# Extensions 1→N→G→Q→1 with N=C22×C10 and Q=C23

Direct product G=N×Q with N=C22×C10 and Q=C23
dρLabelID
C25×C10320C2^5xC10320,1640

Semidirect products G=N:Q with N=C22×C10 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C22×C10)⋊1C23 = D5×C22≀C2φ: C23/C1C23 ⊆ Aut C22×C1040(C2^2xC10):1C2^3320,1260
(C22×C10)⋊2C23 = D5×2+ 1+4φ: C23/C1C23 ⊆ Aut C22×C10408+(C2^2xC10):2C2^3320,1622
(C22×C10)⋊3C23 = C10×C22≀C2φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10):3C2^3320,1523
(C22×C10)⋊4C23 = C10×2+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10):4C2^3320,1632
(C22×C10)⋊5C23 = C2×C23⋊D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10):5C2^3320,1471
(C22×C10)⋊6C23 = C22×D4×D5φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10):6C2^3320,1612
(C22×C10)⋊7C23 = C2×D46D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10):7C2^3320,1614
(C22×C10)⋊8C23 = D4×C22×C10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10):8C2^3320,1629
(C22×C10)⋊9C23 = C23×C5⋊D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10):9C2^3320,1627
(C22×C10)⋊10C23 = D5×C25φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10):10C2^3320,1639

Non-split extensions G=N.Q with N=C22×C10 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C22×C10).1C23 = C23⋊C45D5φ: C23/C1C23 ⊆ Aut C22×C10808-(C2^2xC10).1C2^3320,367
(C22×C10).2C23 = C23⋊D20φ: C23/C1C23 ⊆ Aut C22×C10408+(C2^2xC10).2C2^3320,368
(C22×C10).3C23 = C23.5D20φ: C23/C1C23 ⊆ Aut C22×C10808-(C2^2xC10).3C2^3320,369
(C22×C10).4C23 = D5×C23⋊C4φ: C23/C1C23 ⊆ Aut C22×C10408+(C2^2xC10).4C2^3320,370
(C22×C10).5C23 = 2+ 1+4.2D5φ: C23/C1C23 ⊆ Aut C22×C10808-(C2^2xC10).5C2^3320,870
(C22×C10).6C23 = 2+ 1+42D5φ: C23/C1C23 ⊆ Aut C22×C10408+(C2^2xC10).6C2^3320,871
(C22×C10).7C23 = C24.56D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).7C2^3320,1258
(C22×C10).8C23 = C243D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).8C2^3320,1261
(C22×C10).9C23 = C24.33D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).9C2^3320,1263
(C22×C10).10C23 = C24.34D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).10C2^3320,1264
(C22×C10).11C23 = C20⋊(C4○D4)φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).11C2^3320,1268
(C22×C10).12C23 = C10.682- 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).12C2^3320,1269
(C22×C10).13C23 = Dic1019D4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).13C2^3320,1270
(C22×C10).14C23 = Dic1020D4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).14C2^3320,1271
(C22×C10).15C23 = C4⋊C4.178D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).15C2^3320,1272
(C22×C10).16C23 = C10.342+ 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).16C2^3320,1273
(C22×C10).17C23 = C10.352+ 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).17C2^3320,1274
(C22×C10).18C23 = C10.372+ 1+4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).18C2^3320,1277
(C22×C10).19C23 = C4⋊C421D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).19C2^3320,1278
(C22×C10).20C23 = C10.382+ 1+4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).20C2^3320,1279
(C22×C10).21C23 = C10.402+ 1+4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).21C2^3320,1282
(C22×C10).22C23 = C10.732- 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).22C2^3320,1283
(C22×C10).23C23 = D2020D4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).23C2^3320,1284
(C22×C10).24C23 = C10.422+ 1+4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).24C2^3320,1285
(C22×C10).25C23 = C10.432+ 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).25C2^3320,1286
(C22×C10).26C23 = C10.442+ 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).26C2^3320,1287
(C22×C10).27C23 = C10.462+ 1+4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).27C2^3320,1289
(C22×C10).28C23 = C10.792- 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).28C2^3320,1320
(C22×C10).29C23 = C4⋊C4.197D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).29C2^3320,1321
(C22×C10).30C23 = C10.802- 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).30C2^3320,1322
(C22×C10).31C23 = D5×C22.D4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).31C2^3320,1324
(C22×C10).32C23 = C10.1202+ 1+4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).32C2^3320,1325
(C22×C10).33C23 = C10.1212+ 1+4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).33C2^3320,1326
(C22×C10).34C23 = C10.822- 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).34C2^3320,1327
