Extensions 1→N→G→Q→1 with N=A₄⋊C₄ and Q=D₅

Direct product G=N×Q with N=A₄⋊C₄ and Q=D₅

		d	ρ	Label	ID
D₅×A₄⋊C₄		60	6	D5xA4:C4	480,979

Semidirect products G=N:Q with N=A₄⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊C₄⋊D₅ = A₄⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out A₄⋊C₄	60	6+	A4:C4:D5	480,981
A₄⋊C₄⋊₂D₅ = Dic₅⋊₂S₄	φ: trivial image	60	6	A4:C4:2D5	480,977

Non-split extensions G=N.Q with N=A₄⋊C₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
A₄⋊C₄.D₅ = A₄⋊Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out A₄⋊C₄	120	6-	A4:C4.D5	480,975

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Extensions 1→N→G→Q→1 with N=A4⋊C4 and Q=D5