ [ 96, 195 ], 12 ]. ## or [ [ 96, 195 ], 24 ]. ## or [ [ 96, 195 ], 25 ]. ## or [ [ 96, 195 ], 54 ]. ## or [ [ 96, 195 ], 55 ]. ## or [ [ 96, 195 ], 56 ]. ## or [ [ 96, 196 ], 22 ]. ## or [ [ 96, 196 ], 43 ]. ## or [ [ 96, 197 ], 6 ]. ## or [ [ 96, 197 ], 62 ]. ## or [ [ 96, 226 ], 4 ]. ## or [ [ 96, 226 ], 12 ]. ## or [ [ 96, 227 ], 12 ]. ## or [ [ 96, 228 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 8 rises from the difference set ## [ [ 96, 13 ], 5 ]. ## or [ [ 96, 41 ], 8 ]. ## or [ [ 96, 70 ], 9 ]. ## or [ [ 96, 160 ], 11 ]. ## or [ [ 96, 167 ], 30 ]. ## or [ [ 96, 185 ], 14 ]. ## or [ [ 96, 186 ], 11 ]. ## or [ [ 96, 188 ], 4 ]. ## or [ [ 96, 188 ], 22 ]. ## or [ [ 96, 188 ], 35 ]. ## or [ [ 96, 190 ], 5 ]. ## or [ [ 96, 190 ], 37 ]. ## or [ [ 96, 194 ], 3 ]. ## or [ [ 96, 194 ], 5 ]. ## or [ [ 96, 194 ], 19 ]. ## or [ [ 96, 194 ], 30 ]. ## or [ [ 96, 194 ], 51 ]. ## or [ [ 96, 194 ], 54 ]. ## or [ [ 96, 195 ], 10 ]. ## or [ [ 96, 195 ], 26 ]. ## or [ [ 96, 195 ], 31 ]. ## or [ [ 96, 195 ], 47 ]. ## or [ [ 96, 195 ], 49 ]. ## or [ [ 96, 195 ], 52 ]. ## or [ [ 96, 196 ], 21 ]. ## or [ [ 96, 196 ], 41 ]. ## or [ [ 96, 197 ], 43 ]. ## or [ [ 96, 197 ], 64 ]. ## or [ [ 96, 226 ], 3 ]. ## or [ [ 96, 226 ], 11 ]. ## or [ [ 96, 227 ], 11 ]. ## or [ [ 96, 228 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 9 rises from the difference set ## [ [ 96, 13 ], 6 ]. ## or [ [ 96, 41 ], 4 ]. ## or [ [ 96, 160 ], 14 ]. ## or [ [ 96, 167 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 10 rises from the difference set ## [ [ 96, 13 ], 7 ]. ## or [ [ 96, 41 ], 6 ]. ## or [ [ 96, 160 ], 13 ]. ## or [ [ 96, 167 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 11 rises from the difference set ## [ [ 96, 13 ], 8 ]. ## or [ [ 96, 41 ], 5 ]. ## or [ [ 96, 160 ], 26 ]. ## or [ [ 96, 167 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 12 rises from the difference set ## [ [ 96, 13 ], 9 ]. ## or [ [ 96, 41 ], 16 ]. ## or [ [ 96, 160 ], 22 ]. ## or [ [ 96, 167 ], 40 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 13 rises from the difference set ## [ [ 96, 13 ], 10 ]. ## or [ [ 96, 41 ], 10 ]. ## or [ [ 96, 70 ], 21 ]. ## or [ [ 96, 160 ], 19 ]. ## or [ [ 96, 167 ], 43 ]. ## or [ [ 96, 185 ], 7 ]. ## or [ [ 96, 186 ], 7 ]. ## or [ [ 96, 194 ], 2 ]. ## or [ [ 96, 194 ], 9 ]. ## or [ [ 96, 194 ], 18 ]. ## or [ [ 96, 194 ], 27 ]. ## or [ [ 96, 194 ], 36 ]. ## or [ [ 96, 194 ], 49 ]. ## or [ [ 96, 195 ], 18 ]. ## or [ [ 96, 195 ], 27 ]. ## or [ [ 96, 195 ], 33 ]. ## or [ [ 96, 195 ], 51 ]. ## or [ [ 96, 195 ], 57 ]. ## or [ [ 96, 195 ], 82 ]. ## or [ [ 96, 196 ], 2 ]. ## or [ [ 96, 196 ], 20 ]. ## or [ [ 96, 197 ], 46 ]. ## or [ [ 96, 197 ], 71 ]. ## or [ [ 96, 226 ], 6 ]. ## or [ [ 96, 226 ], 13 ]. ## or [ [ 96, 227 ], 21 ]. ## or [ [ 96, 228 ], 17 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 14 rises from the difference set ## [ [ 96, 13 ], 12 ]. ## or [ [ 96, 41 ], 13 ]. ## or [ [ 96, 160 ], 21 ]. ## or [ [ 96, 167 ], 41 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 15 rises from the difference set ## [ [ 96, 13 ], 13 ]. ## or [ [ 96, 41 ], 9 ]. ## or [ [ 96, 160 ], 20 ]. ## or [ [ 96, 167 ], 39 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 16 rises from the difference set ## [ [ 96, 13 ], 14 ]. ## or [ [ 96, 41 ], 15 ]. ## or [ [ 96, 70 ], 20 ]. ## or [ [ 96, 160 ], 18 ]. ## or [ [ 96, 167 ], 44 ]. ## or [ [ 96, 185 ], 1 ]. ## or [ [ 96, 186 ], 2 ]. ## or [ [ 96, 188 ], 9 ]. ## or [ [ 96, 188 ], 27 ]. ## or [ [ 96, 188 ], 38 ]. ## or [ [ 96, 190 ], 10 ]. ## or [ [ 96, 190 ], 32 ]. ## or [ [ 96, 194 ], 1 ]. ## or [ [ 96, 194 ], 10 ]. ## or [ [ 96, 194 ], 17 ]. ## or [ [ 96, 194 ], 28 ]. ## or [ [ 96, 194 ], 38 ]. ## or [ [ 96, 194 ], 50 ]. ## or [ [ 96, 195 ], 20 ]. ## or [ [ 96, 195 ], 29 ]. ## or [ [ 96, 195 ], 37 ]. ## or [ [ 96, 195 ], 53 ]. ## or [ [ 96, 195 ], 58 ]. ## or [ [ 96, 195 ], 81 ]. ## or [ [ 96, 196 ], 1 ]. ## or [ [ 96, 196 ], 16 ]. ## or [ [ 96, 197 ], 49 ]. ## or [ [ 96, 197 ], 69 ]. ## or [ [ 96, 226 ], 5 ]. ## or [ [ 96, 226 ], 14 ]. ## or [ [ 96, 227 ], 20 ]. ## or [ [ 96, 228 ], 20 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 17 rises from the difference set ## [ [ 96, 13 ], 15 ]. ## or [ [ 96, 41 ], 14 ]. ## or [ [ 96, 64 ], 12 ]. ## or [ [ 96, 70 ], 23 ]. ## or [ [ 96, 71 ], 1 ]. ## or [ [ 96, 160 ], 23 ]. ## or [ [ 96, 167 ], 49 ]. ## or [ [ 96, 185 ], 5 ]. ## or [ [ 96, 186 ], 6 ]. ## or [ [ 96, 188 ], 5 ]. ## or [ [ 96, 188 ], 52 ]. ## or [ [ 96, 190 ], 24 ]. ## or [ [ 96, 190 ], 40 ]. ## or [ [ 96, 194 ], 7 ]. ## or [ [ 96, 194 ], 31 ]. ## or [ [ 96, 194 ], 43 ]. ## or [ [ 96, 195 ], 30 ]. ## or [ [ 96, 195 ], 40 ]. ## or [ [ 96, 195 ], 69 ]. ## or [ [ 96, 195 ], 83 ]. ## or [ [ 96, 195 ], 84 ]. ## or [ [ 96, 196 ], 3 ]. ## or [ [ 96, 196 ], 14 ]. ## or [ [ 96, 197 ], 52 ]. ## or [ [ 96, 197 ], 72 ]. ## or [ [ 96, 226 ], 8 ]. ## or [ [ 96, 226 ], 16 ]. ## or [ [ 96, 227 ], 18 ]. ## or [ [ 96, 227 ], 23 ]. ## or [ [ 96, 227 ], 41 ]. ## or [ [ 96, 228 ], 22 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 18 rises from the difference set ## [ [ 96, 13 ], 16 ]. ## or [ [ 96, 41 ], 12 ]. ## or [ [ 96, 160 ], 27 ]. ## or [ [ 96, 167 ], 45 ]. ## or [ [ 96, 227 ], 42 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 19 rises from the (96,20,4) difference set ## [ [ 96, 14 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 20 rises from the (96,20,4) difference set ## [ [ 96, 14 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 21 rises from the (96,20,4) difference set ## [ [ 96, 14 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 22 rises from the (96,20,4) difference set ## [ [ 96, 14 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 23 rises from the (96,20,4) difference set ## [ [ 96, 20 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 24 rises from the (96,20,4) difference set ## [ [ 96, 20 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 25 rises from the (96,20,4) difference set ## [ [ 96, 20 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 26 rises from the (96,20,4) difference set ## [ [ 96, 20 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 27 rises from the (96,20,4) difference set ## [ [ 96, 20 ], 5 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 28 rises from the (96,20,4) difference set ## [ [ 96, 20 ], 6 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 29 rises from the (96,20,4) difference set ## [ [ 96, 20 ], 7 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 30 rises from the (96,20,4) difference set ## [ [ 96, 20 ], 8 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 31 rises from the difference set ## [ [ 96, 51 ], 1 ]. ## or [ [ 96, 51 ], 3 ]. ## or [ [ 96, 51 ], 4 ]. ## or [ [ 96, 54 ], 5 ]. ## or [ [ 96, 54 ], 8 ]. ## or [ [ 96, 54 ], 11 ]. ## or [ [ 96, 64 ], 2 ]. ## or [ [ 96, 64 ], 4 ]. ## or [ [ 96, 64 ], 13 ]. ## or [ [ 96, 225 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 32 rises from the difference set ## [ [ 96, 51 ], 5 ]. ## or [ [ 96, 51 ], 6 ]. ## or [ [ 96, 51 ], 7 ]. ## or [ [ 96, 54 ], 2 ]. ## or [ [ 96, 54 ], 6 ]. ## or [ [ 96, 54 ], 9 ]. ## or [ [ 96, 225 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 33 rises from the (96,20,4) difference set ## [ [ 96, 52 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 34 rises from the (96,20,4) difference set ## [ [ 96, 52 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 35 rises from the (96,20,4) difference set ## [ [ 96, 52 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 36 rises from the (96,20,4) difference set ## [ [ 96, 52 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 37 rises from the (96,20,4) difference set ## [ [ 96, 54 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 38 rises from the difference set ## [ [ 96, 54 ], 4 ]. ## or [ [ 96, 64 ], 14 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 39 rises from the difference set ## [ [ 96, 54 ], 7 ]. ## or [ [ 96, 64 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 40 rises from the difference set ## [ [ 96, 54 ], 10 ]. ## or [ [ 96, 64 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 41 rises from the difference set ## [ [ 96, 64 ], 5 ]. ## or [ [ 96, 64 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 42 rises from the difference set ## [ [ 96, 64 ], 6 ]. ## or [ [ 96, 70 ], 6 ]. ## or [ [ 96, 71 ], 5 ]. ## or [ [ 96, 71 ], 6 ]. ## or [ [ 96, 71 ], 8 ]. ## or [ [ 96, 195 ], 67 ]. ## or [ [ 96, 227 ], 29 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 43 rises from the difference set ## [ [ 96, 64 ], 7 ]. ## or [ [ 96, 64 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 44 rises from the difference set ## [ [ 96, 64 ], 8 ]. ## or [ [ 96, 71 ], 2 ]. ## or [ [ 96, 71 ], 3 ]. ## or [ [ 96, 71 ], 4 ]. ## or [ [ 96, 195 ], 59 ]. ## or [ [ 96, 195 ], 61 ]. ## or [ [ 96, 195 ], 64 ]. ## or [ [ 96, 195 ], 79 ]. ## or [ [ 96, 227 ], 15 ]. ## or [ [ 96, 227 ], 24 ]. ## or [ [ 96, 227 ], 32 ]. ## or [ [ 96, 227 ], 40 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 45 rises from the difference set ## [ [ 96, 64 ], 10 ]. ## or [ [ 96, 70 ], 24 ]. ## or [ [ 96, 71 ], 7 ]. ## or [ [ 96, 190 ], 22 ]. ## or [ [ 96, 195 ], 76 ]. ## or [ [ 96, 227 ], 34 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 46 rises from the (96,20,4) difference set ## [ [ 96, 68 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 47 rises from the difference set ## [ [ 96, 68 ], 2 ]. ## or [ [ 96, 83 ], 8 ]. ## or [ [ 96, 83 ], 10 ]. ## or [ [ 96, 130 ], 38 ]. ## or [ [ 96, 161 ], 6 ]. ## Symmetric (96,20,4) design number 48 rises from the difference set ## [ [ 96, 70 ], 1 ]. ## or [ [ 96, 167 ], 28 ]. ## or [ [ 96, 196 ], 5 ]. ## or [ [ 96, 196 ], 19 ]. ## or [ [ 96, 196 ], 48 ]. ## or [ [ 96, 197 ], 42 ]. ## or [ [ 96, 197 ], 55 ]. ## or [ [ 96, 197 ], 59 ]. ## or [ [ 96, 228 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 49 rises from the difference set ## [ [ 96, 70 ], 2 ]. ## or [ [ 96, 167 ], 35 ]. ## or [ [ 96, 195 ], 63 ]. ## or [ [ 96, 195 ], 78 ]. ## or [ [ 96, 196 ], 6 ]. ## or [ [ 96, 196 ], 12 ]. ## or [ [ 96, 196 ], 50 ]. ## or [ [ 96, 197 ], 44 ]. ## or [ [ 96, 197 ], 53 ]. ## or [ [ 96, 197 ], 57 ]. ## or [ [ 96, 227 ], 17 ]. ## or [ [ 96, 227 ], 35 ]. ## or [ [ 96, 228 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 50 rises from the difference set ## [ [ 96, 70 ], 7 ]. ## or [ [ 96, 167 ], 31 ]. ## or [ [ 96, 196 ], 8 ]. ## or [ [ 96, 196 ], 10 ]. ## or [ [ 96, 196 ], 47 ]. ## or [ [ 96, 197 ], 41 ]. ## or [ [ 96, 197 ], 56 ]. ## or [ [ 96, 197 ], 58 ]. ## or [ [ 96, 228 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 51 rises from the difference set ## [ [ 96, 70 ], 8 ]. ## or [ [ 96, 167 ], 29 ]. ## or [ [ 96, 196 ], 7 ]. ## or [ [ 96, 196 ], 11 ]. ## or [ [ 96, 196 ], 46 ]. ## or [ [ 96, 197 ], 40 ]. ## or [ [ 96, 197 ], 54 ]. ## or [ [ 96, 197 ], 60 ]. ## or [ [ 96, 228 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 52 rises from the (96,20,4) difference set ## [ [ 96, 70 ], 10 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 53 rises from the (96,20,4) difference set ## [ [ 96, 70 ], 11 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 54 rises from the difference set ## [ [ 96, 70 ], 12 ]. ## or [ [ 96, 190 ], 6 ]. ## or [ [ 96, 195 ], 42 ]. ## or [ [ 96, 227 ], 13 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 55 rises from the difference set ## [ [ 96, 70 ], 13 ]. ## or [ [ 96, 70 ], 14 ]. ## or [ [ 96, 70 ], 15 ]. ## or [ [ 96, 70 ], 16 ]. ## or [ [ 96, 228 ], 24 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 56 rises from the (96,20,4) difference set ## [ [ 96, 70 ], 17 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 57 rises from the difference set ## [ [ 96, 70 ], 18 ]. ## or [ [ 96, 87 ], 14 ]. ## or [ [ 96, 144 ], 2 ]. ## or [ [ 96, 167 ], 38 ]. ## or [ [ 96, 227 ], 9 ]. ## or [ [ 96, 228 ], 31 ]. ## or [ [ 96, 229 ], 4 ]. ## or [ [ 96, 230 ], 6 ]. ## or [ [ 96, 230 ], 7 ]. ## or [ [ 96, 230 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 58 rises from the difference set ## [ [ 96, 70 ], 22 ]. ## or [ [ 96, 195 ], 45 ]. ## or [ [ 96, 227 ], 22 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 59 rises from the difference set ## [ [ 96, 70 ], 25 ]. ## or [ [ 96, 70 ], 27 ]. ## or [ [ 96, 70 ], 28 ]. ## or [ [ 96, 167 ], 52 ]. ## or [ [ 96, 196 ], 67 ]. ## or [ [ 96, 197 ], 34 ]. ## or [ [ 96, 226 ], 28 ]. ## or [ [ 96, 227 ], 5 ]. ## or [ [ 96, 227 ], 6 ]. ## or [ [ 96, 228 ], 28 ]. ## or [ [ 96, 228 ], 33 ]. ## or [ [ 96, 229 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 60 rises from the difference set ## [ [ 96, 70 ], 26 ]. ## or [ [ 96, 229 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 61 rises from the (96,20,4) difference set ## [ [ 96, 72 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 62 rises from the difference set ## [ [ 96, 72 ], 2 ]. ## or [ [ 96, 78 ], 8 ]. ## or [ [ 96, 147 ], 4 ]. ## or [ [ 96, 174 ], 2 ]. ## or [ [ 96, 209 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 63 rises from the difference set ## [ [ 96, 75 ], 1 ]. ## or [ [ 96, 88 ], 32 ]. ## or [ [ 96, 92 ], 30 ]. ## or [ [ 96, 103 ], 28 ]. ## or [ [ 96, 131 ], 4 ]. ## or [ [ 96, 146 ], 27 ]. ## or [ [ 96, 165 ], 5 ]. ## or [ [ 96, 205 ], 45 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 64 rises from the difference set ## [ [ 96, 75 ], 2 ]. ## or [ [ 96, 88 ], 20 ]. ## or [ [ 96, 92 ], 5 ]. ## or [ [ 96, 103 ], 20 ]. ## or [ [ 96, 131 ], 6 ]. ## or [ [ 96, 146 ], 7 ]. ## or [ [ 96, 165 ], 6 ]. ## or [ [ 96, 205 ], 46 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 65 rises from the difference set ## [ [ 96, 75 ], 3 ]. ## or [ [ 96, 88 ], 19 ]. ## or [ [ 96, 92 ], 6 ]. ## or [ [ 96, 103 ], 19 ]. ## or [ [ 96, 131 ], 3 ]. ## or [ [ 96, 146 ], 8 ]. ## or [ [ 96, 165 ], 4 ]. ## or [ [ 96, 205 ], 36 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 66 rises from the difference set ## [ [ 96, 75 ], 4 ]. ## or [ [ 96, 77 ], 25 ]. ## or [ [ 96, 79 ], 19 ]. ## or [ [ 96, 83 ], 16 ]. ## or [ [ 96, 131 ], 10 ]. ## or [ [ 96, 135 ], 12 ]. ## or [ [ 96, 136 ], 4 ]. ## or [ [ 96, 161 ], 1 ]. ## Symmetric (96,20,4) design number 67 rises from the difference set ## [ [ 96, 75 ], 5 ]. ## or [ [ 96, 77 ], 35 ]. ## or [ [ 96, 79 ], 18 ]. ## or [ [ 96, 83 ], 13 ]. ## or [ [ 96, 131 ], 37 ]. ## or [ [ 96, 135 ], 3 ]. ## or [ [ 96, 136 ], 2 ]. ## or [ [ 96, 161 ], 3 ]. ## Symmetric (96,20,4) design number 68 rises from the difference set ## [ [ 96, 75 ], 6 ]. ## or [ [ 96, 77 ], 40 ]. ## or [ [ 96, 79 ], 20 ]. ## or [ [ 96, 83 ], 17 ]. ## or [ [ 96, 131 ], 15 ]. ## or [ [ 96, 135 ], 9 ]. ## or [ [ 96, 136 ], 3 ]. ## or [ [ 96, 161 ], 4 ]. ## Symmetric (96,20,4) design number 69 rises from the difference set ## [ [ 96, 75 ], 7 ]. ## or [ [ 96, 77 ], 9 ]. ## or [ [ 96, 77 ], 28 ]. ## or [ [ 96, 96 ], 34 ]. ## or [ [ 96, 96 ], 80 ]. ## or [ [ 96, 97 ], 2 ]. ## or [ [ 96, 151 ], 10 ]. ## or [ [ 96, 166 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 70 rises from the difference set ## [ [ 96, 75 ], 8 ]. ## or [ [ 96, 77 ], 10 ]. ## or [ [ 96, 77 ], 31 ]. ## or [ [ 96, 96 ], 35 ]. ## or [ [ 96, 96 ], 81 ]. ## or [ [ 96, 97 ], 7 ]. ## or [ [ 96, 151 ], 11 ]. ## or [ [ 96, 166 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 71 rises from the difference set ## [ [ 96, 75 ], 9 ]. ## or [ [ 96, 77 ], 12 ]. ## or [ [ 96, 77 ], 34 ]. ## or [ [ 96, 96 ], 68 ]. ## or [ [ 96, 96 ], 83 ]. ## or [ [ 96, 97 ], 3 ]. ## or [ [ 96, 151 ], 9 ]. ## or [ [ 96, 166 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 72 rises from the difference set ## [ [ 96, 75 ], 10 ]. ## or [ [ 96, 85 ], 1 ]. ## or [ [ 96, 85 ], 94 ]. ## or [ [ 96, 88 ], 29 ]. ## or [ [ 96, 88 ], 42 ]. ## or [ [ 96, 145 ], 3 ]. ## or [ [ 96, 171 ], 6 ]. ## or [ [ 96, 212 ], 15 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 73 rises from the difference set ## [ [ 96, 75 ], 11 ]. ## or [ [ 96, 85 ], 4 ]. ## or [ [ 96, 85 ], 97 ]. ## or [ [ 96, 88 ], 3 ]. ## or [ [ 96, 88 ], 38 ]. ## or [ [ 96, 145 ], 1 ]. ## or [ [ 96, 171 ], 5 ]. ## or [ [ 96, 212 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 74 rises from the difference set ## [ [ 96, 75 ], 12 ]. ## or [ [ 96, 77 ], 18 ]. ## or [ [ 96, 77 ], 36 ]. ## or [ [ 96, 96 ], 40 ]. ## or [ [ 96, 96 ], 93 ]. ## or [ [ 96, 97 ], 8 ]. ## or [ [ 96, 151 ], 22 ]. ## or [ [ 96, 166 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 75 rises from the difference set ## [ [ 96, 75 ], 13 ]. ## or [ [ 96, 77 ], 19 ]. ## or [ [ 96, 77 ], 29 ]. ## or [ [ 96, 96 ], 39 ]. ## or [ [ 96, 96 ], 97 ]. ## or [ [ 96, 97 ], 4 ]. ## or [ [ 96, 151 ], 17 ]. ## or [ [ 96, 166 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 76 rises from the difference set ## [ [ 96, 75 ], 14 ]. ## or [ [ 96, 77 ], 11 ]. ## or [ [ 96, 77 ], 37 ]. ## or [ [ 96, 96 ], 44 ]. ## or [ [ 96, 96 ], 88 ]. ## or [ [ 96, 97 ], 6 ]. ## or [ [ 96, 151 ], 14 ]. ## or [ [ 96, 166 ], 13 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 77 rises from the difference set ## [ [ 96, 75 ], 15 ]. ## or [ [ 96, 85 ], 10 ]. ## or [ [ 96, 85 ], 102 ]. ## or [ [ 96, 88 ], 14 ]. ## or [ [ 96, 88 ], 48 ]. ## or [ [ 96, 145 ], 4 ]. ## or [ [ 96, 171 ], 8 ]. ## or [ [ 96, 212 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 78 rises from the difference set ## [ [ 96, 75 ], 16 ]. ## or [ [ 96, 77 ], 20 ]. ## or [ [ 96, 77 ], 39 ]. ## or [ [ 96, 96 ], 46 ]. ## or [ [ 96, 96 ], 99 ]. ## or [ [ 96, 97 ], 5 ]. ## or [ [ 96, 151 ], 20 ]. ## or [ [ 96, 166 ], 16 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 79 rises from the difference set ## [ [ 96, 75 ], 17 ]. ## or [ [ 96, 88 ], 21 ]. ## or [ [ 96, 92 ], 2 ]. ## or [ [ 96, 103 ], 7 ]. ## or [ [ 96, 131 ], 8 ]. ## or [ [ 96, 146 ], 3 ]. ## or [ [ 96, 165 ], 3 ]. ## or [ [ 96, 205 ], 34 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 80 rises from the difference set ## [ [ 96, 75 ], 18 ]. ## or [ [ 96, 88 ], 22 ]. ## or [ [ 96, 92 ], 3 ]. ## or [ [ 96, 103 ], 8 ]. ## or [ [ 96, 131 ], 38 ]. ## or [ [ 96, 146 ], 4 ]. ## or [ [ 96, 165 ], 1 ]. ## or [ [ 96, 205 ], 33 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 81 rises from the difference set ## [ [ 96, 75 ], 19 ]. ## or [ [ 96, 88 ], 31 ]. ## or [ [ 96, 92 ], 28 ]. ## or [ [ 96, 103 ], 24 ]. ## or [ [ 96, 131 ], 9 ]. ## or [ [ 96, 146 ], 23 ]. ## or [ [ 96, 165 ], 2 ]. ## or [ [ 96, 205 ], 35 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 82 rises from the difference set ## [ [ 96, 75 ], 20 ]. ## or [ [ 96, 88 ], 24 ]. ## or [ [ 96, 92 ], 8 ]. ## or [ [ 96, 103 ], 9 ]. ## or [ [ 96, 131 ], 17 ]. ## or [ [ 96, 146 ], 6 ]. ## or [ [ 96, 165 ], 7 ]. ## or [ [ 96, 205 ], 37 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 83 rises from the difference set ## [ [ 96, 75 ], 21 ]. ## or [ [ 96, 88 ], 23 ]. ## or [ [ 96, 92 ], 9 ]. ## or [ [ 96, 103 ], 21 ]. ## or [ [ 96, 131 ], 16 ]. ## or [ [ 96, 146 ], 9 ]. ## or [ [ 96, 165 ], 8 ]. ## or [ [ 96, 205 ], 38 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 84 rises from the difference set ## [ [ 96, 75 ], 22 ]. ## or [ [ 96, 77 ], 30 ]. ## or [ [ 96, 79 ], 17 ]. ## or [ [ 96, 83 ], 12 ]. ## or [ [ 96, 131 ], 7 ]. ## or [ [ 96, 135 ], 5 ]. ## or [ [ 96, 136 ], 1 ]. ## or [ [ 96, 161 ], 2 ]. ## Symmetric (96,20,4) design number 85 rises from the difference set ## [ [ 96, 75 ], 23 ]. ## or [ [ 96, 85 ], 53 ]. ## or [ [ 96, 85 ], 98 ]. ## or [ [ 96, 88 ], 5 ]. ## or [ [ 96, 88 ], 39 ]. ## or [ [ 96, 145 ], 2 ]. ## or [ [ 96, 171 ], 7 ]. ## or [ [ 96, 212 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 86 rises from the difference set ## [ [ 96, 75 ], 24 ]. ## or [ [ 96, 77 ], 17 ]. ## or [ [ 96, 77 ], 26 ]. ## or [ [ 96, 96 ], 69 ]. ## or [ [ 96, 96 ], 105 ]. ## or [ [ 96, 97 ], 1 ]. ## or [ [ 96, 151 ], 16 ]. ## or [ [ 96, 166 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 87 rises from the difference set ## [ [ 96, 75 ], 25 ]. ## or [ [ 96, 94 ], 53 ]. ## or [ [ 96, 95 ], 28 ]. ## or [ [ 96, 96 ], 4 ]. ## or [ [ 96, 96 ], 91 ]. ## or [ [ 96, 96 ], 94 ]. ## or [ [ 96, 97 ], 15 ]. ## or [ [ 96, 172 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 88 rises from the difference set ## [ [ 96, 75 ], 26 ]. ## or [ [ 96, 94 ], 81 ]. ## or [ [ 96, 95 ], 26 ]. ## or [ [ 96, 96 ], 1 ]. ## or [ [ 96, 96 ], 106 ]. ## or [ [ 96, 96 ], 107 ]. ## or [ [ 96, 97 ], 13 ]. ## or [ [ 96, 172 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 89 rises from the difference set ## [ [ 96, 75 ], 27 ]. ## or [ [ 96, 94 ], 61 ]. ## or [ [ 96, 95 ], 29 ]. ## or [ [ 96, 96 ], 19 ]. ## or [ [ 96, 96 ], 92 ]. ## or [ [ 96, 96 ], 96 ]. ## or [ [ 96, 97 ], 14 ]. ## or [ [ 96, 172 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 90 rises from the difference set ## [ [ 96, 75 ], 28 ]. ## or [ [ 96, 77 ], 22 ]. ## or [ [ 96, 84 ], 64 ]. ## or [ [ 96, 85 ], 40 ]. ## or [ [ 96, 96 ], 21 ]. ## or [ [ 96, 96 ], 36 ]. ## or [ [ 96, 130 ], 46 ]. ## or [ [ 96, 164 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 91 rises from the difference set ## [ [ 96, 75 ], 29 ]. ## or [ [ 96, 94 ], 49 ]. ## or [ [ 96, 95 ], 16 ]. ## or [ [ 96, 96 ], 50 ]. ## or [ [ 96, 96 ], 84 ]. ## or [ [ 96, 96 ], 85 ]. ## or [ [ 96, 97 ], 10 ]. ## or [ [ 96, 172 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 92 rises from the difference set ## [ [ 96, 75 ], 30 ]. ## or [ [ 96, 79 ], 7 ]. ## or [ [ 96, 83 ], 15 ]. ## or [ [ 96, 94 ], 31 ]. ## or [ [ 96, 103 ], 37 ]. ## or [ [ 96, 105 ], 4 ]. ## or [ [ 96, 151 ], 4 ]. ## or [ [ 96, 166 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 93 rises from the difference set ## [ [ 96, 75 ], 31 ]. ## or [ [ 96, 79 ], 1 ]. ## or [ [ 96, 83 ], 14 ]. ## or [ [ 96, 94 ], 73 ]. ## or [ [ 96, 103 ], 33 ]. ## or [ [ 96, 105 ], 2 ]. ## or [ [ 96, 151 ], 6 ]. ## or [ [ 96, 166 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 94 rises from the difference set ## [ [ 96, 75 ], 32 ]. ## or [ [ 96, 94 ], 46 ]. ## or [ [ 96, 95 ], 18 ]. ## or [ [ 96, 96 ], 48 ]. ## or [ [ 96, 96 ], 79 ]. ## or [ [ 96, 96 ], 82 ]. ## or [ [ 96, 97 ], 12 ]. ## or [ [ 96, 172 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 95 rises from the difference set ## [ [ 96, 75 ], 33 ]. ## or [ [ 96, 77 ], 21 ]. ## or [ [ 96, 84 ], 41 ]. ## or [ [ 96, 85 ], 42 ]. ## or [ [ 96, 96 ], 8 ]. ## or [ [ 96, 96 ], 38 ]. ## or [ [ 96, 130 ], 71 ]. ## or [ [ 96, 164 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 96 rises from the difference set ## [ [ 96, 75 ], 34 ]. ## or [ [ 96, 94 ], 43 ]. ## or [ [ 96, 95 ], 17 ]. ## or [ [ 96, 96 ], 70 ]. ## or [ [ 96, 96 ], 77 ]. ## or [ [ 96, 96 ], 78 ]. ## or [ [ 96, 97 ], 9 ]. ## or [ [ 96, 172 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 97 rises from the difference set ## [ [ 96, 75 ], 35 ]. ## or [ [ 96, 94 ], 66 ]. ## or [ [ 96, 95 ], 48 ]. ## or [ [ 96, 96 ], 5 ]. ## or [ [ 96, 96 ], 100 ]. ## or [ [ 96, 96 ], 102 ]. ## or [ [ 96, 97 ], 16 ]. ## or [ [ 96, 172 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 98 rises from the difference set ## [ [ 96, 75 ], 36 ]. ## or [ [ 96, 79 ], 5 ]. ## or [ [ 96, 83 ], 18 ]. ## or [ [ 96, 94 ], 35 ]. ## or [ [ 96, 103 ], 40 ]. ## or [ [ 96, 105 ], 3 ]. ## or [ [ 96, 151 ], 21 ]. ## or [ [ 96, 166 ], 14 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 99 rises from the difference set ## [ [ 96, 75 ], 37 ]. ## or [ [ 96, 77 ], 24 ]. ## or [ [ 96, 84 ], 50 ]. ## or [ [ 96, 85 ], 56 ]. ## or [ [ 96, 96 ], 12 ]. ## or [ [ 96, 96 ], 45 ]. ## or [ [ 96, 130 ], 72 ]. ## or [ [ 96, 164 ], 15 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 100 rises from the difference set ## [ [ 96, 75 ], 38 ]. ## or [ [ 96, 85 ], 135 ]. ## or [ [ 96, 86 ], 24 ]. ## or [ [ 96, 96 ], 76 ]. ## or [ [ 96, 129 ], 36 ]. ## or [ [ 96, 133 ], 3 ]. ## or [ [ 96, 142 ], 19 ]. ## or [ [ 96, 165 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 101 rises from the difference set ## [ [ 96, 75 ], 39 ]. ## or [ [ 96, 85 ], 122 ]. ## or [ [ 96, 86 ], 3 ]. ## or [ [ 96, 96 ], 104 ]. ## or [ [ 96, 129 ], 35 ]. ## or [ [ 96, 133 ], 2 ]. ## or [ [ 96, 142 ], 17 ]. ## or [ [ 96, 165 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 102 rises from the difference set ## [ [ 96, 75 ], 40 ]. ## or [ [ 96, 85 ], 121 ]. ## or [ [ 96, 86 ], 4 ]. ## or [ [ 96, 96 ], 73 ]. ## or [ [ 96, 129 ], 27 ]. ## or [ [ 96, 133 ], 4 ]. ## or [ [ 96, 142 ], 3 ]. ## or [ [ 96, 165 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 103 rises from the difference set ## [ [ 96, 75 ], 41 ]. ## or [ [ 96, 85 ], 123 ]. ## or [ [ 96, 86 ], 5 ]. ## or [ [ 96, 96 ], 117 ]. ## or [ [ 96, 129 ], 28 ]. ## or [ [ 96, 133 ], 7 ]. ## or [ [ 96, 142 ], 59 ]. ## or [ [ 96, 165 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 104 rises from the difference set ## [ [ 96, 75 ], 42 ]. ## or [ [ 96, 85 ], 124 ]. ## or [ [ 96, 86 ], 6 ]. ## or [ [ 96, 96 ], 116 ]. ## or [ [ 96, 129 ], 29 ]. ## or [ [ 96, 133 ], 8 ]. ## or [ [ 96, 142 ], 33 ]. ## or [ [ 96, 165 ], 13 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 105 rises from the difference set ## [ [ 96, 75 ], 43 ]. ## or [ [ 96, 85 ], 126 ]. ## or [ [ 96, 86 ], 8 ]. ## or [ [ 96, 96 ], 86 ]. ## or [ [ 96, 129 ], 31 ]. ## or [ [ 96, 133 ], 6 ]. ## or [ [ 96, 142 ], 4 ]. ## or [ [ 96, 165 ], 15 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 106 rises from the difference set ## [ [ 96, 75 ], 44 ]. ## or [ [ 96, 85 ], 127 ]. ## or [ [ 96, 86 ], 9 ]. ## or [ [ 96, 96 ], 120 ]. ## or [ [ 96, 129 ], 32 ]. ## or [ [ 96, 133 ], 5 ]. ## or [ [ 96, 142 ], 52 ]. ## or [ [ 96, 165 ], 16 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 107 rises from the difference set ## [ [ 96, 75 ], 45 ]. ## or [ [ 96, 77 ], 1 ]. ## or [ [ 96, 84 ], 23 ]. ## or [ [ 96, 85 ], 25 ]. ## or [ [ 96, 96 ], 24 ]. ## or [ [ 96, 96 ], 64 ]. ## or [ [ 96, 130 ], 53 ]. ## or [ [ 96, 164 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 108 rises from the difference set ## [ [ 96, 75 ], 46 ]. ## or [ [ 96, 84 ], 61 ]. ## or [ [ 96, 85 ], 72 ]. ## or [ [ 96, 86 ], 33 ]. ## or [ [ 96, 94 ], 4 ]. ## or [ [ 96, 94 ], 27 ]. ## or [ [ 96, 95 ], 11 ]. ## or [ [ 96, 173 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 109 rises from the difference set ## [ [ 96, 75 ], 47 ]. ## or [ [ 96, 84 ], 1 ]. ## or [ [ 96, 85 ], 44 ]. ## or [ [ 96, 86 ], 35 ]. ## or [ [ 96, 94 ], 47 ]. ## or [ [ 96, 94 ], 57 ]. ## or [ [ 96, 95 ], 13 ]. ## or [ [ 96, 173 ], 13 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 110 rises from the difference set ## [ [ 96, 75 ], 48 ]. ## or [ [ 96, 77 ], 14 ]. ## or [ [ 96, 84 ], 8 ]. ## or [ [ 96, 85 ], 27 ]. ## or [ [ 96, 96 ], 16 ]. ## or [ [ 96, 96 ], 66 ]. ## or [ [ 96, 130 ], 55 ]. ## or [ [ 96, 164 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 111 rises from the difference set ## [ [ 96, 75 ], 49 ]. ## or [ [ 96, 75 ], 87 ]. ## or [ [ 96, 86 ], 18 ]. ## or [ [ 96, 86 ], 21 ]. ## or [ [ 96, 94 ], 10 ]. ## or [ [ 96, 95 ], 37 ]. ## or [ [ 96, 131 ], 24 ]. ## or [ [ 96, 164 ], 19 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 112 rises from the difference set ## [ [ 96, 75 ], 50 ]. ## or [ [ 96, 77 ], 3 ]. ## or [ [ 96, 84 ], 10 ]. ## or [ [ 96, 85 ], 78 ]. ## or [ [ 96, 96 ], 30 ]. ## or [ [ 96, 96 ], 58 ]. ## or [ [ 96, 130 ], 29 ]. ## or [ [ 96, 164 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 113 rises from the difference set ## [ [ 96, 75 ], 51 ]. ## or [ [ 96, 75 ], 59 ]. ## or [ [ 96, 86 ], 16 ]. ## or [ [ 96, 86 ], 19 ]. ## or [ [ 96, 94 ], 11 ]. ## or [ [ 96, 95 ], 38 ]. ## or [ [ 96, 131 ], 26 ]. ## or [ [ 96, 164 ], 18 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 114 rises from the difference set ## [ [ 96, 75 ], 52 ]. ## or [ [ 96, 84 ], 29 ]. ## or [ [ 96, 85 ], 76 ]. ## or [ [ 96, 86 ], 34 ]. ## or [ [ 96, 94 ], 1 ]. ## or [ [ 96, 94 ], 26 ]. ## or [ [ 96, 95 ], 5 ]. ## or [ [ 96, 173 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 115 rises from the difference set ## [ [ 96, 75 ], 53 ]. ## or [ [ 96, 84 ], 2 ]. ## or [ [ 96, 85 ], 43 ]. ## or [ [ 96, 86 ], 37 ]. ## or [ [ 96, 94 ], 44 ]. ## or [ [ 96, 94 ], 80 ]. ## or [ [ 96, 95 ], 14 ]. ## or [ [ 96, 173 ], 14 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 116 rises from the difference set ## [ [ 96, 75 ], 54 ]. ## or [ [ 96, 84 ], 19 ]. ## or [ [ 96, 85 ], 45 ]. ## or [ [ 96, 86 ], 36 ]. ## or [ [ 96, 94 ], 48 ]. ## or [ [ 96, 94 ], 60 ]. ## or [ [ 96, 95 ], 15 ]. ## or [ [ 96, 173 ], 15 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 117 rises from the difference set ## [ [ 96, 75 ], 55 ]. ## or [ [ 96, 75 ], 64 ]. ## or [ [ 96, 86 ], 17 ]. ## or [ [ 96, 86 ], 20 ]. ## or [ [ 96, 94 ], 28 ]. ## or [ [ 