Extensions 1→N→G→Q→1 with N=C₆xA₄ and Q=C₄

Direct product G=NxQ with N=C₆xA₄ and Q=C₄

		d	ρ	Label	ID
A₄xC₂xC₁₂		72		A4xC2xC12	288,979

Semidirect products G=N:Q with N=C₆xA₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xA₄):₁C₄ = C₆xA₄:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xA₄	72		(C6xA4):1C4	288,905
(C₆xA₄):₂C₄ = C₂xC₆.₇S₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xA₄	72		(C6xA4):2C4	288,916
(C₆xA₄):₃C₄ = C₂xDic₃xA₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xA₄	72		(C6xA4):3C4	288,927

Non-split extensions G=N.Q with N=C₆xA₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆xA₄).₁C₄ = C₃xA₄:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆xA₄	72	3	(C6xA4).1C4	288,398
(C₆xA₄).₂C₄ = C₁₂.₁₂S₄	φ: C₄/C₂ → C₂ ⊆ Out C₆xA₄	72	6	(C6xA4).2C4	288,402
(C₆xA₄).₃C₄ = A₄xC₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆xA₄	72	6	(C6xA4).3C4	288,408
(C₆xA₄).₄C₄ = A₄xC₂₄	φ: trivial image	72	3	(C6xA4).4C4	288,637

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