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Extensions 1→N→G→Q→1 with N=C2×C4○D20 and Q=C2

Direct product G=N×Q with N=C2×C4○D20 and Q=C2
dρLabelID
C22×C4○D20160C2^2xC4oD20320,1611

Semidirect products G=N:Q with N=C2×C4○D20 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4○D20)⋊1C2 = D20⋊14D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):1C2320,361
(C2×C4○D20)⋊2C2 = C42.276D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):2C2320,1149
(C2×C4○D20)⋊3C2 = C24.27D10φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):3C2320,1162
(C2×C4○D20)⋊4C2 = C10.2- (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):4C2320,1179
(C2×C4○D20)⋊5C2 = C42⋊12D10φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):5C2320,1219
(C2×C4○D20)⋊6C2 = C42.228D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):6C2320,1220
(C2×C4○D20)⋊7C2 = D20⋊23D4φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):7C2320,1222
(C2×C4○D20)⋊8C2 = D20⋊24D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):8C2320,1223
(C2×C4○D20)⋊9C2 = Dic10⋊23D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):9C2320,1224
(C2×C4○D20)⋊10C2 = Dic10⋊24D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):10C2320,1225
(C2×C4○D20)⋊11C2 = C10.1212+ (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):11C2320,1326
(C2×C4○D20)⋊12C2 = C10.822- (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):12C2320,1327
(C2×C4○D20)⋊13C2 = C2×D40⋊7C2φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):13C2320,1413
(C2×C4○D20)⋊14C2 = C24.72D10φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):14C2320,1463
(C2×C4○D20)⋊15C2 = D20⋊17D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):15C2320,664
(C2×C4○D20)⋊16C2 = C10.2+ (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):16C2320,1182
(C2×C4○D20)⋊17C2 = C42⋊8D10φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):17C2320,1196
(C2×C4○D20)⋊18C2 = C42⋊9D10φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):18C2320,1197
(C2×C4○D20)⋊19C2 = Dic10⋊20D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):19C2320,1271
(C2×C4○D20)⋊20C2 = C10.382+ (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):20C2320,1279
(C2×C4○D20)⋊21C2 = C10.392+ (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):21C2320,1280
(C2×C4○D20)⋊22C2 = D20⋊20D4φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):22C2320,1284
(C2×C4○D20)⋊23C2 = C10.172- (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):23C2320,1301
(C2×C4○D20)⋊24C2 = D20⋊22D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):24C2320,1303
(C2×C4○D20)⋊25C2 = Dic10⋊22D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):25C2320,1305
(C2×C4○D20)⋊26C2 = C2×C8⋊D10φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):26C2320,1418
(C2×C4○D20)⋊27C2 = C40.9C23φ: C2/C1 → C2 ⊆ Out C2×C4○D20804(C2xC4oD20):27C2320,1420
(C2×C4○D20)⋊28C2 = C2×D4.D10φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):28C2320,1465
(C2×C4○D20)⋊29C2 = C24.41D10φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):29C2320,1477
(C2×C4○D20)⋊30C2 = C2×D4.8D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):30C2320,1493
(C2×C4○D20)⋊31C2 = C20.C24φ: C2/C1 → C2 ⊆ Out C2×C4○D20804(C2xC4oD20):31C2320,1494
(C2×C4○D20)⋊32C2 = (C2×C20)⋊17D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):32C2320,1504
(C2×C4○D20)⋊33C2 = C10.1082- (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):33C2320,1505
(C2×C4○D20)⋊34C2 = C2×D4⋊6D10φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):34C2320,1614
(C2×C4○D20)⋊35C2 = C2×Q8.10D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):35C2320,1617
(C2×C4○D20)⋊36C2 = C2×D5×C4○D4φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):36C2320,1618
(C2×C4○D20)⋊37C2 = C2×D4⋊8D10φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20):37C2320,1619
(C2×C4○D20)⋊38C2 = C2×D4.10D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20):38C2320,1620
(C2×C4○D20)⋊39C2 = C10.C25φ: C2/C1 → C2 ⊆ Out C2×C4○D20804(C2xC4oD20):39C2320,1621

Non-split extensions G=N.Q with N=C2×C4○D20 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4○D20).1C2 = C22⋊C8⋊D5φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).1C2320,354
(C2×C4○D20).2C2 = D20.32D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).2C2320,360
(C2×C4○D20).3C2 = C2×D20⋊4C4φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20).3C2320,554
(C2×C4○D20).4C2 = (C22×C8)⋊D5φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).4C2320,737
(C2×C4○D20).5C2 = C23.23D20φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).5C2320,740
(C2×C4○D20).6C2 = C4○D20⋊9C4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).6C2320,593
(C2×C4○D20).7C2 = C4○D20⋊10C4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).7C2320,629
(C2×C4○D20).8C2 = C42⋊4D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20804(C2xC4oD20).8C2320,632
(C2×C4○D20).9C2 = (C2×D20)⋊25C4φ: C2/C1 → C2 ⊆ Out C2×C4○D20804(C2xC4oD20).9C2320,633
(C2×C4○D20).10C2 = D20.37D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).10C2320,674
(C2×C4○D20).11C2 = C4.89(C2×D20)φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).11C2320,756
(C2×C4○D20).12C2 = M4(2).31D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20804(C2xC4oD20).12C2320,759
(C2×C4○D20).13C2 = C23.49D20φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).13C2320,760
(C2×C4○D20).14C2 = C2×D20⋊7C4φ: C2/C1 → C2 ⊆ Out C2×C4○D2080(C2xC4oD20).14C2320,765
(C2×C4○D20).15C2 = C23.20D20φ: C2/C1 → C2 ⊆ Out C2×C4○D20804(C2xC4oD20).15C2320,766
(C2×C4○D20).16C2 = C10.22- (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).16C2320,1176
(C2×C4○D20).17C2 = C42.188D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).17C2320,1194
(C2×C4○D20).18C2 = C42.91D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).18C2320,1195
(C2×C4○D20).19C2 = C42.92D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).19C2320,1198
(C2×C4○D20).20C2 = C10.162- (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).20C2320,1300
(C2×C4○D20).21C2 = C2×D20.2C4φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).21C2320,1416
(C2×C4○D20).22C2 = C20.70C24φ: C2/C1 → C2 ⊆ Out C2×C4○D20804(C2xC4oD20).22C2320,1417
(C2×C4○D20).23C2 = C2×C8.D10φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).23C2320,1419
(C2×C4○D20).24C2 = C2×C20.C23φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).24C2320,1480
(C2×C4○D20).25C2 = C10.442- (1+4)φ: C2/C1 → C2 ⊆ Out C2×C4○D20160(C2xC4oD20).25C2320,1488
(C2×C4○D20).26C2 = C23⋊F5⋊5C2φ: C2/C1 → C2 ⊆ Out C2×C4○D20804(C2xC4oD20).26C2320,1083
(C2×C4○D20).27C2 = (C4×D5).D4φ: C2/C1 → C2 ⊆ Out C2×C4○D20804(C2xC4oD20).27C2320,1099
(C2×C4○D20).28C2 = C4×C4○D20φ: trivial image160(C2xC4oD20).28C2320,1146
(C2×C4○D20).29C2 = C2×D20.3C4φ: trivial image160(C2xC4oD20).29C2320,1410

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