Extensions 1→N→G→Q→1 with N=C₂²×A₄ and Q=C₄

Direct product G=N×Q with N=C₂²×A₄ and Q=C₄

		d	ρ	Label	ID
A₄×C₂²×C₄		48		A4xC2^2xC4	192,1496

Semidirect products G=N:Q with N=C₂²×A₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₄)⋊₁C₄ = A₄×C₂²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×A₄	24		(C2^2xA4):1C4	192,994
(C₂²×A₄)⋊₂C₄ = C₂⁵.S₃	φ: C₄/C₂ → C₂ ⊆ Out C₂²×A₄	24		(C2^2xA4):2C4	192,991
(C₂²×A₄)⋊₃C₄ = C₂²×A₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×A₄	48		(C2^2xA4):3C4	192,1487

Non-split extensions G=N.Q with N=C₂²×A₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₄).₁C₄ = A₄×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂²×A₄	24	6	(C2^2xA4).1C4	192,1011
(C₂²×A₄).₂C₄ = C₂×A₄⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×A₄	48		(C2^2xA4).2C4	192,967
(C₂²×A₄).₃C₄ = A₄⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂²×A₄	24	6	(C2^2xA4).3C4	192,968
(C₂²×A₄).₄C₄ = A₄×C₂×C₈	φ: trivial image	48		(C2^2xA4).4C4	192,1010

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