Extensions 1→N→G→Q→1 with N=D₄⋊F₅ and Q=C₂

Direct product G=N×Q with N=D₄⋊F₅ and Q=C₂

		d	ρ	Label	ID
C₂×D₄⋊F₅		80		C2xD4:F5	320,1106

Semidirect products G=N:Q with N=D₄⋊F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊F₅⋊₁C₂ = D₈⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊F₅	80	8-	D4:F5:1C2	320,1070
D₄⋊F₅⋊₂C₂ = D₈⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊F₅	80	8-	D4:F5:2C2	320,1071
D₄⋊F₅⋊₃C₂ = SD₁₆⋊₃F₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊F₅	80	8	D4:F5:3C2	320,1074
D₄⋊F₅⋊₄C₂ = SD₁₆⋊₂F₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊F₅	80	8	D4:F5:4C2	320,1075
D₄⋊F₅⋊₅C₂ = (C₂×D₄)⋊₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊F₅	80	8-	D4:F5:5C2	320,1107
D₄⋊F₅⋊₆C₂ = D₄⋊F₅⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊F₅	80	8	D4:F5:6C2	320,1133
D₄⋊F₅⋊₇C₂ = D₅⋊C₄≀C₂	φ: trivial image	40	8	D4:F5:7C2	320,1130

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