Extensions 1→N→G→Q→1 with N=C₄:C₄ and Q=C₂₀

Direct product G=NxQ with N=C₄:C₄ and Q=C₂₀

		d	ρ	Label	ID
C₄:C₄xC₂₀		320		C4:C4xC20	320,879

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:C₄:₁C₂₀ = C₅xC₂².SD₁₆	φ: C₂₀/C₅ → C₄ ⊆ Out C₄:C₄	80		C4:C4:1C20	320,132
C₄:C₄:₂C₂₀ = C₅xC₂³.₃₁D₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₄:C₄	80		C4:C4:2C20	320,133
C₄:C₄:₃C₂₀ = C₅xC₄²:₆C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	80		C4:C4:3C20	320,144
C₄:C₄:₄C₂₀ = C₅xC₂².₄Q₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	320		C4:C4:4C20	320,145
C₄:C₄:₅C₂₀ = C₅xC₂³.₆₃C₂³	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	320		C4:C4:5C20	320,888
C₄:C₄:₆C₂₀ = C₅xC₂³.₆₅C₂³	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	320		C4:C4:6C20	320,890

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄:C₄.₁C₂₀ = C₅xC₄².₂C₂²	φ: C₂₀/C₅ → C₄ ⊆ Out C₄:C₄	320		C4:C4.1C20	320,135
C₄:C₄.₂C₂₀ = C₅xC₄.₁₀D₈	φ: C₂₀/C₅ → C₄ ⊆ Out C₄:C₄	320		C4:C4.2C20	320,137
C₄:C₄.₃C₂₀ = C₅xD₄:C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	160		C4:C4.3C20	320,130
C₄:C₄.₄C₂₀ = C₅xQ₈:C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	320		C4:C4.4C20	320,131
C₄:C₄.₅C₂₀ = C₅xC₄².₆C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	160		C4:C4.5C20	320,925
C₄:C₄.₆C₂₀ = C₅xC₄².₇C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	160		C4:C4.6C20	320,934
C₄:C₄.₇C₂₀ = C₅xC₈:₉D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	160		C4:C4.7C20	320,936
C₄:C₄.₈C₂₀ = C₅xC₈:₆D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	160		C4:C4.8C20	320,937
C₄:C₄.₉C₂₀ = C₅xC₈:₄Q₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄:C₄	320		C4:C4.9C20	320,947
C₄:C₄.₁₀C₂₀ = C₅xC₈o₂M₄(2)	φ: trivial image	160		C4:C4.10C20	320,906
C₄:C₄.₁₁C₂₀ = D₄xC₄₀	φ: trivial image	160		C4:C4.11C20	320,935
C₄:C₄.₁₂C₂₀ = Q₈xC₄₀	φ: trivial image	320		C4:C4.12C20	320,946

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