Extensions 1→N→G→Q→1 with N=C₂³⋊F₅ and Q=C₂

Direct product G=N×Q with N=C₂³⋊F₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³⋊F₅		80		C2xC2^3:F5	320,1134

Semidirect products G=N:Q with N=C₂³⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊F₅⋊₁C₂ = C₅⋊C₂≀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊F₅	40	8+	C2^3:F5:1C2	320,202
C₂³⋊F₅⋊₂C₂ = C₂⁴⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊F₅	40	4	C2^3:F5:2C2	320,272
C₂³⋊F₅⋊₃C₂ = (C₂×D₄)⋊₇F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊F₅	40	8+	C2^3:F5:3C2	320,1108
C₂³⋊F₅⋊₄C₂ = (C₂×D₄)⋊₈F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊F₅	80	8-	C2^3:F5:4C2	320,1109
C₂³⋊F₅⋊₅C₂ = C₂³⋊F₅⋊₅C₂	φ: trivial image	80	4	C2^3:F5:5C2	320,1083

Non-split extensions G=N.Q with N=C₂³⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊F₅.₁C₂ = C₂²⋊C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊F₅	80	8-	C2^3:F5.1C2	320,203
C₂³⋊F₅.₂C₂ = (C₂²×C₄)⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊F₅	80	4	C2^3:F5.2C2	320,254

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