Extensions 1→N→G→Q→1 with N=C6 and Q=2- (1+4)

Direct product G=N×Q with N=C6 and Q=2- (1+4)
dρLabelID
C6×2- (1+4)96C6xES-(2,2)192,1535

Semidirect products G=N:Q with N=C6 and Q=2- (1+4)
extensionφ:Q→Aut NdρLabelID
C612- (1+4) = C2×Q8.15D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6:1ES-(2,2)192,1519
C622- (1+4) = C2×Q8○D12φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6:2ES-(2,2)192,1522

Non-split extensions G=N.Q with N=C6 and Q=2- (1+4)
extensionφ:Q→Aut NdρLabelID
C6.12- (1+4) = C6.72+ (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.1ES-(2,2)192,1059
C6.22- (1+4) = C6.82+ (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.2ES-(2,2)192,1063
C6.32- (1+4) = C6.2- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.3ES-(2,2)192,1066
C6.42- (1+4) = C6.2+ (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.4ES-(2,2)192,1069
C6.52- (1+4) = C6.52- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.5ES-(2,2)192,1072
C6.62- (1+4) = C6.62- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.6ES-(2,2)192,1074
C6.72- (1+4) = C42.122D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.7ES-(2,2)192,1127
C6.82- (1+4) = Q86Dic6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C6192C6.8ES-(2,2)192,1128
C6.92- (1+4) = C42.125D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.9ES-(2,2)192,1131
C6.102- (1+4) = C42.126D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.10ES-(2,2)192,1133
C6.112- (1+4) = Q86D12φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.11ES-(2,2)192,1135
C6.122- (1+4) = C42.132D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.12ES-(2,2)192,1140
C6.132- (1+4) = C42.133D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.13ES-(2,2)192,1141
C6.142- (1+4) = C42.134D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.14ES-(2,2)192,1142
C6.152- (1+4) = C6.152- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.15ES-(2,2)192,1184
C6.162- (1+4) = C6.162- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.16ES-(2,2)192,1187
C6.172- (1+4) = C6.172- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.17ES-(2,2)192,1188
C6.182- (1+4) = D1222D4φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.18ES-(2,2)192,1190
C6.192- (1+4) = Dic622D4φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.19ES-(2,2)192,1192
C6.202- (1+4) = C6.202- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.20ES-(2,2)192,1197
C6.212- (1+4) = C6.212- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.21ES-(2,2)192,1198
C6.222- (1+4) = C6.552+ (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.22ES-(2,2)192,1199
C6.232- (1+4) = C6.232- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.23ES-(2,2)192,1200
C6.242- (1+4) = C6.242- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.24ES-(2,2)192,1202
C6.252- (1+4) = C6.582+ (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.25ES-(2,2)192,1205
C6.262- (1+4) = C6.592+ (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.26ES-(2,2)192,1206
C6.272- (1+4) = C42.147D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C6192C6.27ES-(2,2)192,1245
C6.282- (1+4) = C42.150D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.28ES-(2,2)192,1251
C6.292- (1+4) = C42.151D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.29ES-(2,2)192,1252
C6.302- (1+4) = C42.154D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.30ES-(2,2)192,1255
C6.312- (1+4) = C42.157D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.31ES-(2,2)192,1258
C6.322- (1+4) = C42.158D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.32ES-(2,2)192,1259
C6.332- (1+4) = Dic68Q8φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C6192C6.33ES-(2,2)192,1280
C6.342- (1+4) = C42.171D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.34ES-(2,2)192,1283
C6.352- (1+4) = D1212D4φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.35ES-(2,2)192,1285
C6.362- (1+4) = D128Q8φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.36ES-(2,2)192,1286
C6.372- (1+4) = C42.174D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.37ES-(2,2)192,1288