96, 95 ], 39 ]. ## or [ [ 96, 131 ], 25 ]. ## or [ [ 96, 164 ], 17 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 118 rises from the difference set ## [ [ 96, 75 ], 56 ]. ## or [ [ 96, 84 ], 32 ]. ## or [ [ 96, 85 ], 75 ]. ## or [ [ 96, 86 ], 32 ]. ## or [ [ 96, 94 ], 3 ]. ## or [ [ 96, 94 ], 5 ]. ## or [ [ 96, 95 ], 4 ]. ## or [ [ 96, 173 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 119 rises from the difference set ## [ [ 96, 75 ], 57 ]. ## or [ [ 96, 77 ], 16 ]. ## or [ [ 96, 84 ], 7 ]. ## or [ [ 96, 85 ], 26 ]. ## or [ [ 96, 96 ], 17 ]. ## or [ [ 96, 96 ], 65 ]. ## or [ [ 96, 130 ], 54 ]. ## or [ [ 96, 164 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 120 rises from the difference set ## [ [ 96, 75 ], 58 ]. ## or [ [ 96, 77 ], 2 ]. ## or [ [ 96, 84 ], 22 ]. ## or [ [ 96, 85 ], 83 ]. ## or [ [ 96, 96 ], 28 ]. ## or [ [ 96, 96 ], 60 ]. ## or [ [ 96, 130 ], 7 ]. ## or [ [ 96, 164 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 121 rises from the difference set ## [ [ 96, 75 ], 60 ]. ## or [ [ 96, 84 ], 13 ]. ## or [ [ 96, 85 ], 88 ]. ## or [ [ 96, 86 ], 27 ]. ## or [ [ 96, 94 ], 58 ]. ## or [ [ 96, 94 ], 71 ]. ## or [ [ 96, 95 ], 19 ]. ## or [ [ 96, 173 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 122 rises from the difference set ## [ [ 96, 75 ], 61 ]. ## or [ [ 96, 84 ], 51 ]. ## or [ [ 96, 85 ], 34 ]. ## or [ [ 96, 86 ], 26 ]. ## or [ [ 96, 94 ], 14 ]. ## or [ [ 96, 94 ], 19 ]. ## or [ [ 96, 95 ], 42 ]. ## or [ [ 96, 173 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 123 rises from the difference set ## [ [ 96, 75 ], 62 ]. ## or [ [ 96, 84 ], 24 ]. ## or [ [ 96, 85 ], 84 ]. ## or [ [ 96, 86 ], 13 ]. ## or [ [ 96, 94 ], 69 ]. ## or [ [ 96, 94 ], 83 ]. ## or [ [ 96, 95 ], 24 ]. ## or [ [ 96, 173 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 124 rises from the difference set ## [ [ 96, 75 ], 63 ]. ## or [ [ 96, 84 ], 52 ]. ## or [ [ 96, 85 ], 35 ]. ## or [ [ 96, 86 ], 10 ]. ## or [ [ 96, 94 ], 16 ]. ## or [ [ 96, 94 ], 18 ]. ## or [ [ 96, 95 ], 43 ]. ## or [ [ 96, 173 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 125 rises from the difference set ## [ [ 96, 75 ], 65 ]. ## or [ [ 96, 77 ], 15 ]. ## or [ [ 96, 84 ], 9 ]. ## or [ [ 96, 85 ], 80 ]. ## or [ [ 96, 96 ], 29 ]. ## or [ [ 96, 96 ], 59 ]. ## or [ [ 96, 130 ], 8 ]. ## or [ [ 96, 164 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 126 rises from the difference set ## [ [ 96, 75 ], 66 ]. ## or [ [ 96, 75 ], 70 ]. ## or [ [ 96, 86 ], 25 ]. ## or [ [ 96, 86 ], 28 ]. ## or [ [ 96, 94 ], 12 ]. ## or [ [ 96, 95 ], 41 ]. ## or [ [ 96, 131 ], 35 ]. ## or [ [ 96, 164 ], 20 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 127 rises from the difference set ## [ [ 96, 75 ], 67 ]. ## or [ [ 96, 84 ], 5 ]. ## or [ [ 96, 85 ], 66 ]. ## or [ [ 96, 86 ], 39 ]. ## or [ [ 96, 94 ], 62 ]. ## or [ [ 96, 94 ], 67 ]. ## or [ [ 96, 95 ], 30 ]. ## or [ [ 96, 173 ], 16 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 128 rises from the difference set ## [ [ 96, 75 ], 68 ]. ## or [ [ 96, 84 ], 45 ]. ## or [ [ 96, 85 ], 108 ]. ## or [ [ 96, 86 ], 38 ]. ## or [ [ 96, 94 ], 7 ]. ## or [ [ 96, 94 ], 9 ]. ## or [ [ 96, 95 ], 8 ]. ## or [ [ 96, 173 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 129 rises from the difference set ## [ [ 96, 75 ], 69 ]. ## or [ [ 96, 77 ], 6 ]. ## or [ [ 96, 84 ], 11 ]. ## or [ [ 96, 85 ], 63 ]. ## or [ [ 96, 96 ], 18 ]. ## or [ [ 96, 96 ], 67 ]. ## or [ [ 96, 130 ], 64 ]. ## or [ [ 96, 164 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 130 rises from the difference set ## [ [ 96, 75 ], 71 ]. ## or [ [ 96, 84 ], 54 ]. ## or [ [ 96, 85 ], 62 ]. ## or [ [ 96, 86 ], 14 ]. ## or [ [ 96, 94 ], 23 ]. ## or [ [ 96, 94 ], 24 ]. ## or [ [ 96, 95 ], 44 ]. ## or [ [ 96, 173 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 131 rises from the difference set ## [ [ 96, 75 ], 72 ]. ## or [ [ 96, 84 ], 15 ]. ## or [ [ 96, 85 ], 112 ]. ## or [ [ 96, 86 ], 15 ]. ## or [ [ 96, 94 ], 65 ]. ## or [ [ 96, 94 ], 72 ]. ## or [ [ 96, 95 ], 31 ]. ## or [ [ 96, 173 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 132 rises from the difference set ## [ [ 96, 75 ], 73 ]. ## or [ [ 96, 79 ], 9 ]. ## or [ [ 96, 83 ], 2 ]. ## or [ [ 96, 94 ], 32 ]. ## or [ [ 96, 103 ], 11 ]. ## or [ [ 96, 105 ], 5 ]. ## or [ [ 96, 151 ], 2 ]. ## or [ [ 96, 166 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 133 rises from the difference set ## [ [ 96, 75 ], 74 ]. ## or [ [ 96, 79 ], 13 ]. ## or [ [ 96, 83 ], 9 ]. ## or [ [ 96, 94 ], 30 ]. ## or [ [ 96, 103 ], 26 ]. ## or [ [ 96, 105 ], 7 ]. ## or [ [ 96, 151 ], 3 ]. ## or [ [ 96, 166 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 134 rises from the difference set ## [ [ 96, 75 ], 75 ]. ## or [ [ 96, 79 ], 10 ]. ## or [ [ 96, 83 ], 1 ]. ## or [ [ 96, 94 ], 29 ]. ## or [ [ 96, 103 ], 10 ]. ## or [ [ 96, 105 ], 6 ]. ## or [ [ 96, 151 ], 1 ]. ## or [ [ 96, 166 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 135 rises from the difference set ## [ [ 96, 75 ], 76 ]. ## or [ [ 96, 77 ], 4 ]. ## or [ [ 96, 84 ], 35 ]. ## or [ [ 96, 85 ], 103 ]. ## or [ [ 96, 96 ], 31 ]. ## or [ [ 96, 96 ], 72 ]. ## or [ [ 96, 130 ], 6 ]. ## or [ [ 96, 164 ], 14 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 136 rises from the difference set ## [ [ 96, 75 ], 77 ]. ## or [ [ 96, 77 ], 13 ]. ## or [ [ 96, 84 ], 34 ]. ## or [ [ 96, 85 ], 105 ]. ## or [ [ 96, 96 ], 33 ]. ## or [ [ 96, 96 ], 54 ]. ## or [ [ 96, 130 ], 25 ]. ## or [ [ 96, 164 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 137 rises from the difference set ## [ [ 96, 75 ], 78 ]. ## or [ [ 96, 77 ], 5 ]. ## or [ [ 96, 84 ], 33 ]. ## or [ [ 96, 85 ], 104 ]. ## or [ [ 96, 96 ], 32 ]. ## or [ [ 96, 96 ], 53 ]. ## or [ [ 96, 130 ], 5 ]. ## or [ [ 96, 164 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 138 rises from the difference set ## [ [ 96, 75 ], 79 ]. ## or [ [ 96, 79 ], 15 ]. ## or [ [ 96, 83 ], 3 ]. ## or [ [ 96, 94 ], 34 ]. ## or [ [ 96, 103 ], 16 ]. ## or [ [ 96, 105 ], 8 ]. ## or [ [ 96, 151 ], 7 ]. ## or [ [ 96, 166 ], 15 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 139 rises from the difference set ## [ [ 96, 75 ], 80 ]. ## or [ [ 96, 77 ], 8 ]. ## or [ [ 96, 84 ], 46 ]. ## or [ [ 96, 85 ], 106 ]. ## or [ [ 96, 96 ], 43 ]. ## or [ [ 96, 96 ], 61 ]. ## or [ [ 96, 130 ], 31 ]. ## or [ [ 96, 164 ], 16 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 140 rises from the difference set ## [ [ 96, 75 ], 81 ]. ## or [ [ 96, 77 ], 23 ]. ## or [ [ 96, 84 ], 42 ]. ## or [ [ 96, 85 ], 41 ]. ## or [ [ 96, 96 ], 9 ]. ## or [ [ 96, 96 ], 37 ]. ## or [ [ 96, 130 ], 47 ]. ## or [ [ 96, 164 ], 13 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 141 rises from the difference set ## [ [ 96, 75 ], 82 ]. ## or [ [ 96, 79 ], 4 ]. ## or [ [ 96, 83 ], 11 ]. ## or [ [ 96, 94 ], 33 ]. ## or [ [ 96, 103 ], 31 ]. ## or [ [ 96, 105 ], 1 ]. ## or [ [ 96, 151 ], 5 ]. ## or [ [ 96, 166 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 142 rises from the difference set ## [ [ 96, 75 ], 83 ]. ## or [ [ 96, 94 ], 63 ]. ## or [ [ 96, 95 ], 47 ]. ## or [ [ 96, 96 ], 52 ]. ## or [ [ 96, 96 ], 89 ]. ## or [ [ 96, 96 ], 90 ]. ## or [ [ 96, 97 ], 11 ]. ## or [ [ 96, 172 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 143 rises from the difference set ## [ [ 96, 75 ], 84 ]. ## or [ [ 96, 85 ], 125 ]. ## or [ [ 96, 86 ], 22 ]. ## or [ [ 96, 96 ], 113 ]. ## or [ [ 96, 129 ], 30 ]. ## or [ [ 96, 133 ], 1 ]. ## or [ [ 96, 142 ], 30 ]. ## or [ [ 96, 165 ], 14 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 144 rises from the difference set ## [ [ 96, 75 ], 85 ]. ## or [ [ 96, 84 ], 53 ]. ## or [ [ 96, 85 ], 36 ]. ## or [ [ 96, 86 ], 11 ]. ## or [ [ 96, 94 ], 13 ]. ## or [ [ 96, 94 ], 21 ]. ## or [ [ 96, 95 ], 46 ]. ## or [ [ 96, 173 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 145 rises from the difference set ## [ [ 96, 75 ], 86 ]. ## or [ [ 96, 84 ], 14 ]. ## or [ [ 96, 85 ], 87 ]. ## or [ [ 96, 86 ], 12 ]. ## or [ [ 96, 94 ], 56 ]. ## or [ [ 96, 94 ], 70 ]. ## or [ [ 96, 95 ], 21 ]. ## or [ [ 96, 173 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 146 rises from the difference set ## [ [ 96, 75 ], 88 ]. ## or [ [ 96, 77 ], 7 ]. ## or [ [ 96, 84 ], 12 ]. ## or [ [ 96, 85 ], 110 ]. ## or [ [ 96, 96 ], 42 ]. ## or [ [ 96, 96 ], 63 ]. ## or [ [ 96, 130 ], 32 ]. ## or [ [ 96, 164 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 147 rises from the difference set ## [ [ 96, 77 ], 27 ]. ## or [ [ 96, 96 ], 74 ]. ## or [ [ 96, 96 ], 98 ]. ## or [ [ 96, 96 ], 109 ]. ## or [ [ 96, 96 ], 115 ]. ## or [ [ 96, 152 ], 2 ]. ## or [ [ 96, 152 ], 7 ]. ## or [ [ 96, 175 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 148 rises from the difference set ## [ [ 96, 77 ], 32 ]. ## or [ [ 96, 96 ], 103 ]. ## or [ [ 96, 96 ], 108 ]. ## or [ [ 96, 96 ], 111 ]. ## or [ [ 96, 96 ], 118 ]. ## or [ [ 96, 152 ], 10 ]. ## or [ [ 96, 152 ], 12 ]. ## or [ [ 96, 175 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 149 rises from the difference set ## [ [ 96, 77 ], 33 ]. ## or [ [ 96, 96 ], 75 ]. ## or [ [ 96, 96 ], 95 ]. ## or [ [ 96, 96 ], 110 ]. ## or [ [ 96, 96 ], 114 ]. ## or [ [ 96, 152 ], 1 ]. ## or [ [ 96, 152 ], 4 ]. ## or [ [ 96, 175 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 150 rises from the difference set ## [ [ 96, 77 ], 38 ]. ## or [ [ 96, 96 ], 87 ]. ## or [ [ 96, 96 ], 101 ]. ## or [ [ 96, 96 ], 112 ]. ## or [ [ 96, 96 ], 119 ]. ## or [ [ 96, 152 ], 3 ]. ## or [ [ 96, 152 ], 8 ]. ## or [ [ 96, 175 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 151 rises from the difference set ## [ [ 96, 78 ], 1 ]. ## or [ [ 96, 88 ], 7 ]. ## or [ [ 96, 88 ], 34 ]. ## or [ [ 96, 91 ], 2 ]. ## or [ [ 96, 91 ], 5 ]. ## or [ [ 96, 151 ], 35 ]. ## or [ [ 96, 171 ], 11 ]. ## or [ [ 96, 210 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 152 rises from the difference set ## [ [ 96, 78 ], 2 ]. ## or [ [ 96, 88 ], 8 ]. ## or [ [ 96, 88 ], 33 ]. ## or [ [ 96, 91 ], 1 ]. ## or [ [ 96, 91 ], 6 ]. ## or [ [ 96, 151 ], 28 ]. ## or [ [ 96, 171 ], 10 ]. ## or [ [ 96, 210 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 153 rises from the difference set ## [ [ 96, 78 ], 3 ]. ## or [ [ 96, 88 ], 16 ]. ## or [ [ 96, 88 ], 45 ]. ## or [ [ 96, 91 ], 3 ]. ## or [ [ 96, 91 ], 8 ]. ## or [ [ 96, 151 ], 29 ]. ## or [ [ 96, 171 ], 15 ]. ## or [ [ 96, 210 ], 14 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 154 rises from the difference set ## [ [ 96, 78 ], 4 ]. ## or [ [ 96, 147 ], 1 ]. ## or [ [ 96, 147 ], 2 ]. ## or [ [ 96, 147 ], 3 ]. ## or [ [ 96, 174 ], 1 ]. ## or [ [ 96, 209 ], 1 ]. ## or [ [ 96, 209 ], 2 ]. ## or [ [ 96, 209 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 155 rises from the difference set ## [ [ 96, 78 ], 5 ]. ## or [ [ 96, 87 ], 6 ]. ## or [ [ 96, 87 ], 12 ]. ## or [ [ 96, 92 ], 34 ]. ## or [ [ 96, 92 ], 35 ]. ## or [ [ 96, 143 ], 1 ]. ## or [ [ 96, 171 ], 14 ]. ## or [ [ 96, 212 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 156 rises from the difference set ## [ [ 96, 78 ], 6 ]. ## or [ [ 96, 87 ], 5 ]. ## or [ [ 96, 87 ], 11 ]. ## or [ [ 96, 92 ], 10 ]. ## or [ [ 96, 92 ], 12 ]. ## or [ [ 96, 143 ], 2 ]. ## or [ [ 96, 171 ], 12 ]. ## or [ [ 96, 212 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 157 rises from the difference set ## [ [ 96, 78 ], 7 ]. ## or [ [ 96, 87 ], 4 ]. ## or [ [ 96, 87 ], 10 ]. ## or [ [ 96, 92 ], 11 ]. ## or [ [ 96, 92 ], 13 ]. ## or [ [ 96, 143 ], 7 ]. ## or [ [ 96, 171 ], 13 ]. ## or [ [ 96, 212 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 158 rises from the difference set ## [ [ 96, 78 ], 9 ]. ## or [ [ 96, 88 ], 27 ]. ## or [ [ 96, 88 ], 35 ]. ## or [ [ 96, 91 ], 4 ]. ## or [ [ 96, 91 ], 7 ]. ## or [ [ 96, 151 ], 25 ]. ## or [ [ 96, 171 ], 9 ]. ## or [ [ 96, 210 ], 19 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 159 rises from the difference set ## [ [ 96, 78 ], 10 ]. ## or [ [ 96, 87 ], 13 ]. ## or [ [ 96, 87 ], 16 ]. ## or [ [ 96, 92 ], 14 ]. ## or [ [ 96, 92 ], 15 ]. ## or [ [ 96, 143 ], 3 ]. ## or [ [ 96, 171 ], 16 ]. ## or [ [ 96, 212 ], 16 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 160 rises from the difference set ## [ [ 96, 79 ], 2 ]. ## or [ [ 96, 94 ], 17 ]. ## or [ [ 96, 96 ], 25 ]. ## or [ [ 96, 96 ], 55 ]. ## or [ [ 96, 98 ], 1 ]. ## or [ [ 96, 99 ], 10 ]. ## or [ [ 96, 103 ], 13 ]. ## or [ [ 96, 172 ], 13 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 161 rises from the difference set ## [ [ 96, 79 ], 3 ]. ## or [ [ 96, 94 ], 15 ]. ## or [ [ 96, 96 ], 26 ]. ## or [ [ 96, 96 ], 57 ]. ## or [ [ 96, 98 ], 4 ]. ## or [ [ 96, 99 ], 9 ]. ## or [ [ 96, 103 ], 15 ]. ## or [ [ 96, 172 ], 14 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 162 rises from the difference set ## [ [ 96, 79 ], 6 ]. ## or [ [ 96, 94 ], 22 ]. ## or [ [ 96, 96 ], 41 ]. ## or [ [ 96, 96 ], 62 ]. ## or [ [ 96, 98 ], 7 ]. ## or [ [ 96, 99 ], 12 ]. ## or [ [ 96, 103 ], 17 ]. ## or [ [ 96, 172 ], 16 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 163 rises from the difference set ## [ [ 96, 79 ], 8 ]. ## or [ [ 96, 94 ], 20 ]. ## or [ [ 96, 96 ], 27 ]. ## or [ [ 96, 96 ], 56 ]. ## or [ [ 96, 98 ], 20 ]. ## or [ [ 96, 99 ], 11 ]. ## or [ [ 96, 103 ], 25 ]. ## or [ [ 96, 172 ], 15 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 164 rises from the difference set ## [ [ 96, 79 ], 11 ]. ## or [ [ 96, 101 ], 2 ]. ## or [ [ 96, 101 ], 5 ]. ## or [ [ 96, 103 ], 1 ]. ## or [ [ 96, 103 ], 12 ]. ## or [ [ 96, 151 ], 34 ]. ## or [ [ 96, 175 ], 1 ]. ## or [ [ 96, 212 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 165 rises from the difference set ## [ [ 96, 79 ], 12 ]. ## or [ [ 96, 101 ], 1 ]. ## or [ [ 96, 101 ], 6 ]. ## or [ [ 96, 103 ], 2 ]. ## or [ [ 96, 103 ], 14 ]. ## or [ [ 96, 151 ], 27 ]. ## or [ [ 96, 175 ], 3 ]. ## or [ [ 96, 212 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 166 rises from the difference set ## [ [ 96, 79 ], 14 ]. ## or [ [ 96, 101 ], 4 ]. ## or [ [ 96, 101 ], 7 ]. ## or [ [ 96, 103 ], 22 ]. ## or [ [ 96, 103 ], 27 ]. ## or [ [ 96, 151 ], 26 ]. ## or [ [ 96, 175 ], 2 ]. ## or [ [ 96, 212 ], 13 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 167 rises from the difference set ## [ [ 96, 79 ], 16 ]. ## or [ [ 96, 101 ], 3 ]. ## or [ [ 96, 101 ], 8 ]. ## or [ [ 96, 103 ], 5 ]. ## or [ [ 96, 103 ], 18 ]. ## or [ [ 96, 151 ], 30 ]. ## or [ [ 96, 175 ], 4 ]. ## or [ [ 96, 212 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 168 rises from the difference set ## [ [ 96, 79 ], 21 ]. ## or [ [ 96, 94 ], 6 ]. ## or [ [ 96, 96 ], 10 ]. ## or [ [ 96, 96 ], 13 ]. ## or [ [ 96, 98 ], 3 ]. ## or [ [ 96, 99 ], 1 ]. ## or [ [ 96, 103 ], 32 ]. ## or [ [ 96, 172 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 169 rises from the difference set ## [ [ 96, 79 ], 22 ]. ## or [ [ 96, 94 ], 2 ]. ## or [ [ 96, 96 ], 14 ]. ## or [ [ 96, 96 ], 22 ]. ## or [ [ 96, 98 ], 2 ]. ## or [ [ 96, 99 ], 2 ]. ## or [ [ 96, 103 ], 34 ]. ## or [ [ 96, 172 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 170 rises from the difference set ## [ [ 96, 79 ], 23 ]. ## or [ [ 96, 94 ], 25 ]. ## or [ [ 96, 96 ], 7 ]. ## or [ [ 96, 96 ], 23 ]. ## or [ [ 96, 98 ], 19 ]. ## or [ [ 96, 99 ], 4 ]. ## or [ [ 96, 103 ], 36 ]. ## or [ [ 96, 172 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 171 rises from the difference set ## [ [ 96, 79 ], 24 ]. ## or [ [ 96, 94 ], 8 ]. ## or [ [ 96, 96 ], 11 ]. ## or [ [ 96, 96 ], 15 ]. ## or [ [ 96, 98 ], 8 ]. ## or [ [ 96, 99 ], 3 ]. ## or [ [ 96, 103 ], 39 ]. ## or [ [ 96, 172 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 172 rises from the difference set ## [ [ 96, 83 ], 4 ]. ## or [ [ 96, 83 ], 5 ]. ## or [ [ 96, 83 ], 6 ]. ## or [ [ 96, 83 ], 7 ]. ## or [ [ 96, 130 ], 34 ]. ## or [ [ 96, 130 ], 36 ]. ## or [ [ 96, 130 ], 52 ]. ## or [ [ 96, 161 ], 5 ]. ## Symmetric (96,20,4) design number 173 rises from the difference set ## [ [ 96, 84 ], 3 ]. ## or [ [ 96, 85 ], 32 ]. ## or [ [ 96, 85 ], 73 ]. ## or [ [ 96, 95 ], 7 ]. ## or [ [ 96, 95 ], 27 ]. ## or [ [ 96, 142 ], 62 ]. ## or [ [ 96, 170 ], 1 ]. ## or [ [ 96, 205 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 174 rises from the difference set ## [ [ 96, 84 ], 4 ]. ## or [ [ 96, 85 ], 31 ]. ## or [ [ 96, 85 ], 77 ]. ## or [ [ 96, 95 ], 6 ]. ## or [ [ 96, 95 ], 25 ]. ## or [ [ 96, 142 ], 45 ]. ## or [ [ 96, 170 ], 2 ]. ## or [ [ 96, 205 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 175 rises from the difference set ## [ [ 96, 84 ], 6 ]. ## or [ [ 96, 85 ], 61 ]. ## or [ [ 96, 85 ], 107 ]. ## or [ [ 96, 95 ], 9 ]. ## or [ [ 96, 95 ], 33 ]. ## or [ [ 96, 142 ], 58 ]. ## or [ [ 96, 170 ], 10 ]. ## or [ [ 96, 205 ], 29 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 176 rises from the difference set ## [ [ 96, 84 ], 16 ]. ## or [ [ 96, 88 ], 26 ]. ## or [ [ 96, 88 ], 36 ]. ## or [ [ 96, 103 ], 4 ]. ## or [ [ 96, 103 ], 35 ]. ## or [ [ 96, 144 ], 5 ]. ## or [ [ 96, 170 ], 25 ]. ## or [ [ 96, 206 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 177 rises from the difference set ## [ [ 96, 84 ], 17 ]. ## or [ [ 96, 88 ], 1 ]. ## or [ [ 96, 88 ], 44 ]. ## or [ [ 96, 103 ], 23 ]. ## or [ [ 96, 103 ], 30 ]. ## or [ [ 96, 144 ], 7 ]. ## or [ [ 96, 170 ], 28 ]. ## or [ [ 96, 206 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 178 rises from the difference set ## [ [ 96, 84 ], 18 ]. ## or [ [ 96, 88 ], 6 ]. ## or [ [ 96, 88 ], 40 ]. ## or [ [ 96, 103 ], 3 ]. ## or [ [ 96, 103 ], 29 ]. ## or [ [ 96, 144 ], 6 ]. ## or [ [ 96, 170 ], 29 ]. ## or [ [ 96, 206 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 179 rises from the difference set ## [ [ 96, 84 ], 20 ]. ## or [ [ 96, 85 ], 33 ]. ## or [ [ 96, 85 ], 74 ]. ## or [ [ 96, 95 ], 12 ]. ## or [ [ 96, 95 ], 45 ]. ## or [ [ 96, 142 ], 43 ]. ## or [ [ 96, 170 ], 3 ]. ## or [ [ 96, 205 ], 26 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 180 rises from the difference set ## [ [ 96, 84 ], 21 ]. ## or [ [ 96, 88 ], 13 ]. ## or [ [ 96, 88 ], 47 ]. ## or [ [ 96, 103 ], 6 ]. ## or [ [ 96, 103 ], 38 ]. ## or [ [ 96, 144 ], 8 ]. ## or [ [ 96, 170 ], 38 ]. ## or [ [ 96, 206 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 181 rises from the difference set ## [ [ 96, 84 ], 25 ]. ## or [ [ 96, 85 ], 82 ]. ## or [ [ 96, 85 ], 114 ]. ## or [ [ 96, 95 ], 22 ]. ## or [ [ 96, 95 ], 79 ]. ## or [ [ 96, 142 ], 61 ]. ## or [ [ 96, 170 ], 32 ]. ## or [ [ 96, 205 ], 14 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 182 rises from the difference set ## [ [ 96, 84 ], 26 ]. ## or [ [ 96, 85 ], 81 ]. ## or [ [ 96, 85 ], 113 ]. ## or [ [ 96, 95 ], 20 ]. ## or [ [ 96, 95 ], 80 ]. ## or [ [ 96, 142 ], 34 ]. ## or [ [ 96, 170 ], 31 ]. ## or [ [ 96, 205 ], 13 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 183 rises from the difference set ## [ [ 96, 84 ], 27 ]. ## or [ [ 96, 85 ], 79 ]. ## or [ [ 96, 85 ], 115 ]. ## or [ [ 96, 95 ], 23 ]. ## or [ [ 96, 95 ], 81 ]. ## or [ [ 96, 142 ], 35 ]. ## or [ [ 96, 170 ], 36 ]. ## or [ [ 96, 205 ], 27 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 184 rises from the difference set ## [ [ 96, 84 ], 28 ]. ## or [ [ 96, 85 ], 52 ]. ## or [ [ 96, 86 ], 2 ]. ## or [ [ 96, 94 ], 55 ]. ## or [ [ 96, 96 ], 49 ]. ## or [ [ 96, 129 ], 17 ]. ## or [ [ 96, 141 ], 15 ]. ## or [ [ 96, 170 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 185 rises from the difference set ## [ [ 96, 84 ], 30 ]. ## or [ [ 96, 85 ], 6 ]. ## or [ [ 96, 86 ], 1 ]. ## or [ [ 96, 94 ], 59 ]. ## or [ [ 96, 96 ], 71 ]. ## or [ [ 96, 129 ], 7 ]. ## or [ [ 96, 141 ], 14 ]. ## or [ [ 96, 170 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 186 rises from the difference set ## [ [ 96, 84 ], 31 ]. ## or [ [ 96, 85 ], 5 ]. ## or [ [ 96, 86 ], 23 ]. ## or [ [ 96, 94 ], 51 ]. ## or [ [ 96, 96 ], 47 ]. ## or [ [ 96, 129 ], 18 ]. ## or [ [ 96, 141 ], 13 ]. ## or [ [ 96, 170 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 187 rises from the difference set ## [ [ 96, 84 ], 36 ]. ## or [ [ 96, 85 ], 22 ]. ## or [ [ 96, 85 ], 29 ]. ## or [ [ 96, 95 ], 1 ]. ## or [ [ 96, 95 ], 73 ]. ## or [ [ 96, 142 ], 27 ]. ## or [ [ 96, 170 ], 5 ]. ## or [ [ 96, 205 ], 24 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 188 rises from the difference set ## [ [ 96, 84 ], 37 ]. ## or [ [ 96, 85 ], 23 ]. ## or [ [ 96, 85 ], 28 ]. ## or [ [ 96, 95 ], 2 ]. ## or [ [ 96, 95 ], 70 ]. ## or [ [ 96, 142 ], 29 ]. ## or [ [ 96, 170 ], 6 ]. ## or [ [ 96, 205 ], 18 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 189 rises from the difference set ## [ [ 96, 84 ], 38 ]. ## or [ [ 96, 85 ], 47 ]. ## or [ [ 96, 85 ], 85 ]. ## or [ [ 96, 95 ], 67 ]. ## or [ [ 96, 95 ], 82 ]. ## or [ [ 96, 142 ], 40 ]. ## or [ [ 96, 170 ], 18 ]. ## or [ [ 96, 205 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 190 rises from the difference set ## [ [ 96, 84 ], 39 ]. ## or [ [ 96, 85 ], 46 ]. ## or [ [ 96, 85 ], 89 ]. ## or [ [ 96, 95 ], 71 ]. ## or [ [ 96, 95 ], 83 ]. ## or [ [ 96, 142 ], 37 ]. ## or [ [ 96, 170 ], 17 ]. ## or [ [ 96, 205 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 191 rises from the difference set ## [ [ 96, 84 ], 40 ]. ## or [ [ 96, 85 ], 19 ]. ## or [ [ 96, 85 ], 117 ]. ## or [ [ 96, 95 ], 53 ]. ## or [ [ 96, 95 ], 57 ]. ## or [ [ 96, 142 ], 25 ]. ## or [ [ 96, 170 ], 27 ]. ## or [ [ 96, 205 ], 21 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 192 rises from the difference set ## [ [ 96, 84 ], 43 ]. ## or [ [ 96, 85 ], 20 ]. ## or [ [ 96, 85 ], 116 ]. ## or [ [ 96, 95 ], 54 ]. ## or [ [ 96, 95 ], 58 ]. ## or [ [ 96, 142 ], 22 ]. ## or [ [ 96, 170 ], 26 ]. ## or [ [ 96, 205 ], 19 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 193 rises from the difference set ## [ [ 96, 84 ], 44 ]. ## or [ [ 96, 85 ], 109 ]. ## or [ [ 96, 85 ], 119 ]. ## or [ [ 96, 95 ], 32 ]. ## or [ [ 96, 95 ], 85 ]. ## or [ [ 96, 142 ], 53 ]. ## or [ [ 96, 170 ], 39 ]. ## or [ [ 96, 205 ], 32 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 194 rises from the difference set ## [ [ 96, 84 ], 47 ]. ## or [ [ 96, 85 ], 59 ]. ## or [ [ 96, 85 ], 60 ]. ## or [ [ 96, 95 ], 3 ]. ## or [ [ 96, 95 ], 78 ]. ## or [ [ 96, 142 ], 50 ]. ## or [ [ 96, 170 ], 12 ]. ## or [ [ 96, 205 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 195 rises from the difference set ## [ [ 96, 84 ], 48 ]. ## or [ [ 96, 85 ], 68 ]. ## or [ [ 96, 85 ], 111 ]. ## or [ [ 96, 95 ], 76 ]. ## or [ [ 96, 95 ], 86 ]. ## or [ [ 96, 142 ], 55 ]. ## or [ [ 96, 170 ], 23 ]. ## or [ [ 96, 205 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 196 rises from the difference set ## [ [ 96, 84 ], 49 ]. ## or [ [ 96, 85 ], 58 ]. ## or [ [ 96, 85 ], 120 ]. ## or [ [ 96, 95 ], 61 ]. ## or [ [ 96, 95 ], 62 ]. ## or [ [ 96, 142 ], 48 ]. ## or [ [ 96, 170 ], 37 ]. ## or [ [ 96, 205 ], 16 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 197 rises from the difference set ## [ [ 96, 84 ], 55 ]. ## or [ [ 96, 85 ], 13 ]. ## or [ [ 96, 85 ], 16 ]. ## or [ [ 96, 141 ], 12 ]. ## or [ [ 96, 141 ], 19 ]. ## or [ [ 96, 142 ], 44 ]. ## or [ [ 96, 167 ], 11 ]. ## or [ [ 96, 218 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 198 rises from the difference set ## [ [ 96, 84 ], 56 ]. ## or [ [ 96, 85 ], 14 ]. ## or [ [ 96, 85 ], 15 ]. ## or [ [ 96, 141 ], 10 ]. ## or [ [ 96, 141 ], 21 ]. ## or [ [ 96, 142 ], 63 ]. ## or [ [ 96, 167 ], 12 ]. ## or [ [ 96, 218 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 199 rises from the difference set ## [ [ 96, 84 ], 57 ]. ## or [ [ 96, 85 ], 64 ]. ## or [ [ 96, 85 ], 65 ]. ## or [ [ 96, 141 ], 11 ]. ## or [ [ 96, 141 ], 20 ]. ## or [ [ 96, 142 ], 46 ]. ## or [ [ 96, 167 ], 13 ]. ## or [ [ 96, 218 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 200 rises from the difference set ## [ [ 96, 84 ], 58 ]. ## or [ [ 96, 85 ], 128 ]. ## or [ [ 96, 85 ], 130 ]. ## or [ [ 96, 141 ], 27 ]. ## or [ [ 96, 141 ], 33 ]. ## or [ [ 96, 142 ], 36 ]. ## or [ [ 96, 167 ], 53 ]. ## or [ [ 96, 218 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 201 rises from the difference set ## [ [ 96, 84 ], 59 ]. ## or [ [ 96, 85 ], 129 ]. ## or [ [ 96, 85 ], 131 ]. ## or [ [ 96, 141 ], 28 ]. ## or [ [ 96, 141 ], 31 ]. ## or [ [ 96, 142 ], 41 ]. ## or [ [ 96, 167 ], 54 ]. ## or [ [ 96, 218 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 202 rises from the difference set ## [ [ 96, 84 ], 60 ]. ## or [ [ 96, 85 ], 132 ]. ## or [ [ 96, 85 ], 136 ]. ## or [ [ 96, 141 ], 30 ]. ## or [ [ 96, 141 ], 32 ]. ## or [ [ 96, 142 ], 39 ]. ## or [ [ 96, 167 ], 55 ]. ## or [ [ 96, 218 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 203 rises from the difference set ## [ [ 96, 84 ], 62 ]. ## or [ [ 96, 85 ], 48 ]. ## or [ [ 96, 85 ], 86 ]. ## or [ [ 96, 95 ], 84 ]. ## or [ [ 96, 95 ], 93 ]. ## or [ [ 96, 142 ], 38 ]. ## or [ [ 96, 170 ], 19 ]. ## or [ [ 96, 205 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 204 rises from the difference set ## [ [ 96, 84 ], 63 ]. ## or [ [ 96, 85 ], 24 ]. ## or [ [ 96, 85 ], 30 ]. ## or [ [ 96, 95 ], 10 ]. ## or [ [ 96, 95 ], 94 ]. ## or [ [ 96, 142 ], 28 ]. ## or [ [ 96, 170 ], 9 ]. ## or [ [ 96, 205 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 205 rises from the difference set ## [ [ 96, 84 ], 65 ]. ## or [ [ 96, 85 ], 21 ]. ## or [ [ 96, 85 ], 118 ]. ## or [ [ 96, 95 ], 55 ]. ## or [ [ 96, 95 ], 88 ]. ## or [ [ 96, 142 ], 24 ]. ## or [ [ 96, 170 ], 30 ]. ## or [ [ 96, 205 ], 15 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 206 rises from the difference set ## [ [ 96, 84 ], 66 ]. ## or [ [ 96, 85 ], 11 ]. ## or [ [ 96, 86 ], 7 ]. ## or [ [ 96, 94 ], 84 ]. ## or [ [ 96, 96 ], 51 ]. ## or [ [ 96, 129 ], 12 ]. ## or [ [ 96, 141 ], 38 ]. ## or [ [ 96, 170 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 207 rises from the difference set ## [ [ 96, 84 ], 67 ]. ## or [ [ 96, 85 ], 133 ]. ## or [ [ 96, 85 ], 134 ]. ## or [ [ 96, 141 ], 42 ]. ## or [ [ 96, 141 ], 44 ]. ## or [ [ 96, 142 ], 54 ]. ## or [ [ 96, 167 ], 56 ]. ## or [ [ 96, 218 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 208 rises from the difference set ## [ [ 96, 84 ], 68 ]. ## or [ [ 96, 85 ], 17 ]. ## or [ [ 96, 85 ], 18 ]. ## or [ [ 96, 141 ], 35 ]. ## or [ [ 96, 141 ], 36 ]. ## or [ [ 96, 142 ], 57 ]. ## or [ [ 96, 167 ], 17 ]. ## or [ [ 96, 218 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 209 rises from the difference set ## [ [ 96, 84 ], 69 ]. ## or [ [ 96, 85 ], 69 ]. ## or [ [ 96, 86 ], 40 ]. ## or [ [ 96, 94 ], 77 ]. ## or [ [ 96, 96 ], 3 ]. ## or [ [ 96, 129 ], 3 ]. ## or [ [ 96, 141 ], 16 ]. ## or [ [ 96, 170 ], 33 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 210 rises from the difference set ## [ [ 96, 84 ], 70 ]. ## or [ [ 96, 85 ], 70 ]. ## or [ [ 96, 86 ], 30 ]. ## or [ [ 96, 94 ], 78 ]. ## or [ [ 96, 96 ], 20 ]. ## or [ [ 96, 129 ], 19 ]. ## or [ [ 96, 141 ], 18 ]. ## or [ [ 96, 170 ], 34 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 211 rises from the difference set ## [ [ 96, 84 ], 71 ]. ## or [ [ 96, 85 ], 71 ]. ## or [ [ 96, 86 ], 29 ]. ## or [ [ 96, 94 ], 76 ]. ## or [ [ 96, 96 ], 2 ]. ## or [ [ 96, 129 ], 4 ]. ## or [ [ 96, 141 ], 17 ]. ## or [ [ 96, 170 ], 35 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 212 rises from the difference set ## [ [ 96, 84 ], 72 ]. ## or [ [ 96, 85 ], 90 ]. ## or [ [ 96, 86 ], 31 ]. ## or [ [ 96, 94 ], 79 ]. ## or [ [ 96, 96 ], 6 ]. ## or [ [ 96, 129 ], 20 ]. ## or [ [ 96, 141 ], 37 ]. ## or [ [ 96, 170 ], 40 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 213 rises from the difference set ## [ [ 96, 85 ], 2 ]. ## or [ [ 96, 85 ], 8 ]. ## or [ [ 96, 94 ], 75 ]. ## or [ [ 96, 141 ], 5 ]. ## or [ [ 96, 141 ], 51 ]. ## or [ [ 96, 143 ], 11 ]. ## or [ [ 96, 168 ], 6 ]. ## or [ [ 96, 205 ], 41 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 214 rises from the difference set ## [ [ 96, 85 ], 3 ]. ## or [ [ 96, 85 ], 7 ]. ## or [ [ 96, 94 ], 37 ]. ## or [ [ 96, 141 ], 7 ]. ## or [ [ 96, 141 ], 50 ]. ## or [ [ 96, 143 ], 9 ]. ## or [ [ 96, 168 ], 5 ]. ## or [ [ 96, 205 ], 40 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 215 rises from the difference set ## [ [ 96, 85 ], 9 ]. ## or [ [ 96, 85 ], 12 ]. ## or [ [ 96, 94 ], 40 ]. ## or [ [ 96, 141 ], 9 ]. ## or [ [ 96, 141 ], 57 ]. ## or [ [ 96, 143 ], 12 ]. ## or [ [ 96, 168 ], 8 ]. ## or [ [ 96, 205 ], 44 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 216 rises from the difference set ## [ [ 96, 85 ], 37 ]. ## or [ [ 96, 88 ], 12 ]. ## or [ [ 96, 90 ], 21 ]. ## or [ [ 96, 95 ], 89 ]. ## or [ [ 96, 98 ], 11 ]. ## or [ [ 96, 130 ], 82 ]. ## or [ [ 96, 170 ], 41 ]. ## or [ [ 96, 210 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 217 rises from the difference set ## [ [ 96, 85 ], 38 ]. ## or [ [ 96, 88 ], 25 ]. ## or [ [ 96, 90 ], 23 ]. ## or [ [ 96, 95 ], 90 ]. ## or [ [ 96, 98 ], 24 ]. ## or [ [ 96, 130 ], 81 ]. ## or [ [ 96, 170 ], 42 ]. ## or [ [ 96, 210 ], 20 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 218 rises from the difference set ## [ [ 96, 85 ], 39 ]. ## or [ [ 96, 88 ], 11 ]. ## or [ [ 96, 90 ], 22 ]. ## or [ [ 96, 95 ], 91 ]. ## or [ [ 96, 98 ], 10 ]. ## or [ [ 96, 130 ], 79 ]. ## or [ [ 96, 170 ], 43 ]. ## or [ [ 96, 210 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 219 rises from the difference set ## [ [ 96, 85 ], 49 ]. ## or [ [ 96, 88 ], 10 ]. ## or [ [ 96, 90 ], 11 ]. ## or [ [ 96, 95 ], 66 ]. ## or [ [ 96, 98 ], 6 ]. ## or [ [ 96, 130 ], 87 ]. ## or [ [ 96, 170 ], 20 ]. ## or [ [ 96, 210 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 220 rises from the difference set ## [ [ 96, 85 ], 50 ]. ## or [ [ 96, 88 ], 30 ]. ## or [ [ 96, 90 ], 19 ]. ## or [ [ 96, 95 ], 68 ]. ## or [ [ 96, 98 ], 21 ]. ## or [ [ 96, 130 ], 80 ]. ## or [ [ 96, 170 ], 21 ]. ## or [ [ 96, 210 ], 16 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 221 rises from the difference set ## [ [ 96, 85 ], 51 ]. ## or [ [ 96, 88 ], 9 ]. ## or [ [ 96, 90 ], 10 ]. ## or [ [ 96, 95 ], 72 ]. ## or [ [ 96, 98 ], 5 ]. ## or [ [ 96, 130 ], 88 ]. ## or [ [ 96, 170 ], 22 ]. ## or [ [ 96, 210 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 222 rises from the difference set ## [ [ 96, 85 ], 54 ]. ## or [ [ 96, 85 ], 55 ]. ## or [ [ 96, 94 ], 39 ]. ## or [ [ 96, 141 ], 40 ]. ## or [ [ 96, 141 ], 54 ]. ## or [ [ 96, 143 ], 10 ]. ## or [ [ 96, 168 ], 7 ]. ## or [ [ 96, 205 ], 42 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 223 rises from the difference set ## [ [ 96, 85 ], 57 ]. ## or [ [ 96, 88 ], 18 ]. ## or [ [ 96, 90 ], 24 ]. ## or [ [ 96, 95 ], 92 ]. ## or [ [ 96, 98 ], 12 ]. ## or [ [ 96, 130 ], 84 ]. ## or [ [ 96, 170 ], 44 ]. ## or [ [ 96, 210 ], 13 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 224 rises from the difference set ## [ [ 96, 85 ], 67 ]. ## or [ [ 96, 88 ], 17 ]. ## or [ [ 96, 90 ], 12 ]. ## or [ [ 96, 95 ], 96 ]. ## or [ [ 96, 98 ], 9 ]. ## or [ [ 96, 130 ], 83 ]. ## or [ [ 96, 170 ], 24 ]. ## or [ [ 96, 210 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 225 rises from the difference set ## [ [ 96, 85 ], 91 ]. ## or [ [ 96, 85 ], 95 ]. ## or [ [ 96, 94 ], 38 ]. ## or [ [ 96, 141 ], 4 ]. ## or [ [ 96, 141 ], 48 ]. ## or [ [ 96, 143 ], 4 ]. ## or [ [ 96, 168 ], 1 ]. ## or [ [ 96, 205 ], 48 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 226 rises from the difference set ## [ [ 96, 85 ], 92 ]. ## or [ [ 96, 85 ], 96 ]. ## or [ [ 96, 94 ], 74 ]. ## or [ [ 96, 141 ], 6 ]. ## or [ [ 96, 141 ], 45 ]. ## or [ [ 96, 143 ], 8 ]. ## or [ [ 96, 168 ], 2 ]. ## or [ [ 96, 205 ], 39 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 227 rises from the difference set ## [ [ 96, 85 ], 93 ]. ## or [ [ 96, 85 ], 99 ]. ## or [ [ 96, 94 ], 36 ]. ## or [ [ 96, 141 ], 39 ]. ## or [ [ 96, 141 ], 60 ]. ## or [ [ 96, 143 ], 5 ]. ## or [ [ 96, 168 ], 3 ]. ## or [ [ 96, 205 ], 47 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 228 rises from the difference set ## [ [ 96, 85 ], 100 ]. ## or [ [ 96, 85 ], 101 ]. ## or [ [ 96, 94 ], 41 ]. ## or [ [ 96, 141 ], 8 ]. ## or [ [ 96, 141 ], 55 ]. ## or [ [ 96, 143 ], 6 ]. ## or [ [ 96, 168 ], 4 ]. ## or [ [ 96, 205 ], 43 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 229 rises from the difference set ## [ [ 96, 86 ], 41 ]. ## or [ [ 96, 86 ], 45 ]. ## or [ [ 96, 94 ], 42 ]. ## or [ [ 96, 94 ], 54 ]. ## or [ [ 96, 95 ], 34 ]. ## or [ [ 96, 133 ], 9 ]. ## or [ [ 96, 152 ], 6 ]. ## or [ [ 96, 169 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 230 rises from the difference set ## [ [ 96, 86 ], 42 ]. ## or [ [ 96, 86 ], 46 ]. ## or [ [ 96, 94 ], 45 ]. ## or [ [ 96, 94 ], 52 ]. ## or [ [ 96, 95 ], 36 ]. ## or [ [ 96, 133 ], 10 ]. ## or [ [ 96, 152 ], 11 ]. ## or [ [ 96, 169 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 231 rises from the difference set ## [ [ 96, 86 ], 43 ]. ## or [ [ 96, 86 ], 48 ]. ## or [ [ 96, 94 ], 64 ]. ## or [ [ 96, 94 ], 68 ]. ## or [ [ 96, 95 ], 40 ]. ## or [ [ 96, 133 ], 11 ]. ## or [ [ 96, 152 ], 9 ]. ## or [ [ 96, 169 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 232 rises from the difference set ## [ [ 96, 86 ], 44 ]. ## or [ [ 96, 86 ], 47 ]. ## or [ [ 96, 94 ], 50 ]. ## or [ [ 96, 94 ], 82 ]. ## or [ [ 96, 95 ], 35 ]. ## or [ [ 96, 133 ], 15 ]. ## or [ [ 96, 152 ], 5 ]. ## or [ [ 96, 169 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 233 rises from the difference set ## [ [ 96, 87 ], 1 ]. ## or [ [ 96, 87 ], 2 ]. ## or [ [ 96, 87 ], 3 ]. ## or [ [ 96, 144 ], 1 ]. ## or [ [ 96, 144 ], 3 ]. ## or [ [ 96, 144 ], 4 ]. ## or [ [ 96, 167 ], 37 ]. ## or [ [ 96, 227 ], 8 ]. ## or [ [ 96, 229 ], 1 ]. ## or [ [ 96, 230 ], 1 ]. ## or [ [ 96, 230 ], 2 ]. ## or [ [ 96, 230 ], 3 ]. ## or [ [ 96, 230 ], 4 ]. ## or [ [ 96, 230 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 234 rises from the difference set ## [ [ 96, 87 ], 7 ]. ## or [ [ 96, 90 ], 4 ]. ## or [ [ 96, 90 ], 6 ]. ## or [ [ 96, 98 ], 15 ]. ## or [ [ 96, 98 ], 16 ]. ## or [ [ 96, 142 ], 15 ]. ## or [ [ 96, 170 ], 14 ]. ## or [ [ 96, 206 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 235 rises from the difference set ## [ [ 96, 87 ], 8 ]. ## or [ [ 96, 90 ], 5 ]. ## or [ [ 96, 90 ], 7 ]. ## or [ [ 96, 98 ], 14 ]. ## or [ [ 96, 98 ], 18 ]. ## or [ [ 96, 142 ], 16 ]. ## or [ [ 96, 170 ], 13 ]. ## or [ [ 96, 206 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 236 rises from the difference set ## [ [ 96, 87 ], 9 ]. ## or [ [ 96, 90 ], 17 ]. ## or [ [ 96, 90 ], 18 ]. ## or [ [ 96, 98 ], 13 ]. ## or [ [ 96, 98 ], 17 ]. ## or [ [ 96, 142 ], 1 ]. ## or [ [ 96, 170 ], 15 ]. ## or [ [ 96, 206 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 237 rises from the difference set ## [ [ 96, 87 ], 15 ]. ## or [ [ 96, 90 ], 8 ]. ## or [ [ 96, 90 ], 9 ]. ## or [ [ 96, 98 ], 22 ]. ## or [ [ 96, 98 ], 23 ]. ## or [ [ 96, 142 ], 2 ]. ## or [ [ 96, 170 ], 16 ]. ## or [ [ 96, 206 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 238 rises from the difference set ## [ [ 96, 88 ], 2 ]. ## or [ [ 96, 92 ], 38 ]. ## or [ [ 96, 95 ], 49 ]. ## or [ [ 96, 129 ], 23 ]. ## or [ [ 96, 141 ], 26 ]. ## or [ [ 96, 146 ], 1 ]. ## or [ [ 96, 168 ], 16 ]. ## or [ [ 96, 210 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 239 rises from the difference set ## [ [ 96, 88 ], 4 ]. ## or [ [ 96, 92 ], 37 ]. ## or [ [ 96, 95 ], 51 ]. ## or [ [ 96, 129 ], 22 ]. ## or [ [ 96, 141 ], 29 ]. ## or [ [ 96, 146 ], 2 ]. ## or [ [ 96, 168 ], 18 ]. ## or [ [ 96, 210 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 240 rises from the difference set ## [ [ 96, 88 ], 15 ]. ## or [ [ 96, 92 ], 40 ]. ## or [ [ 96, 95 ], 59 ]. ## or [ [ 96, 129 ], 25 ]. ## or [ [ 96, 141 ], 43 ]. ## or [ [ 96, 146 ], 5 ]. ## or [ [ 96, 168 ], 22 ]. ## or [ [ 96, 210 ], 15 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 241 rises from the difference set ## [ [ 96, 88 ], 28 ]. ## or [ [ 96, 92 ], 39 ]. ## or [ [ 96, 95 ], 50 ]. ## or [ [ 96, 129 ], 21 ]. ## or [ [ 96, 141 ], 25 ]. ## or [ [ 96, 146 ], 22 ]. ## or [ [ 96, 168 ], 17 ]. ## or [ [ 96, 210 ], 18 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 242 rises from the difference set ## [ [ 96, 88 ], 37 ]. ## or [ [ 96, 92 ], 4 ]. ## or [ [ 96, 95 ], 56 ]. ## or [ [ 96, 129 ], 34 ]. ## or [ [ 96, 141 ], 24 ]. ## or [ [ 96, 146 ], 29 ]. ## or [ [ 96, 168 ], 11 ]. ## or [ [ 96, 210 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 243 rises from the difference set ## [ [ 96, 88 ], 41 ]. ## or [ [ 96, 92 ], 1 ]. ## or [ [ 96, 95 ], 87 ]. ## or [ [ 96, 129 ], 24 ]. ## or [ [ 96, 141 ], 23 ]. ## or [ [ 96, 146 ], 30 ]. ## or [ [ 96, 168 ], 9 ]. ## or [ [ 96, 210 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 244 rises from the difference set ## [ [ 96, 88 ], 43 ]. ## or [ [ 96, 92 ], 29 ]. ## or [ [ 96, 95 ], 52 ]. ## or [ [ 96, 129 ], 33 ]. ## or [ [ 96, 141 ], 22 ]. ## or [ [ 96, 146 ], 31 ]. ## or [ [ 96, 168 ], 10 ]. ## or [ [ 96, 210 ], 17 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 245 rises from the difference set ## [ [ 96, 88 ], 46 ]. ## or [ [ 96, 92 ], 7 ]. ## or [ [ 96, 95 ], 60 ]. ## or [ [ 96, 129 ], 26 ]. ## or [ [ 96, 141 ], 41 ]. ## or [ [ 96, 146 ], 32 ]. ## or [ [ 96, 168 ], 19 ]. ## or [ [ 96, 210 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 246 rises from the difference set ## [ [ 96, 90 ], 1 ]. ## or [ [ 96, 90 ], 13 ]. ## or [ [ 96, 95 ], 64 ]. ## or [ [ 96, 95 ], 69 ]. ## or [ [ 96, 99 ], 6 ]. ## or [ [ 96, 131 ], 31 ]. ## or [ [ 96, 169 ], 4 ]. ## or [ [ 96, 212 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 247 rises from the difference set ## [ [ 96, 90 ], 2 ]. ## or [ [ 96, 90 ], 14 ]. ## or [ [ 96, 95 ], 63 ]. ## or [ [ 96, 95 ], 74 ]. ## or [ [ 96, 99 ], 5 ]. ## or [ [ 96, 131 ], 29 ]. ## or [ [ 96, 169 ], 6 ]. ## or [ [ 96, 212 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 248 rises from the difference set ## [ [ 96, 90 ], 3 ]. ## or [ [ 96, 90 ], 15 ]. ## or [ [ 96, 95 ], 75 ]. ## or [ [ 96, 95 ], 77 ]. ## or [ [ 96, 99 ], 8 ]. ## or [ [ 96, 131 ], 36 ]. ## or [ [ 96, 169 ], 8 ]. ## or [ [ 96, 212 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 249 rises from the difference set ## [ [ 96, 90 ], 16 ]. ## or [ [ 96, 90 ], 20 ]. ## or [ [ 96, 95 ], 65 ]. ## or [ [ 96, 95 ], 95 ]. ## or [ [ 96, 99 ], 7 ]. ## or [ [ 96, 131 ], 30 ]. ## or [ [ 96, 169 ], 5 ]. ## or [ [ 96, 212 ], 14 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 250 rises from the difference set ## [ [ 96, 92 ], 16 ]. ## or [ [ 96, 92 ], 19 ]. ## or [ [ 96, 92 ], 22 ]. ## or [ [ 96, 92 ], 25 ]. ## or [ [ 96, 129 ], 6 ]. ## or [ [ 96, 159 ], 17 ]. ## or [ [ 96, 162 ], 26 ]. ## or [ [ 96, 205 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 251 rises from the difference set ## [ [ 96, 92 ], 17 ]. ## or [ [ 96, 92 ], 20 ]. ## or [ [ 96, 92 ], 23 ]. ## or [ [ 96, 92 ], 26 ]. ## or [ [ 96, 129 ], 5 ]. ## or [ [ 96, 159 ], 10 ]. ## or [ [ 96, 162 ], 25 ]. ## or [ [ 96, 205 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 252 rises from the difference set ## [ [ 96, 92 ], 18 ]. ## or [ [ 96, 92 ], 21 ]. ## or [ [ 96, 92 ], 24 ]. ## or [ [ 96, 92 ], 27 ]. ## or [ [ 96, 129 ], 1 ]. ## or [ [ 96, 159 ], 20 ]. ## or [ [ 96, 162 ], 27 ]. ## or [ [ 96, 205 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 253 rises from the difference set ## [ [ 96, 92 ], 31 ]. ## or [ [ 96, 92 ], 32 ]. ## or [ [ 96, 92 ], 33 ]. ## or [ [ 96, 92 ], 36 ]. ## or [ [ 96, 129 ], 2 ]. ## or [ [ 96, 159 ], 13 ]. ## or [ [ 96, 162 ], 28 ]. ## or [ [ 96, 205 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 254 rises from the (96,20,4) difference set ## [ [ 96, 129 ], 8 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 255 rises from the (96,20,4) difference set ## [ [ 96, 129 ], 9 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 256 rises from the (96,20,4) difference set ## [ [ 96, 129 ], 10 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 257 rises from the (96,20,4) difference set ## [ [ 96, 129 ], 11 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 258 rises from the (96,20,4) difference set ## [ [ 96, 129 ], 13 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 259 rises from the (96,20,4) difference set ## [ [ 96, 129 ], 14 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 260 rises from the (96,20,4) difference set ## [ [ 96, 129 ], 15 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 261 rises from the (96,20,4) difference set ## [ [ 96, 129 ], 16 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 262 rises from the difference set ## [ [ 96, 130 ], 1 ]. ## or [ [ 96, 130 ], 76 ]. ## or [ [ 96, 131 ], 23 ]. ## or [ [ 96, 141 ], 46 ]. ## or [ [ 96, 142 ], 18 ]. ## or [ [ 96, 142 ], 26 ]. ## or [ [ 96, 151 ], 12 ]. ## or [ [ 96, 223 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 263 rises from the difference set ## [ [ 96, 130 ], 2 ]. ## or [ [ 96, 130 ], 48 ]. ## or [ [ 96, 131 ], 39 ]. ## or [ [ 96, 141 ], 2 ]. ## or [ [ 96, 142 ], 11 ]. ## or [ [ 96, 142 ], 64 ]. ## or [ [ 96, 151 ], 32 ]. ## or [ [ 96, 223 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 264 rises from the difference set ## [ [ 96, 130 ], 3 ]. ## or [ [ 96, 130 ], 78 ]. ## or [ [ 96, 131 ], 34 ]. ## or [ [ 96, 141 ], 56 ]. ## or [ [ 96, 142 ], 20 ]. ## or [ [ 96, 142 ], 49 ]. ## or [ [ 96, 151 ], 13 ]. ## or [ [ 96, 223 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 265 rises from the difference set ## [ [ 96, 130 ], 4 ]. ## or [ [ 96, 130 ], 50 ]. ## or [ [ 96, 131 ], 32 ]. ## or [ [ 96, 141 ], 3 ]. ## or [ [ 96, 142 ], 14 ]. ## or [ [ 96, 142 ], 56 ]. ## or [ [ 96, 151 ], 33 ]. ## or [ [ 96, 223 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 266 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 9 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 267 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 10 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 268 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 11 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 269 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 12 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 270 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 13 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 271 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 14 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 272 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 15 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 273 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 16 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 274 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 17 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 275 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 18 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 276 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 19 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 277 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 20 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 278 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 21 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 279 