Extensions 1→N→G→Q→1 with N=C2×C5⋊D4 and Q=C22

Direct product G=N×Q with N=C2×C5⋊D4 and Q=C22
dρLabelID
C23×C5⋊D4160C2^3xC5:D4320,1627

Semidirect products G=N:Q with N=C2×C5⋊D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C5⋊D4)⋊1C22 = C24.27D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):1C2^2320,1162
(C2×C5⋊D4)⋊2C22 = D4×D20φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):2C2^2320,1221
(C2×C5⋊D4)⋊3C22 = D2023D4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):3C2^2320,1222
(C2×C5⋊D4)⋊4C22 = D45D20φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):4C2^2320,1226
(C2×C5⋊D4)⋊5C22 = C4217D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):5C2^2320,1232
(C2×C5⋊D4)⋊6C22 = C24.56D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):6C2^2320,1258
(C2×C5⋊D4)⋊7C22 = D5×C22≀C2φ: C22/C1C22 ⊆ Out C2×C5⋊D440(C2xC5:D4):7C2^2320,1260
(C2×C5⋊D4)⋊8C22 = C24.33D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):8C2^2320,1263
(C2×C5⋊D4)⋊9C22 = C24.34D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):9C2^2320,1264
(C2×C5⋊D4)⋊10C22 = C24.35D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):10C2^2320,1265
(C2×C5⋊D4)⋊11C22 = C24.36D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):11C2^2320,1267
(C2×C5⋊D4)⋊12C22 = D5×C4⋊D4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):12C2^2320,1276
(C2×C5⋊D4)⋊13C22 = C10.372+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):13C2^2320,1277
(C2×C5⋊D4)⋊14C22 = C10.382+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):14C2^2320,1279
(C2×C5⋊D4)⋊15C22 = D2019D4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):15C2^2320,1281
(C2×C5⋊D4)⋊16C22 = C10.402+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):16C2^2320,1282
(C2×C5⋊D4)⋊17C22 = C10.482+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):17C2^2320,1292
(C2×C5⋊D4)⋊18C22 = C10.1202+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):18C2^2320,1325
(C2×C5⋊D4)⋊19C22 = C4⋊C428D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):19C2^2320,1328
(C2×C5⋊D4)⋊20C22 = C10.612+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):20C2^2320,1329
(C2×C5⋊D4)⋊21C22 = C10.682+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):21C2^2320,1338
(C2×C5⋊D4)⋊22C22 = C4218D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):22C2^2320,1346
(C2×C5⋊D4)⋊23C22 = D2010D4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):23C2^2320,1348
(C2×C5⋊D4)⋊24C22 = C4220D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):24C2^2320,1350
(C2×C5⋊D4)⋊25C22 = D5×C41D4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):25C2^2320,1386
(C2×C5⋊D4)⋊26C22 = C4226D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):26C2^2320,1387
(C2×C5⋊D4)⋊27C22 = D2011D4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):27C2^2320,1389
(C2×C5⋊D4)⋊28C22 = C24.41D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):28C2^2320,1477
(C2×C5⋊D4)⋊29C22 = C24.42D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):29C2^2320,1478
(C2×C5⋊D4)⋊30C22 = C10.1452+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):30C2^2320,1501
(C2×C5⋊D4)⋊31C22 = C10.1462+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4):31C2^2320,1502
(C2×C5⋊D4)⋊32C22 = D5×2+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4408+(C2xC5:D4):32C2^2320,1622
(C2×C5⋊D4)⋊33C22 = D20.37C23φ: C22/C1C22 ⊆ Out C2×C5⋊D4808-(C2xC5:D4):33C2^2320,1623
(C2×C5⋊D4)⋊34C22 = C2×C22⋊D20φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):34C2^2320,1159
(C2×C5⋊D4)⋊35C22 = C2×D10⋊D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4):35C2^2320,1161
(C2×C5⋊D4)⋊36C22 = C233D20φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):36C2^2320,1165
(C2×C5⋊D4)⋊37C22 = C4212D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):37C2^2320,1219
(C2×C5⋊D4)⋊38C22 = C243D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):38C2^2320,1261
(C2×C5⋊D4)⋊39C22 = C244D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):39C2^2320,1262
(C2×C5⋊D4)⋊40C22 = D2020D4φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):40C2^2320,1284
(C2×C5⋊D4)⋊41C22 = C10.1212+ 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):41C2^2320,1326
(C2×C5⋊D4)⋊42C22 = C2×C207D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4):42C2^2320,1462
