Extensions 1→N→G→Q→1 with N=Dic₂₀ and Q=C₄

Direct product G=NxQ with N=Dic₂₀ and Q=C₄

		d	ρ	Label	ID
C₄xDic₂₀		320		C4xDic20	320,325

Semidirect products G=N:Q with N=Dic₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀:₁C₄ = D₁₀.D₈	φ: C₄/C₁ → C₄ ⊆ Out Dic₂₀	80	8-	Dic20:1C4	320,241
Dic₂₀:₂C₄ = D₈:F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₂₀	80	8-	Dic20:2C4	320,1071
Dic₂₀:₃C₄ = Dic₂₀:C₄	φ: C₄/C₁ → C₄ ⊆ Out Dic₂₀	80	8-	Dic20:3C4	320,1077
Dic₂₀:₄C₄ = D₅.Q₃₂	φ: C₄/C₁ → C₄ ⊆ Out Dic₂₀	80	8-	Dic20:4C4	320,246
Dic₂₀:₅C₄ = D₈:₅F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₂₀	80	8-	Dic20:5C4	320,1070
Dic₂₀:₆C₄ = Q₁₆xF₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₂₀	80	8-	Dic20:6C4	320,1076
Dic₂₀:₇C₄ = C₄₀.₇₈D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	320		Dic20:7C4	320,61
Dic₂₀:₈C₄ = D₄₀:₈C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:8C4	320,76
Dic₂₀:₉C₄ = Dic₂₀:₉C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	320		Dic20:9C4	320,343
Dic₂₀:₁₀C₄ = D₄₀:₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:10C4	320,344
Dic₂₀:₁₁C₄ = C₁₀.Q₃₂	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	320		Dic20:11C4	320,50
Dic₂₀:₁₂C₄ = Dic₅:₅Q₁₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	320		Dic20:12C4	320,500
Dic₂₀:₁₃C₄ = D₄₀:₁₃C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:13C4	320,522
Dic₂₀:₁₄C₄ = D₄₀:₁₄C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:14C4	320,46
Dic₂₀:₁₅C₄ = Dic₂₀:₁₅C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	320		Dic20:15C4	320,480
Dic₂₀:₁₆C₄ = D₄₀:₁₆C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:16C4	320,521
Dic₂₀:₁₇C₄ = D₄₀:₁₇C₄	φ: trivial image	80	2	Dic20:17C4	320,327

Non-split extensions G=N.Q with N=Dic₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀.₁C₄ = Dic₂₀.C₄	φ: C₄/C₁ → C₄ ⊆ Out Dic₂₀	160	8-	Dic20.1C4	320,248
Dic₂₀.₂C₄ = D₈.F₅	φ: C₄/C₁ → C₄ ⊆ Out Dic₂₀	160	8-	Dic20.2C4	320,243
Dic₂₀.₃C₄ = D₄₀.₃C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	160	2	Dic20.3C4	320,68
Dic₂₀.₄C₄ = C₂₀.₄D₈	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.4C4	320,75
Dic₂₀.₅C₄ = D₄₀.₅C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	160	4	Dic20.5C4	320,55
Dic₂₀.₆C₄ = C₄₀.₈D₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.6C4	320,54

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