(C22×C10).35C23 = C4⋊C428D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).35C2^3320,1328
(C22×C10).36C23 = C10.632+ 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).36C2^3320,1332
(C22×C10).37C23 = C10.642+ 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).37C2^3320,1333
(C22×C10).38C23 = C10.842- 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).38C2^3320,1334
(C22×C10).39C23 = C10.662+ 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).39C2^3320,1335
(C22×C10).40C23 = C10.672+ 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).40C2^3320,1336
(C22×C10).41C23 = C10.852- 1+4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).41C2^3320,1337
(C22×C10).42C23 = C42.233D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).42C2^3320,1340
(C22×C10).43C23 = C42.137D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).43C2^3320,1341
(C22×C10).44C23 = C42.138D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).44C2^3320,1342
(C22×C10).45C23 = C42.139D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).45C2^3320,1343
(C22×C10).46C23 = C42.140D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).46C2^3320,1344
(C22×C10).47C23 = D5×C4.4D4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).47C2^3320,1345
(C22×C10).48C23 = C4218D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).48C2^3320,1346
(C22×C10).49C23 = C42.141D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).49C2^3320,1347
(C22×C10).50C23 = D2010D4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).50C2^3320,1348
(C22×C10).51C23 = Dic1010D4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).51C2^3320,1349
(C22×C10).52C23 = C4220D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).52C2^3320,1350
(C22×C10).53C23 = C4221D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).53C2^3320,1351
(C22×C10).54C23 = C42.234D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).54C2^3320,1352
(C22×C10).55C23 = C42.143D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).55C2^3320,1353
(C22×C10).56C23 = C42.144D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).56C2^3320,1354
(C22×C10).57C23 = C4222D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).57C2^3320,1355
(C22×C10).58C23 = C42.145D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).58C2^3320,1356
(C22×C10).59C23 = C42.159D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).59C2^3320,1373
(C22×C10).60C23 = C42.160D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).60C2^3320,1374
(C22×C10).61C23 = D5×C422C2φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).61C2^3320,1375
(C22×C10).62C23 = C4223D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).62C2^3320,1376
(C22×C10).63C23 = C4224D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).63C2^3320,1377
(C22×C10).64C23 = C42.189D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).64C2^3320,1378
(C22×C10).65C23 = C42.161D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).65C2^3320,1379
(C22×C10).66C23 = C42.162D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).66C2^3320,1380
(C22×C10).67C23 = C42.163D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).67C2^3320,1381
(C22×C10).68C23 = C42.164D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).68C2^3320,1382
(C22×C10).69C23 = C4225D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).69C2^3320,1383
(C22×C10).70C23 = C42.165D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).70C2^3320,1384
(C22×C10).71C23 = C42.166D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).71C2^3320,1385
(C22×C10).72C23 = D5×C41D4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).72C2^3320,1386
(C22×C10).73C23 = C4226D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).73C2^3320,1387
(C22×C10).74C23 = C42.238D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).74C2^3320,1388
(C22×C10).75C23 = D2011D4φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).75C2^3320,1389
(C22×C10).76C23 = Dic1011D4φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).76C2^3320,1390
(C22×C10).77C23 = C42.168D10φ: C23/C1C23 ⊆ Aut C22×C10160(C2^2xC10).77C2^3320,1391
(C22×C10).78C23 = C4228D10φ: C23/C1C23 ⊆ Aut C22×C1080(C2^2xC10).78C2^3320,1392
(C22×C10).79C23 = D20.37C23φ: C23/C1C23 ⊆ Aut C22×C10808-(C2^2xC10).79C2^3320,1623
(C22×C10).80C23 = C10×C23⋊C4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).80C2^3320,910
(C22×C10).81C23 = C5×C23.C23φ: C23/C2C22 ⊆ Aut C22×C10804(C2^2xC10).81C2^3320,911
(C22×C10).82C23 = C5×C2≀C22φ: C23/C2C22 ⊆ Aut C22×C10404(C2^2xC10).82C2^3320,958
