Extensions 1→N→G→Q→1 with N=C₂xD₂₀ and Q=C₄

Direct product G=NxQ with N=C₂xD₂₀ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xD₂₀		160		C2xC4xD20	320,1145

Semidirect products G=N:Q with N=C₂xD₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₂₀):₁C₄ = (C₂xD₂₀):C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80		(C2xD20):1C4	320,9
(C₂xD₂₀):₂C₄ = C₂².₂D₄₀	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80		(C2xD20):2C4	320,28
(C₂xD₂₀):₃C₄ = C₄²:F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	40	4+	(C2xD20):3C4	320,191
(C₂xD₂₀):₄C₄ = C₂³.₂D₂₀	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	40	8+	(C2xD20):4C4	320,32
(C₂xD₂₀):₅C₄ = D₁₀.₁D₈	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80		(C2xD20):5C4	320,206
(C₂xD₂₀):₆C₄ = D₅xC₂³:C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	40	8+	(C2xD20):6C4	320,370
(C₂xD₂₀):₇C₄ = (C₂xF₅):D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	40		(C2xD20):7C4	320,1117
(C₂xD₂₀):₈C₄ = C₂xD₂₀:C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80		(C2xD20):8C4	320,1104
(C₂xD₂₀):₉C₄ = (D₄xC₁₀):C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	40	8+	(C2xD20):9C4	320,1105
(C₂xD₂₀):₁₀C₄ = C₂.(D₄xF₅)	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80		(C2xD20):10C4	320,1118
(C₂xD₂₀):₁₁C₄ = C₂xQ₈:₂F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80		(C2xD20):11C4	320,1121
(C₂xD₂₀):₁₂C₄ = (C₂xQ₈):₆F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80	8+	(C2xD20):12C4	320,1122
(C₂xD₂₀):₁₃C₄ = (C₂xQ₈):₇F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80	8+	(C2xD20):13C4	320,1123
(C₂xD₂₀):₁₄C₄ = C₂xD₄xF₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	40		(C2xD20):14C4	320,1595
(C₂xD₂₀):₁₅C₄ = D₁₀.C₂⁴	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	40	8+	(C2xD20):15C4	320,1596
(C₂xD₂₀):₁₆C₄ = (C₂xC₄):₉D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20):16C4	320,292
(C₂xD₂₀):₁₇C₄ = C₂xD₂₀:₄C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80		(C2xD20):17C4	320,554
(C₂xD₂₀):₁₈C₄ = (C₂xC₄):₆D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20):18C4	320,566
(C₂xD₂₀):₁₉C₄ = C₂xD₂₀:₅C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20):19C4	320,739
(C₂xD₂₀):₂₀C₄ = C₂xD₁₀.D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80		(C2xD20):20C4	320,1082
(C₂xD₂₀):₂₁C₄ = C₂xD₂₀:₆C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20):21C4	320,592
(C₂xD₂₀):₂₂C₄ = (C₂xD₂₀):₂₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20):22C4	320,615
(C₂xD₂₀):₂₃C₄ = C₄:C₄:₃₆D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80		(C2xD20):23C4	320,628
(C₂xD₂₀):₂₄C₄ = C₄²:₄D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80	4	(C2xD20):24C4	320,632
(C₂xD₂₀):₂₅C₄ = (C₂xD₂₀):₂₅C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80	4	(C2xD20):25C4	320,633
(C₂xD₂₀):₂₆C₄ = C₂³.₄₈D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80		(C2xD20):26C4	320,758
(C₂xD₂₀):₂₇C₄ = C₂xD₂₀:₇C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80		(C2xD20):27C4	320,765
(C₂xD₂₀):₂₈C₄ = C₂³.₂₀D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80	4	(C2xD20):28C4	320,766
(C₂xD₂₀):₂₉C₄ = C₂xD₂₀:₈C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20):29C4	320,1175
(C₂xD₂₀):₃₀C₄ = C₄²:₇D₁₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80		(C2xD20):30C4	320,1193

