Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=C2×C6

Direct product G=N×Q with N=C3⋊S3 and Q=C2×C6
dρLabelID
C2×C6×C3⋊S372C2xC6xC3:S3216,175

Semidirect products G=N:Q with N=C3⋊S3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C3⋊S3⋊(C2×C6) = C22×C32⋊C6φ: C2×C6/C22C3 ⊆ Out C3⋊S336C3:S3:(C2xC6)216,110
C3⋊S32(C2×C6) = S32×C6φ: C2×C6/C6C2 ⊆ Out C3⋊S3244C3:S3:2(C2xC6)216,170

Non-split extensions G=N.Q with N=C3⋊S3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
C3⋊S3.1(C2×C6) = C3×S3≀C2φ: C2×C6/C3C22 ⊆ Out C3⋊S3124C3:S3.1(C2xC6)216,157
C3⋊S3.2(C2×C6) = C3×PSU3(𝔽2)φ: C2×C6/C3C22 ⊆ Out C3⋊S3248C3:S3.2(C2xC6)216,160
C3⋊S3.3(C2×C6) = C6×C32⋊C4φ: C2×C6/C6C2 ⊆ Out C3⋊S3244C3:S3.3(C2xC6)216,168

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