Extensions 1→N→G→Q→1 with N=D₄xC₂₀ and Q=C₂

Direct product G=NxQ with N=D₄xC₂₀ and Q=C₂

		d	ρ	Label	ID
D₄xC₂xC₂₀		160		D4xC2xC20	320,1517

Semidirect products G=N:Q with N=D₄xC₂₀ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₄xC₂₀):₁C₂ = C₄xD₄:D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):1C2	320,640
(D₄xC₂₀):₂C₂ = C₄².₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):2C2	320,641
(D₄xC₂₀):₃C₂ = C₂₀:₇D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):3C2	320,642
(D₄xC₂₀):₄C₂ = D₄.₁D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):4C2	320,643
(D₄xC₂₀):₅C₂ = C₄xD₄:₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):5C2	320,1208
(D₄xC₂₀):₆C₂ = C₄².₁₀₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):6C2	320,1210
(D₄xC₂₀):₇C₂ = C₄².₁₀₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):7C2	320,1212
(D₄xC₂₀):₈C₂ = C₄xD₄xD₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):8C2	320,1216
(D₄xC₂₀):₉C₂ = C₄²:₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):9C2	320,1217
(D₄xC₂₀):₁₀C₂ = C₄².₁₀₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):10C2	320,1218
(D₄xC₂₀):₁₁C₂ = C₄²:₁₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):11C2	320,1219
(D₄xC₂₀):₁₂C₂ = C₄².₂₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):12C2	320,1220
(D₄xC₂₀):₁₃C₂ = D₄xD₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):13C2	320,1221
(D₄xC₂₀):₁₄C₂ = D₂₀:₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):14C2	320,1222
(D₄xC₂₀):₁₅C₂ = D₂₀:₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):15C2	320,1223
(D₄xC₂₀):₁₆C₂ = Dic₁₀:₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):16C2	320,1224
(D₄xC₂₀):₁₇C₂ = Dic₁₀:₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):17C2	320,1225
(D₄xC₂₀):₁₈C₂ = D₄:₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):18C2	320,1226
(D₄xC₂₀):₁₉C₂ = D₄:₆D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):19C2	320,1227
(D₄xC₂₀):₂₀C₂ = C₄²:₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):20C2	320,1228
(D₄xC₂₀):₂₁C₂ = C₄².₂₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):21C2	320,1229
(D₄xC₂₀):₂₂C₂ = C₄².₁₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):22C2	320,1230
(D₄xC₂₀):₂₃C₂ = C₄².₁₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):23C2	320,1231
(D₄xC₂₀):₂₄C₂ = C₄²:₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):24C2	320,1232
(D₄xC₂₀):₂₅C₂ = C₄².₁₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):25C2	320,1233
(D₄xC₂₀):₂₆C₂ = C₄².₁₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):26C2	320,1234
(D₄xC₂₀):₂₇C₂ = C₄².₁₁₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):27C2	320,1235
(D₄xC₂₀):₂₈C₂ = C₄².₁₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):28C2	320,1236
(D₄xC₂₀):₂₉C₂ = C₄².₁₁₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):29C2	320,1237
(D₄xC₂₀):₃₀C₂ = D₈xC₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):30C2	320,938
(D₄xC₂₀):₃₁C₂ = C₅xD₈:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):31C2	320,943
(D₄xC₂₀):₃₂C₂ = C₅xC₄:D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):32C2	320,960
(D₄xC₂₀):₃₃C₂ = C₅xD₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):33C2	320,964
(D₄xC₂₀):₃₄C₂ = C₅xC₂².₁₁C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):34C2	320,1520
(D₄xC₂₀):₃₅C₂ = C₅xC₂³.₃₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):35C2	320,1522
(D₄xC₂₀):₃₆C₂ = C₅xC₂².₁₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):36C2	320,1527
(D₄xC₂₀):₃₇C₂ = C₅xC₂³.₃₆C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):37C2	320,1531
(D₄xC₂₀):₃₈C₂ = C₅xC₂².₂₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):38C2	320,1534
(D₄xC₂₀):₃₉C₂ = C₅xC₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):39C2	320,1540
(D₄xC₂₀):₄₀C₂ = C₅xC₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):40C2	320,1541
(D₄xC₂₀):₄₁C₂ = C₅xC₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):41C2	320,1542
(D₄xC₂₀):₄₂C₂ = C₅xC₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):42C2	320,1544
(D₄xC₂₀):₄₃C₂ = C₅xD₄²	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):43C2	320,1547
(D₄xC₂₀):₄₄C₂ = C₅xD₄:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):44C2	320,1548
(D₄xC₂₀):₄₅C₂ = C₅xD₄:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):45C2	320,1549
(D₄xC₂₀):₄₆C₂ = C₅xQ₈:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):46C2	320,1550
(D₄xC₂₀):₄₇C₂ = C₅xQ₈:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):47C2	320,1552
(D₄xC₂₀):₄₈C₂ = C₅xC₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	80	(D4xC20):48C2	320,1553
(D₄xC₂₀):₄₉C₂ = C₅xC₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):49C2	320,1555
(D₄xC₂₀):₅₀C₂ = C₅xC₂².₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):50C2	320,1557
(D₄xC₂₀):₅₁C₂ = C₅xC₂².₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20):51C2	320,1561
(D₄xC₂₀):₅₂C₂ = C₄oD₄xC₂₀	φ: trivial image	160	(D4xC20):52C2	320,1519

