Extensions 1→N→G→Q→1 with N=C₂²xD₂₀ and Q=C₂

Direct product G=NxQ with N=C₂²xD₂₀ and Q=C₂

		d	ρ	Label	ID
C₂³xD₂₀		160		C2^3xD20	320,1610

Semidirect products G=N:Q with N=C₂²xD₂₀ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₂²xD₂₀):₁C₂ = (C₂xC₂₀):₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20):1C2	320,298
(C₂²xD₂₀):₂C₂ = D₂₀:₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):2C2	320,359
(C₂²xD₂₀):₃C₂ = C₂³:₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20):3C2	320,587
(C₂²xD₂₀):₄C₂ = C₂xC₂₀:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20):4C2	320,1147
(C₂²xD₂₀):₅C₂ = C₂xC₂²:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):5C2	320,1159
(C₂²xD₂₀):₆C₂ = C₂xD₁₀:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20):6C2	320,1161
(C₂²xD₂₀):₇C₂ = C₂xC₄:D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20):7C2	320,1178
(C₂²xD₂₀):₈C₂ = D₄xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):8C2	320,1221
(C₂²xD₂₀):₉C₂ = D₂₀:₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):9C2	320,1222
(C₂²xD₂₀):₁₀C₂ = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):10C2	320,1325
(C₂²xD₂₀):₁₁C₂ = C₂²xD₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20):11C2	320,1412
(C₂²xD₂₀):₁₂C₂ = C₂xC₂₀:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20):12C2	320,1462
(C₂²xD₂₀):₁₃C₂ = D₂₀:₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):13C2	320,663
(C₂²xD₂₀):₁₄C₂ = C₄²:₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):14C2	320,1197
(C₂²xD₂₀):₁₅C₂ = D₂₀:₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):15C2	320,1281
(C₂²xD₂₀):₁₆C₂ = D₂₀:₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):16C2	320,1302
(C₂²xD₂₀):₁₇C₂ = C₂xC₈:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):17C2	320,1418
(C₂²xD₂₀):₁₈C₂ = C₂²xD₄:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20):18C2	320,1464
(C₂²xD₂₀):₁₉C₂ = C₂xC₂₀:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20):19C2	320,1475
(C₂²xD₂₀):₂₀C₂ = C₂xD₄:D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):20C2	320,1492
(C₂²xD₂₀):₂₁C₂ = C₁₀.₁₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):21C2	320,1502
(C₂²xD₂₀):₂₂C₂ = C₂²xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):22C2	320,1612
(C₂²xD₂₀):₂₃C₂ = C₂²xQ₈:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20):23C2	320,1616
(C₂²xD₂₀):₂₄C₂ = C₂xD₄:₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20):24C2	320,1619
(C₂²xD₂₀):₂₅C₂ = C₂²xC₄oD₂₀	φ: trivial image	160	(C2^2xD20):25C2	320,1611

Non-split extensions G=N.Q with N=C₂²xD₂₀ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₂²xD₂₀).₁C₂ = (C₂xC₄):₉D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).1C2	320,292
(C₂²xD₂₀).₂C₂ = (C₂xDic₅):₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).2C2	320,299
(C₂²xD₂₀).₃C₂ = D₂₀.₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20).3C2	320,358
(C₂²xD₂₀).₄C₂ = (C₂xC₄):₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).4C2	320,566
(C₂²xD₂₀).₅C₂ = (C₂xC₄):₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).5C2	320,618
(C₂²xD₂₀).₆C₂ = C₂xD₂₀:₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).6C2	320,739
(C₂²xD₂₀).₇C₂ = C₂xD₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20).7C2	320,1082
(C₂²xD₂₀).₈C₂ = C₂xC₄.D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).8C2	320,1148
(C₂²xD₂₀).₉C₂ = C₂xD₁₀.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).9C2	320,1177
(C₂²xD₂₀).₁₀C₂ = C₂²xC₄₀:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).10C2	320,1411
(C₂²xD₂₀).₁₁C₂ = C₂xD₂₀:₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).11C2	320,592
(C₂²xD₂₀).₁₂C₂ = (C₂xD₂₀):₂₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).12C2	320,615
(C₂²xD₂₀).₁₃C₂ = C₄:C₄:₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20).13C2	320,628
(C₂²xD₂₀).₁₄C₂ = D₂₀.₃₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20).14C2	320,673
(C₂²xD₂₀).₁₅C₂ = C₂xC₂₀.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20).15C2	320,757
(C₂²xD₂₀).₁₆C₂ = C₂³.₄₈D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20).16C2	320,758
(C₂²xD₂₀).₁₇C₂ = C₂xD₂₀:₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).17C2	320,1175
(C₂²xD₂₀).₁₈C₂ = C₄²:₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	80	(C2^2xD20).18C2	320,1193
(C₂²xD₂₀).₁₉C₂ = C₂²xQ₈:D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).19C2	320,1479
(C₂²xD₂₀).₂₀C₂ = C₂xC₂₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xD₂₀	160	(C2^2xD20).20C2	320,1486
(C₂²xD₂₀).₂₁C₂ = C₂xC₄xD₂₀	φ: trivial image	160	(C2^2xD20).21C2	320,1145

Extensions 1→N→G→Q→1 with N=C22xD20 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂²xD₂₀ and Q=C₂