Extensions 1→N→G→Q→1 with N=Q₈⋊F₅ and Q=C₂

Direct product G=N×Q with N=Q₈⋊F₅ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈⋊F₅		80		C2xQ8:F5	320,1119

Semidirect products G=N:Q with N=Q₈⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊F₅⋊₁C₂ = SD₁₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊F₅	40	8	Q8:F5:1C2	320,1072
Q₈⋊F₅⋊₂C₂ = SD₁₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊F₅	40	8	Q8:F5:2C2	320,1073
Q₈⋊F₅⋊₃C₂ = (C₂×Q₈)⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊F₅	80	8-	Q8:F5:3C2	320,1120
Q₈⋊F₅⋊₄C₂ = C₄○D₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊F₅	40	8	Q8:F5:4C2	320,1131
Q₈⋊F₅⋊₅C₂ = C₄○D₂₀⋊C₄	φ: trivial image	80	8	Q8:F5:5C2	320,1132

Non-split extensions G=N.Q with N=Q₈⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊F₅.₁C₂ = Q₁₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊F₅	80	8-	Q8:F5.1C2	320,1076
Q₈⋊F₅.₂C₂ = Dic₂₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊F₅	80	8-	Q8:F5.2C2	320,1077

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