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Extensions 1→N→G→Q→1 with N=C12⋊C8 and Q=C2

Direct product G=N×Q with N=C12⋊C8 and Q=C2
dρLabelID
C2×C12⋊C8192C2xC12:C8192,482

Semidirect products G=N:Q with N=C12⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊C8⋊1C2 = C4.17D24φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:1C2192,18
C12⋊C8⋊2C2 = C8⋊6D12φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:2C2192,247
C12⋊C8⋊3C2 = C8⋊9D12φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:3C2192,265
C12⋊C8⋊4C2 = C12⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:4C2192,483
C12⋊C8⋊5C2 = C42.270D6φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:5C2192,485
C12⋊C8⋊6C2 = C42.43D6φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:6C2192,558
C12⋊C8⋊7C2 = C42.187D6φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:7C2192,559
C12⋊C8⋊8C2 = C4.D24φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:8C2192,44
C12⋊C8⋊9C2 = C12.57D8φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:9C2192,93
C12⋊C8⋊10C2 = C12.9D8φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:10C2192,103
C12⋊C8⋊11C2 = S3×C4⋊C8φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:11C2192,391
C12⋊C8⋊12C2 = C42.200D6φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:12C2192,392
C12⋊C8⋊13C2 = C42.202D6φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:13C2192,394
C12⋊C8⋊14C2 = C12⋊M4(2)φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:14C2192,396
C12⋊C8⋊15C2 = C42.30D6φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:15C2192,398
C12⋊C8⋊16C2 = C42.31D6φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:16C2192,399
C12⋊C8⋊17C2 = C12.50D8φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:17C2192,566
C12⋊C8⋊18C2 = C12.38SD16φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:18C2192,567
C12⋊C8⋊19C2 = D4.3Dic6φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:19C2192,568
C12⋊C8⋊20C2 = D4×C3⋊C8φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:20C2192,569
C12⋊C8⋊21C2 = C42.47D6φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:21C2192,570
C12⋊C8⋊22C2 = C12⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:22C2192,571
C12⋊C8⋊23C2 = C12⋊7D8φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:23C2192,574
C12⋊C8⋊24C2 = D4.1D12φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:24C2192,575
C12⋊C8⋊25C2 = D4.2D12φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:25C2192,578
C12⋊C8⋊26C2 = Q8⋊2D12φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:26C2192,586
C12⋊C8⋊27C2 = Q8.6D12φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:27C2192,587
C12⋊C8⋊28C2 = C42.61D6φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:28C2192,613
C12⋊C8⋊29C2 = D12.23D4φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:29C2192,616
C12⋊C8⋊30C2 = D12.4Q8φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:30C2192,625
C12⋊C8⋊31C2 = C12⋊2D8φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:31C2192,631
C12⋊C8⋊32C2 = Dic6⋊9D4φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:32C2192,634
C12⋊C8⋊33C2 = C12⋊5SD16φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:33C2192,642
C12⋊C8⋊34C2 = D12⋊5Q8φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:34C2192,643
C12⋊C8⋊35C2 = D12⋊6Q8φ: C2/C1 → C2 ⊆ Out C12⋊C896C12:C8:35C2192,646
C12⋊C8⋊36C2 = C8×D12φ: trivial image96C12:C8:36C2192,245
C12⋊C8⋊37C2 = C42.285D6φ: trivial image96C12:C8:37C2192,484

Non-split extensions G=N.Q with N=C12⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C12⋊C8.1C2 = C4.8Dic12φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.1C2192,15
C12⋊C8.2C2 = C24⋊2C8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.2C2192,16
C12⋊C8.3C2 = C24⋊1C8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.3C2192,17
C12⋊C8.4C2 = C24⋊12Q8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.4C2192,238
C12⋊C8.5C2 = C24⋊Q8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.5C2192,260
C12⋊C8.6C2 = C12.53D8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.6C2192,38
C12⋊C8.7C2 = C12.39SD16φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.7C2192,39
C12⋊C8.8C2 = C4.Dic12φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.8C2192,40
C12⋊C8.9C2 = C12.47D8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.9C2192,41
C12⋊C8.10C2 = C12.2D8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.10C2192,45
C12⋊C8.11C2 = C12.26Q16φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.11C2192,94
C12⋊C8.12C2 = C12.5Q16φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.12C2192,105
C12⋊C8.13C2 = C12.10D8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.13C2192,106
C12⋊C8.14C2 = Q8⋊4Dic6φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.14C2192,579
C12⋊C8.15C2 = Q8⋊5Dic6φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.15C2192,580
C12⋊C8.16C2 = Q8.5Dic6φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.16C2192,581
C12⋊C8.17C2 = Q8×C3⋊C8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.17C2192,582
C12⋊C8.18C2 = C42.210D6φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.18C2192,583
C12⋊C8.19C2 = C12⋊7Q16φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.19C2192,590
C12⋊C8.20C2 = Dic6.4Q8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.20C2192,622
C12⋊C8.21C2 = C12⋊Q16φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.21C2192,649
C12⋊C8.22C2 = Dic6⋊5Q8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.22C2192,650
C12⋊C8.23C2 = Dic6⋊6Q8φ: C2/C1 → C2 ⊆ Out C12⋊C8192C12:C8.23C2192,653
C12⋊C8.24C2 = C8×Dic6φ: trivial image192C12:C8.24C2192,237

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