Extensions 1→N→G→Q→1 with N=C9 and Q=C54

Direct product G=N×Q with N=C9 and Q=C54
dρLabelID
C9×C54486C9xC54486,70

Semidirect products G=N:Q with N=C9 and Q=C54
extensionφ:Q→Aut NdρLabelID
C9⋊C54 = C9⋊C54φ: C54/C9C6 ⊆ Aut C9546C9:C54486,30
C92C54 = C2×C9⋊C27φ: C54/C18C3 ⊆ Aut C9486C9:2C54486,81
C93C54 = D9×C27φ: C54/C27C2 ⊆ Aut C9542C9:3C54486,14

Non-split extensions G=N.Q with N=C9 and Q=C54
extensionφ:Q→Aut NdρLabelID
C9.C54 = C2×C81⋊C3φ: C54/C18C3 ⊆ Aut C91623C9.C54486,84

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