Extensions 1→N→G→Q→1 with N=C₄oD₄ and Q=C₂₀

Direct product G=NxQ with N=C₄oD₄ and Q=C₂₀

		d	ρ	Label	ID
C₄oD₄xC₂₀		160		C4oD4xC20	320,1519

Semidirect products G=N:Q with N=C₄oD₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄:₁C₂₀ = C₅xC₂³.₂₄D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄oD₄	160		C4oD4:1C20	320,917
C₄oD₄:₂C₂₀ = C₅xC₂³.₃₆D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄oD₄	160		C4oD4:2C20	320,918
C₄oD₄:₃C₂₀ = C₁₀xC₄wrC₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄oD₄	80		C4oD4:3C20	320,921
C₄oD₄:₄C₂₀ = C₅xC₄²:C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄oD₄	80	4	C4oD4:4C20	320,922
C₄oD₄:₅C₂₀ = C₅xC₂³.₃₃C₂³	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄oD₄	160		C4oD4:5C20	320,1522

Non-split extensions G=N.Q with N=C₄oD₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₄.₁C₂₀ = C₅xD₄.C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄oD₄	160	2	C4oD4.1C20	320,155
C₄oD₄.₂C₂₀ = C₅xQ₈oM₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄oD₄	80	4	C4oD4.2C20	320,1570
C₄oD₄.₃C₂₀ = C₅xD₄oC₁₆	φ: trivial image	160	2	C4oD4.3C20	320,1005
C₄oD₄.₄C₂₀ = C₁₀xC₈oD₄	φ: trivial image	160		C4oD4.4C20	320,1569

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