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Extensions 1→N→G→Q→1 with N=S3×C3×C12 and Q=C2

Direct product G=N×Q with N=S3×C3×C12 and Q=C2
dρLabelID
S3×C6×C12144S3xC6xC12432,701

Semidirect products G=N:Q with N=S3×C3×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C3×C12)⋊1C2 = C12.73S32φ: C2/C1 → C2 ⊆ Out S3×C3×C1272(S3xC3xC12):1C2432,667
(S3×C3×C12)⋊2C2 = C3×D12⋊5S3φ: C2/C1 → C2 ⊆ Out S3×C3×C12484(S3xC3xC12):2C2432,643
(S3×C3×C12)⋊3C2 = C3×D6.D6φ: C2/C1 → C2 ⊆ Out S3×C3×C12484(S3xC3xC12):3C2432,646
(S3×C3×C12)⋊4C2 = C3×D6.6D6φ: C2/C1 → C2 ⊆ Out S3×C3×C12484(S3xC3xC12):4C2432,647
(S3×C3×C12)⋊5C2 = C3×S3×D12φ: C2/C1 → C2 ⊆ Out S3×C3×C12484(S3xC3xC12):5C2432,649
(S3×C3×C12)⋊6C2 = C12.57S32φ: C2/C1 → C2 ⊆ Out S3×C3×C12144(S3xC3xC12):6C2432,668
(S3×C3×C12)⋊7C2 = C12.58S32φ: C2/C1 → C2 ⊆ Out S3×C3×C1272(S3xC3xC12):7C2432,669
(S3×C3×C12)⋊8C2 = S3×C12⋊S3φ: C2/C1 → C2 ⊆ Out S3×C3×C1272(S3xC3xC12):8C2432,671
(S3×C3×C12)⋊9C2 = S3×D4×C32φ: C2/C1 → C2 ⊆ Out S3×C3×C1272(S3xC3xC12):9C2432,704
(S3×C3×C12)⋊10C2 = C32×D4⋊2S3φ: C2/C1 → C2 ⊆ Out S3×C3×C1272(S3xC3xC12):10C2432,705
(S3×C3×C12)⋊11C2 = C32×Q8⋊3S3φ: C2/C1 → C2 ⊆ Out S3×C3×C12144(S3xC3xC12):11C2432,707
(S3×C3×C12)⋊12C2 = S32×C12φ: C2/C1 → C2 ⊆ Out S3×C3×C12484(S3xC3xC12):12C2432,648
(S3×C3×C12)⋊13C2 = C4×S3×C3⋊S3φ: C2/C1 → C2 ⊆ Out S3×C3×C1272(S3xC3xC12):13C2432,670
(S3×C3×C12)⋊14C2 = C32×C4○D12φ: C2/C1 → C2 ⊆ Out S3×C3×C1272(S3xC3xC12):14C2432,703

Non-split extensions G=N.Q with N=S3×C3×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C3×C12).1C2 = C33⋊7M4(2)φ: C2/C1 → C2 ⊆ Out S3×C3×C12144(S3xC3xC12).1C2432,433
(S3×C3×C12).2C2 = C3×D6.Dic3φ: C2/C1 → C2 ⊆ Out S3×C3×C12484(S3xC3xC12).2C2432,416
(S3×C3×C12).3C2 = C3×S3×Dic6φ: C2/C1 → C2 ⊆ Out S3×C3×C12484(S3xC3xC12).3C2432,642
(S3×C3×C12).4C2 = S3×C32⋊4Q8φ: C2/C1 → C2 ⊆ Out S3×C3×C12144(S3xC3xC12).4C2432,660
(S3×C3×C12).5C2 = S3×Q8×C32φ: C2/C1 → C2 ⊆ Out S3×C3×C12144(S3xC3xC12).5C2432,706
(S3×C3×C12).6C2 = C3×S3×C3⋊C8φ: C2/C1 → C2 ⊆ Out S3×C3×C12484(S3xC3xC12).6C2432,414
(S3×C3×C12).7C2 = S3×C32⋊4C8φ: C2/C1 → C2 ⊆ Out S3×C3×C12144(S3xC3xC12).7C2432,430
(S3×C3×C12).8C2 = C32×C8⋊S3φ: C2/C1 → C2 ⊆ Out S3×C3×C12144(S3xC3xC12).8C2432,465
(S3×C3×C12).9C2 = S3×C3×C24φ: trivial image144(S3xC3xC12).9C2432,464

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