(C2×C5⋊D4)⋊43C22 = C2×C23⋊D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):43C2^2320,1471
(C2×C5⋊D4)⋊44C22 = C2×C202D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4):44C2^2320,1472
(C2×C5⋊D4)⋊45C22 = D4×C5⋊D4φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):45C2^2320,1473
(C2×C5⋊D4)⋊46C22 = C2×Dic5⋊D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4):46C2^2320,1474
(C2×C5⋊D4)⋊47C22 = C2×C20⋊D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4):47C2^2320,1475
(C2×C5⋊D4)⋊48C22 = C248D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):48C2^2320,1476
(C2×C5⋊D4)⋊49C22 = C2×C242D5φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):49C2^2320,1512
(C2×C5⋊D4)⋊50C22 = C22×D4×D5φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):50C2^2320,1612
(C2×C5⋊D4)⋊51C22 = C22×D42D5φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4):51C2^2320,1613
(C2×C5⋊D4)⋊52C22 = C2×D46D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):52C2^2320,1614
(C2×C5⋊D4)⋊53C22 = C2×D5×C4○D4φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):53C2^2320,1618
(C2×C5⋊D4)⋊54C22 = C2×D48D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4):54C2^2320,1619
(C2×C5⋊D4)⋊55C22 = C10.C25φ: C22/C2C2 ⊆ Out C2×C5⋊D4804(C2xC5:D4):55C2^2320,1621
(C2×C5⋊D4)⋊56C22 = C22×C4○D20φ: trivial image160(C2xC5:D4):56C2^2320,1611

Non-split extensions G=N.Q with N=C2×C5⋊D4 and Q=C22
extensionφ:Q→Out NdρLabelID
(C2×C5⋊D4).1C22 = C23⋊C45D5φ: C22/C1C22 ⊆ Out C2×C5⋊D4808-(C2xC5:D4).1C2^2320,367
(C2×C5⋊D4).2C22 = C23⋊D20φ: C22/C1C22 ⊆ Out C2×C5⋊D4408+(C2xC5:D4).2C2^2320,368
(C2×C5⋊D4).3C22 = C23.5D20φ: C22/C1C22 ⊆ Out C2×C5⋊D4808-(C2xC5:D4).3C2^2320,369
(C2×C5⋊D4).4C22 = D5×C23⋊C4φ: C22/C1C22 ⊆ Out C2×C5⋊D4408+(C2xC5:D4).4C2^2320,370
(C2×C5⋊D4).5C22 = C242D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4404(C2xC5:D4).5C2^2320,659
(C2×C5⋊D4).6C22 = C22⋊C4⋊D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4804(C2xC5:D4).6C2^2320,680
(C2×C5⋊D4).7C22 = C24.30D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).7C2^2320,1166
(C2×C5⋊D4).8C22 = C24.31D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).8C2^2320,1167
(C2×C5⋊D4).9C22 = C4210D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).9C2^2320,1199
(C2×C5⋊D4).10C22 = C42.96D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).10C2^2320,1203
(C2×C5⋊D4).11C22 = C42.99D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).11C2^2320,1206
(C2×C5⋊D4).12C22 = C42.100D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).12C2^2320,1207
(C2×C5⋊D4).13C22 = C42.104D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).13C2^2320,1212
(C2×C5⋊D4).14C22 = Dic1024D4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).14C2^2320,1225
(C2×C5⋊D4).15C22 = D46D20φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).15C2^2320,1227
(C2×C5⋊D4).16C22 = C4216D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).16C2^2320,1228
(C2×C5⋊D4).17C22 = C42.113D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).17C2^2320,1230
(C2×C5⋊D4).18C22 = C42.115D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).18C2^2320,1233
(C2×C5⋊D4).19C22 = C42.116D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).19C2^2320,1234
(C2×C5⋊D4).20C22 = C42.117D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).20C2^2320,1235
(C2×C5⋊D4).21C22 = C42.119D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).21C2^2320,1237
(C2×C5⋊D4).22C22 = C245D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).22C2^2320,1266
(C2×C5⋊D4).23C22 = C20⋊(C4○D4)φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).23C2^2320,1268
(C2×C5⋊D4).24C22 = C10.682- 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).24C2^2320,1269
(C2×C5⋊D4).25C22 = Dic1020D4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).25C2^2320,1271
(C2×C5⋊D4).26C22 = C10.342+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).26C2^2320,1273
(C2×C5⋊D4).27C22 = C4⋊C421D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).27C2^2320,1278
(C2×C5⋊D4).28C22 = C10.392+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).28C2^2320,1280
(C2×C5⋊D4).29C22 = C10.732- 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).29C2^2320,1283
(C2×C5⋊D4).30C22 = C10.422+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).30C2^2320,1285
