extension | φ:Q→Aut N | d | ρ | Label | ID |
C6.12- (1+4) = C6.72+ (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.1ES-(2,2) | 192,1059 |
C6.22- (1+4) = C6.82+ (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.2ES-(2,2) | 192,1063 |
C6.32- (1+4) = C6.2- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.3ES-(2,2) | 192,1066 |
C6.42- (1+4) = C6.2+ (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.4ES-(2,2) | 192,1069 |
C6.52- (1+4) = C6.52- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.5ES-(2,2) | 192,1072 |
C6.62- (1+4) = C6.62- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.6ES-(2,2) | 192,1074 |
C6.72- (1+4) = C42.122D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.7ES-(2,2) | 192,1127 |
C6.82- (1+4) = Q8⋊6Dic6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 192 | | C6.8ES-(2,2) | 192,1128 |
C6.92- (1+4) = C42.125D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.9ES-(2,2) | 192,1131 |
C6.102- (1+4) = C42.126D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.10ES-(2,2) | 192,1133 |
C6.112- (1+4) = Q8⋊6D12 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.11ES-(2,2) | 192,1135 |
C6.122- (1+4) = C42.132D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.12ES-(2,2) | 192,1140 |
C6.132- (1+4) = C42.133D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.13ES-(2,2) | 192,1141 |
C6.142- (1+4) = C42.134D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.14ES-(2,2) | 192,1142 |
C6.152- (1+4) = C6.152- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.15ES-(2,2) | 192,1184 |
C6.162- (1+4) = C6.162- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.16ES-(2,2) | 192,1187 |
C6.172- (1+4) = C6.172- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.17ES-(2,2) | 192,1188 |
C6.182- (1+4) = D12⋊22D4 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.18ES-(2,2) | 192,1190 |
C6.192- (1+4) = Dic6⋊22D4 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.19ES-(2,2) | 192,1192 |
C6.202- (1+4) = C6.202- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.20ES-(2,2) | 192,1197 |
C6.212- (1+4) = C6.212- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.21ES-(2,2) | 192,1198 |
C6.222- (1+4) = C6.552+ (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.22ES-(2,2) | 192,1199 |
C6.232- (1+4) = C6.232- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.23ES-(2,2) | 192,1200 |
C6.242- (1+4) = C6.242- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.24ES-(2,2) | 192,1202 |
C6.252- (1+4) = C6.582+ (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.25ES-(2,2) | 192,1205 |
C6.262- (1+4) = C6.592+ (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.26ES-(2,2) | 192,1206 |
C6.272- (1+4) = C42.147D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 192 | | C6.27ES-(2,2) | 192,1245 |
C6.282- (1+4) = C42.150D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.28ES-(2,2) | 192,1251 |
C6.292- (1+4) = C42.151D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.29ES-(2,2) | 192,1252 |
C6.302- (1+4) = C42.154D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.30ES-(2,2) | 192,1255 |
C6.312- (1+4) = C42.157D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.31ES-(2,2) | 192,1258 |
C6.322- (1+4) = C42.158D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.32ES-(2,2) | 192,1259 |
C6.332- (1+4) = Dic6⋊8Q8 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 192 | | C6.33ES-(2,2) | 192,1280 |
C6.342- (1+4) = C42.171D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.34ES-(2,2) | 192,1283 |
C6.352- (1+4) = D12⋊12D4 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.35ES-(2,2) | 192,1285 |
C6.362- (1+4) = D12⋊8Q8 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.36ES-(2,2) | 192,1286 |
C6.372- (1+4) = C42.174D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.37ES-(2,2) | 192,1288 |
C6.382- (1+4) = C42.176D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.38ES-(2,2) | 192,1290 |
C6.392- (1+4) = C42.177D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.39ES-(2,2) | 192,1291 |
C6.402- (1+4) = C42.178D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.40ES-(2,2) | 192,1292 |
C6.412- (1+4) = C42.180D6 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.41ES-(2,2) | 192,1294 |
