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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊C₅₄ = C₉⋊C₅₄	φ: C₅₄/C₉ → C₆ ⊆ Aut C₉	54	6	C9:C54	486,30
C₉⋊₂C₅₄ = C₂×C₉⋊C₂₇	φ: C₅₄/C₁₈ → C₃ ⊆ Aut C₉	486		C9:2C54	486,81
C₉⋊₃C₅₄ = D₉×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₉	54	2	C9:3C54	486,14

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.C₅₄ = C₂×C₈₁⋊C₃	φ: C₅₄/C₁₈ → C₃ ⊆ Aut C₉	162	3	C9.C54	486,84

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