Extensions 1→N→G→Q→1 with N=C₃²×D₉ and Q=C₃

Direct product G=N×Q with N=C₃²×D₉ and Q=C₃

		d	ρ	Label	ID
D₉×C₃³		162		D9xC3^3	486,220

Semidirect products G=N:Q with N=C₃²×D₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₉)⋊₁C₃ = D₉×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₉	54	6	(C3^2xD9):1C3	486,99
(C₃²×D₉)⋊₂C₃ = D₉⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₉	54	6	(C3^2xD9):2C3	486,106
(C₃²×D₉)⋊₃C₃ = C₃²×C₉⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₉	54		(C3^2xD9):3C3	486,224

Non-split extensions G=N.Q with N=C₃²×D₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₉).₁C₃ = D₉×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₉	54	6	(C3^2xD9).1C3	486,101
(C₃²×D₉).₂C₃ = C₃×C₉⋊C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₉	54		(C3^2xD9).2C3	486,96
(C₃²×D₉).₃C₃ = D₉⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₉	54	6	(C3^2xD9).3C3	486,108
(C₃²×D₉).₄C₃ = D₉×C₃×C₉	φ: trivial image	54		(C3^2xD9).4C3	486,91

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