C6.422- (1+4) = C6.422- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.42ES-(2,2) | 192,1371 |
C6.432- (1+4) = Q8×C3⋊D4 | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.43ES-(2,2) | 192,1374 |
C6.442- (1+4) = C6.442- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.44ES-(2,2) | 192,1375 |
C6.452- (1+4) = C6.452- (1+4) | φ: 2- (1+4)/C2×Q8 → C2 ⊆ Aut C6 | 96 | | C6.45ES-(2,2) | 192,1376 |
C6.462- (1+4) = C42.87D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.46ES-(2,2) | 192,1075 |
C6.472- (1+4) = C42.89D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.47ES-(2,2) | 192,1077 |
C6.482- (1+4) = C42.90D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.48ES-(2,2) | 192,1078 |
C6.492- (1+4) = C42.91D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.49ES-(2,2) | 192,1082 |
C6.502- (1+4) = C42.92D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.50ES-(2,2) | 192,1085 |
C6.512- (1+4) = C42.94D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.51ES-(2,2) | 192,1088 |
C6.522- (1+4) = C42.96D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.52ES-(2,2) | 192,1090 |
C6.532- (1+4) = C42.98D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.53ES-(2,2) | 192,1092 |
C6.542- (1+4) = C42.99D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.54ES-(2,2) | 192,1093 |
C6.552- (1+4) = D4×Dic6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.55ES-(2,2) | 192,1096 |
C6.562- (1+4) = C42.105D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.56ES-(2,2) | 192,1100 |
C6.572- (1+4) = C42.106D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.57ES-(2,2) | 192,1101 |
C6.582- (1+4) = C42.108D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.58ES-(2,2) | 192,1105 |
C6.592- (1+4) = D12⋊24D4 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.59ES-(2,2) | 192,1110 |
C6.602- (1+4) = Dic6⋊23D4 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.60ES-(2,2) | 192,1111 |
C6.612- (1+4) = D4⋊6D12 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.61ES-(2,2) | 192,1114 |
C6.622- (1+4) = C42.115D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.62ES-(2,2) | 192,1120 |
C6.632- (1+4) = C42.118D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.63ES-(2,2) | 192,1123 |
C6.642- (1+4) = Dic6⋊10Q8 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 192 | | C6.64ES-(2,2) | 192,1126 |
C6.652- (1+4) = Q8⋊7Dic6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 192 | | C6.65ES-(2,2) | 192,1129 |
C6.662- (1+4) = Q8×D12 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.66ES-(2,2) | 192,1134 |
C6.672- (1+4) = C42.135D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.67ES-(2,2) | 192,1143 |
C6.682- (1+4) = C6.682- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.68ES-(2,2) | 192,1156 |
C6.692- (1+4) = Dic6⋊19D4 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.69ES-(2,2) | 192,1157 |
C6.702- (1+4) = C6.702- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.70ES-(2,2) | 192,1161 |
C6.712- (1+4) = C6.712- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.71ES-(2,2) | 192,1162 |
C6.722- (1+4) = C6.722- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.72ES-(2,2) | 192,1167 |
C6.732- (1+4) = C6.732- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.73ES-(2,2) | 192,1170 |
C6.742- (1+4) = C6.492+ (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.74ES-(2,2) | 192,1180 |
C6.752- (1+4) = C6.502+ (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.75ES-(2,2) | 192,1182 |
C6.762- (1+4) = Dic6⋊21D4 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.76ES-(2,2) | 192,1191 |
C6.772- (1+4) = C6.772- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.77ES-(2,2) | 192,1201 |
C6.782- (1+4) = C6.572+ (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.78ES-(2,2) | 192,1204 |
C6.792- (1+4) = C6.792- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.79ES-(2,2) | 192,1207 |
C6.802- (1+4) = C6.802- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.80ES-(2,2) | 192,1209 |
C6.812- (1+4) = C6.812- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.81ES-(2,2) | 192,1210 |
C6.822- (1+4) = C6.822- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.82ES-(2,2) | 192,1214 |
