Extensions 1→N→G→Q→1 with N=C₄:F₅ and Q=C₂

Direct product G=NxQ with N=C₄:F₅ and Q=C₂

		d	ρ	Label	ID
C₂xC₄:F₅		40		C2xC4:F5	160,204

Semidirect products G=N:Q with N=C₄:F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:F₅:₁C₂ = D₂₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄:F₅	40	8+	C4:F5:1C2	160,82
C₄:F₅:₂C₂ = D₄xF₅	φ: C₂/C₁ → C₂ ⊆ Out C₄:F₅	20	8+	C4:F5:2C2	160,207
C₄:F₅:₃C₂ = D₁₀.C₂³	φ: trivial image	40	4	C4:F5:3C2	160,205

Non-split extensions G=N.Q with N=C₄:F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:F₅.₁C₂ = Q₈:F₅	φ: C₂/C₁ → C₂ ⊆ Out C₄:F₅	40	8-	C4:F5.1C2	160,84
C₄:F₅.₂C₂ = Q₈xF₅	φ: C₂/C₁ → C₂ ⊆ Out C₄:F₅	40	8-	C4:F5.2C2	160,209
C₄:F₅.₃C₂ = C₄₀:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄:F₅	40	4	C4:F5.3C2	160,68
C₄:F₅.₄C₂ = D₅.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄:F₅	40	4	C4:F5.4C2	160,69

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