Non-split extensions G=N.Q with N=D₄xC₂₀ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₄xC₂₀).₁C₂ = C₂₀.₅₇D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).1C2	320,92
(D₄xC₂₀).₂C₂ = C₂₀.₅₀D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).2C2	320,634
(D₄xC₂₀).₃C₂ = C₂₀.₃₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).3C2	320,635
(D₄xC₂₀).₄C₂ = D₄.₃Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).4C2	320,636
(D₄xC₂₀).₅C₂ = D₄xC₅:₂C₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).5C2	320,637
(D₄xC₂₀).₆C₂ = C₄².₄₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).6C2	320,638
(D₄xC₂₀).₇C₂ = C₂₀:₇M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).7C2	320,639
(D₄xC₂₀).₈C₂ = C₄xD₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).8C2	320,644
(D₄xC₂₀).₉C₂ = C₄².₅₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).9C2	320,645
(D₄xC₂₀).₁₀C₂ = D₄.₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).10C2	320,646
(D₄xC₂₀).₁₁C₂ = D₄xDic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).11C2	320,1209
(D₄xC₂₀).₁₂C₂ = D₄:₅Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).12C2	320,1211
(D₄xC₂₀).₁₃C₂ = C₄².₁₀₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).13C2	320,1213
(D₄xC₂₀).₁₄C₂ = C₄².₁₀₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).14C2	320,1214
(D₄xC₂₀).₁₅C₂ = D₄:₆Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).15C2	320,1215
(D₄xC₂₀).₁₆C₂ = C₅xD₄:C₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).16C2	320,130
(D₄xC₂₀).₁₇C₂ = C₅xC₈:₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).17C2	320,936
(D₄xC₂₀).₁₈C₂ = C₅xC₈:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).18C2	320,937
(D₄xC₂₀).₁₉C₂ = SD₁₆xC₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).19C2	320,939
(D₄xC₂₀).₂₀C₂ = C₅xSD₁₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).20C2	320,941
(D₄xC₂₀).₂₁C₂ = C₅xD₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).21C2	320,962
(D₄xC₂₀).₂₂C₂ = C₅xD₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).22C2	320,975
(D₄xC₂₀).₂₃C₂ = C₅xD₄:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).23C2	320,977
(D₄xC₂₀).₂₄C₂ = C₅xD₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).24C2	320,979
(D₄xC₂₀).₂₅C₂ = C₅xD₄xQ₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).25C2	320,1551
(D₄xC₂₀).₂₆C₂ = C₅xC₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).26C2	320,1554
(D₄xC₂₀).₂₇C₂ = C₅xD₄:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).27C2	320,1556
(D₄xC₂₀).₂₈C₂ = C₅xC₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄xC₂₀	160	(D4xC20).28C2	320,1558
(D₄xC₂₀).₂₉C₂ = D₄xC₄₀	φ: trivial image	160	(D4xC20).29C2	320,935

Extensions 1→N→G→Q→1 with N=D4xC20 and Q=C2

Extensions 1→N→G→Q→1 with N=D₄xC₂₀ and Q=C₂