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

Direct product G=N×Q with N=C₄⋊C₄ and Q=C₂₀

		d	ρ	Label	ID
C₄⋊C₄×C₂₀		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 = C₅×C₂².SD₁₆	φ: C₂₀/C₅ → C₄ ⊆ Out C₄⋊C₄	80		C4:C4:1C20	320,132
C₄⋊C₄⋊₂C₂₀ = C₅×C₂³.₃₁D₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₄⋊C₄	80		C4:C4:2C20	320,133
C₄⋊C₄⋊₃C₂₀ = C₅×C₄²⋊₆C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:3C20	320,144
C₄⋊C₄⋊₄C₂₀ = C₅×C₂².₄Q₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4:4C20	320,145
C₄⋊C₄⋊₅C₂₀ = C₅×C₂³.₆₃C₂³	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4:5C20	320,888
C₄⋊C₄⋊₆C₂₀ = C₅×C₂³.₆₅C₂³	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 = C₅×C₄².₂C₂²	φ: C₂₀/C₅ → C₄ ⊆ Out C₄⋊C₄	320		C4:C4.1C20	320,135
C₄⋊C₄.₂C₂₀ = C₅×C₄.₁₀D₈	φ: C₂₀/C₅ → C₄ ⊆ Out C₄⋊C₄	320		C4:C4.2C20	320,137
C₄⋊C₄.₃C₂₀ = C₅×D₄⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.3C20	320,130
C₄⋊C₄.₄C₂₀ = C₅×Q₈⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4.4C20	320,131
C₄⋊C₄.₅C₂₀ = C₅×C₄².₆C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.5C20	320,925
C₄⋊C₄.₆C₂₀ = C₅×C₄².₇C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.6C20	320,934
C₄⋊C₄.₇C₂₀ = C₅×C₈⋊₉D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.7C20	320,936
C₄⋊C₄.₈C₂₀ = C₅×C₈⋊₆D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.8C20	320,937
C₄⋊C₄.₉C₂₀ = C₅×C₈⋊₄Q₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₄⋊C₄	320		C4:C4.9C20	320,947
C₄⋊C₄.₁₀C₂₀ = C₅×C₈○₂M₄(2)	φ: trivial image	160		C4:C4.10C20	320,906
C₄⋊C₄.₁₁C₂₀ = D₄×C₄₀	φ: trivial image	160		C4:C4.11C20	320,935
C₄⋊C₄.₁₂C₂₀ = Q₈×C₄₀	φ: trivial image	320		C4:C4.12C20	320,946

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