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Extensions 1→N→G→Q→1 with N=C2×C12⋊S3 and Q=C2

Direct product G=N×Q with N=C2×C12⋊S3 and Q=C2
dρLabelID
C22×C12⋊S3144C2^2xC12:S3288,1005

Semidirect products G=N:Q with N=C2×C12⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C12⋊S3)⋊1C2 = Dic3⋊3D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3):1C2288,558
(C2×C12⋊S3)⋊2C2 = D6⋊5D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3):2C2288,571
(C2×C12⋊S3)⋊3C2 = C12⋊4D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3):3C2288,731
(C2×C12⋊S3)⋊4C2 = C62⋊12D4φ: C2/C1 → C2 ⊆ Out C2×C12⋊S372(C2xC12:S3):4C2288,739
(C2×C12⋊S3)⋊5C2 = C62.228C23φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3):5C2288,741
(C2×C12⋊S3)⋊6C2 = C12⋊3D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3):6C2288,752
(C2×C12⋊S3)⋊7C2 = C2×C32⋊5D8φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3):7C2288,760
(C2×C12⋊S3)⋊8C2 = C62⋊19D4φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3):8C2288,787
(C2×C12⋊S3)⋊9C2 = C2×C3⋊D24φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3):9C2288,472
(C2×C12⋊S3)⋊10C2 = D12⋊18D6φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3244+(C2xC12:S3):10C2288,473
(C2×C12⋊S3)⋊11C2 = C12⋊7D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3):11C2288,557
(C2×C12⋊S3)⋊12C2 = C12⋊D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3):12C2288,559
(C2×C12⋊S3)⋊13C2 = C24⋊3D6φ: C2/C1 → C2 ⊆ Out C2×C12⋊S372(C2xC12:S3):13C2288,765
(C2×C12⋊S3)⋊14C2 = C2×C32⋊7D8φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3):14C2288,788
(C2×C12⋊S3)⋊15C2 = C62.258C23φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3):15C2288,797
(C2×C12⋊S3)⋊16C2 = C62.73D4φ: C2/C1 → C2 ⊆ Out C2×C12⋊S372(C2xC12:S3):16C2288,806
(C2×C12⋊S3)⋊17C2 = C2×D6.6D6φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3):17C2288,949
(C2×C12⋊S3)⋊18C2 = C2×S3×D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3):18C2288,951
(C2×C12⋊S3)⋊19C2 = D12⋊27D6φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3244+(C2xC12:S3):19C2288,956
(C2×C12⋊S3)⋊20C2 = C2×D4×C3⋊S3φ: C2/C1 → C2 ⊆ Out C2×C12⋊S372(C2xC12:S3):20C2288,1007
(C2×C12⋊S3)⋊21C2 = C2×C12.26D6φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3):21C2288,1011
(C2×C12⋊S3)⋊22C2 = C62.154C23φ: C2/C1 → C2 ⊆ Out C2×C12⋊S372(C2xC12:S3):22C2288,1014
(C2×C12⋊S3)⋊23C2 = C2×C12.59D6φ: trivial image144(C2xC12:S3):23C2288,1006

Non-split extensions G=N.Q with N=C2×C12⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C12⋊S3).1C2 = C62.84D4φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3).1C2288,296
(C2×C12⋊S3).2C2 = (C6×C12)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3244+(C2xC12:S3).2C2288,422
(C2×C12⋊S3).3C2 = C62.67C23φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3).3C2288,545
(C2×C12⋊S3).4C2 = C122⋊6C2φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3).4C2288,732
(C2×C12⋊S3).5C2 = C62.238C23φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3).5C2288,751
(C2×C12⋊S3).6C2 = C2×C24⋊2S3φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3).6C2288,759
(C2×C12⋊S3).7C2 = C12.70D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3244+(C2xC12:S3).7C2288,207
(C2×C12⋊S3).8C2 = C6.17D24φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3).8C2288,212
(C2×C12⋊S3).9C2 = C62.113D4φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3).9C2288,284
(C2×C12⋊S3).10C2 = C12.19D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S372(C2xC12:S3).10C2288,298
(C2×C12⋊S3).11C2 = C2×C32⋊5SD16φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3).11C2288,480
(C2×C12⋊S3).12C2 = C12.28D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3).12C2288,512
(C2×C12⋊S3).13C2 = Dic3⋊5D12φ: C2/C1 → C2 ⊆ Out C2×C12⋊S348(C2xC12:S3).13C2288,542
(C2×C12⋊S3).14C2 = C62.237C23φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3).14C2288,750
(C2×C12⋊S3).15C2 = C2×C32⋊11SD16φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3).15C2288,798
(C2×C12⋊S3).16C2 = C62.262C23φ: C2/C1 → C2 ⊆ Out C2×C12⋊S3144(C2xC12:S3).16C2288,804
(C2×C12⋊S3).17C2 = C4×C12⋊S3φ: trivial image144(C2xC12:S3).17C2288,730

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