Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₂₀

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₂₀

		d	ρ	Label	ID
C₂²⋊C₄×C₂₀		160		C2^2:C4xC20	320,878

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₂₀ = C₅×C₂≀C₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₂²⋊C₄	40	4	C2^2:C4:1C20	320,156
C₂²⋊C₄⋊₂C₂₀ = C₅×C₂³.D₄	φ: C₂₀/C₅ → C₄ ⊆ Out C₂²⋊C₄	80	4	C2^2:C4:2C20	320,157
C₂²⋊C₄⋊₃C₂₀ = C₅×C₂³.₉D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:3C20	320,147
C₂²⋊C₄⋊₄C₂₀ = C₅×C₂³.₈Q₈	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4:4C20	320,886
C₂²⋊C₄⋊₅C₂₀ = C₅×C₂⁴.C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4:5C20	320,889

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₂₀ = C₅×M₄(2)⋊₄C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	80	4	C2^2:C4.1C20	320,149
C₂²⋊C₄.₂C₂₀ = C₅×C₄².₆C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.2C20	320,925
C₂²⋊C₄.₃C₂₀ = C₅×C₄².₇C₂²	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.3C20	320,934
C₂²⋊C₄.₄C₂₀ = C₅×C₈⋊₉D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.4C20	320,936
C₂²⋊C₄.₅C₂₀ = C₅×C₈⋊₆D₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out C₂²⋊C₄	160		C2^2:C4.5C20	320,937
C₂²⋊C₄.₆C₂₀ = C₅×C₈○₂M₄(2)	φ: trivial image	160		C2^2:C4.6C20	320,906
C₂²⋊C₄.₇C₂₀ = D₄×C₄₀	φ: trivial image	160		C2^2:C4.7C20	320,935

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