Extensions 1→N→G→Q→1 with N=C9 and Q=C3×C6

Direct product G=N×Q with N=C9 and Q=C3×C6
dρLabelID
C32×C18162C3^2xC18162,47

Semidirect products G=N:Q with N=C9 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
C9⋊(C3×C6) = C3×C9⋊C6φ: C3×C6/C3C6 ⊆ Aut C9186C9:(C3xC6)162,36
C92(C3×C6) = C6×3- 1+2φ: C3×C6/C6C3 ⊆ Aut C954C9:2(C3xC6)162,49
C93(C3×C6) = C32×D9φ: C3×C6/C32C2 ⊆ Aut C954C9:3(C3xC6)162,32

Non-split extensions G=N.Q with N=C9 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
C9.1(C3×C6) = C2×C27⋊C3central extension (φ=1)543C9.1(C3xC6)162,27
C9.2(C3×C6) = C2×C9○He3central extension (φ=1)543C9.2(C3xC6)162,50

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