Non-split extensions G=N.Q with N=C₂xD₂₀ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xD₂₀).₁C₄ = C₄².D₁₀	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	160		(C2xD20).1C4	320,22
(C₂xD₂₀).₂C₄ = C₄.D₄₀	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	160		(C2xD20).2C4	320,43
(C₂xD₂₀).₃C₄ = C₄².₂F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80	4	(C2xD20).3C4	320,194
(C₂xD₂₀).₄C₄ = (C₂xC₄).D₂₀	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80	8+	(C2xD20).4C4	320,35
(C₂xD₂₀).₅C₄ = Dic₅.SD₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	160		(C2xD20).5C4	320,263
(C₂xD₂₀).₆C₄ = (C₂xQ₈).F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	160		(C2xD20).6C4	320,265
(C₂xD₂₀).₇C₄ = M₄(2).₂₁D₁₀	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80	8+	(C2xD20).7C4	320,378
(C₂xD₂₀).₈C₄ = D₁₀:₂M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	160		(C2xD20).8C4	320,1042
(C₂xD₂₀).₉C₄ = (C₂xQ₈).₅F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	160		(C2xD20).9C4	320,1125
(C₂xD₂₀).₁₀C₄ = D₂₀:C₈	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	160		(C2xD20).10C4	320,209
(C₂xD₂₀).₁₁C₄ = D₂₀:₂C₈	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	160		(C2xD20).11C4	320,1040
(C₂xD₂₀).₁₂C₄ = C₂₀:M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	160		(C2xD20).12C4	320,1043
(C₂xD₂₀).₁₃C₄ = D₅:(C₄.D₄)	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	40	8+	(C2xD20).13C4	320,1116
(C₂xD₂₀).₁₄C₄ = C₂xQ₈.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	160		(C2xD20).14C4	320,1597
(C₂xD₂₀).₁₅C₄ = Dic₅.₂₀C₂⁴	φ: C₄/C₁ → C₄ ⊆ Out C₂xD₂₀	80	8+	(C2xD20).15C4	320,1598
(C₂xD₂₀).₁₆C₄ = D₂₀:₃C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).16C4	320,17
(C₂xD₂₀).₁₇C₄ = C₈:₆D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).17C4	320,315
(C₂xD₂₀).₁₈C₄ = C₈:₉D₂₀	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).18C4	320,333
(C₂xD₂₀).₁₉C₄ = C₂²:C₈:D₅	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).19C4	320,354
(C₂xD₂₀).₂₀C₄ = D₁₀:₅M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).20C4	320,463
(C₂xD₂₀).₂₁C₄ = (C₂²xC₈):D₅	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).21C4	320,737
(C₂xD₂₀).₂₂C₄ = (C₄xD₅).D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80	4	(C2xD20).22C4	320,1099
(C₂xD₂₀).₂₃C₄ = D₂₀:₄C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).23C4	320,41
(C₂xD₂₀).₂₄C₄ = D₂₀:₅C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).24C4	320,461
(C₂xD₂₀).₂₅C₄ = C₂₀:₆M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).25C4	320,465
(C₂xD₂₀).₂₆C₄ = C₄.₈₉(C₂xD₂₀)	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).26C4	320,756
(C₂xD₂₀).₂₇C₄ = C₂xC₂₀.₄₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80		(C2xD20).27C4	320,757
(C₂xD₂₀).₂₈C₄ = C₂xD₂₀.₂C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	160		(C2xD20).28C4	320,1416
(C₂xD₂₀).₂₉C₄ = C₄₀.₄₇C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂xD₂₀	80	4	(C2xD20).29C4	320,1417
(C₂xD₂₀).₃₀C₄ = C₈xD₂₀	φ: trivial image	160		(C2xD20).30C4	320,313
(C₂xD₂₀).₃₁C₄ = C₂xD₂₀.₃C₄	φ: trivial image	160		(C2xD20).31C4	320,1410

Extensions 1→N→G→Q→1 with N=C2xD20 and Q=C4

Extensions 1→N→G→Q→1 with N=C₂xD₂₀ and Q=C₄