Extensions 1→N→G→Q→1 with N=D₄₀ and Q=C₂

Direct product G=N×Q with N=D₄₀ and Q=C₂

		d	ρ	Label	ID
C₂×D₄₀		80		C2xD40	160,124

Semidirect products G=N:Q with N=D₄₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀⋊₁C₂ = D₈₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀	80	2+	D40:1C2	160,6
D₄₀⋊₂C₂ = C₈⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀	40	4+	D40:2C2	160,129
D₄₀⋊₃C₂ = C₅⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄₀	80	4+	D40:3C2	160,33
D₄₀⋊₄C₂ = D₅×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄₀	40	4+	D40:4C2	160,131
D₄₀⋊₅C₂ = Q₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄₀	80	4+	D40:5C2	160,140
D₄₀⋊₆C₂ = D₄₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₀	40	4+	D40:6C2	160,135
D₄₀⋊₇C₂ = D₄₀⋊₇C₂	φ: trivial image	80	2	D40:7C2	160,125

Non-split extensions G=N.Q with N=D₄₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀.₁C₂ = C₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄₀	80	2	D40.1C2	160,7
D₄₀.₂C₂ = C₅⋊SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₄₀	80	4+	D40.2C2	160,35

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