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

Direct product G=N×Q with N=C4×D20 and Q=C2
dρLabelID
C2×C4×D20160C2xC4xD20320,1145

Semidirect products G=N:Q with N=C4×D20 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×D20)⋊1C2 = C4×D40φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):1C2320,319
(C4×D20)⋊2C2 = D40⋊9C4φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):2C2320,338
(C4×D20)⋊3C2 = C42.276D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):3C2320,1149
(C4×D20)⋊4C2 = C42.277D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):4C2320,1151
(C4×D20)⋊5C2 = C42⋊7D10φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):5C2320,1193
(C4×D20)⋊6C2 = C42.91D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):6C2320,1195
(C4×D20)⋊7C2 = C42⋊8D10φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):7C2320,1196
(C4×D20)⋊8C2 = C42⋊10D10φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):8C2320,1199
(C4×D20)⋊9C2 = C42.93D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):9C2320,1200
(C4×D20)⋊10C2 = C42.95D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):10C2320,1202
(C4×D20)⋊11C2 = C42.99D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):11C2320,1206
(C4×D20)⋊12C2 = C42.100D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):12C2320,1207
(C4×D20)⋊13C2 = C42⋊23D10φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):13C2320,1376
(C4×D20)⋊14C2 = C42⋊24D10φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):14C2320,1377
(C4×D20)⋊15C2 = C42.161D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):15C2320,1379
(C4×D20)⋊16C2 = C42.163D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):16C2320,1381
(C4×D20)⋊17C2 = C4⋊D40φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):17C2320,470
(C4×D20)⋊18C2 = D20.19D4φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):18C2320,471
(C4×D20)⋊19C2 = C4×D4⋊D5φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):19C2320,640
(C4×D20)⋊20C2 = C42.48D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):20C2320,641
(C4×D20)⋊21C2 = D20.23D4φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):21C2320,684
(C4×D20)⋊22C2 = C20⋊2D8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):22C2320,699
(C4×D20)⋊23C2 = C4×D4×D5φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):23C2320,1216
(C4×D20)⋊24C2 = C42⋊11D10φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):24C2320,1217
(C4×D20)⋊25C2 = C42⋊12D10φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):25C2320,1219
(C4×D20)⋊26C2 = C42.228D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):26C2320,1220
(C4×D20)⋊27C2 = D4×D20φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):27C2320,1221
(C4×D20)⋊28C2 = D20⋊23D4φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):28C2320,1222
(C4×D20)⋊29C2 = D20⋊24D4φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):29C2320,1223
(C4×D20)⋊30C2 = D4⋊5D20φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):30C2320,1226
(C4×D20)⋊31C2 = D4⋊6D20φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):31C2320,1227
(C4×D20)⋊32C2 = C42.113D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):32C2320,1230
(C4×D20)⋊33C2 = C42.116D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):33C2320,1234
(C4×D20)⋊34C2 = C42.117D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):34C2320,1235
(C4×D20)⋊35C2 = C42.119D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):35C2320,1237
(C4×D20)⋊36C2 = C4×Q8⋊2D5φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):36C2320,1245
(C4×D20)⋊37C2 = C42.126D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):37C2320,1246
(C4×D20)⋊38C2 = Q8⋊5D20φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):38C2320,1248
(C4×D20)⋊39C2 = Q8⋊6D20φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):39C2320,1249
(C4×D20)⋊40C2 = C42.131D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):40C2320,1252
(C4×D20)⋊41C2 = C42.133D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):41C2320,1254
(C4×D20)⋊42C2 = C42.136D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):42C2320,1257
(C4×D20)⋊43C2 = D20⋊10D4φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):43C2320,1348
(C4×D20)⋊44C2 = Dic10⋊10D4φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):44C2320,1349
(C4×D20)⋊45C2 = C42⋊20D10φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):45C2320,1350
(C4×D20)⋊46C2 = C42.143D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):46C2320,1353
(C4×D20)⋊47C2 = C42.150D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):47C2320,1364
(C4×D20)⋊48C2 = C42.153D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):48C2320,1367
(C4×D20)⋊49C2 = D20⋊11D4φ: C2/C1 → C2 ⊆ Out C4×D2080(C4xD20):49C2320,1389
(C4×D20)⋊50C2 = Dic10⋊11D4φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):50C2320,1390
(C4×D20)⋊51C2 = D20⋊12D4φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):51C2320,1398
(C4×D20)⋊52C2 = C42.179D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20):52C2320,1406
(C4×D20)⋊53C2 = C4×C4○D20φ: trivial image160(C4xD20):53C2320,1146

Non-split extensions G=N.Q with N=C4×D20 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×D20).1C2 = D20⋊3C8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).1C2320,17
(C4×D20).2C2 = C8⋊6D20φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).2C2320,315
(C4×D20).3C2 = C4×C40⋊C2φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).3C2320,318
(C4×D20).4C2 = C8⋊9D20φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).4C2320,333
(C4×D20).5C2 = C42.16D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).5C2320,337
(C4×D20).6C2 = D20⋊4C8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).6C2320,41
(C4×D20).7C2 = D20⋊5C8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).7C2320,461
(C4×D20).8C2 = D10⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).8C2320,463
(C4×D20).9C2 = C20⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).9C2320,465
(C4×D20).10C2 = C20⋊SD16φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).10C2320,468
(C4×D20).11C2 = D20⋊3Q8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).11C2320,469
(C4×D20).12C2 = D20⋊4Q8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).12C2320,473
(C4×D20).13C2 = D20.3Q8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).13C2320,474
(C4×D20).14C2 = C4×Q8⋊D5φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).14C2320,652
(C4×D20).15C2 = C42.56D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).15C2320,653
(C4×D20).16C2 = D20.4Q8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).16C2320,693
(C4×D20).17C2 = C20⋊5SD16φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).17C2320,710
(C4×D20).18C2 = D20⋊5Q8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).18C2320,711
(C4×D20).19C2 = D20⋊6Q8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).19C2320,714
(C4×D20).20C2 = Q8×D20φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).20C2320,1247
(C4×D20).21C2 = D20⋊10Q8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).21C2320,1251
(C4×D20).22C2 = C42.132D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).22C2320,1253
(C4×D20).23C2 = C42.135D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).23C2320,1256
(C4×D20).24C2 = D20⋊7Q8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).24C2320,1362
(C4×D20).25C2 = C42.152D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).25C2320,1366
(C4×D20).26C2 = D20⋊8Q8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).26C2320,1399
(C4×D20).27C2 = D20⋊9Q8φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).27C2320,1402
(C4×D20).28C2 = C42.177D10φ: C2/C1 → C2 ⊆ Out C4×D20160(C4xD20).28C2320,1404
(C4×D20).29C2 = C8×D20φ: trivial image160(C4xD20).29C2320,313

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