Extensions 1→N→G→Q→1 with N=Dic₂₀ and Q=C₂

Direct product G=N×Q with N=Dic₂₀ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₂₀		160		C2xDic20	160,126

Semidirect products G=N:Q with N=Dic₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀⋊₁C₂ = C₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₀	80	2	Dic20:1C2	160,7
Dic₂₀⋊₂C₂ = C₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₀	80	4-	Dic20:2C2	160,130
Dic₂₀⋊₃C₂ = D₈.D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₀	80	4-	Dic20:3C2	160,34
Dic₂₀⋊₄C₂ = D₈⋊₃D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₀	80	4-	Dic20:4C2	160,133
Dic₂₀⋊₅C₂ = D₅×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₀	80	4-	Dic20:5C2	160,138
Dic₂₀⋊₆C₂ = SD₁₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₀	80	4-	Dic20:6C2	160,136
Dic₂₀⋊₇C₂ = D₄₀⋊₇C₂	φ: trivial image	80	2	Dic20:7C2	160,125

Non-split extensions G=N.Q with N=Dic₂₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀.₁C₂ = Dic₄₀	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₀	160	2-	Dic20.1C2	160,8
Dic₂₀.₂C₂ = C₅⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.2C2	160,36

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