(C22×C10).83C23 = C5×C23.7D4φ: C23/C2C22 ⊆ Aut C22×C10804(C2^2xC10).83C2^3320,959
(C22×C10).84C23 = C5×C22.19C24φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).84C2^3320,1527
(C22×C10).85C23 = C10×C4.4D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).85C2^3320,1528
(C22×C10).86C23 = C10×C422C2φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).86C2^3320,1530
(C22×C10).87C23 = C5×C23.36C23φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).87C2^3320,1531
(C22×C10).88C23 = C10×C41D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).88C2^3320,1532
(C22×C10).89C23 = C5×C22.26C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).89C2^3320,1534
(C22×C10).90C23 = C5×C233D4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).90C2^3320,1536
(C22×C10).91C23 = C5×C22.29C24φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).91C2^3320,1537
(C22×C10).92C23 = C5×C22.31C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).92C2^3320,1539
(C22×C10).93C23 = C5×C22.32C24φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).93C2^3320,1540
(C22×C10).94C23 = C5×C22.33C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).94C2^3320,1541
(C22×C10).95C23 = C5×C22.34C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).95C2^3320,1542
(C22×C10).96C23 = C5×C22.35C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).96C2^3320,1543
(C22×C10).97C23 = C5×C22.36C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).97C2^3320,1544
(C22×C10).98C23 = C5×D45D4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).98C2^3320,1548
(C22×C10).99C23 = C5×D46D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).99C2^3320,1549
(C22×C10).100C23 = C5×Q85D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).100C2^3320,1550
(C22×C10).101C23 = C5×Q86D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).101C2^3320,1552
(C22×C10).102C23 = C5×C22.47C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).102C2^3320,1555
(C22×C10).103C23 = C5×C22.49C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).103C2^3320,1557
(C22×C10).104C23 = C5×C22.50C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).104C2^3320,1558
(C22×C10).105C23 = C5×C22.53C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).105C2^3320,1561
(C22×C10).106C23 = C5×C22.54C24φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).106C2^3320,1562
(C22×C10).107C23 = C5×C24⋊C22φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).107C2^3320,1563
(C22×C10).108C23 = C5×C22.56C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).108C2^3320,1564
(C22×C10).109C23 = C5×C22.57C24φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).109C2^3320,1565
(C22×C10).110C23 = C5×C2.C25φ: C23/C2C22 ⊆ Aut C22×C10804(C2^2xC10).110C2^3320,1634
(C22×C10).111C23 = C2×C23.1D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).111C2^3320,581
(C22×C10).112C23 = (C2×D20)⋊25C4φ: C23/C2C22 ⊆ Aut C22×C10804(C2^2xC10).112C2^3320,633
(C22×C10).113C23 = C242D10φ: C23/C2C22 ⊆ Aut C22×C10404(C2^2xC10).113C2^3320,659
(C22×C10).114C23 = C22⋊C4⋊D10φ: C23/C2C22 ⊆ Aut C22×C10804(C2^2xC10).114C2^3320,680
(C22×C10).115C23 = C2×C23⋊Dic5φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).115C2^3320,846
(C22×C10).116C23 = (D4×C10)⋊22C4φ: C23/C2C22 ⊆ Aut C22×C10804(C2^2xC10).116C2^3320,867
(C22×C10).117C23 = C2×Dic5.14D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).117C2^3320,1153
(C22×C10).118C23 = C2×C23.D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).118C2^3320,1154
(C22×C10).119C23 = C232Dic10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).119C2^3320,1155
(C22×C10).120C23 = C2×D5×C22⋊C4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).120C2^3320,1156
(C22×C10).121C23 = C2×Dic54D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).121C2^3320,1157
(C22×C10).122C23 = C24.24D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).122C2^3320,1158
(C22×C10).123C23 = C2×C22⋊D20φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).123C2^3320,1159
(C22×C10).124C23 = C2×D10.12D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).124C2^3320,1160
(C22×C10).125C23 = C2×D10⋊D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).125C2^3320,1161
(C22×C10).126C23 = C2×C22.D20φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).126C2^3320,1164
(C22×C10).127C23 = C233D20φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).127C2^3320,1165
(C22×C10).128C23 = C24.30D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).128C2^3320,1166
