Extensions 1→N→G→Q→1 with N=D₄ and Q=F₅

Direct product G=N×Q with N=D₄ and Q=F₅

		d	ρ	Label	ID
D₄×F₅		20	8+	D4xF5	160,207

Semidirect products G=N:Q with N=D₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁F₅ = D₂₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Out D₄	40	8+	D4:1F5	160,82
D₄⋊₂F₅ = D₄⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out D₄	40	8-	D4:2F5	160,83

Non-split extensions G=N.Q with N=D₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.F₅ = D₄.F₅	φ: trivial image	80	8-	D4.F5	160,206

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Extensions 1→N→G→Q→1 with N=D4 and Q=F5