Extensions 1→N→G→Q→1 with N=C₄○D₂₀ and Q=C₄

Direct product G=N×Q with N=C₄○D₂₀ and Q=C₄

		d	ρ	Label	ID
C₄×C₄○D₂₀		160		C4xC4oD20	320,1146

Semidirect products G=N:Q with N=C₄○D₂₀ and Q=C₄

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

Non-split extensions G=N.Q with N=C₄○D₂₀ and Q=C₄

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

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