Extensions 1→N→G→Q→1 with N=D₂₀⋊C₄ and Q=C₂

Direct product G=N×Q with N=D₂₀⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₂₀⋊C₄		80		C2xD20:C4	320,1104

Semidirect products G=N:Q with N=D₂₀⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊C₄⋊₁C₂ = D₈×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊C₄	40	8+	D20:C4:1C2	320,1068
D₂₀⋊C₄⋊₂C₂ = D₄₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊C₄	40	8+	D20:C4:2C2	320,1069
D₂₀⋊C₄⋊₃C₂ = (D₄×C₁₀)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊C₄	40	8+	D20:C4:3C2	320,1105
D₂₀⋊C₄⋊₄C₂ = C₄○D₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊C₄	40	8	D20:C4:4C2	320,1131
D₂₀⋊C₄⋊₅C₂ = C₄○D₂₀⋊C₄	φ: trivial image	80	8	D20:C4:5C2	320,1132

Non-split extensions G=N.Q with N=D₂₀⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊C₄.₁C₂ = SD₁₆×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊C₄	40	8	D20:C4.1C2	320,1072
D₂₀⋊C₄.₂C₂ = SD₁₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₂₀⋊C₄	40	8	D20:C4.2C2	320,1073

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