Extensions 1→N→G→Q→1 with N=D₈ and Q=F₅

Direct product G=N×Q with N=D₈ and Q=F₅

		d	ρ	Label	ID
D₈×F₅		40	8+	D8xF5	320,1068

Semidirect products G=N:Q with N=D₈ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁F₅ = D₅.D₁₆	φ: F₅/D₅ → C₂ ⊆ Out D₈	80	8+	D8:1F5	320,242
D₈⋊₂F₅ = D₁₀.D₈	φ: F₅/D₅ → C₂ ⊆ Out D₈	80	8-	D8:2F5	320,241
D₈⋊₃F₅ = D₄₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Out D₈	40	8+	D8:3F5	320,1069
D₈⋊₄F₅ = D₈⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out D₈	80	8-	D8:4F5	320,1071
D₈⋊₅F₅ = D₈⋊₅F₅	φ: trivial image	80	8-	D8:5F5	320,1070

Non-split extensions G=N.Q with N=D₈ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁F₅ = D₈.F₅	φ: F₅/D₅ → C₂ ⊆ Out D₈	160	8-	D8.1F5	320,243
D₈.₂F₅ = D₄₀.C₄	φ: F₅/D₅ → C₂ ⊆ Out D₈	80	8+	D8.2F5	320,244

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