(C2×C5⋊D4).31C22 = C10.432+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).31C2^2320,1286
(C2×C5⋊D4).32C22 = C10.442+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).32C2^2320,1287
(C2×C5⋊D4).33C22 = C10.452+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).33C2^2320,1288
(C2×C5⋊D4).34C22 = C10.462+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).34C2^2320,1289
(C2×C5⋊D4).35C22 = C10.472+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).35C2^2320,1291
(C2×C5⋊D4).36C22 = C10.742- 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).36C2^2320,1293
(C2×C5⋊D4).37C22 = C22⋊Q825D5φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).37C2^2320,1296
(C2×C5⋊D4).38C22 = C4⋊C426D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).38C2^2320,1299
(C2×C5⋊D4).39C22 = C10.242- 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).39C2^2320,1315
(C2×C5⋊D4).40C22 = C10.562+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).40C2^2320,1316
(C2×C5⋊D4).41C22 = C10.572+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).41C2^2320,1317
(C2×C5⋊D4).42C22 = C10.582+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).42C2^2320,1318
(C2×C5⋊D4).43C22 = C10.262- 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).43C2^2320,1319
(C2×C5⋊D4).44C22 = C10.792- 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).44C2^2320,1320
(C2×C5⋊D4).45C22 = C4⋊C4.197D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).45C2^2320,1321
(C2×C5⋊D4).46C22 = D5×C22.D4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).46C2^2320,1324
(C2×C5⋊D4).47C22 = C10.1222+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).47C2^2320,1330
(C2×C5⋊D4).48C22 = C10.632+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).48C2^2320,1332
(C2×C5⋊D4).49C22 = C10.642+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).49C2^2320,1333
(C2×C5⋊D4).50C22 = C10.842- 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).50C2^2320,1334
(C2×C5⋊D4).51C22 = C10.662+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).51C2^2320,1335
(C2×C5⋊D4).52C22 = C10.672+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).52C2^2320,1336
(C2×C5⋊D4).53C22 = C10.852- 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).53C2^2320,1337
(C2×C5⋊D4).54C22 = C10.692+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).54C2^2320,1339
(C2×C5⋊D4).55C22 = C42.233D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).55C2^2320,1340
(C2×C5⋊D4).56C22 = C42.137D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).56C2^2320,1341
(C2×C5⋊D4).57C22 = C42.138D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).57C2^2320,1342
(C2×C5⋊D4).58C22 = D5×C4.4D4φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).58C2^2320,1345
(C2×C5⋊D4).59C22 = C42.141D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).59C2^2320,1347
(C2×C5⋊D4).60C22 = Dic1010D4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).60C2^2320,1349
(C2×C5⋊D4).61C22 = C4221D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).61C2^2320,1351
(C2×C5⋊D4).62C22 = C42.234D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).62C2^2320,1352
(C2×C5⋊D4).63C22 = C42.143D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).63C2^2320,1353
(C2×C5⋊D4).64C22 = C42.144D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).64C2^2320,1354
(C2×C5⋊D4).65C22 = C4222D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).65C2^2320,1355
(C2×C5⋊D4).66C22 = C42.145D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).66C2^2320,1356
(C2×C5⋊D4).67C22 = C42.160D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).67C2^2320,1374
(C2×C5⋊D4).68C22 = C4223D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).68C2^2320,1376
(C2×C5⋊D4).69C22 = C4224D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).69C2^2320,1377
(C2×C5⋊D4).70C22 = C42.189D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).70C2^2320,1378
(C2×C5⋊D4).71C22 = C42.161D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).71C2^2320,1379
(C2×C5⋊D4).72C22 = C42.162D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).72C2^2320,1380
(C2×C5⋊D4).73C22 = C42.163D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).73C2^2320,1381
