Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C9⋊S3

Direct product G=N×Q with N=C3 and Q=C2×C9⋊S3
dρLabelID
C6×C9⋊S3108C6xC9:S3324,142

Semidirect products G=N:Q with N=C3 and Q=C2×C9⋊S3
extensionφ:Q→Aut NdρLabelID
C31(C2×C9⋊S3) = S3×C9⋊S3φ: C2×C9⋊S3/C9⋊S3C2 ⊆ Aut C354C3:1(C2xC9:S3)324,120
C32(C2×C9⋊S3) = C2×C324D9φ: C2×C9⋊S3/C3×C18C2 ⊆ Aut C3162C3:2(C2xC9:S3)324,149

Non-split extensions G=N.Q with N=C3 and Q=C2×C9⋊S3
extensionφ:Q→Aut NdρLabelID
C3.1(C2×C9⋊S3) = C2×C9⋊D9φ: C2×C9⋊S3/C3×C18C2 ⊆ Aut C3162C3.1(C2xC9:S3)324,74
C3.2(C2×C9⋊S3) = C2×C27⋊S3φ: C2×C9⋊S3/C3×C18C2 ⊆ Aut C3162C3.2(C2xC9:S3)324,76
C3.3(C2×C9⋊S3) = C2×C322D9central stem extension (φ=1)366C3.3(C2xC9:S3)324,75

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