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Extensions 1→N→G→Q→1 with N=D4×C12 and Q=C2

Direct product G=N×Q with N=D4×C12 and Q=C2
dρLabelID
D4×C2×C1296D4xC2xC12192,1404

Semidirect products G=N:Q with N=D4×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C12)⋊1C2 = C4×D4⋊S3φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):1C2192,572
(D4×C12)⋊2C2 = C42.48D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):2C2192,573
(D4×C12)⋊3C2 = C12⋊7D8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):3C2192,574
(D4×C12)⋊4C2 = D4.1D12φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):4C2192,575
(D4×C12)⋊5C2 = C4×D4⋊2S3φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):5C2192,1095
(D4×C12)⋊6C2 = C42.102D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):6C2192,1097
(D4×C12)⋊7C2 = C42.104D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):7C2192,1099
(D4×C12)⋊8C2 = C4×S3×D4φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):8C2192,1103
(D4×C12)⋊9C2 = C42⋊13D6φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):9C2192,1104
(D4×C12)⋊10C2 = C42.108D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):10C2192,1105
(D4×C12)⋊11C2 = C42⋊14D6φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):11C2192,1106
(D4×C12)⋊12C2 = C42.228D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):12C2192,1107
(D4×C12)⋊13C2 = D4×D12φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):13C2192,1108
(D4×C12)⋊14C2 = D12⋊23D4φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):14C2192,1109
(D4×C12)⋊15C2 = D12⋊24D4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):15C2192,1110
(D4×C12)⋊16C2 = Dic6⋊23D4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):16C2192,1111
(D4×C12)⋊17C2 = Dic6⋊24D4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):17C2192,1112
(D4×C12)⋊18C2 = D4⋊5D12φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):18C2192,1113
(D4×C12)⋊19C2 = D4⋊6D12φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):19C2192,1114
(D4×C12)⋊20C2 = C42⋊18D6φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):20C2192,1115
(D4×C12)⋊21C2 = C42.229D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):21C2192,1116
(D4×C12)⋊22C2 = C42.113D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):22C2192,1117
(D4×C12)⋊23C2 = C42.114D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):23C2192,1118
(D4×C12)⋊24C2 = C42⋊19D6φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):24C2192,1119
(D4×C12)⋊25C2 = C42.115D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):25C2192,1120
(D4×C12)⋊26C2 = C42.116D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):26C2192,1121
(D4×C12)⋊27C2 = C42.117D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):27C2192,1122
(D4×C12)⋊28C2 = C42.118D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):28C2192,1123
(D4×C12)⋊29C2 = C42.119D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):29C2192,1124
(D4×C12)⋊30C2 = C12×D8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):30C2192,870
(D4×C12)⋊31C2 = C3×D8⋊C4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):31C2192,875
(D4×C12)⋊32C2 = C3×C4⋊D8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):32C2192,892
(D4×C12)⋊33C2 = C3×D4.2D4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):33C2192,896
(D4×C12)⋊34C2 = C3×C22.11C24φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):34C2192,1407
(D4×C12)⋊35C2 = C3×C23.33C23φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):35C2192,1409
(D4×C12)⋊36C2 = C3×C22.19C24φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):36C2192,1414
(D4×C12)⋊37C2 = C3×C23.36C23φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):37C2192,1418
(D4×C12)⋊38C2 = C3×C22.26C24φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):38C2192,1421
(D4×C12)⋊39C2 = C3×C22.32C24φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):39C2192,1427
(D4×C12)⋊40C2 = C3×C22.33C24φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):40C2192,1428
(D4×C12)⋊41C2 = C3×C22.34C24φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):41C2192,1429
(D4×C12)⋊42C2 = C3×C22.36C24φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):42C2192,1431
(D4×C12)⋊43C2 = C3×D42φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):43C2192,1434
(D4×C12)⋊44C2 = C3×D4⋊5D4φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):44C2192,1435
(D4×C12)⋊45C2 = C3×D4⋊6D4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):45C2192,1436
(D4×C12)⋊46C2 = C3×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):46C2192,1437
(D4×C12)⋊47C2 = C3×Q8⋊6D4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):47C2192,1439
(D4×C12)⋊48C2 = C3×C22.45C24φ: C2/C1 → C2 ⊆ Out D4×C1248(D4xC12):48C2192,1440
(D4×C12)⋊49C2 = C3×C22.47C24φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):49C2192,1442
(D4×C12)⋊50C2 = C3×C22.49C24φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):50C2192,1444
(D4×C12)⋊51C2 = C3×C22.53C24φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12):51C2192,1448
(D4×C12)⋊52C2 = C12×C4○D4φ: trivial image96(D4xC12):52C2192,1406

Non-split extensions G=N.Q with N=D4×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(D4×C12).1C2 = C12.57D8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).1C2192,93
(D4×C12).2C2 = C12.50D8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).2C2192,566
(D4×C12).3C2 = C12.38SD16φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).3C2192,567
(D4×C12).4C2 = D4.3Dic6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).4C2192,568
(D4×C12).5C2 = D4×C3⋊C8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).5C2192,569
(D4×C12).6C2 = C42.47D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).6C2192,570
(D4×C12).7C2 = C12⋊3M4(2)φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).7C2192,571
(D4×C12).8C2 = C4×D4.S3φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).8C2192,576
(D4×C12).9C2 = C42.51D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).9C2192,577
(D4×C12).10C2 = D4.2D12φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).10C2192,578
(D4×C12).11C2 = D4×Dic6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).11C2192,1096
(D4×C12).12C2 = D4⋊5Dic6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).12C2192,1098
(D4×C12).13C2 = C42.105D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).13C2192,1100
(D4×C12).14C2 = C42.106D6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).14C2192,1101
(D4×C12).15C2 = D4⋊6Dic6φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).15C2192,1102
(D4×C12).16C2 = C3×D4⋊C8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).16C2192,131
(D4×C12).17C2 = C3×C8⋊9D4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).17C2192,868
(D4×C12).18C2 = C3×C8⋊6D4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).18C2192,869
(D4×C12).19C2 = C12×SD16φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).19C2192,871
(D4×C12).20C2 = C3×SD16⋊C4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).20C2192,873
(D4×C12).21C2 = C3×D4.D4φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).21C2192,894
(D4×C12).22C2 = C3×D4⋊Q8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).22C2192,907
(D4×C12).23C2 = C3×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).23C2192,909
(D4×C12).24C2 = C3×D4.Q8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).24C2192,911
(D4×C12).25C2 = C3×D4×Q8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).25C2192,1438
(D4×C12).26C2 = C3×C22.46C24φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).26C2192,1441
(D4×C12).27C2 = C3×D4⋊3Q8φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).27C2192,1443
(D4×C12).28C2 = C3×C22.50C24φ: C2/C1 → C2 ⊆ Out D4×C1296(D4xC12).28C2192,1445
(D4×C12).29C2 = D4×C24φ: trivial image96(D4xC12).29C2192,867

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