(C2×C5⋊D4).74C22 = C42.164D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).74C2^2320,1382
(C2×C5⋊D4).75C22 = C4225D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).75C2^2320,1383
(C2×C5⋊D4).76C22 = C42.165D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).76C2^2320,1384
(C2×C5⋊D4).77C22 = C42.238D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).77C2^2320,1388
(C2×C5⋊D4).78C22 = Dic1011D4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).78C2^2320,1390
(C2×C5⋊D4).79C22 = C42.168D10φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).79C2^2320,1391
(C2×C5⋊D4).80C22 = C4228D10φ: C22/C1C22 ⊆ Out C2×C5⋊D480(C2xC5:D4).80C2^2320,1392
(C2×C5⋊D4).81C22 = C10.1042- 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).81C2^2320,1496
(C2×C5⋊D4).82C22 = C10.1472+ 1+4φ: C22/C1C22 ⊆ Out C2×C5⋊D4160(C2xC5:D4).82C2^2320,1505
(C2×C5⋊D4).83C22 = C5⋊C2≀C4φ: C22/C1C22 ⊆ Out C2×C5⋊D4408+(C2xC5:D4).83C2^2320,202
(C2×C5⋊D4).84C22 = C22⋊C4⋊F5φ: C22/C1C22 ⊆ Out C2×C5⋊D4808-(C2xC5:D4).84C2^2320,203
(C2×C5⋊D4).85C22 = (C22×C4)⋊F5φ: C22/C1C22 ⊆ Out C2×C5⋊D4804(C2xC5:D4).85C2^2320,254
(C2×C5⋊D4).86C22 = C242F5φ: C22/C1C22 ⊆ Out C2×C5⋊D4404(C2xC5:D4).86C2^2320,272
(C2×C5⋊D4).87C22 = (C2×D4)⋊7F5φ: C22/C1C22 ⊆ Out C2×C5⋊D4408+(C2xC5:D4).87C2^2320,1108
(C2×C5⋊D4).88C22 = (C2×D4)⋊8F5φ: C22/C1C22 ⊆ Out C2×C5⋊D4808-(C2xC5:D4).88C2^2320,1109
(C2×C5⋊D4).89C22 = (C2×D4).9F5φ: C22/C1C22 ⊆ Out C2×C5⋊D4808-(C2xC5:D4).89C2^2320,1115
(C2×C5⋊D4).90C22 = D5⋊(C4.D4)φ: C22/C1C22 ⊆ Out C2×C5⋊D4408+(C2xC5:D4).90C2^2320,1116
(C2×C5⋊D4).91C22 = C2×C23.1D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).91C2^2320,581
(C2×C5⋊D4).92C22 = (C2×D20)⋊25C4φ: C22/C2C2 ⊆ Out C2×C5⋊D4804(C2xC5:D4).92C2^2320,633
(C2×C5⋊D4).93C22 = C42.276D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).93C2^2320,1149
(C2×C5⋊D4).94C22 = C42.277D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).94C2^2320,1151
(C2×C5⋊D4).95C22 = C2×Dic54D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).95C2^2320,1157
(C2×C5⋊D4).96C22 = C24.24D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).96C2^2320,1158
(C2×C5⋊D4).97C22 = C2×D10.12D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).97C2^2320,1160
(C2×C5⋊D4).98C22 = C2×Dic5.5D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).98C2^2320,1163
(C2×C5⋊D4).99C22 = C2×C22.D20φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).99C2^2320,1164
(C2×C5⋊D4).100C22 = C10.2- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).100C2^2320,1179
(C2×C5⋊D4).101C22 = C10.2+ 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).101C2^2320,1182
(C2×C5⋊D4).102C22 = C10.52- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).102C2^2320,1185
(C2×C5⋊D4).103C22 = C10.112+ 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).103C2^2320,1186
(C2×C5⋊D4).104C22 = C10.62- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).104C2^2320,1187
(C2×C5⋊D4).105C22 = C42.188D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).105C2^2320,1194
(C2×C5⋊D4).106C22 = C42.91D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).106C2^2320,1195
(C2×C5⋊D4).107C22 = C428D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).107C2^2320,1196
(C2×C5⋊D4).108C22 = C429D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).108C2^2320,1197
(C2×C5⋊D4).109C22 = C42.92D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).109C2^2320,1198
(C2×C5⋊D4).110C22 = C42.93D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).110C2^2320,1200
(C2×C5⋊D4).111C22 = C42.94D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).111C2^2320,1201
(C2×C5⋊D4).112C22 = C42.95D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).112C2^2320,1202
(C2×C5⋊D4).113C22 = C42.97D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).113C2^2320,1204
(C2×C5⋊D4).114C22 = C42.98D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).114C2^2320,1205
(C2×C5⋊D4).115C22 = C4×D42D5φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).115C2^2320,1208
(C2×C5⋊D4).116C22 = C42.102D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).116C2^2320,1210
(C2×C5⋊D4).117C22 = C4×D4×D5φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).117C2^2320,1216
(C2×C5⋊D4).118C22 = C4211D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).118C2^2320,1217
