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Extensions 1→N→G→Q→1 with N=C6.11D12 and Q=C2

Direct product G=N×Q with N=C6.11D12 and Q=C2
dρLabelID
C2×C6.11D12144C2xC6.11D12288,784

Semidirect products G=N:Q with N=C6.11D12 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.11D12⋊1C2 = C122⋊6C2φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:1C2288,732
C6.11D12⋊2C2 = C62.129D4φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:2C2288,786
C6.11D12⋊3C2 = C62⋊19D4φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:3C2288,787
C6.11D12⋊4C2 = C62⋊12D4φ: C2/C1 → C2 ⊆ Out C6.11D1272C6.11D12:4C2288,739
C6.11D12⋊5C2 = C62.227C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:5C2288,740
C6.11D12⋊6C2 = C62.69D4φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:6C2288,743
C6.11D12⋊7C2 = C12⋊3D12φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:7C2288,752
C6.11D12⋊8C2 = C62.24C23φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:8C2288,502
C6.11D12⋊9C2 = Dic3⋊D12φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:9C2288,534
C6.11D12⋊10C2 = D6.D12φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:10C2288,538
C6.11D12⋊11C2 = C62.77C23φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:11C2288,555
C6.11D12⋊12C2 = D6⋊4D12φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:12C2288,570
C6.11D12⋊13C2 = C62.20C23φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:13C2288,498
C6.11D12⋊14C2 = Dic3.D12φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:14C2288,500
C6.11D12⋊15C2 = Dic3⋊4D12φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:15C2288,528
C6.11D12⋊16C2 = C62.74C23φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:16C2288,552
C6.11D12⋊17C2 = D6⋊D12φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:17C2288,554
C6.11D12⋊18C2 = S3×D6⋊C4φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12:18C2288,568
C6.11D12⋊19C2 = C22⋊C4×C3⋊S3φ: C2/C1 → C2 ⊆ Out C6.11D1272C6.11D12:19C2288,737
C6.11D12⋊20C2 = C62.225C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:20C2288,738
C6.11D12⋊21C2 = C62.228C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:21C2288,741
C6.11D12⋊22C2 = C62.229C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:22C2288,742
C6.11D12⋊23C2 = C62.237C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:23C2288,750
C6.11D12⋊24C2 = C62.238C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:24C2288,751
C6.11D12⋊25C2 = C62⋊13D4φ: C2/C1 → C2 ⊆ Out C6.11D1272C6.11D12:25C2288,794
C6.11D12⋊26C2 = C62⋊14D4φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:26C2288,796
C6.11D12⋊27C2 = C62.262C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12:27C2288,804
C6.11D12⋊28C2 = C4×C12⋊S3φ: trivial image144C6.11D12:28C2288,730
C6.11D12⋊29C2 = C4×C32⋊7D4φ: trivial image144C6.11D12:29C2288,785

Non-split extensions G=N.Q with N=C6.11D12 and Q=C2
extensionφ:Q→Out NdρLabelID
C6.11D12.1C2 = C122⋊2C2φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12.1C2288,733
C6.11D12.2C2 = C62.240C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12.2C2288,753
C6.11D12.3C2 = C12.31D12φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12.3C2288,754
C6.11D12.4C2 = C62.18C23φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12.4C2288,496
C6.11D12.5C2 = C62.58C23φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12.5C2288,536
C6.11D12.6C2 = C62.65C23φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12.6C2288,543
C6.11D12.7C2 = C62.6C23φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12.7C2288,484
C6.11D12.8C2 = C62.38C23φ: C2/C1 → C2 ⊆ Out C6.11D1248C6.11D12.8C2288,516
C6.11D12.9C2 = C62.236C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12.9C2288,749
C6.11D12.10C2 = C62.242C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12.10C2288,755
C6.11D12.11C2 = C62.261C23φ: C2/C1 → C2 ⊆ Out C6.11D12144C6.11D12.11C2288,803
C6.11D12.12C2 = C122⋊16C2φ: trivial image144C6.11D12.12C2288,729

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