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

Direct product G=N×Q with N=C₅₄ and Q=C₉

		d	ρ	Label	ID
C₉×C₅₄		486		C9xC54	486,70

Semidirect products G=N:Q with N=C₅₄ and Q=C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₄⋊C₉ = C₂×C₂₇⋊C₉	φ: C₉/C₁ → C₉ ⊆ Aut C₅₄	54	9	C54:C9	486,82
C₅₄⋊₂C₉ = C₂×C₂₇⋊₂C₉	φ: C₉/C₃ → C₃ ⊆ Aut C₅₄	486		C54:2C9	486,71

Non-split extensions G=N.Q with N=C₅₄ and Q=C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₄.C₉ = C₂×C₈₁⋊C₃	φ: C₉/C₃ → C₃ ⊆ Aut C₅₄	162	3	C54.C9	486,84

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