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

Direct product G=N×Q with N=S3×C12 and Q=C2
dρLabelID
S3×C2×C1248S3xC2xC12144,159

Semidirect products G=N:Q with N=S3×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C12)⋊1C2 = D6.D6φ: C2/C1C2 ⊆ Out S3×C12244(S3xC12):1C2144,141
(S3×C12)⋊2C2 = D125S3φ: C2/C1C2 ⊆ Out S3×C12484-(S3xC12):2C2144,138
(S3×C12)⋊3C2 = D6.6D6φ: C2/C1C2 ⊆ Out S3×C12244+(S3xC12):3C2144,142
(S3×C12)⋊4C2 = S3×D12φ: C2/C1C2 ⊆ Out S3×C12244+(S3xC12):4C2144,144
(S3×C12)⋊5C2 = C3×S3×D4φ: C2/C1C2 ⊆ Out S3×C12244(S3xC12):5C2144,162
(S3×C12)⋊6C2 = C3×D42S3φ: C2/C1C2 ⊆ Out S3×C12244(S3xC12):6C2144,163
(S3×C12)⋊7C2 = C3×Q83S3φ: C2/C1C2 ⊆ Out S3×C12484(S3xC12):7C2144,165
(S3×C12)⋊8C2 = C4×S32φ: C2/C1C2 ⊆ Out S3×C12244(S3xC12):8C2144,143
(S3×C12)⋊9C2 = C3×C4○D12φ: C2/C1C2 ⊆ Out S3×C12242(S3xC12):9C2144,161

Non-split extensions G=N.Q with N=S3×C12 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C12).1C2 = D6.Dic3φ: C2/C1C2 ⊆ Out S3×C12484(S3xC12).1C2144,54
(S3×C12).2C2 = S3×Dic6φ: C2/C1C2 ⊆ Out S3×C12484-(S3xC12).2C2144,137
(S3×C12).3C2 = C3×S3×Q8φ: C2/C1C2 ⊆ Out S3×C12484(S3xC12).3C2144,164
(S3×C12).4C2 = S3×C3⋊C8φ: C2/C1C2 ⊆ Out S3×C12484(S3xC12).4C2144,52
(S3×C12).5C2 = C3×C8⋊S3φ: C2/C1C2 ⊆ Out S3×C12482(S3xC12).5C2144,70
(S3×C12).6C2 = S3×C24φ: trivial image482(S3xC12).6C2144,69

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