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

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

		d	ρ	Label	ID
C₃²×C₉⋊S₃		54		C3^2xC9:S3	486,227

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₉⋊S₃)⋊₁C₃ = C₃×C₃²⋊D₉	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊S₃	54		(C3xC9:S3):1C3	486,94
(C₃×C₉⋊S₃)⋊₂C₃ = C₃×He₃.S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊S₃	54	6	(C3xC9:S3):2C3	486,119
(C₃×C₉⋊S₃)⋊₃C₃ = C₃×He₃.₂S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊S₃	54	6	(C3xC9:S3):3C3	486,122
(C₃×C₉⋊S₃)⋊₄C₃ = C₃×C₃³.S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊S₃	54		(C3xC9:S3):4C3	486,232
(C₃×C₉⋊S₃)⋊₅C₃ = C₃×He₃.₄S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊S₃	54	6	(C3xC9:S3):5C3	486,234

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₉⋊S₃).₁C₃ = C₉⋊S₃⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊S₃	54		(C3xC9:S3).1C3	486,3
(C₃×C₉⋊S₃).₂C₃ = (C₃×C₉)⋊C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊S₃	54	6	(C3xC9:S3).2C3	486,20
(C₃×C₉⋊S₃).₃C₃ = C₉⋊S₃⋊₃C₉	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊S₃	54	6	(C3xC9:S3).3C3	486,22
(C₃×C₉⋊S₃).₄C₃ = C₉⋊(S₃×C₉)	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊S₃	54		(C3xC9:S3).4C3	486,138
(C₃×C₉⋊S₃).₅C₃ = C₉²⋊₃S₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₉⋊S₃	54	6	(C3xC9:S3).5C3	486,139
(C₃×C₉⋊S₃).₆C₃ = C₉×C₉⋊S₃	φ: trivial image	54		(C3xC9:S3).6C3	486,133

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