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

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

		d	ρ	Label	ID
C₃⋊S₃×C₃×C₉		54		C3:S3xC3xC9	486,228

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₃⋊S₃)⋊₁C₃ = C₉×C₃²⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₉×C₃⋊S₃	54	6	(C9xC3:S3):1C3	486,98
(C₉×C₃⋊S₃)⋊₂C₃ = C₉⋊He₃⋊C₂	φ: C₃/C₁ → C₃ ⊆ Out C₉×C₃⋊S₃	54	6	(C9xC3:S3):2C3	486,107
(C₉×C₃⋊S₃)⋊₃C₃ = C₃⋊S₃×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₉×C₃⋊S₃	54		(C9xC3:S3):3C3	486,233

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₃⋊S₃).C₃ = C₃²⋊C₅₄	φ: C₃/C₁ → C₃ ⊆ Out C₉×C₃⋊S₃	54	6	(C9xC3:S3).C3	486,16
(C₉×C₃⋊S₃).₂C₃ = C₃⋊S₃×C₂₇	φ: trivial image	162		(C9xC3:S3).2C3	486,161

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