Extensions 1→N→G→Q→1 with N=Dic₅ and Q=F₅

Direct product G=N×Q with N=Dic₅ and Q=F₅

		d	ρ	Label	ID
Dic₅×F₅		80	8-	Dic5xF5	400,117

Semidirect products G=N:Q with N=Dic₅ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁F₅ = D₅.Dic₁₀	φ: F₅/D₅ → C₂ ⊆ Out Dic₅	80	8-	Dic5:1F5	400,119
Dic₅⋊₂F₅ = C₅²⋊₃C₄²	φ: F₅/D₅ → C₂ ⊆ Out Dic₅	20	8+	Dic5:2F5	400,124
Dic₅⋊₃F₅ = Dic₅⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out Dic₅	20	8+	Dic5:3F5	400,126

Non-split extensions G=N.Q with N=Dic₅ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁F₅ = Dic₅.F₅	φ: F₅/D₅ → C₂ ⊆ Out Dic₅	40	8+	Dic5.1F5	400,123
Dic₅.₂F₅ = D₁₀.₂F₅	φ: F₅/D₅ → C₂ ⊆ Out Dic₅	80	8-	Dic5.2F5	400,127
Dic₅.₃F₅ = C₅²⋊₄M₄(2)	φ: F₅/D₅ → C₂ ⊆ Out Dic₅	80	8-	Dic5.3F5	400,128
Dic₅.₄F₅ = Dic₅.₄F₅	φ: trivial image	40	8+	Dic5.4F5	400,121

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