Extensions 1→N→G→Q→1 with N=Dic₄₀ and Q=C₂

Direct product G=N×Q with N=Dic₄₀ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₄₀		320		C2xDic40	320,532

Semidirect products G=N:Q with N=Dic₄₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₄₀⋊₁C₂ = C₁₆₀⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₀	160	2	Dic40:1C2	320,7
Dic₄₀⋊₂C₂ = C₁₆.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₀	160	4-	Dic40:2C2	320,536
Dic₄₀⋊₃C₂ = D₁₆.D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₀	160	4-	Dic40:3C2	320,78
Dic₄₀⋊₄C₂ = D₁₆⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₀	160	4-	Dic40:4C2	320,539
Dic₄₀⋊₅C₂ = D₅×Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₀	160	4-	Dic40:5C2	320,544
Dic₄₀⋊₆C₂ = SD₃₂⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₀	160	4-	Dic40:6C2	320,542
Dic₄₀⋊₇C₂ = D₈₀⋊₇C₂	φ: trivial image	160	2	Dic40:7C2	320,531

Non-split extensions G=N.Q with N=Dic₄₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₄₀.₁C₂ = Dic₈₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₀	320	2-	Dic40.1C2	320,8
Dic₄₀.₂C₂ = C₅⋊Q₆₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₄₀	320	4-	Dic40.2C2	320,80

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