Extensions 1→N→G→Q→1 with N=C₂×A₄ and Q=Dic₅

Direct product G=N×Q with N=C₂×A₄ and Q=Dic₅

		d	ρ	Label	ID
C₂×A₄×Dic₅		120		C2xA4xDic5	480,1044

Semidirect products G=N:Q with N=C₂×A₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄)⋊Dic₅ = C₂×A₄⋊Dic₅	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×A₄	120		(C2xA4):Dic5	480,1033

Non-split extensions G=N.Q with N=C₂×A₄ and Q=Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×A₄).Dic₅ = C₂₀.S₄	φ: Dic₅/C₁₀ → C₂ ⊆ Out C₂×A₄	120	6	(C2xA4).Dic5	480,259
(C₂×A₄).₂Dic₅ = A₄×C₅⋊₂C₈	φ: trivial image	120	6	(C2xA4).2Dic5	480,265

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Extensions 1→N→G→Q→1 with N=C2×A4 and Q=Dic5