Extensions 1→N→G→Q→1 with N=C₉×A₄ and Q=C₃

Direct product G=N×Q with N=C₉×A₄ and Q=C₃

		d	ρ	Label	ID
A₄×C₃×C₉		108		A4xC3xC9	324,126

Semidirect products G=N:Q with N=C₉×A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×A₄)⋊₁C₃ = C₆².₂₅C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₉×A₄	54	3	(C9xA4):1C3	324,128
(C₉×A₄)⋊₂C₃ = A₄×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₉×A₄	36	9	(C9xA4):2C3	324,131
(C₉×A₄)⋊₃C₃ = C₆².₉C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₉×A₄	54	9	(C9xA4):3C3	324,132

Non-split extensions G=N.Q with N=C₉×A₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×A₄).C₃ = C₂₇⋊A₄	φ: C₃/C₁ → C₃ ⊆ Out C₉×A₄	108	3	(C9xA4).C3	324,43
(C₉×A₄).₂C₃ = A₄×C₂₇	φ: trivial image	108	3	(C9xA4).2C3	324,42

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Extensions 1→N→G→Q→1 with N=C9×A4 and Q=C3