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 22 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 280 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 23 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 281 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 24 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 282 rises from the difference set ## [ [ 96, 130 ], 26 ]. ## or [ [ 96, 130 ], 70 ]. ## or [ [ 96, 131 ], 27 ]. ## or [ [ 96, 141 ], 1 ]. ## or [ [ 96, 142 ], 7 ]. ## or [ [ 96, 142 ], 47 ]. ## or [ [ 96, 151 ], 31 ]. ## or [ [ 96, 223 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 283 rises from the difference set ## [ [ 96, 130 ], 27 ]. ## or [ [ 96, 130 ], 69 ]. ## or [ [ 96, 131 ], 19 ]. ## or [ [ 96, 141 ], 34 ]. ## or [ [ 96, 142 ], 8 ]. ## or [ [ 96, 142 ], 42 ]. ## or [ [ 96, 151 ], 36 ]. ## or [ [ 96, 223 ], 2 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 284 rises from the difference set ## [ [ 96, 130 ], 28 ]. ## or [ [ 96, 130 ], 86 ]. ## or [ [ 96, 131 ], 22 ]. ## or [ [ 96, 141 ], 59 ]. ## or [ [ 96, 142 ], 10 ]. ## or [ [ 96, 142 ], 23 ]. ## or [ [ 96, 151 ], 23 ]. ## or [ [ 96, 223 ], 8 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 285 rises from the difference set ## [ [ 96, 130 ], 30 ]. ## or [ [ 96, 130 ], 85 ]. ## or [ [ 96, 131 ], 21 ]. ## or [ [ 96, 141 ], 47 ]. ## or [ [ 96, 142 ], 9 ]. ## or [ [ 96, 142 ], 21 ]. ## or [ [ 96, 151 ], 8 ]. ## or [ [ 96, 223 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 286 rises from the difference set ## [ [ 96, 130 ], 33 ]. ## or [ [ 96, 146 ], 10 ]. ## or [ [ 96, 146 ], 13 ]. ## or [ [ 96, 146 ], 16 ]. ## or [ [ 96, 146 ], 19 ]. ## or [ [ 96, 159 ], 16 ]. ## or [ [ 96, 218 ], 14 ]. ## or [ [ 96, 221 ], 9 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 287 rises from the difference set ## [ [ 96, 130 ], 35 ]. ## or [ [ 96, 146 ], 12 ]. ## or [ [ 96, 146 ], 15 ]. ## or [ [ 96, 146 ], 18 ]. ## or [ [ 96, 146 ], 21 ]. ## or [ [ 96, 159 ], 15 ]. ## or [ [ 96, 218 ], 9 ]. ## or [ [ 96, 221 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 288 rises from the difference set ## [ [ 96, 130 ], 37 ]. ## or [ [ 96, 146 ], 24 ]. ## or [ [ 96, 146 ], 25 ]. ## or [ [ 96, 146 ], 26 ]. ## or [ [ 96, 146 ], 28 ]. ## or [ [ 96, 159 ], 12 ]. ## or [ [ 96, 218 ], 10 ]. ## or [ [ 96, 221 ], 12 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 289 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 39 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 290 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 40 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 291 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 41 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 292 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 42 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 293 rises from the difference set ## [ [ 96, 130 ], 43 ]. ## or [ [ 96, 130 ], 74 ]. ## or [ [ 96, 131 ], 40 ]. ## or [ [ 96, 141 ], 52 ]. ## or [ [ 96, 142 ], 12 ]. ## or [ [ 96, 142 ], 60 ]. ## or [ [ 96, 151 ], 18 ]. ## or [ [ 96, 223 ], 7 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 294 rises from the difference set ## [ [ 96, 130 ], 44 ]. ## or [ [ 96, 130 ], 73 ]. ## or [ [ 96, 131 ], 20 ]. ## or [ [ 96, 141 ], 53 ]. ## or [ [ 96, 142 ], 6 ]. ## or [ [ 96, 142 ], 31 ]. ## or [ [ 96, 151 ], 24 ]. ## or [ [ 96, 223 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 295 rises from the difference set ## [ [ 96, 130 ], 45 ]. ## or [ [ 96, 130 ], 75 ]. ## or [ [ 96, 131 ], 28 ]. ## or [ [ 96, 141 ], 49 ]. ## or [ [ 96, 142 ], 5 ]. ## or [ [ 96, 142 ], 32 ]. ## or [ [ 96, 151 ], 15 ]. ## or [ [ 96, 223 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 296 rises from the difference set ## [ [ 96, 130 ], 49 ]. ## or [ [ 96, 130 ], 77 ]. ## or [ [ 96, 131 ], 33 ]. ## or [ [ 96, 141 ], 58 ]. ## or [ [ 96, 142 ], 13 ]. ## or [ [ 96, 142 ], 51 ]. ## or [ [ 96, 151 ], 19 ]. ## or [ [ 96, 223 ], 11 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 297 rises from the difference set ## [ [ 96, 130 ], 51 ]. ## or [ [ 96, 146 ], 11 ]. ## or [ [ 96, 146 ], 14 ]. ## or [ [ 96, 146 ], 17 ]. ## or [ [ 96, 146 ], 20 ]. ## or [ [ 96, 159 ], 9 ]. ## or [ [ 96, 218 ], 13 ]. ## or [ [ 96, 221 ], 10 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 298 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 56 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 299 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 57 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 300 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 58 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 301 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 59 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 302 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 60 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 303 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 61 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 304 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 62 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 305 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 63 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 306 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 65 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 307 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 66 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 308 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 67 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 309 rises from the (96,20,4) difference set ## [ [ 96, 130 ], 68 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 310 rises from the difference set ## [ [ 96, 131 ], 1 ]. ## or [ [ 96, 131 ], 12 ]. ## or [ [ 96, 133 ], 12 ]. ## or [ [ 96, 135 ], 1 ]. ## or [ [ 96, 135 ], 6 ]. ## or [ [ 96, 136 ], 6 ]. ## or [ [ 96, 160 ], 5 ]. ## or [ [ 96, 220 ], 1 ]. ## Symmetric (96,20,4) design number 311 rises from the difference set ## [ [ 96, 131 ], 2 ]. ## or [ [ 96, 131 ], 11 ]. ## or [ [ 96, 133 ], 16 ]. ## or [ [ 96, 135 ], 2 ]. ## or [ [ 96, 135 ], 4 ]. ## or [ [ 96, 136 ], 5 ]. ## or [ [ 96, 160 ], 4 ]. ## or [ [ 96, 220 ], 3 ]. ## Symmetric (96,20,4) design number 312 rises from the difference set ## [ [ 96, 131 ], 5 ]. ## or [ [ 96, 131 ], 13 ]. ## or [ [ 96, 133 ], 13 ]. ## or [ [ 96, 135 ], 10 ]. ## or [ [ 96, 135 ], 11 ]. ## or [ [ 96, 136 ], 7 ]. ## or [ [ 96, 160 ], 29 ]. ## or [ [ 96, 220 ], 2 ]. ## Symmetric (96,20,4) design number 313 rises from the difference set ## [ [ 96, 131 ], 14 ]. ## or [ [ 96, 131 ], 18 ]. ## or [ [ 96, 133 ], 14 ]. ## or [ [ 96, 135 ], 7 ]. ## or [ [ 96, 135 ], 8 ]. ## or [ [ 96, 136 ], 8 ]. ## or [ [ 96, 160 ], 6 ]. ## or [ [ 96, 220 ], 4 ]. ## Symmetric (96,20,4) design number 314 rises from the (96,20,4) difference set ## [ [ 96, 159 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 315 rises from the (96,20,4) difference set ## [ [ 96, 159 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 316 rises from the (96,20,4) difference set ## [ [ 96, 159 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 317 rises from the (96,20,4) difference set ## [ [ 96, 159 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 318 rises from the (96,20,4) difference set ## [ [ 96, 159 ], 5 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 319 rises from the (96,20,4) difference set ## [ [ 96, 159 ], 6 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 320 rises from the (96,20,4) difference set ## [ [ 96, 159 ], 7 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 321 rises from the (96,20,4) difference set ## [ [ 96, 159 ], 8 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 322 rises from the difference set ## [ [ 96, 159 ], 11 ]. ## or [ [ 96, 159 ], 18 ]. ## or [ [ 96, 159 ], 19 ]. ## or [ [ 96, 160 ], 7 ]. ## or [ [ 96, 160 ], 8 ]. ## or [ [ 96, 160 ], 9 ]. ## or [ [ 96, 160 ], 10 ]. ## or [ [ 96, 231 ], 1 ]. ## or [ [ 96, 231 ], 2 ]. ## or [ [ 96, 231 ], 3 ]. ## or [ [ 96, 231 ], 4 ]. ## or [ [ 96, 231 ], 5 ]. ## or [ [ 96, 231 ], 6 ]. ## or [ [ 96, 231 ], 7 ]. ## or [ [ 96, 231 ], 8 ]. ## or [ [ 96, 231 ], 9 ]. ## or [ [ 96, 231 ], 10 ]. ## or [ [ 96, 231 ], 12 ]. ## or [ [ 96, 231 ], 13 ]. ## or [ [ 96, 231 ], 14 ]. ## or [ [ 96, 231 ], 15 ]. ## Symmetric (96,20,4) design number 323 rises from the difference set ## [ [ 96, 159 ], 14 ]. ## or [ [ 96, 160 ], 28 ]. ## or [ [ 96, 160 ], 30 ]. ## or [ [ 96, 229 ], 8 ]. ## or [ [ 96, 231 ], 11 ]. ## or [ [ 96, 231 ], 16 ]. ## Symmetric (96,20,4) design number 324 rises from the (96,20,4) difference set ## [ [ 96, 160 ], 15 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 325 rises from the (96,20,4) difference set ## [ [ 96, 160 ], 16 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 326 rises from the (96,20,4) difference set ## [ [ 96, 160 ], 24 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 327 rises from the (96,20,4) difference set ## [ [ 96, 160 ], 25 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 328 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 329 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 330 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 331 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 332 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 5 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 333 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 6 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 334 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 7 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 335 rises from the difference set ## [ [ 96, 162 ], 8 ]. ## or [ [ 96, 194 ], 68 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 336 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 9 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 337 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 10 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 338 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 11 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 339 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 12 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 340 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 13 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 341 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 14 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 342 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 15 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 343 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 16 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 344 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 17 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 345 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 18 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 346 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 19 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 347 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 20 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 348 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 21 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 349 rises from the difference set ## [ [ 96, 162 ], 22 ]. ## or [ [ 96, 194 ], 66 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 350 rises from the difference set ## [ [ 96, 162 ], 23 ]. ## or [ [ 96, 194 ], 64 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 351 rises from the (96,20,4) difference set ## [ [ 96, 162 ], 24 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 352 rises from the difference set ## [ [ 96, 167 ], 1 ]. ## or [ [ 96, 227 ], 27 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 353 rises from the difference set ## [ [ 96, 167 ], 2 ]. ## or [ [ 96, 195 ], 41 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 354 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 9 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 355 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 10 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 356 rises from the difference set ## [ [ 96, 167 ], 14 ]. ## or [ [ 96, 196 ], 59 ]. ## or [ [ 96, 196 ], 61 ]. ## or [ [ 96, 196 ], 70 ]. ## or [ [ 96, 197 ], 16 ]. ## or [ [ 96, 197 ], 20 ]. ## or [ [ 96, 197 ], 21 ]. ## or [ [ 96, 226 ], 25 ]. ## or [ [ 96, 226 ], 26 ]. ## or [ [ 96, 226 ], 27 ]. ## or [ [ 96, 227 ], 3 ]. ## or [ [ 96, 227 ], 4 ]. ## or [ [ 96, 228 ], 26 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 357 rises from the difference set ## [ [ 96, 167 ], 15 ]. ## or [ [ 96, 196 ], 62 ]. ## or [ [ 96, 196 ], 65 ]. ## or [ [ 96, 196 ], 73 ]. ## or [ [ 96, 197 ], 17 ]. ## or [ [ 96, 197 ], 18 ]. ## or [ [ 96, 197 ], 22 ]. ## or [ [ 96, 228 ], 23 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 358 rises from the difference set ## [ [ 96, 167 ], 16 ]. ## or [ [ 96, 196 ], 60 ]. ## or [ [ 96, 196 ], 66 ]. ## or [ [ 96, 196 ], 72 ]. ## or [ [ 96, 197 ], 15 ]. ## or [ [ 96, 197 ], 19 ]. ## or [ [ 96, 197 ], 23 ]. ## or [ [ 96, 228 ], 25 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 359 rises from the difference set ## [ [ 96, 167 ], 18 ]. ## or [ [ 96, 196 ], 68 ]. ## or [ [ 96, 196 ], 69 ]. ## or [ [ 96, 196 ], 81 ]. ## or [ [ 96, 197 ], 24 ]. ## or [ [ 96, 197 ], 25 ]. ## or [ [ 96, 197 ], 26 ]. ## or [ [ 96, 228 ], 27 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 360 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 19 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 361 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 20 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 362 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 21 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 363 rises from the difference set ## [ [ 96, 167 ], 22 ]. ## or [ [ 96, 227 ], 26 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 364 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 23 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 365 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 24 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 366 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 25 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 367 