Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=F₅

Direct product G=N×Q with N=C₄○D₄ and Q=F₅

		d	ρ	Label	ID
C₄○D₄×F₅		40	8	C4oD4xF5	320,1603

Semidirect products G=N:Q with N=C₄○D₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁F₅ = D₅⋊C₄≀C₂	φ: F₅/D₅ → C₂ ⊆ Out C₄○D₄	40	8	C4oD4:1F5	320,1130
C₄○D₄⋊₂F₅ = C₄○D₄⋊F₅	φ: F₅/D₅ → C₂ ⊆ Out C₄○D₄	40	8	C4oD4:2F5	320,1131
C₄○D₄⋊₃F₅ = C₄○D₂₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Out C₄○D₄	80	8	C4oD4:3F5	320,1132
C₄○D₄⋊₄F₅ = D₄⋊F₅⋊C₂	φ: F₅/D₅ → C₂ ⊆ Out C₄○D₄	80	8	C4oD4:4F5	320,1133
C₄○D₄⋊₅F₅ = D₅.2₊¹⁺⁴	φ: F₅/D₅ → C₂ ⊆ Out C₄○D₄	40	8	C4oD4:5F5	320,1604

Non-split extensions G=N.Q with N=C₄○D₄ and Q=F₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁F₅ = D₄.(C₅⋊C₈)	φ: F₅/D₅ → C₂ ⊆ Out C₄○D₄	160	8	C4oD4.1F5	320,270
C₄○D₄.₂F₅ = Dic₅.₂₂C₂⁴	φ: F₅/D₅ → C₂ ⊆ Out C₄○D₄	80	8	C4oD4.2F5	320,1602
C₄○D₄.₃F₅ = C₅⋊C₁₆.C₂²	φ: trivial image	160	8	C4oD4.3F5	320,1129
C₄○D₄.₄F₅ = Dic₅.₂₁C₂⁴	φ: trivial image	80	8	C4oD4.4F5	320,1601

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