Extensions 1→N→G→Q→1 with N=C₉xA₄ and Q=C₃

Direct product G=NxQ with N=C₉xA₄ and Q=C₃

		d	ρ	Label	ID
A₄xC₃xC₉		108		A4xC3xC9	324,126

Semidirect products G=N:Q with N=C₉xA₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉xA₄):₁C₃ = C₆².₂₅C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₉xA₄	54	3	(C9xA4):1C3	324,128
(C₉xA₄):₂C₃ = A₄x3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₉xA₄	36	9	(C9xA4):2C3	324,131
(C₉xA₄):₃C₃ = C₆².₉C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₉xA₄	54	9	(C9xA4):3C3	324,132

Non-split extensions G=N.Q with N=C₉xA₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉xA₄).C₃ = C₂₇:A₄	φ: C₃/C₁ → C₃ ⊆ Out C₉xA₄	108	3	(C9xA4).C3	324,43
(C₉xA₄).₂C₃ = A₄xC₂₇	φ: trivial image	108	3	(C9xA4).2C3	324,42

Extensions 1→N→G→Q→1 with N=C9xA4 and Q=C3