Extensions 1→N→G→Q→1 with N=C32 and Q=C2×C18

Direct product G=N×Q with N=C32 and Q=C2×C18
dρLabelID
C3×C6×C18324C3xC6xC18324,151

Semidirect products G=N:Q with N=C32 and Q=C2×C18
extensionφ:Q→Aut NdρLabelID
C32⋊(C2×C18) = C2×C32⋊C18φ: C2×C18/C6 → C6 ⊆ Aut C32366C3^2:(C2xC18)324,62
C32⋊2(C2×C18) = S32×C9φ: C2×C18/C9 → C22 ⊆ Aut C32364C3^2:2(C2xC18)324,115
C32⋊3(C2×C18) = C22×C32⋊C9φ: C2×C18/C2×C6 → C3 ⊆ Aut C32108C3^2:3(C2xC18)324,82
C32⋊4(C2×C18) = S3×C3×C18φ: C2×C18/C18 → C2 ⊆ Aut C32108C3^2:4(C2xC18)324,137
C32⋊5(C2×C18) = C18×C3⋊S3φ: C2×C18/C18 → C2 ⊆ Aut C32108C3^2:5(C2xC18)324,143

Non-split extensions G=N.Q with N=C32 and Q=C2×C18
extensionφ:Q→Aut NdρLabelID
C32.(C2×C18) = C22×C27⋊C3φ: C2×C18/C2×C6 → C3 ⊆ Aut C32108C3^2.(C2xC18)324,85
C32.2(C2×C18) = S3×C54φ: C2×C18/C18 → C2 ⊆ Aut C321082C3^2.2(C2xC18)324,66

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