Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=F₅

Direct product G=N×Q with N=Q₁₆ and Q=F₅

		d	ρ	Label	ID
Q₁₆×F₅		80	8-	Q16xF5	320,1076

Semidirect products G=N:Q with N=Q₁₆ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆⋊₁F₅ = D₅.Q₃₂	φ: F₅/D₅ → C₂ ⊆ Out Q₁₆	80	8-	Q16:1F5	320,246
Q₁₆⋊₂F₅ = D₄₀⋊₁C₄	φ: F₅/D₅ → C₂ ⊆ Out Q₁₆	80	8+	Q16:2F5	320,245
Q₁₆⋊₃F₅ = Dic₂₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Out Q₁₆	80	8-	Q16:3F5	320,1077
Q₁₆⋊₄F₅ = Q₁₆⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out Q₁₆	80	8+	Q16:4F5	320,1079
Q₁₆⋊₅F₅ = Q₁₆⋊₅F₅	φ: trivial image	80	8+	Q16:5F5	320,1078

Non-split extensions G=N.Q with N=Q₁₆ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.₁F₅ = Q₁₆.F₅	φ: F₅/D₅ → C₂ ⊆ Out Q₁₆	160	8+	Q16.1F5	320,247
Q₁₆.₂F₅ = Dic₂₀.C₄	φ: F₅/D₅ → C₂ ⊆ Out Q₁₆	160	8-	Q16.2F5	320,248

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