Extensions 1→N→G→Q→1 with N=S₃×C₃×C₉ and Q=C₃

Direct product G=N×Q with N=S₃×C₃×C₉ and Q=C₃

		d	ρ	Label	ID
S₃×C₃²×C₉		162		S3xC3^2xC9	486,221

Semidirect products G=N:Q with N=S₃×C₃×C₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃×C₉)⋊₁C₃ = S₃×C₃²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃×C₉	54		(S3xC3xC9):1C3	486,95
(S₃×C₃×C₉)⋊₂C₃ = S₃×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃×C₉	54	6	(S3xC3xC9):2C3	486,120
(S₃×C₃×C₉)⋊₃C₃ = S₃×He₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃×C₉	54	6	(S3xC3xC9):3C3	486,123
(S₃×C₃×C₉)⋊₄C₃ = C₃×S₃×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃×C₉	54		(S3xC3xC9):4C3	486,225
(S₃×C₃×C₉)⋊₅C₃ = S₃×C₉○He₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃×C₉	54	6	(S3xC3xC9):5C3	486,226

Non-split extensions G=N.Q with N=S₃×C₃×C₉ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃×C₉).₁C₃ = S₃×C₉⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃×C₉	162		(S3xC3xC9).1C3	486,97
(S₃×C₃×C₉).₂C₃ = S₃×C₃.He₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃×C₉	54	6	(S3xC3xC9).2C3	486,124
(S₃×C₃×C₉).₃C₃ = S₃×C₂₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×C₃×C₉	54	6	(S3xC3xC9).3C3	486,114
(S₃×C₃×C₉).₄C₃ = S₃×C₉²	φ: trivial image	162		(S3xC3xC9).4C3	486,92
(S₃×C₃×C₉).₅C₃ = S₃×C₃×C₂₇	φ: trivial image	162		(S3xC3xC9).5C3	486,112

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