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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄)⋊₁C₆ = C₃×C₄⋊S₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×A₄	36	6	(C4xA4):1C6	288,898
(C₄×A₄)⋊₂C₆ = C₁₂×S₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×A₄	36	3	(C4xA4):2C6	288,897
(C₄×A₄)⋊₃C₆ = C₃×D₄×A₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×A₄	36	6	(C4xA4):3C6	288,980

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×A₄).₁C₆ = C₃×A₄⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×A₄	72	6	(C4xA4).1C6	288,896
(C₄×A₄).₂C₆ = C₃×A₄⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₄×A₄	72	3	(C4xA4).2C6	288,398
(C₄×A₄).₃C₆ = C₃×Q₈×A₄	φ: C₆/C₃ → C₂ ⊆ Out C₄×A₄	72	6	(C4xA4).3C6	288,982
(C₄×A₄).₄C₆ = A₄×C₂₄	φ: trivial image	72	3	(C4xA4).4C6	288,637

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