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

Direct product G=N×Q with N=C3⋊S3 and Q=C2×C12
dρLabelID
C3⋊S3×C2×C12144C3:S3xC2xC12432,711

Semidirect products G=N:Q with N=C3⋊S3 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
C3⋊S3⋊(C2×C12) = C2×C4×C32⋊C6φ: C2×C12/C2×C4 → C3 ⊆ Out C3⋊S372C3:S3:(C2xC12)432,349
C3⋊S3⋊2(C2×C12) = S32×C12φ: C2×C12/C12 → C2 ⊆ Out C3⋊S3484C3:S3:2(C2xC12)432,648
C3⋊S3⋊3(C2×C12) = C6×C6.D6φ: C2×C12/C2×C6 → C2 ⊆ Out C3⋊S348C3:S3:3(C2xC12)432,654
C3⋊S3⋊4(C2×C12) = C2×C6×C32⋊C4φ: C2×C12/C2×C6 → C2 ⊆ Out C3⋊S348C3:S3:4(C2xC12)432,765

Non-split extensions G=N.Q with N=C3⋊S3 and Q=C2×C12
extensionφ:Q→Out NdρLabelID
C3⋊S3.1(C2×C12) = C6×F9φ: C2×C12/C6 → C4 ⊆ Out C3⋊S3488C3:S3.1(C2xC12)432,751
C3⋊S3.2(C2×C12) = C3×S32⋊C4φ: C2×C12/C6 → C22 ⊆ Out C3⋊S3244C3:S3.2(C2xC12)432,574
C3⋊S3.3(C2×C12) = C3×C3⋊S3.Q8φ: C2×C12/C6 → C22 ⊆ Out C3⋊S3484C3:S3.3(C2xC12)432,575
C3⋊S3.4(C2×C12) = C3×C2.PSU3(𝔽2)φ: C2×C12/C6 → C22 ⊆ Out C3⋊S3488C3:S3.4(C2xC12)432,591
C3⋊S3.5(C2×C12) = C12×C32⋊C4φ: C2×C12/C12 → C2 ⊆ Out C3⋊S3484C3:S3.5(C2xC12)432,630

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