Extensions 1→N→G→Q→1 with N=C3 and Q=C3×D9

Direct product G=N×Q with N=C3 and Q=C3×D9
dρLabelID
C32×D954C3^2xD9162,32

Semidirect products G=N:Q with N=C3 and Q=C3×D9
extensionφ:Q→Aut NdρLabelID
C3⋊(C3×D9) = C3×C9⋊S3φ: C3×D9/C3×C9C2 ⊆ Aut C354C3:(C3xD9)162,38

Non-split extensions G=N.Q with N=C3 and Q=C3×D9
extensionφ:Q→Aut NdρLabelID
C3.1(C3×D9) = C32⋊D9φ: C3×D9/C3×C9C2 ⊆ Aut C327C3.1(C3xD9)162,5
C3.2(C3×D9) = C3×D27φ: C3×D9/C3×C9C2 ⊆ Aut C3542C3.2(C3xD9)162,7
C3.3(C3×D9) = C27⋊C6φ: C3×D9/C3×C9C2 ⊆ Aut C3276+C3.3(C3xD9)162,9
C3.4(C3×D9) = C9×D9central extension (φ=1)182C3.4(C3xD9)162,3

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