Extensions 1→N→G→Q→1 with N=C9 and Q=S3×C2×C4

Direct product G=N×Q with N=C9 and Q=S3×C2×C4
dρLabelID
S3×C2×C36144S3xC2xC36432,345

Semidirect products G=N:Q with N=C9 and Q=S3×C2×C4
extensionφ:Q→Aut NdρLabelID
C91(S3×C2×C4) = C4×S3×D9φ: S3×C2×C4/C4×S3C2 ⊆ Aut C9724C9:1(S3xC2xC4)432,290
C92(S3×C2×C4) = C2×C18.D6φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C972C9:2(S3xC2xC4)432,306
C93(S3×C2×C4) = C2×C4×C9⋊S3φ: S3×C2×C4/C2×C12C2 ⊆ Aut C9216C9:3(S3xC2xC4)432,381
C94(S3×C2×C4) = C2×S3×Dic9φ: S3×C2×C4/C22×S3C2 ⊆ Aut C9144C9:4(S3xC2xC4)432,308

Non-split extensions G=N.Q with N=C9 and Q=S3×C2×C4
extensionφ:Q→Aut NdρLabelID
C9.(S3×C2×C4) = C2×C4×D27φ: S3×C2×C4/C2×C12C2 ⊆ Aut C9216C9.(S3xC2xC4)432,44

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