# Extensions 1→N→G→Q→1 with N=S3×C12 and Q=C4

Direct product G=N×Q with N=S3×C12 and Q=C4
dρLabelID
S3×C4×C1296S3xC4xC12288,642

Semidirect products G=N:Q with N=S3×C12 and Q=C4
extensionφ:Q→Out NdρLabelID
(S3×C12)⋊1C4 = C62.25C23φ: C4/C2C2 ⊆ Out S3×C1296(S3xC12):1C4288,503
(S3×C12)⋊2C4 = C62.11C23φ: C4/C2C2 ⊆ Out S3×C1296(S3xC12):2C4288,489
(S3×C12)⋊3C4 = S3×C4⋊Dic3φ: C4/C2C2 ⊆ Out S3×C1296(S3xC12):3C4288,537
(S3×C12)⋊4C4 = C3×S3×C4⋊C4φ: C4/C2C2 ⊆ Out S3×C1296(S3xC12):4C4288,662
(S3×C12)⋊5C4 = C3×C4⋊C47S3φ: C4/C2C2 ⊆ Out S3×C1296(S3xC12):5C4288,663
(S3×C12)⋊6C4 = C4×S3×Dic3φ: C4/C2C2 ⊆ Out S3×C1296(S3xC12):6C4288,523
(S3×C12)⋊7C4 = C3×C422S3φ: C4/C2C2 ⊆ Out S3×C1296(S3xC12):7C4288,643

Non-split extensions G=N.Q with N=S3×C12 and Q=C4
extensionφ:Q→Out NdρLabelID
(S3×C12).1C4 = C24.61D6φ: C4/C2C2 ⊆ Out S3×C12964(S3xC12).1C4288,191
(S3×C12).2C4 = C2×D6.Dic3φ: C4/C2C2 ⊆ Out S3×C1296(S3xC12).2C4288,467
(S3×C12).3C4 = S3×C4.Dic3φ: C4/C2C2 ⊆ Out S3×C12484(S3xC12).3C4288,461
(S3×C12).4C4 = C3×S3×M4(2)φ: C4/C2C2 ⊆ Out S3×C12484(S3xC12).4C4288,677
(S3×C12).5C4 = S3×C3⋊C16φ: C4/C2C2 ⊆ Out S3×C12964(S3xC12).5C4288,189
(S3×C12).6C4 = C2×S3×C3⋊C8φ: C4/C2C2 ⊆ Out S3×C1296(S3xC12).6C4288,460
(S3×C12).7C4 = C3×D6.C8φ: C4/C2C2 ⊆ Out S3×C12962(S3xC12).7C4288,232
(S3×C12).8C4 = C6×C8⋊S3φ: C4/C2C2 ⊆ Out S3×C1296(S3xC12).8C4288,671
(S3×C12).9C4 = S3×C48φ: trivial image962(S3xC12).9C4288,231
(S3×C12).10C4 = S3×C2×C24φ: trivial image96(S3xC12).10C4288,670

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