Extensions 1→N→G→Q→1 with N=C₄oD₂₀ and Q=C₄

Direct product G=NxQ with N=C₄oD₂₀ and Q=C₄

		d	ρ	Label	ID
C₄xC₄oD₂₀		160		C4xC4oD20	320,1146

Semidirect products G=N:Q with N=C₄oD₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₂₀:₁C₄ = D₅:C₄wrC₂	φ: C₄/C₁ → C₄ ⊆ Out C₄oD₂₀	40	8	C4oD20:1C4	320,1130
C₄oD₂₀:₂C₄ = C₄oD₄:F₅	φ: C₄/C₁ → C₄ ⊆ Out C₄oD₂₀	40	8	C4oD20:2C4	320,1131
C₄oD₂₀:₃C₄ = C₄oD₂₀:C₄	φ: C₄/C₁ → C₄ ⊆ Out C₄oD₂₀	80	8	C4oD20:3C4	320,1132
C₄oD₂₀:₄C₄ = D₄:F₅:C₂	φ: C₄/C₁ → C₄ ⊆ Out C₄oD₂₀	80	8	C4oD20:4C4	320,1133
C₄oD₂₀:₅C₄ = C₄oD₄xF₅	φ: C₄/C₁ → C₄ ⊆ Out C₄oD₂₀	40	8	C4oD20:5C4	320,1603
C₄oD₂₀:₆C₄ = D₅.2₊¹⁺⁴	φ: C₄/C₁ → C₄ ⊆ Out C₄oD₂₀	40	8	C4oD20:6C4	320,1604
C₄oD₂₀:₇C₄ = C₂xD₂₀:₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	80		C4oD20:7C4	320,554
C₄oD₂₀:₈C₄ = C₂³.₂₃D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160		C4oD20:8C4	320,740
C₄oD₂₀:₉C₄ = C₄oD₂₀:₉C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160		C4oD20:9C4	320,593
C₄oD₂₀:₁₀C₄ = C₄oD₂₀:₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160		C4oD20:10C4	320,629
C₄oD₂₀:₁₁C₄ = C₄²:₄D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	80	4	C4oD20:11C4	320,632
C₄oD₂₀:₁₂C₄ = C₂³.₄₉D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160		C4oD20:12C4	320,760
C₄oD₂₀:₁₃C₄ = C₂xD₂₀:₇C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	80		C4oD20:13C4	320,765
C₄oD₂₀:₁₄C₄ = C₂³.₂₀D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	80	4	C4oD20:14C4	320,766
C₄oD₂₀:₁₅C₄ = C₁₀.₈2₊¹⁺⁴	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160		C4oD20:15C4	320,1176
C₄oD₂₀:₁₆C₄ = C₄².₁₈₈D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160		C4oD20:16C4	320,1194
C₄oD₂₀:₁₇C₄ = C₄².₉₁D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160		C4oD20:17C4	320,1195

Non-split extensions G=N.Q with N=C₄oD₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₄oD₂₀.₁C₄ = D₂₀.C₈	φ: C₄/C₁ → C₄ ⊆ Out C₄oD₂₀	160	8	C4oD20.1C4	320,236
C₄oD₂₀.₂C₄ = Dic₁₀.C₈	φ: C₄/C₁ → C₄ ⊆ Out C₄oD₂₀	160	8	C4oD20.2C4	320,1063
C₄oD₂₀.₃C₄ = Dic₅.₂₁C₂⁴	φ: C₄/C₁ → C₄ ⊆ Out C₄oD₂₀	80	8	C4oD20.3C4	320,1601
C₄oD₂₀.₄C₄ = Dic₅.₂₂C₂⁴	φ: C₄/C₁ → C₄ ⊆ Out C₄oD₂₀	80	8	C4oD20.4C4	320,1602
C₄oD₂₀.₅C₄ = D₂₀.₃C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160	2	C4oD20.5C4	320,66
C₄oD₂₀.₆C₄ = D₂₀.₄C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160	4	C4oD20.6C4	320,73
C₄oD₂₀.₇C₄ = D₂₀.₅C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160	4	C4oD20.7C4	320,534
C₄oD₂₀.₈C₄ = C₂xD₂₀.₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	160		C4oD20.8C4	320,1416
C₄oD₂₀.₉C₄ = C₄₀.₄₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄oD₂₀	80	4	C4oD20.9C4	320,1417
C₄oD₂₀.₁₀C₄ = D₂₀.₆C₈	φ: trivial image	160	2	C4oD20.10C4	320,528
C₄oD₂₀.₁₁C₄ = C₂xD₂₀.₃C₄	φ: trivial image	160		C4oD20.11C4	320,1410

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