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 26 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 368 rises from the difference set ## [ [ 96, 167 ], 32 ]. ## or [ [ 96, 227 ], 28 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 369 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 33 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 370 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 34 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 371 rises from the difference set ## [ [ 96, 167 ], 36 ]. ## or [ [ 96, 195 ], 72 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 372 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 46 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 373 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 47 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 374 rises from the (96,20,4) difference set ## [ [ 96, 167 ], 48 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 375 rises from the difference set ## [ [ 96, 167 ], 50 ]. ## or [ [ 96, 195 ], 71 ]. ## or [ [ 96, 195 ], 75 ]. ## or [ [ 96, 227 ], 31 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 376 rises from the difference set ## [ [ 96, 167 ], 51 ]. ## or [ [ 96, 196 ], 55 ]. ## or [ [ 96, 196 ], 57 ]. ## or [ [ 96, 196 ], 58 ]. ## or [ [ 96, 197 ], 31 ]. ## or [ [ 96, 197 ], 32 ]. ## or [ [ 96, 197 ], 33 ]. ## or [ [ 96, 228 ], 29 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 377 rises from the (96,20,4) difference set ## [ [ 96, 168 ], 12 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 378 rises from the (96,20,4) difference set ## [ [ 96, 168 ], 13 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 379 rises from the (96,20,4) difference set ## [ [ 96, 168 ], 14 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 380 rises from the (96,20,4) difference set ## [ [ 96, 168 ], 15 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 381 rises from the (96,20,4) difference set ## [ [ 96, 168 ], 20 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 382 rises from the (96,20,4) difference set ## [ [ 96, 168 ], 21 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 383 rises from the (96,20,4) difference set ## [ [ 96, 168 ], 23 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 384 rises from the (96,20,4) difference set ## [ [ 96, 168 ], 24 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 385 rises from the (96,20,4) difference set ## [ [ 96, 171 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 386 rises from the (96,20,4) difference set ## [ [ 96, 171 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 387 rises from the (96,20,4) difference set ## [ [ 96, 171 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 388 rises from the (96,20,4) difference set ## [ [ 96, 171 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 389 rises from the (96,20,4) difference set ## [ [ 96, 174 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 390 rises from the (96,20,4) difference set ## [ [ 96, 174 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 391 rises from the (96,20,4) difference set ## [ [ 96, 174 ], 5 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 392 rises from the (96,20,4) difference set ## [ [ 96, 174 ], 6 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 393 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 394 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 395 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 396 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 397 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 5 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 398 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 6 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 399 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 7 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 400 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 8 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 401 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 9 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 402 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 10 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 403 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 11 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 404 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 12 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 405 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 13 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 406 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 14 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 407 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 15 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 408 rises from the (96,20,4) difference set ## [ [ 96, 177 ], 16 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 409 rises from the difference set ## [ [ 96, 185 ], 2 ]. ## or [ [ 96, 185 ], 3 ]. ## or [ [ 96, 186 ], 1 ]. ## or [ [ 96, 186 ], 4 ]. ## or [ [ 96, 188 ], 8 ]. ## or [ [ 96, 188 ], 46 ]. ## or [ [ 96, 190 ], 12 ]. ## or [ [ 96, 190 ], 33 ]. ## or [ [ 96, 194 ], 23 ]. ## or [ [ 96, 194 ], 34 ]. ## or [ [ 96, 194 ], 35 ]. ## or [ [ 96, 195 ], 19 ]. ## or [ [ 96, 195 ], 21 ]. ## or [ [ 96, 195 ], 34 ]. ## or [ [ 96, 195 ], 35 ]. ## or [ [ 96, 196 ], 9 ]. ## or [ [ 96, 197 ], 45 ]. ## or [ [ 96, 197 ], 47 ]. ## or [ [ 96, 226 ], 18 ]. ## or [ [ 96, 228 ], 18 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 410 rises from the difference set ## [ [ 96, 185 ], 4 ]. ## or [ [ 96, 185 ], 6 ]. ## or [ [ 96, 186 ], 3 ]. ## or [ [ 96, 186 ], 5 ]. ## or [ [ 96, 188 ], 23 ]. ## or [ [ 96, 188 ], 48 ]. ## or [ [ 96, 190 ], 7 ]. ## or [ [ 96, 190 ], 39 ]. ## or [ [ 96, 194 ], 24 ]. ## or [ [ 96, 194 ], 37 ]. ## or [ [ 96, 194 ], 39 ]. ## or [ [ 96, 195 ], 22 ]. ## or [ [ 96, 195 ], 23 ]. ## or [ [ 96, 195 ], 38 ]. ## or [ [ 96, 195 ], 39 ]. ## or [ [ 96, 196 ], 26 ]. ## or [ [ 96, 197 ], 48 ]. ## or [ [ 96, 197 ], 51 ]. ## or [ [ 96, 226 ], 22 ]. ## or [ [ 96, 228 ], 21 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 411 rises from the (96,20,4) difference set ## [ [ 96, 185 ], 8 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 412 rises from the (96,20,4) difference set ## [ [ 96, 185 ], 9 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 413 rises from the (96,20,4) difference set ## [ [ 96, 185 ], 10 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 414 rises from the difference set ## [ [ 96, 185 ], 12 ]. ## or [ [ 96, 185 ], 13 ]. ## or [ [ 96, 186 ], 9 ]. ## or [ [ 96, 186 ], 10 ]. ## or [ [ 96, 188 ], 11 ]. ## or [ [ 96, 188 ], 33 ]. ## or [ [ 96, 190 ], 9 ]. ## or [ [ 96, 190 ], 25 ]. ## or [ [ 96, 194 ], 11 ]. ## or [ [ 96, 194 ], 13 ]. ## or [ [ 96, 194 ], 46 ]. ## or [ [ 96, 195 ], 4 ]. ## or [ [ 96, 195 ], 6 ]. ## or [ [ 96, 195 ], 8 ]. ## or [ [ 96, 195 ], 9 ]. ## or [ [ 96, 196 ], 42 ]. ## or [ [ 96, 197 ], 1 ]. ## or [ [ 96, 197 ], 2 ]. ## or [ [ 96, 226 ], 17 ]. ## or [ [ 96, 228 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 415 rises from the difference set ## [ [ 96, 185 ], 16 ]. ## or [ [ 96, 185 ], 17 ]. ## or [ [ 96, 186 ], 13 ]. ## or [ [ 96, 186 ], 14 ]. ## or [ [ 96, 188 ], 20 ]. ## or [ [ 96, 188 ], 36 ]. ## or [ [ 96, 190 ], 23 ]. ## or [ [ 96, 190 ], 38 ]. ## or [ [ 96, 194 ], 14 ]. ## or [ [ 96, 194 ], 21 ]. ## or [ [ 96, 194 ], 48 ]. ## or [ [ 96, 195 ], 5 ]. ## or [ [ 96, 195 ], 7 ]. ## or [ [ 96, 195 ], 16 ]. ## or [ [ 96, 195 ], 17 ]. ## or [ [ 96, 196 ], 53 ]. ## or [ [ 96, 197 ], 4 ]. ## or [ [ 96, 197 ], 5 ]. ## or [ [ 96, 226 ], 21 ]. ## or [ [ 96, 228 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 416 rises from the (96,20,4) difference set ## [ [ 96, 185 ], 19 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 417 rises from the difference set ## [ [ 96, 188 ], 1 ]. ## or [ [ 96, 188 ], 40 ]. ## or [ [ 96, 190 ], 16 ]. ## or [ [ 96, 190 ], 27 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 418 rises from the difference set ## [ [ 96, 188 ], 2 ]. ## or [ [ 96, 188 ], 42 ]. ## or [ [ 96, 190 ], 14 ]. ## or [ [ 96, 190 ], 34 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 419 rises from the (96,20,4) difference set ## [ [ 96, 188 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 420 rises from the difference set ## [ [ 96, 188 ], 6 ]. ## or [ [ 96, 188 ], 7 ]. ## or [ [ 96, 188 ], 32 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 421 rises from the (96,20,4) difference set ## [ [ 96, 188 ], 12 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 422 rises from the difference set ## [ [ 96, 188 ], 13 ]. ## or [ [ 96, 188 ], 39 ]. ## or [ [ 96, 190 ], 3 ]. ## or [ [ 96, 190 ], 29 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 423 rises from the difference set ## [ [ 96, 188 ], 14 ]. ## or [ [ 96, 188 ], 44 ]. ## or [ [ 96, 190 ], 15 ]. ## or [ [ 96, 190 ], 36 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 424 rises from the difference set ## [ [ 96, 188 ], 15 ]. ## or [ [ 96, 188 ], 49 ]. ## or [ [ 96, 190 ], 2 ]. ## or [ [ 96, 190 ], 30 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 425 rises from the difference set ## [ [ 96, 188 ], 16 ]. ## or [ [ 96, 188 ], 50 ]. ## or [ [ 96, 190 ], 1 ]. ## or [ [ 96, 190 ], 31 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 426 rises from the (96,20,4) difference set ## [ [ 96, 188 ], 17 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 427 rises from the difference set ## [ [ 96, 188 ], 18 ]. ## or [ [ 96, 188 ], 43 ]. ## or [ [ 96, 190 ], 4 ]. ## or [ [ 96, 190 ], 28 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 428 rises from the difference set ## [ [ 96, 188 ], 19 ]. ## or [ [ 96, 188 ], 41 ]. ## or [ [ 96, 190 ], 13 ]. ## or [ [ 96, 190 ], 35 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 429 rises from the (96,20,4) difference set ## [ [ 96, 188 ], 21 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 430 rises from the (96,20,4) difference set ## [ [ 96, 188 ], 24 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 431 rises from the (96,20,4) difference set ## [ [ 96, 188 ], 25 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 432 rises from the (96,20,4) difference set ## [ [ 96, 188 ], 26 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 433 rises from the (96,20,4) difference set ## [ [ 96, 188 ], 28 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 434 rises from the (96,20,4) difference set ## [ [ 96, 188 ], 30 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 435 rises from the (96,20,4) difference set ## [ [ 96, 188 ], 31 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 436 rises from the difference set ## [ [ 96, 188 ], 37 ]. ## or [ [ 96, 188 ], 45 ]. ## or [ [ 96, 194 ], 53 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 437 rises from the difference set ## [ [ 96, 188 ], 47 ]. ## or [ [ 96, 188 ], 51 ]. ## or [ [ 96, 194 ], 44 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 438 rises from the (96,20,4) difference set ## [ [ 96, 190 ], 8 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 439 rises from the (96,20,4) difference set ## [ [ 96, 190 ], 17 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 440 rises from the (96,20,4) difference set ## [ [ 96, 190 ], 18 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 441 rises from the (96,20,4) difference set ## [ [ 96, 190 ], 19 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 442 rises from the (96,20,4) difference set ## [ [ 96, 190 ], 20 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 443 rises from the (96,20,4) difference set ## [ [ 96, 190 ], 21 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 444 rises from the (96,20,4) difference set ## [ [ 96, 191 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 445 rises from the (96,20,4) difference set ## [ [ 96, 191 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 446 rises from the (96,20,4) difference set ## [ [ 96, 191 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 447 rises from the (96,20,4) difference set ## [ [ 96, 191 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 448 rises from the (96,20,4) difference set ## [ [ 96, 191 ], 5 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 449 rises from the (96,20,4) difference set ## [ [ 96, 191 ], 6 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 450 rises from the (96,20,4) difference set ## [ [ 96, 191 ], 7 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 451 rises from the (96,20,4) difference set ## [ [ 96, 191 ], 8 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 452 rises from the difference set ## [ [ 96, 194 ], 25 ]. ## or [ [ 96, 195 ], 13 ]. ## or [ [ 96, 195 ], 14 ]. ## or [ [ 96, 226 ], 19 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 453 rises from the difference set ## [ [ 96, 194 ], 26 ]. ## or [ [ 96, 195 ], 11 ]. ## or [ [ 96, 195 ], 15 ]. ## or [ [ 96, 226 ], 20 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 454 rises from the (96,20,4) difference set ## [ [ 96, 194 ], 41 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 455 rises from the (96,20,4) difference set ## [ [ 96, 194 ], 42 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 456 rises from the difference set ## [ [ 96, 194 ], 55 ]. ## or [ [ 96, 194 ], 56 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 457 rises from the difference set ## [ [ 96, 194 ], 57 ]. ## or [ [ 96, 196 ], 30 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 458 rises from the difference set ## [ [ 96, 194 ], 58 ]. ## or [ [ 96, 196 ], 29 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 459 rises from the difference set ## [ [ 96, 194 ], 59 ]. ## or [ [ 96, 196 ], 24 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 460 rises from the difference set ## [ [ 96, 194 ], 60 ]. ## or [ [ 96, 196 ], 17 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 461 rises from the difference set ## [ [ 96, 194 ], 61 ]. ## or [ [ 96, 194 ], 62 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 462 rises from the (96,20,4) difference set ## [ [ 96, 194 ], 63 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 463 rises from the (96,20,4) difference set ## [ [ 96, 194 ], 65 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 464 rises from the (96,20,4) difference set ## [ [ 96, 194 ], 67 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 465 rises from the difference set ## [ [ 96, 194 ], 69 ]. ## or [ [ 96, 194 ], 70 ]. ## or [ [ 96, 194 ], 71 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 466 rises from the difference set ## [ [ 96, 194 ], 72 ]. ## or [ [ 96, 196 ], 71 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 467 rises from the (96,20,4) difference set ## [ [ 96, 195 ], 43 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 468 rises from the difference set ## [ [ 96, 195 ], 44 ]. ## or [ [ 96, 195 ], 46 ]. ## or [ [ 96, 227 ], 14 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 469 rises from the difference set ## [ [ 96, 195 ], 60 ]. ## or [ [ 96, 195 ], 62 ]. ## or [ [ 96, 195 ], 65 ]. ## or [ [ 96, 195 ], 80 ]. ## or [ [ 96, 227 ], 16 ]. ## or [ [ 96, 227 ], 25 ]. ## or [ [ 96, 227 ], 33 ]. ## or [ [ 96, 227 ], 37 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 470 rises from the difference set ## [ [ 96, 195 ], 66 ]. ## or [ [ 96, 195 ], 68 ]. ## or [ [ 96, 227 ], 30 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 471 rises from the (96,20,4) difference set ## [ [ 96, 195 ], 70 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 472 rises from the (96,20,4) difference set ## [ [ 96, 195 ], 73 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 473 rises from the (96,20,4) difference set ## [ [ 96, 195 ], 74 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 474 rises from the difference set ## [ [ 96, 196 ], 13 ]. ## or [ [ 96, 196 ], 49 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 475 rises from the difference set ## [ [ 96, 196 ], 18 ]. ## or [ [ 96, 197 ], 37 ]. ## or [ [ 96, 197 ], 38 ]. ## or [ [ 96, 228 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 476 rises from the difference set ## [ [ 96, 196 ], 27 ]. ## or [ [ 96, 197 ], 35 ]. ## or [ [ 96, 197 ], 36 ]. ## or [ [ 96, 228 ], 5 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 477 rises from the difference set ## [ [ 96, 196 ], 28 ]. ## or [ [ 96, 196 ], 54 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 478 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 31 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 479 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 32 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 480 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 33 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 481 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 34 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 482 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 35 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 483 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 36 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 484 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 37 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 485 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 38 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 486 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 44 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 487 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 45 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 488 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 51 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 489 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 52 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 490 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 56 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 491 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 63 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 492 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 64 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 493 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 74 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 494 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 75 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 495 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 76 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 496 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 77 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 497 rises from the difference set ## [ [ 96, 196 ], 78 ]. ## or [ [ 96, 218 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 498 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 79 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 499 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 80 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 500 rises from the (96,20,4) difference set ## [ [ 96, 196 ], 82 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 501 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 7 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 502 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 8 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 503 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 9 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 504 rises from the difference set ## [ [ 96, 197 ], 10 ]. ## or [ [ 96, 219 ], 1 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 505 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 11 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 506 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 12 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 507 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 13 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 508 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 14 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 509 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 27 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 510 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 28 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 511 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 29 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 512 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 30 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 513 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 65 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 514 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 66 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 515 rises from the (96,20,4) difference set ## [ [ 96, 197 ], 67 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 516 rises from the difference set ## [ [ 96, 197 ], 68 ]. ## or [ [ 96, 219 ], 4 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 517 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 518 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 519 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 520 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 521 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 5 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 522 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 6 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 523 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 7 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 524 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 8 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 525 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 9 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 526 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 10 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 527 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 11 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 528 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 12 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 529 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 13 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 530 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 14 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 531 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 15 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 532 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 16 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 533 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 17 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 534 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 18 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 535 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 19 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 536 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 20 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 537 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 21 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 538 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 22 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 539 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 23 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 540 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 24 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 541 rises from the (96,20,4) difference set ## [ [ 96, 202 ], 25 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 542 rises from the (96,20,4) difference set ## [ [ 96, 205 ], 17 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 543 rises from the (96,20,4) difference set ## [ [ 96, 205 ], 20 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 544 rises from the (96,20,4) difference set ## [ [ 96, 205 ], 22 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 545 rises from the (96,20,4) difference set ## [ [ 96, 205 ], 23 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 546 rises from the (96,20,4) difference set ## [ [ 96, 205 ], 25 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 547 rises from the (96,20,4) difference set ## [ [ 96, 205 ], 28 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 548 rises from the (96,20,4) difference set ## [ [ 96, 205 ], 30 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 549 rises from the (96,20,4) difference set ## [ [ 96, 205 ], 31 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 550 rises from the (96,20,4) difference set ## [ [ 96, 218 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 551 rises from the (96,20,4) difference set ## [ [ 96, 219 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 552 rises from the (96,20,4) difference set ## [ [ 96, 219 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 553 rises from the (96,20,4) difference set ## [ [ 96, 220 ], 5 ]. ## Symmetric (96,20,4) design number 554 rises from the (96,20,4) difference set ## [ [ 96, 220 ], 6 ]. ## Symmetric (96,20,4) design number 555 rises from the (96,20,4) difference set ## [ [ 96, 220 ], 7 ]. ## Symmetric (96,20,4) design number 556 rises from the (96,20,4) difference set ## [ [ 96, 220 ], 8 ]. ## Symmetric (96,20,4) design number 557 rises from the (96,20,4) difference set ## [ [ 96, 220 ], 9 ]. ## Symmetric (96,20,4) design number 558 rises from the (96,20,4) difference set ## [ [ 96, 220 ], 10 ]. ## Symmetric (96,20,4) design number 559 rises from the (96,20,4) difference set ## [ [ 96, 220 ], 11 ]. ## Symmetric (96,20,4) design number 560 rises from the (96,20,4) difference set ## [ [ 96, 220 ], 12 ]. ## Symmetric (96,20,4) design number 561 rises from the (96,20,4) difference set ## [ [ 96, 221 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 562 rises from the (96,20,4) difference set ## [ [ 96, 221 ], 2 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 563 rises from the (96,20,4) difference set ## [ [ 96, 221 ], 3 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 564 rises from the (96,20,4) difference set ## [ [ 96, 221 ], 4 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 565 rises from the (96,20,4) difference set ## [ [ 96, 221 ], 5 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 566 rises from the (96,20,4) difference set ## [ [ 96, 221 ], 6 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 567 rises from the (96,20,4) difference set ## [ [ 96, 221 ], 7 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 568 rises from the difference set ## [ [ 96, 221 ], 8 ]. ## or [ [ 96, 226 ], 24 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 569 rises from the (96,20,4) difference set ## [ [ 96, 225 ], 1 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 570 rises from the (96,20,4) difference set ## [ [ 96, 225 ], 6 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 571 rises from the (96,20,4) difference set ## [ [ 96, 226 ], 23 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 572 rises from the difference set ## [ [ 96, 227 ], 7 ]. ## or [ [ 96, 229 ], 3 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 573 rises from the difference set ## [ [ 96, 227 ], 10 ]. ## or [ [ 96, 228 ], 34 ]. ## or [ [ 96, 229 ], 6 ]. ## All of these (96,20,4) difference sets are genuinely nonabelian ## Symmetric (96,20,4) design number 574 rises from the (96,20,4) difference set ## [ [ 96, 227 ], 36 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 575 rises from the (96,20,4) difference set ## [ [ 96, 227 ], 38 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 576 rises from the (96,20,4) difference set ## [ [ 96, 227 ], 39 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 577 rises from the (96,20,4) difference set ## [ [ 96, 228 ], 13 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 578 rises from the (96,20,4) difference set ## [ [ 96, 228 ], 14 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 579 rises from the (96,20,4) difference set ## [ [ 96, 228 ], 15 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 580 rises from the (96,20,4) difference set ## [ [ 96, 228 ], 16 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 581 rises from the (96,20,4) difference set ## [ [ 96, 228 ], 30 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 582 rises from the (96,20,4) difference set ## [ [ 96, 228 ], 32 ]. ## This (96,20,4) difference set is genuinely nonabelian ## Symmetric (96,20,4) design number 583 rises from the (96,20,4) difference set ## [ [ 96, 229 ], 7 ]. ## This (96,20,4) difference set is genuinely nonabelian