Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₂₀

Direct product G=N×Q with N=C₄○D₄ and Q=C₂₀

		d	ρ	Label	ID
C₄○D₄×C₂₀		160		C4oD4xC20	320,1519

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁C₂₀ = C₅×C₂³.₂₄D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄○D₄	160		C4oD4:1C20	320,917
C₄○D₄⋊₂C₂₀ = C₅×C₂³.₃₆D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄○D₄	160		C4oD4:2C20	320,918
C₄○D₄⋊₃C₂₀ = C₁₀×C₄≀C₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80		C4oD4:3C20	320,921
C₄○D₄⋊₄C₂₀ = C₅×C₄²⋊C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4:4C20	320,922
C₄○D₄⋊₅C₂₀ = C₅×C₂³.₃₃C₂³	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄○D₄	160		C4oD4:5C20	320,1522

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁C₂₀ = C₅×D₄.C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄○D₄	160	2	C4oD4.1C20	320,155
C₄○D₄.₂C₂₀ = C₅×Q₈○M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄○D₄	80	4	C4oD4.2C20	320,1570
C₄○D₄.₃C₂₀ = C₅×D₄○C₁₆	φ: trivial image	160	2	C4oD4.3C20	320,1005
C₄○D₄.₄C₂₀ = C₁₀×C₈○D₄	φ: trivial image	160		C4oD4.4C20	320,1569

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