Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂₀

Direct product G=N×Q with N=D₄ and Q=C₂₀

		d	ρ	Label	ID
D₄×C₂₀		80		D4xC20	160,179

Semidirect products G=N:Q with N=D₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁C₂₀ = C₅×D₄⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₄	80		D4:1C20	160,52
D₄⋊₂C₂₀ = C₅×C₄≀C₂	φ: C₂₀/C₁₀ → C₂ ⊆ Out D₄	40	2	D4:2C20	160,54

Non-split extensions G=N.Q with N=D₄ and Q=C₂₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.C₂₀ = C₅×C₈○D₄	φ: trivial image	80	2	D4.C20	160,192

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Extensions 1→N→G→Q→1 with N=D4 and Q=C20