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Extensions 1→N→G→Q→1 with N=S3×C2×C4 and Q=S3

Direct product G=N×Q with N=S3×C2×C4 and Q=S3
dρLabelID
S32×C2×C448S3^2xC2xC4288,950

Semidirect products G=N:Q with N=S3×C2×C4 and Q=S3
extensionφ:Q→Out NdρLabelID
(S3×C2×C4)⋊1S3 = D6⋊2D12φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4):1S3288,556
(S3×C2×C4)⋊2S3 = C12⋊7D12φ: S3/C3 → C2 ⊆ Out S3×C2×C448(S3xC2xC4):2S3288,557
(S3×C2×C4)⋊3S3 = C2×D12⋊5S3φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4):3S3288,943
(S3×C2×C4)⋊4S3 = C2×D6.6D6φ: S3/C3 → C2 ⊆ Out S3×C2×C448(S3xC2xC4):4S3288,949
(S3×C2×C4)⋊5S3 = C2×S3×D12φ: S3/C3 → C2 ⊆ Out S3×C2×C448(S3xC2xC4):5S3288,951
(S3×C2×C4)⋊6S3 = S3×C4○D12φ: S3/C3 → C2 ⊆ Out S3×C2×C4484(S3xC2xC4):6S3288,953
(S3×C2×C4)⋊7S3 = C62.20C23φ: S3/C3 → C2 ⊆ Out S3×C2×C448(S3xC2xC4):7S3288,498
(S3×C2×C4)⋊8S3 = C62.49C23φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4):8S3288,527
(S3×C2×C4)⋊9S3 = C4×D6⋊S3φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4):9S3288,549
(S3×C2×C4)⋊10S3 = C4×C3⋊D12φ: S3/C3 → C2 ⊆ Out S3×C2×C448(S3xC2xC4):10S3288,551
(S3×C2×C4)⋊11S3 = C62.74C23φ: S3/C3 → C2 ⊆ Out S3×C2×C448(S3xC2xC4):11S3288,552
(S3×C2×C4)⋊12S3 = C62.75C23φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4):12S3288,553
(S3×C2×C4)⋊13S3 = D6⋊D12φ: S3/C3 → C2 ⊆ Out S3×C2×C448(S3xC2xC4):13S3288,554
(S3×C2×C4)⋊14S3 = S3×D6⋊C4φ: S3/C3 → C2 ⊆ Out S3×C2×C448(S3xC2xC4):14S3288,568
(S3×C2×C4)⋊15S3 = C2×D6.D6φ: S3/C3 → C2 ⊆ Out S3×C2×C448(S3xC2xC4):15S3288,948

Non-split extensions G=N.Q with N=S3×C2×C4 and Q=S3
extensionφ:Q→Out NdρLabelID
(S3×C2×C4).1S3 = S3×C4.Dic3φ: S3/C3 → C2 ⊆ Out S3×C2×C4484(S3xC2xC4).1S3288,461
(S3×C2×C4).2S3 = C62.11C23φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4).2S3288,489
(S3×C2×C4).3S3 = D6⋊6Dic6φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4).3S3288,504
(S3×C2×C4).4S3 = D6⋊7Dic6φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4).4S3288,505
(S3×C2×C4).5S3 = S3×C4⋊Dic3φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4).5S3288,537
(S3×C2×C4).6S3 = C2×S3×Dic6φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4).6S3288,942
(S3×C2×C4).7S3 = C12.77D12φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4).7S3288,204
(S3×C2×C4).8S3 = C2×D6.Dic3φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4).8S3288,467
(S3×C2×C4).9S3 = D6⋊Dic6φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4).9S3288,499
(S3×C2×C4).10S3 = C62.25C23φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4).10S3288,503
(S3×C2×C4).11S3 = S3×Dic3⋊C4φ: S3/C3 → C2 ⊆ Out S3×C2×C496(S3xC2xC4).11S3288,524
(S3×C2×C4).12S3 = C2×S3×C3⋊C8φ: trivial image96(S3xC2xC4).12S3288,460
(S3×C2×C4).13S3 = C4×S3×Dic3φ: trivial image96(S3xC2xC4).13S3288,523

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