Extensions 1→N→G→Q→1 with N=C₁₀×F₅ and Q=C₂

Direct product G=N×Q with N=C₁₀×F₅ and Q=C₂

		d	ρ	Label	ID
F₅×C₂×C₁₀		80		F5xC2xC10	400,214

Semidirect products G=N:Q with N=C₁₀×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×F₅)⋊₁C₂ = D₅.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×F₅	40	8+	(C10xF5):1C2	400,118
(C₁₀×F₅)⋊₂C₂ = C₅×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×F₅	40	4	(C10xF5):2C2	400,141
(C₁₀×F₅)⋊₃C₂ = C₂×D₅×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×F₅	40	8+	(C10xF5):3C2	400,209

Non-split extensions G=N.Q with N=C₁₀×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×F₅).₁C₂ = D₅.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×F₅	80	8-	(C10xF5).1C2	400,119
(C₁₀×F₅).₂C₂ = C₅×C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×F₅	80	4	(C10xF5).2C2	400,138
(C₁₀×F₅).₃C₂ = Dic₅×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×F₅	80	8-	(C10xF5).3C2	400,117
(C₁₀×F₅).₄C₂ = C₂₀×F₅	φ: trivial image	80	4	(C10xF5).4C2	400,137

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