Extensions 1→N→G→Q→1 with N=C3 and Q=S3xC9

Direct product G=NxQ with N=C3 and Q=S3xC9
dρLabelID
S3xC3xC954S3xC3xC9162,33

Semidirect products G=N:Q with N=C3 and Q=S3xC9
extensionφ:Q→Aut NdρLabelID
C3:(S3xC9) = C9xC3:S3φ: S3xC9/C3xC9C2 ⊆ Aut C354C3:(S3xC9)162,39

Non-split extensions G=N.Q with N=C3 and Q=S3xC9
extensionφ:Q→Aut NdρLabelID
C3.1(S3xC9) = C9xD9φ: S3xC9/C3xC9C2 ⊆ Aut C3182C3.1(S3xC9)162,3
C3.2(S3xC9) = C32:C18φ: S3xC9/C3xC9C2 ⊆ Aut C3186C3.2(S3xC9)162,4
C3.3(S3xC9) = C9:C18φ: S3xC9/C3xC9C2 ⊆ Aut C3186C3.3(S3xC9)162,6
C3.4(S3xC9) = S3xC27central extension (φ=1)542C3.4(S3xC9)162,8

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