C6.382- (1+4) = C42.176D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.38ES-(2,2)192,1290
C6.392- (1+4) = C42.177D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.39ES-(2,2)192,1291
C6.402- (1+4) = C42.178D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.40ES-(2,2)192,1292
C6.412- (1+4) = C42.180D6φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.41ES-(2,2)192,1294
C6.422- (1+4) = C6.422- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.42ES-(2,2)192,1371
C6.432- (1+4) = Q8×C3⋊D4φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.43ES-(2,2)192,1374
C6.442- (1+4) = C6.442- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.44ES-(2,2)192,1375
C6.452- (1+4) = C6.452- (1+4)φ: 2- (1+4)/C2×Q8C2 ⊆ Aut C696C6.45ES-(2,2)192,1376
C6.462- (1+4) = C42.87D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.46ES-(2,2)192,1075
C6.472- (1+4) = C42.89D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.47ES-(2,2)192,1077
C6.482- (1+4) = C42.90D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.48ES-(2,2)192,1078
C6.492- (1+4) = C42.91D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.49ES-(2,2)192,1082
C6.502- (1+4) = C42.92D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.50ES-(2,2)192,1085
C6.512- (1+4) = C42.94D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.51ES-(2,2)192,1088
C6.522- (1+4) = C42.96D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.52ES-(2,2)192,1090
C6.532- (1+4) = C42.98D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.53ES-(2,2)192,1092
C6.542- (1+4) = C42.99D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.54ES-(2,2)192,1093
C6.552- (1+4) = D4×Dic6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.55ES-(2,2)192,1096
C6.562- (1+4) = C42.105D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.56ES-(2,2)192,1100
C6.572- (1+4) = C42.106D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.57ES-(2,2)192,1101
C6.582- (1+4) = C42.108D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.58ES-(2,2)192,1105
C6.592- (1+4) = D1224D4φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.59ES-(2,2)192,1110
C6.602- (1+4) = Dic623D4φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.60ES-(2,2)192,1111
C6.612- (1+4) = D46D12φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.61ES-(2,2)192,1114
C6.622- (1+4) = C42.115D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.62ES-(2,2)192,1120
C6.632- (1+4) = C42.118D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.63ES-(2,2)192,1123
C6.642- (1+4) = Dic610Q8φ: 2- (1+4)/C4○D4C2 ⊆ Aut C6192C6.64ES-(2,2)192,1126
C6.652- (1+4) = Q87Dic6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C6192C6.65ES-(2,2)192,1129
C6.662- (1+4) = Q8×D12φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.66ES-(2,2)192,1134
C6.672- (1+4) = C42.135D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.67ES-(2,2)192,1143
C6.682- (1+4) = C6.682- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.68ES-(2,2)192,1156
C6.692- (1+4) = Dic619D4φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.69ES-(2,2)192,1157
C6.702- (1+4) = C6.702- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.70ES-(2,2)192,1161
C6.712- (1+4) = C6.712- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.71ES-(2,2)192,1162
C6.722- (1+4) = C6.722- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.72ES-(2,2)192,1167
C6.732- (1+4) = C6.732- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.73ES-(2,2)192,1170
C6.742- (1+4) = C6.492+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.74ES-(2,2)192,1180
C6.752- (1+4) = C6.502+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.75ES-(2,2)192,1182
C6.762- (1+4) = Dic621D4φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.76ES-(2,2)192,1191
C6.772- (1+4) = C6.772- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.77ES-(2,2)192,1201
C6.782- (1+4) = C6.572+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.78ES-(2,2)192,1204
C6.792- (1+4) = C6.792- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.79ES-(2,2)192,1207
C6.802- (1+4) = C6.802- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.80ES-(2,2)192,1209
