# Extensions 1→N→G→Q→1 with N=S3×C12 and Q=C6

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

Semidirect products G=N:Q with N=S3×C12 and Q=C6
extensionφ:Q→Out NdρLabelID
(S3×C12)⋊1C6 = C3×D6.D6φ: C6/C3C2 ⊆ Out S3×C12484(S3xC12):1C6432,646
(S3×C12)⋊2C6 = C3×D125S3φ: C6/C3C2 ⊆ Out S3×C12484(S3xC12):2C6432,643
(S3×C12)⋊3C6 = C3×D6.6D6φ: C6/C3C2 ⊆ Out S3×C12484(S3xC12):3C6432,647
(S3×C12)⋊4C6 = C3×S3×D12φ: C6/C3C2 ⊆ Out S3×C12484(S3xC12):4C6432,649
(S3×C12)⋊5C6 = S3×D4×C32φ: C6/C3C2 ⊆ Out S3×C1272(S3xC12):5C6432,704
(S3×C12)⋊6C6 = C32×D42S3φ: C6/C3C2 ⊆ Out S3×C1272(S3xC12):6C6432,705
(S3×C12)⋊7C6 = C32×Q83S3φ: C6/C3C2 ⊆ Out S3×C12144(S3xC12):7C6432,707
(S3×C12)⋊8C6 = S32×C12φ: C6/C3C2 ⊆ Out S3×C12484(S3xC12):8C6432,648
(S3×C12)⋊9C6 = C32×C4○D12φ: C6/C3C2 ⊆ Out S3×C1272(S3xC12):9C6432,703

Non-split extensions G=N.Q with N=S3×C12 and Q=C6
extensionφ:Q→Out NdρLabelID
(S3×C12).1C6 = C3×D6.Dic3φ: C6/C3C2 ⊆ Out S3×C12484(S3xC12).1C6432,416
(S3×C12).2C6 = S3×D4×C9φ: C6/C3C2 ⊆ Out S3×C12724(S3xC12).2C6432,358
(S3×C12).3C6 = C9×D42S3φ: C6/C3C2 ⊆ Out S3×C12724(S3xC12).3C6432,359
(S3×C12).4C6 = S3×Q8×C9φ: C6/C3C2 ⊆ Out S3×C121444(S3xC12).4C6432,366
(S3×C12).5C6 = C9×Q83S3φ: C6/C3C2 ⊆ Out S3×C121444(S3xC12).5C6432,367
(S3×C12).6C6 = C3×S3×Dic6φ: C6/C3C2 ⊆ Out S3×C12484(S3xC12).6C6432,642
(S3×C12).7C6 = S3×Q8×C32φ: C6/C3C2 ⊆ Out S3×C12144(S3xC12).7C6432,706
(S3×C12).8C6 = C3×S3×C3⋊C8φ: C6/C3C2 ⊆ Out S3×C12484(S3xC12).8C6432,414
(S3×C12).9C6 = C9×C8⋊S3φ: C6/C3C2 ⊆ Out S3×C121442(S3xC12).9C6432,110
(S3×C12).10C6 = C9×C4○D12φ: C6/C3C2 ⊆ Out S3×C12722(S3xC12).10C6432,347
(S3×C12).11C6 = C32×C8⋊S3φ: C6/C3C2 ⊆ Out S3×C12144(S3xC12).11C6432,465
(S3×C12).12C6 = S3×C72φ: trivial image1442(S3xC12).12C6432,109
(S3×C12).13C6 = S3×C2×C36φ: trivial image144(S3xC12).13C6432,345
(S3×C12).14C6 = S3×C3×C24φ: trivial image144(S3xC12).14C6432,464

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