C6.832- (1+4) = C6.632+ (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.83ES-(2,2) | 192,1219 |
C6.842- (1+4) = C6.652+ (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.84ES-(2,2) | 192,1221 |
C6.852- (1+4) = C6.852- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.85ES-(2,2) | 192,1224 |
C6.862- (1+4) = C6.692+ (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.86ES-(2,2) | 192,1226 |
C6.872- (1+4) = C42.137D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.87ES-(2,2) | 192,1228 |
C6.882- (1+4) = C42.139D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.88ES-(2,2) | 192,1230 |
C6.892- (1+4) = C42.140D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.89ES-(2,2) | 192,1231 |
C6.902- (1+4) = C42.141D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.90ES-(2,2) | 192,1234 |
C6.912- (1+4) = Dic6⋊10D4 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.91ES-(2,2) | 192,1236 |
C6.922- (1+4) = C42.144D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.92ES-(2,2) | 192,1241 |
C6.932- (1+4) = C42.145D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.93ES-(2,2) | 192,1243 |
C6.942- (1+4) = Dic6⋊7Q8 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 192 | | C6.94ES-(2,2) | 192,1244 |
C6.952- (1+4) = C42.148D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.95ES-(2,2) | 192,1248 |
C6.962- (1+4) = C42.152D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.96ES-(2,2) | 192,1253 |
C6.972- (1+4) = C42.156D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.97ES-(2,2) | 192,1257 |
C6.982- (1+4) = C42.159D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.98ES-(2,2) | 192,1260 |
C6.992- (1+4) = C42.160D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.99ES-(2,2) | 192,1261 |
C6.1002- (1+4) = C42.161D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.100ES-(2,2) | 192,1266 |
C6.1012- (1+4) = C42.162D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.101ES-(2,2) | 192,1267 |
C6.1022- (1+4) = C42.164D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.102ES-(2,2) | 192,1269 |
C6.1032- (1+4) = C42.165D6 | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.103ES-(2,2) | 192,1271 |
C6.1042- (1+4) = C6.1042- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.104ES-(2,2) | 192,1383 |
C6.1052- (1+4) = C6.1052- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.105ES-(2,2) | 192,1384 |
C6.1062- (1+4) = C6.1062- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.106ES-(2,2) | 192,1386 |
C6.1072- (1+4) = C6.1072- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.107ES-(2,2) | 192,1390 |
C6.1082- (1+4) = C6.1082- (1+4) | φ: 2- (1+4)/C4○D4 → C2 ⊆ Aut C6 | 96 | | C6.108ES-(2,2) | 192,1392 |
C6.1092- (1+4) = C3×C23.32C23 | central extension (φ=1) | 96 | | C6.109ES-(2,2) | 192,1408 |
C6.1102- (1+4) = C3×C23.33C23 | central extension (φ=1) | 96 | | C6.110ES-(2,2) | 192,1409 |
C6.1112- (1+4) = C3×C23.38C23 | central extension (φ=1) | 96 | | C6.111ES-(2,2) | 192,1425 |
C6.1122- (1+4) = C3×C22.31C24 | central extension (φ=1) | 96 | | C6.112ES-(2,2) | 192,1426 |
C6.1132- (1+4) = C3×C22.33C24 | central extension (φ=1) | 96 | | C6.113ES-(2,2) | 192,1428 |
C6.1142- (1+4) = C3×C22.35C24 | central extension (φ=1) | 96 | | C6.114ES-(2,2) | 192,1430 |
C6.1152- (1+4) = C3×C22.36C24 | central extension (φ=1) | 96 | | C6.115ES-(2,2) | 192,1431 |
C6.1162- (1+4) = C3×C23.41C23 | central extension (φ=1) | 96 | | C6.116ES-(2,2) | 192,1433 |
C6.1172- (1+4) = C3×D4⋊6D4 | central extension (φ=1) | 96 | | C6.117ES-(2,2) | 192,1436 |
C6.1182- (1+4) = C3×Q8⋊5D4 | central extension (φ=1) | 96 | | C6.118ES-(2,2) | 192,1437 |
C6.1192- (1+4) = C3×D4×Q8 | central extension (φ=1) | 96 | | C6.119ES-(2,2) | 192,1438 |
C6.1202- (1+4) = C3×C22.46C24 | central extension (φ=1) | 96 | | C6.120ES-(2,2) | 192,1441 |
C6.1212- (1+4) = C3×C22.50C24 | central extension (φ=1) | 96 | | C6.121ES-(2,2) | 192,1445 |
C6.1222- (1+4) = C3×Q8⋊3Q8 | central extension (φ=1) | 192 | | C6.122ES-(2,2) | 192,1446 |
C6.1232- (1+4) = C3×C22.56C24 | central extension (φ=1) | 96 | | C6.123ES-(2,2) | 192,1451 |
C6.1242- (1+4) = C3×C22.57C24 | central extension (φ=1) | 96 | | C6.124ES-(2,2) | 192,1452 |
C6.1252- (1+4) = C3×C22.58C24 | central extension (φ=1) | 192 | | C6.125ES-(2,2) | 192,1453 |