Extensions 1→N→G→Q→1 with N=C₂²×A₄ and Q=D₅

Direct product G=N×Q with N=C₂²×A₄ and Q=D₅

		d	ρ	Label	ID
C₂²×D₅×A₄		60		C2^2xD5xA4	480,1202

Semidirect products G=N:Q with N=C₂²×A₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₄)⋊₁D₅ = A₄×C₅⋊D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×A₄	60	6	(C2^2xA4):1D5	480,1045
(C₂²×A₄)⋊₂D₅ = C₂⁴⋊₂D₁₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×A₄	60	6	(C2^2xA4):2D5	480,1034
(C₂²×A₄)⋊₃D₅ = C₂²×C₅⋊S₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²×A₄	60		(C2^2xA4):3D5	480,1199

Non-split extensions G=N.Q with N=C₂²×A₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×A₄).D₅ = C₂×A₄⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²×A₄	120		(C2^2xA4).D5	480,1033
(C₂²×A₄).₂D₅ = C₂×A₄×Dic₅	φ: trivial image	120		(C2^2xA4).2D5	480,1044

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Extensions 1→N→G→Q→1 with N=C22×A4 and Q=D5