C6.812- (1+4) = C6.812- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.81ES-(2,2)192,1210
C6.822- (1+4) = C6.822- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.82ES-(2,2)192,1214
C6.832- (1+4) = C6.632+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.83ES-(2,2)192,1219
C6.842- (1+4) = C6.652+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.84ES-(2,2)192,1221
C6.852- (1+4) = C6.852- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.85ES-(2,2)192,1224
C6.862- (1+4) = C6.692+ (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.86ES-(2,2)192,1226
C6.872- (1+4) = C42.137D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.87ES-(2,2)192,1228
C6.882- (1+4) = C42.139D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.88ES-(2,2)192,1230
C6.892- (1+4) = C42.140D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.89ES-(2,2)192,1231
C6.902- (1+4) = C42.141D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.90ES-(2,2)192,1234
C6.912- (1+4) = Dic610D4φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.91ES-(2,2)192,1236
C6.922- (1+4) = C42.144D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.92ES-(2,2)192,1241
C6.932- (1+4) = C42.145D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.93ES-(2,2)192,1243
C6.942- (1+4) = Dic67Q8φ: 2- (1+4)/C4○D4C2 ⊆ Aut C6192C6.94ES-(2,2)192,1244
C6.952- (1+4) = C42.148D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.95ES-(2,2)192,1248
C6.962- (1+4) = C42.152D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.96ES-(2,2)192,1253
C6.972- (1+4) = C42.156D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.97ES-(2,2)192,1257
C6.982- (1+4) = C42.159D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.98ES-(2,2)192,1260
C6.992- (1+4) = C42.160D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.99ES-(2,2)192,1261
C6.1002- (1+4) = C42.161D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.100ES-(2,2)192,1266
C6.1012- (1+4) = C42.162D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.101ES-(2,2)192,1267
C6.1022- (1+4) = C42.164D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.102ES-(2,2)192,1269
C6.1032- (1+4) = C42.165D6φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.103ES-(2,2)192,1271
C6.1042- (1+4) = C6.1042- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.104ES-(2,2)192,1383
C6.1052- (1+4) = C6.1052- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.105ES-(2,2)192,1384
C6.1062- (1+4) = C6.1062- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.106ES-(2,2)192,1386
C6.1072- (1+4) = C6.1072- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.107ES-(2,2)192,1390
C6.1082- (1+4) = C6.1082- (1+4)φ: 2- (1+4)/C4○D4C2 ⊆ Aut C696C6.108ES-(2,2)192,1392
C6.1092- (1+4) = C3×C23.32C23central extension (φ=1)96C6.109ES-(2,2)192,1408
C6.1102- (1+4) = C3×C23.33C23central extension (φ=1)96C6.110ES-(2,2)192,1409
C6.1112- (1+4) = C3×C23.38C23central extension (φ=1)96C6.111ES-(2,2)192,1425
C6.1122- (1+4) = C3×C22.31C24central extension (φ=1)96C6.112ES-(2,2)192,1426
C6.1132- (1+4) = C3×C22.33C24central extension (φ=1)96C6.113ES-(2,2)192,1428
C6.1142- (1+4) = C3×C22.35C24central extension (φ=1)96C6.114ES-(2,2)192,1430
C6.1152- (1+4) = C3×C22.36C24central extension (φ=1)96C6.115ES-(2,2)192,1431
C6.1162- (1+4) = C3×C23.41C23central extension (φ=1)96C6.116ES-(2,2)192,1433
C6.1172- (1+4) = C3×D46D4central extension (φ=1)96C6.117ES-(2,2)192,1436
C6.1182- (1+4) = C3×Q85D4central extension (φ=1)96C6.118ES-(2,2)192,1437
C6.1192- (1+4) = C3×D4×Q8central extension (φ=1)96C6.119ES-(2,2)192,1438
C6.1202- (1+4) = C3×C22.46C24central extension (φ=1)96C6.120ES-(2,2)192,1441
C6.1212- (1+4) = C3×C22.50C24central extension (φ=1)96C6.121ES-(2,2)192,1445
C6.1222- (1+4) = C3×Q83Q8central extension (φ=1)192C6.122ES-(2,2)192,1446
C6.1232- (1+4) = C3×C22.56C24central extension (φ=1)96C6.123ES-(2,2)192,1451
C6.1242- (1+4) = C3×C22.57C24central extension (φ=1)96C6.124ES-(2,2)192,1452
C6.1252- (1+4) = C3×C22.58C24central extension (φ=1)192C6.125ES-(2,2)192,1453

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