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Extensions 1→N→G→Q→1 with N=C6.D8 and Q=C2

Direct product G=N×Q with N=C6.D8 and Q=C2
dρLabelID
C2×C6.D896C2xC6.D8192,524

Semidirect products G=N:Q with N=C6.D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.D8⋊1C2 = Dic3.SD16φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:1C2192,319
C6.D8⋊2C2 = Dic6⋊2D4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:2C2192,321
C6.D8⋊3C2 = C4⋊C4.D6φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:3C2192,323
C6.D8⋊4C2 = S3×D4⋊C4φ: C2/C1 → C2 ⊆ Out C6.D848C6.D8:4C2192,328
C6.D8⋊5C2 = C4⋊C4⋊19D6φ: C2/C1 → C2 ⊆ Out C6.D848C6.D8:5C2192,329
C6.D8⋊6C2 = D4⋊D12φ: C2/C1 → C2 ⊆ Out C6.D848C6.D8:6C2192,332
C6.D8⋊7C2 = D6⋊5SD16φ: C2/C1 → C2 ⊆ Out C6.D848C6.D8:7C2192,335
C6.D8⋊8C2 = D12⋊3D4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:8C2192,345
C6.D8⋊9C2 = Q8⋊7(C4×S3)φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:9C2192,362
C6.D8⋊10C2 = C4⋊C4.150D6φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:10C2192,363
C6.D8⋊11C2 = Q8.11D12φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:11C2192,367
C6.D8⋊12C2 = Q8⋊4D12φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:12C2192,369
C6.D8⋊13C2 = D12.12D4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:13C2192,378
C6.D8⋊14C2 = D6.4SD16φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:14C2192,422
C6.D8⋊15C2 = C8⋊8D12φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:15C2192,423
C6.D8⋊16C2 = C24⋊7D4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:16C2192,424
C6.D8⋊17C2 = C4.Q8⋊S3φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:17C2192,425
C6.D8⋊18C2 = D24⋊9C4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:18C2192,428
C6.D8⋊19C2 = Dic3⋊5D8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:19C2192,431
C6.D8⋊20C2 = D6.5D8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:20C2192,441
C6.D8⋊21C2 = D6⋊2D8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:21C2192,442
C6.D8⋊22C2 = C2.D8⋊S3φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:22C2192,444
C6.D8⋊23C2 = C8⋊3D12φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:23C2192,445
C6.D8⋊24C2 = C4○D12⋊C4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:24C2192,525
C6.D8⋊25C2 = (C2×C6).40D8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:25C2192,526
C6.D8⋊26C2 = C4⋊C4.228D6φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:26C2192,527
C6.D8⋊27C2 = C4⋊C4⋊36D6φ: C2/C1 → C2 ⊆ Out C6.D848C6.D8:27C2192,560
C6.D8⋊28C2 = C4⋊C4.236D6φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:28C2192,562
C6.D8⋊29C2 = C42.48D6φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:29C2192,573
C6.D8⋊30C2 = C12⋊7D8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:30C2192,574
C6.D8⋊31C2 = D4.1D12φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:31C2192,575
C6.D8⋊32C2 = Q8⋊2D12φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:32C2192,586
C6.D8⋊33C2 = D12⋊16D4φ: C2/C1 → C2 ⊆ Out C6.D848C6.D8:33C2192,595
C6.D8⋊34C2 = D12⋊17D4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:34C2192,596
C6.D8⋊35C2 = C3⋊C8⋊22D4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:35C2192,597
C6.D8⋊36C2 = C4⋊D4⋊S3φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:36C2192,598
C6.D8⋊37C2 = D12.36D4φ: C2/C1 → C2 ⊆ Out C6.D848C6.D8:37C2192,605
C6.D8⋊38C2 = D12.37D4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:38C2192,606
C6.D8⋊39C2 = C3⋊C8⋊24D4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:39C2192,607
C6.D8⋊40C2 = C3⋊C8⋊6D4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:40C2192,608
C6.D8⋊41C2 = C42.70D6φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:41C2192,626
C6.D8⋊42C2 = C12.D8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8:42C2192,647
C6.D8⋊43C2 = C4.(C2×D12)φ: trivial image96C6.D8:43C2192,561
C6.D8⋊44C2 = C4×D4⋊S3φ: trivial image96C6.D8:44C2192,572

Non-split extensions G=N.Q with N=C6.D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.D8.1C2 = (C2×C8).D6φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.1C2192,353
C6.D8.2C2 = Dic6.11D4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.2C2192,357
C6.D8.3C2 = Q8⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.3C2192,359
C6.D8.4C2 = Dic3⋊8SD16φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.4C2192,411
C6.D8.5C2 = D12⋊Q8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.5C2192,429
C6.D8.6C2 = D12.Q8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.6C2192,430
C6.D8.7C2 = C24⋊C2⋊C4φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.7C2192,448
C6.D8.8C2 = D12⋊2Q8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.8C2192,449
C6.D8.9C2 = D12.2Q8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.9C2192,450
C6.D8.10C2 = C42.56D6φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.10C2192,585
C6.D8.11C2 = Q8.6D12φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.11C2192,587
C6.D8.12C2 = D12.4Q8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.12C2192,625
C6.D8.13C2 = C42.216D6φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.13C2192,627
C6.D8.14C2 = D12⋊5Q8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.14C2192,643
C6.D8.15C2 = D12⋊6Q8φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.15C2192,646
C6.D8.16C2 = C42.82D6φ: C2/C1 → C2 ⊆ Out C6.D896C6.D8.16C2192,648
C6.D8.17C2 = C4×Q8⋊2S3φ: trivial image96C6.D8.17C2192,584

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