Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C2×C4

Direct product G=N×Q with N=C3 and Q=S3×C2×C4
dρLabelID
S3×C2×C1248S3xC2xC12144,159

Semidirect products G=N:Q with N=C3 and Q=S3×C2×C4
extensionφ:Q→Aut NdρLabelID
C31(S3×C2×C4) = C4×S32φ: S3×C2×C4/C4×S3C2 ⊆ Aut C3244C3:1(S3xC2xC4)144,143
C32(S3×C2×C4) = C2×C6.D6φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C324C3:2(S3xC2xC4)144,149
C33(S3×C2×C4) = C2×C4×C3⋊S3φ: S3×C2×C4/C2×C12C2 ⊆ Aut C372C3:3(S3xC2xC4)144,169
C34(S3×C2×C4) = C2×S3×Dic3φ: S3×C2×C4/C22×S3C2 ⊆ Aut C348C3:4(S3xC2xC4)144,146

Non-split extensions G=N.Q with N=C3 and Q=S3×C2×C4
extensionφ:Q→Aut NdρLabelID
C3.(S3×C2×C4) = C2×C4×D9φ: S3×C2×C4/C2×C12C2 ⊆ Aut C372C3.(S3xC2xC4)144,38

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