Extensions 1→N→G→Q→1 with N=C₂²xC₃.A₄ and Q=C₂

Direct product G=NxQ with N=C₂²xC₃.A₄ and Q=C₂

		d	ρ	Label	ID
C₂³xC₃.A₄		72		C2^3xC3.A4	288,837

Semidirect products G=N:Q with N=C₂²xC₃.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xC₃.A₄):₁C₂ = D₄xC₃.A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃.A₄	36	6	(C2^2xC3.A4):1C2	288,344
(C₂²xC₃.A₄):₂C₂ = C₂³.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃.A₄	36	6	(C2^2xC3.A4):2C2	288,342
(C₂²xC₃.A₄):₃C₂ = C₂²xC₃.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃.A₄	36		(C2^2xC3.A4):3C2	288,835

Non-split extensions G=N.Q with N=C₂²xC₃.A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xC₃.A₄).C₂ = C₂xC₆.S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xC₃.A₄	72		(C2^2xC3.A4).C2	288,341
(C₂²xC₃.A₄).₂C₂ = C₂xC₄xC₃.A₄	φ: trivial image	72		(C2^2xC3.A4).2C2	288,343

Extensions 1→N→G→Q→1 with N=C22xC3.A4 and Q=C2