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

Direct product G=N×Q with N=S3×C12 and Q=S3
dρLabelID
S32×C12484S3^2xC12432,648

Semidirect products G=N:Q with N=S3×C12 and Q=S3
extensionφ:Q→Out NdρLabelID
(S3×C12)⋊1S3 = C12.73S32φ: S3/C3C2 ⊆ Out S3×C1272(S3xC12):1S3432,667
(S3×C12)⋊2S3 = C3×D125S3φ: S3/C3C2 ⊆ Out S3×C12484(S3xC12):2S3432,643
(S3×C12)⋊3S3 = C3×D6.6D6φ: S3/C3C2 ⊆ Out S3×C12484(S3xC12):3S3432,647
(S3×C12)⋊4S3 = C3×S3×D12φ: S3/C3C2 ⊆ Out S3×C12484(S3xC12):4S3432,649
(S3×C12)⋊5S3 = C12.57S32φ: S3/C3C2 ⊆ Out S3×C12144(S3xC12):5S3432,668
(S3×C12)⋊6S3 = C12.58S32φ: S3/C3C2 ⊆ Out S3×C1272(S3xC12):6S3432,669
(S3×C12)⋊7S3 = S3×C12⋊S3φ: S3/C3C2 ⊆ Out S3×C1272(S3xC12):7S3432,671
(S3×C12)⋊8S3 = C4×S3×C3⋊S3φ: S3/C3C2 ⊆ Out S3×C1272(S3xC12):8S3432,670
(S3×C12)⋊9S3 = C3×D6.D6φ: S3/C3C2 ⊆ Out S3×C12484(S3xC12):9S3432,646

Non-split extensions G=N.Q with N=S3×C12 and Q=S3
extensionφ:Q→Out NdρLabelID
(S3×C12).1S3 = D6.Dic9φ: S3/C3C2 ⊆ Out S3×C121444(S3xC12).1S3432,67
(S3×C12).2S3 = D6.D18φ: S3/C3C2 ⊆ Out S3×C12724(S3xC12).2S3432,287
(S3×C12).3S3 = C337M4(2)φ: S3/C3C2 ⊆ Out S3×C12144(S3xC12).3S3432,433
(S3×C12).4S3 = S3×Dic18φ: S3/C3C2 ⊆ Out S3×C121444-(S3xC12).4S3432,284
(S3×C12).5S3 = D365S3φ: S3/C3C2 ⊆ Out S3×C121444-(S3xC12).5S3432,288
(S3×C12).6S3 = Dic9.D6φ: S3/C3C2 ⊆ Out S3×C12724+(S3xC12).6S3432,289
(S3×C12).7S3 = S3×D36φ: S3/C3C2 ⊆ Out S3×C12724+(S3xC12).7S3432,291
(S3×C12).8S3 = C3×S3×Dic6φ: S3/C3C2 ⊆ Out S3×C12484(S3xC12).8S3432,642
(S3×C12).9S3 = S3×C324Q8φ: S3/C3C2 ⊆ Out S3×C12144(S3xC12).9S3432,660
(S3×C12).10S3 = S3×C9⋊C8φ: S3/C3C2 ⊆ Out S3×C121444(S3xC12).10S3432,66
(S3×C12).11S3 = C4×S3×D9φ: S3/C3C2 ⊆ Out S3×C12724(S3xC12).11S3432,290
(S3×C12).12S3 = S3×C324C8φ: S3/C3C2 ⊆ Out S3×C12144(S3xC12).12S3432,430
(S3×C12).13S3 = C3×D6.Dic3φ: S3/C3C2 ⊆ Out S3×C12484(S3xC12).13S3432,416
(S3×C12).14S3 = C3×S3×C3⋊C8φ: trivial image484(S3xC12).14S3432,414

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