(C2×C5⋊D4).119C22 = C42.108D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).119C2^2320,1218
(C2×C5⋊D4).120C22 = C42.228D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).120C2^2320,1220
(C2×C5⋊D4).121C22 = D2024D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).121C2^2320,1223
(C2×C5⋊D4).122C22 = Dic1023D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).122C2^2320,1224
(C2×C5⋊D4).123C22 = C42.229D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).123C2^2320,1229
(C2×C5⋊D4).124C22 = C42.114D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).124C2^2320,1231
(C2×C5⋊D4).125C22 = C42.118D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).125C2^2320,1236
(C2×C5⋊D4).126C22 = Dic1019D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).126C2^2320,1270
(C2×C5⋊D4).127C22 = C10.1152+ 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).127C2^2320,1290
(C2×C5⋊D4).128C22 = C10.162- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).128C2^2320,1300
(C2×C5⋊D4).129C22 = C10.172- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).129C2^2320,1301
(C2×C5⋊D4).130C22 = D2021D4φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).130C2^2320,1302
(C2×C5⋊D4).131C22 = D2022D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).131C2^2320,1303
(C2×C5⋊D4).132C22 = Dic1021D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).132C2^2320,1304
(C2×C5⋊D4).133C22 = Dic1022D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).133C2^2320,1305
(C2×C5⋊D4).134C22 = C10.1182+ 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).134C2^2320,1307
(C2×C5⋊D4).135C22 = C10.522+ 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).135C2^2320,1308
(C2×C5⋊D4).136C22 = C10.532+ 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).136C2^2320,1309
(C2×C5⋊D4).137C22 = C10.202- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).137C2^2320,1310
(C2×C5⋊D4).138C22 = C10.212- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).138C2^2320,1311
(C2×C5⋊D4).139C22 = C10.222- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).139C2^2320,1312
(C2×C5⋊D4).140C22 = C10.232- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).140C2^2320,1313
(C2×C5⋊D4).141C22 = C10.772- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).141C2^2320,1314
(C2×C5⋊D4).142C22 = C10.822- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).142C2^2320,1327
(C2×C5⋊D4).143C22 = C10.622+ 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).143C2^2320,1331
(C2×C5⋊D4).144C22 = C2×C23.23D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).144C2^2320,1461
(C2×C5⋊D4).145C22 = C24.72D10φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).145C2^2320,1463
(C2×C5⋊D4).146C22 = C10.442- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).146C2^2320,1488
(C2×C5⋊D4).147C22 = C10.452- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).147C2^2320,1489
(C2×C5⋊D4).148C22 = (C2×C20)⋊15D4φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).148C2^2320,1500
(C2×C5⋊D4).149C22 = C10.1072- 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).149C2^2320,1503
(C2×C5⋊D4).150C22 = (C2×C20)⋊17D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).150C2^2320,1504
(C2×C5⋊D4).151C22 = C10.1482+ 1+4φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).151C2^2320,1506
(C2×C5⋊D4).152C22 = C2×D4.10D10φ: C22/C2C2 ⊆ Out C2×C5⋊D4160(C2xC5:D4).152C2^2320,1620
(C2×C5⋊D4).153C22 = C23⋊F55C2φ: C22/C2C2 ⊆ Out C2×C5⋊D4804(C2xC5:D4).153C2^2320,1083
(C2×C5⋊D4).154C22 = (C4×D5).D4φ: C22/C2C2 ⊆ Out C2×C5⋊D4804(C2xC5:D4).154C2^2320,1099
(C2×C5⋊D4).155C22 = C2×C23⋊F5φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).155C2^2320,1134
(C2×C5⋊D4).156C22 = C2×C23.F5φ: C22/C2C2 ⊆ Out C2×C5⋊D480(C2xC5:D4).156C2^2320,1137
(C2×C5⋊D4).157C22 = C4×C4○D20φ: trivial image160(C2xC5:D4).157C2^2320,1146
(C2×C5⋊D4).158C22 = C10.82+ 1+4φ: trivial image160(C2xC5:D4).158C2^2320,1176
(C2×C5⋊D4).159C22 = C10.102+ 1+4φ: trivial image160(C2xC5:D4).159C2^2320,1183
(C2×C5⋊D4).160C22 = C2×C4×C5⋊D4φ: trivial image160(C2xC5:D4).160C2^2320,1460
(C2×C5⋊D4).161C22 = Q8×C5⋊D4φ: trivial image160(C2xC5:D4).161C2^2320,1487
(C2×C5⋊D4).162C22 = C2×Q8.10D10φ: trivial image160(C2xC5:D4).162C2^2320,1617

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