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Extensions 1→N→G→Q→1 with N=C6.D12 and Q=C2

Direct product G=N×Q with N=C6.D12 and Q=C2
dρLabelID
C2×C6.D1248C2xC6.D12288,611

Semidirect products G=N:Q with N=C6.D12 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.D12⋊1C2 = C62.2D4φ: C2/C1 → C2 ⊆ Out C6.D12244+C6.D12:1C2288,386
C6.D12⋊2C2 = Dic3.D12φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:2C2288,500
C6.D12⋊3C2 = C12⋊7D12φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:3C2288,557
C6.D12⋊4C2 = D6⋊5D12φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:4C2288,571
C6.D12⋊5C2 = C62.60D4φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:5C2288,614
C6.D12⋊6C2 = C62.117C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:6C2288,623
C6.D12⋊7C2 = D6.D12φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:7C2288,538
C6.D12⋊8C2 = Dic3⋊3D12φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:8C2288,558
C6.D12⋊9C2 = C62.95C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:9C2288,601
C6.D12⋊10C2 = C62.23C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:10C2288,501
C6.D12⋊11C2 = C62⋊8D4φ: C2/C1 → C2 ⊆ Out C6.D1224C6.D12:11C2288,629
C6.D12⋊12C2 = C62.51C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:12C2288,529
C6.D12⋊13C2 = Dic3⋊5D12φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:13C2288,542
C6.D12⋊14C2 = S3×D6⋊C4φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:14C2288,568
C6.D12⋊15C2 = C62.94C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:15C2288,600
C6.D12⋊16C2 = C62.116C23φ: C2/C1 → C2 ⊆ Out C6.D1224C6.D12:16C2288,622
C6.D12⋊17C2 = C62.67C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:17C2288,545
C6.D12⋊18C2 = C62.77C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:18C2288,555
C6.D12⋊19C2 = C62.113C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:19C2288,619
C6.D12⋊20C2 = C62.20C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:20C2288,498
C6.D12⋊21C2 = C12.28D12φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:21C2288,512
C6.D12⋊22C2 = C62⋊6D4φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:22C2288,626
C6.D12⋊23C2 = C62.125C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12:23C2288,631
C6.D12⋊24C2 = C4×C3⋊D12φ: trivial image48C6.D12:24C2288,551

Non-split extensions G=N.Q with N=C6.D12 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.D12.1C2 = C62.38C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12.1C2288,516
C6.D12.2C2 = C62.65C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12.2C2288,543
C6.D12.3C2 = C62.35C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12.3C2288,513
C6.D12.4C2 = C12.30D12φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12.4C2288,519
C6.D12.5C2 = C62.6C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12.5C2288,484
C6.D12.6C2 = C62.19C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12.6C2288,497
C6.D12.7C2 = C62.18C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12.7C2288,496
C6.D12.8C2 = C62.58C23φ: C2/C1 → C2 ⊆ Out C6.D1248C6.D12.8C2288,536
C6.D12.9C2 = C62.44C23φ: trivial image48C6.D12.9C2288,522

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