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

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

		d	ρ	Label	ID
C₂×D₂₀		40		C2xD20	80,37

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀⋊₁C₂ = D₄₀	φ: C₂/C₁ → C₂ ⊆ Out D₂₀	40	2+	D20:1C2	80,7
D₂₀⋊₂C₂ = D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₂₀	40	4+	D20:2C2	80,15
D₂₀⋊₃C₂ = D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₂₀	20	4+	D20:3C2	80,39
D₂₀⋊₄C₂ = Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₂₀	40	4+	D20:4C2	80,42
D₂₀⋊₅C₂ = C₄○D₂₀	φ: trivial image	40	2	D20:5C2	80,38

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₀.₁C₂ = C₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₂₀	40	2	D20.1C2	80,6
D₂₀.₂C₂ = Q₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₂₀	40	4+	D20.2C2	80,17

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