Extensions 1→N→G→Q→1 with N=C₂×C₂²⋊A₄ and Q=C₂

Direct product G=N×Q with N=C₂×C₂²⋊A₄ and Q=C₂

		d	ρ	Label	ID
C₂²×C₂²⋊A₄		12		C2^2xC2^2:A4	192,1540

Semidirect products G=N:Q with N=C₂×C₂²⋊A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₂²⋊A₄)⋊₁C₂ = C₂×C₂⁴⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₂²⋊A₄	12	6+	(C2xC2^2:A4):1C2	192,1000
(C₂×C₂²⋊A₄)⋊₂C₂ = C₂×C₂²⋊S₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₂²⋊A₄	12	6+	(C2xC2^2:A4):2C2	192,1538

Non-split extensions G=N.Q with N=C₂×C₂²⋊A₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₂²⋊A₄).₁C₂ = C₂⁴⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₂²⋊A₄	12	6+	(C2xC2^2:A4).1C2	192,191
(C₂×C₂²⋊A₄).₂C₂ = C₂⁴⋊₄Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₂²⋊A₄	12	6+	(C2xC2^2:A4).2C2	192,1495
(C₂×C₂²⋊A₄).₃C₂ = C₄×C₂²⋊A₄	φ: trivial image	24		(C2xC2^2:A4).3C2	192,1505

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Extensions 1→N→G→Q→1 with N=C2×C22⋊A4 and Q=C2