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

Direct product G=N×Q with N=S3×C2×C12 and Q=C2
dρLabelID
S3×C22×C1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=S3×C2×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C12)⋊1C2 = D6⋊D12φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):1C2288,554
(S3×C2×C12)⋊2C2 = C2×D6.D6φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):2C2288,948
(S3×C2×C12)⋊3C2 = D6⋊2D12φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12):3C2288,556
(S3×C2×C12)⋊4C2 = C12⋊7D12φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):4C2288,557
(S3×C2×C12)⋊5C2 = C3×C12⋊D4φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12):5C2288,666
(S3×C2×C12)⋊6C2 = C3×D6⋊3D4φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):6C2288,709
(S3×C2×C12)⋊7C2 = C2×D12⋊5S3φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12):7C2288,943
(S3×C2×C12)⋊8C2 = C2×D6.6D6φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):8C2288,949
(S3×C2×C12)⋊9C2 = C2×S3×D12φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):9C2288,951
(S3×C2×C12)⋊10C2 = S3×C4○D12φ: C2/C1 → C2 ⊆ Out S3×C2×C12484(S3xC2xC12):10C2288,953
(S3×C2×C12)⋊11C2 = S3×C6×D4φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):11C2288,992
(S3×C2×C12)⋊12C2 = C6×D4⋊2S3φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):12C2288,993
(S3×C2×C12)⋊13C2 = C6×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12):13C2288,996
(S3×C2×C12)⋊14C2 = C3×S3×C4○D4φ: C2/C1 → C2 ⊆ Out S3×C2×C12484(S3xC2xC12):14C2288,998
(S3×C2×C12)⋊15C2 = C62.20C23φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):15C2288,498
(S3×C2×C12)⋊16C2 = C62.49C23φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12):16C2288,527
(S3×C2×C12)⋊17C2 = C4×D6⋊S3φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12):17C2288,549
(S3×C2×C12)⋊18C2 = C4×C3⋊D12φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):18C2288,551
(S3×C2×C12)⋊19C2 = C62.74C23φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):19C2288,552
(S3×C2×C12)⋊20C2 = C62.75C23φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12):20C2288,553
(S3×C2×C12)⋊21C2 = S3×D6⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):21C2288,568
(S3×C2×C12)⋊22C2 = C12×D12φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12):22C2288,644
(S3×C2×C12)⋊23C2 = C3×S3×C22⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):23C2288,651
(S3×C2×C12)⋊24C2 = C3×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):24C2288,652
(S3×C2×C12)⋊25C2 = C3×C23.9D6φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):25C2288,654
(S3×C2×C12)⋊26C2 = C3×Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12):26C2288,664
(S3×C2×C12)⋊27C2 = C3×D6.D4φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12):27C2288,665
(S3×C2×C12)⋊28C2 = C12×C3⋊D4φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):28C2288,699
(S3×C2×C12)⋊29C2 = S32×C2×C4φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):29C2288,950
(S3×C2×C12)⋊30C2 = C3×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):30C2288,655
(S3×C2×C12)⋊31C2 = C6×C4○D12φ: C2/C1 → C2 ⊆ Out S3×C2×C1248(S3xC2xC12):31C2288,991

Non-split extensions G=N.Q with N=S3×C2×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C12).1C2 = C2×D6.Dic3φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).1C2288,467
(S3×C2×C12).2C2 = D6⋊Dic6φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).2C2288,499
(S3×C2×C12).3C2 = C62.25C23φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).3C2288,503
(S3×C2×C12).4C2 = S3×C4.Dic3φ: C2/C1 → C2 ⊆ Out S3×C2×C12484(S3xC2xC12).4C2288,461
(S3×C2×C12).5C2 = C62.11C23φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).5C2288,489
(S3×C2×C12).6C2 = D6⋊6Dic6φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).6C2288,504
(S3×C2×C12).7C2 = D6⋊7Dic6φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).7C2288,505
(S3×C2×C12).8C2 = S3×C4⋊Dic3φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).8C2288,537
(S3×C2×C12).9C2 = C3×S3×C4⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).9C2288,662
(S3×C2×C12).10C2 = C3×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).10C2288,663
(S3×C2×C12).11C2 = C3×C4.D12φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).11C2288,668
(S3×C2×C12).12C2 = C3×S3×M4(2)φ: C2/C1 → C2 ⊆ Out S3×C2×C12484(S3xC2xC12).12C2288,677
(S3×C2×C12).13C2 = C3×D6⋊3Q8φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).13C2288,717
(S3×C2×C12).14C2 = C2×S3×Dic6φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).14C2288,942
(S3×C2×C12).15C2 = S3×C6×Q8φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).15C2288,995
(S3×C2×C12).16C2 = C12.77D12φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).16C2288,204
(S3×C2×C12).17C2 = C3×D6⋊C8φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).17C2288,254
(S3×C2×C12).18C2 = C2×S3×C3⋊C8φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).18C2288,460
(S3×C2×C12).19C2 = C4×S3×Dic3φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).19C2288,523
(S3×C2×C12).20C2 = S3×Dic3⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).20C2288,524
(S3×C2×C12).21C2 = C3×C42⋊2S3φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).21C2288,643
(S3×C2×C12).22C2 = C3×D6⋊Q8φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).22C2288,667
(S3×C2×C12).23C2 = C6×C8⋊S3φ: C2/C1 → C2 ⊆ Out S3×C2×C1296(S3xC2xC12).23C2288,671
(S3×C2×C12).24C2 = S3×C4×C12φ: trivial image96(S3xC2xC12).24C2288,642
(S3×C2×C12).25C2 = S3×C2×C24φ: trivial image96(S3xC2xC12).25C2288,670

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