Extensions 1→N→G→Q→1 with N=C₆×A₄ and Q=C₄

Direct product G=N×Q with N=C₆×A₄ and Q=C₄

		d	ρ	Label	ID
A₄×C₂×C₁₂		72		A4xC2xC12	288,979

Semidirect products G=N:Q with N=C₆×A₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×A₄)⋊₁C₄ = C₆×A₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₆×A₄	72		(C6xA4):1C4	288,905
(C₆×A₄)⋊₂C₄ = C₂×C₆.₇S₄	φ: C₄/C₂ → C₂ ⊆ Out C₆×A₄	72		(C6xA4):2C4	288,916
(C₆×A₄)⋊₃C₄ = C₂×Dic₃×A₄	φ: C₄/C₂ → C₂ ⊆ Out C₆×A₄	72		(C6xA4):3C4	288,927

Non-split extensions G=N.Q with N=C₆×A₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×A₄).₁C₄ = C₃×A₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆×A₄	72	3	(C6xA4).1C4	288,398
(C₆×A₄).₂C₄ = C₁₂.₁₂S₄	φ: C₄/C₂ → C₂ ⊆ Out C₆×A₄	72	6	(C6xA4).2C4	288,402
(C₆×A₄).₃C₄ = A₄×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₆×A₄	72	6	(C6xA4).3C4	288,408
(C₆×A₄).₄C₄ = A₄×C₂₄	φ: trivial image	72	3	(C6xA4).4C4	288,637

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