Extensions 1→N→G→Q→1 with N=D₂₀ and Q=D₅

Direct product G=N×Q with N=D₂₀ and Q=D₅

		d	ρ	Label	ID
D₅×D₂₀		40	4+	D5xD20	400,170

Semidirect products G=N:Q with N=D₂₀ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₁D₅ = C₅⋊D₄₀	φ: D₅/C₅ → C₂ ⊆ Out D₂₀	40	4+	D20:1D5	400,65
D₂₀⋊₂D₅ = C₅²⋊₂D₈	φ: D₅/C₅ → C₂ ⊆ Out D₂₀	80	4	D20:2D5	400,64
D₂₀⋊₃D₅ = D₂₀⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out D₂₀	40	4	D20:3D5	400,165
D₂₀⋊₄D₅ = C₂₀⋊D₁₀	φ: D₅/C₅ → C₂ ⊆ Out D₂₀	40	4	D20:4D5	400,171
D₂₀⋊₅D₅ = D₂₀⋊₅D₅	φ: trivial image	80	4-	D20:5D5	400,164

Non-split extensions G=N.Q with N=D₂₀ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₁D₅ = C₅²⋊₃SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out D₂₀	80	4-	D20.1D5	400,67
D₂₀.₂D₅ = D₂₀.D₅	φ: D₅/C₅ → C₂ ⊆ Out D₂₀	80	4	D20.2D5	400,66

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