Extensions 1→N→G→Q→1 with N=C₂³×A₄ and Q=C₂

Direct product G=N×Q with N=C₂³×A₄ and Q=C₂

		d	ρ	Label	ID
A₄×C₂⁴		48		A4xC2^4	192,1539

Semidirect products G=N:Q with N=C₂³×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×A₄)⋊₁C₂ = C₂×D₄×A₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×A₄	24		(C2^3xA4):1C2	192,1497
(C₂³×A₄)⋊₂C₂ = C₂×A₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×A₄	24		(C2^3xA4):2C2	192,1488
(C₂³×A₄)⋊₃C₂ = C₂³×S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×A₄	24		(C2^3xA4):3C2	192,1537

Non-split extensions G=N.Q with N=C₂³×A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×A₄).₁C₂ = A₄×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×A₄	24		(C2^3xA4).1C2	192,994
(C₂³×A₄).₂C₂ = C₂⁵.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³×A₄	24		(C2^3xA4).2C2	192,991
(C₂³×A₄).₃C₂ = C₂²×A₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×A₄	48		(C2^3xA4).3C2	192,1487
(C₂³×A₄).₄C₂ = A₄×C₂²×C₄	φ: trivial image	48		(C2^3xA4).4C2	192,1496

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