(C22×C10).129C23 = C24.31D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).129C2^3320,1167
(C22×C10).130C23 = C42.87D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).130C2^3320,1188
(C22×C10).131C23 = C42.88D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).131C2^3320,1189
(C22×C10).132C23 = C42.89D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).132C2^3320,1190
(C22×C10).133C23 = C42.90D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).133C2^3320,1191
(C22×C10).134C23 = D5×C42⋊C2φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).134C2^3320,1192
(C22×C10).135C23 = C427D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).135C2^3320,1193
(C22×C10).136C23 = C42.188D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).136C2^3320,1194
(C22×C10).137C23 = C42.91D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).137C2^3320,1195
(C22×C10).138C23 = C428D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).138C2^3320,1196
(C22×C10).139C23 = C429D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).139C2^3320,1197
(C22×C10).140C23 = C42.92D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).140C2^3320,1198
(C22×C10).141C23 = C4210D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).141C2^3320,1199
(C22×C10).142C23 = C42.93D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).142C2^3320,1200
(C22×C10).143C23 = C42.94D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).143C2^3320,1201
(C22×C10).144C23 = C42.95D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).144C2^3320,1202
(C22×C10).145C23 = C42.96D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).145C2^3320,1203
(C22×C10).146C23 = C42.97D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).146C2^3320,1204
(C22×C10).147C23 = C42.98D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).147C2^3320,1205
(C22×C10).148C23 = C42.99D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).148C2^3320,1206
(C22×C10).149C23 = C42.100D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).149C2^3320,1207
(C22×C10).150C23 = C4×D42D5φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).150C2^3320,1208
(C22×C10).151C23 = D4×Dic10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).151C2^3320,1209
(C22×C10).152C23 = C42.102D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).152C2^3320,1210
(C22×C10).153C23 = D45Dic10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).153C2^3320,1211
(C22×C10).154C23 = C42.104D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).154C2^3320,1212
(C22×C10).155C23 = C42.105D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).155C2^3320,1213
(C22×C10).156C23 = C42.106D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).156C2^3320,1214
(C22×C10).157C23 = D46Dic10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).157C2^3320,1215
(C22×C10).158C23 = C4×D4×D5φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).158C2^3320,1216
(C22×C10).159C23 = C4211D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).159C2^3320,1217
(C22×C10).160C23 = C42.108D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).160C2^3320,1218
(C22×C10).161C23 = C4212D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).161C2^3320,1219
(C22×C10).162C23 = C42.228D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).162C2^3320,1220
(C22×C10).163C23 = D4×D20φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).163C2^3320,1221
(C22×C10).164C23 = D2023D4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).164C2^3320,1222
(C22×C10).165C23 = D2024D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).165C2^3320,1223
(C22×C10).166C23 = Dic1023D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).166C2^3320,1224
(C22×C10).167C23 = Dic1024D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).167C2^3320,1225
(C22×C10).168C23 = D45D20φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).168C2^3320,1226
(C22×C10).169C23 = D46D20φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).169C2^3320,1227
(C22×C10).170C23 = C4216D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).170C2^3320,1228
(C22×C10).171C23 = C42.229D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).171C2^3320,1229
(C22×C10).172C23 = C42.113D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).172C2^3320,1230
(C22×C10).173C23 = C42.114D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).173C2^3320,1231
(C22×C10).174C23 = C4217D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).174C2^3320,1232
(C22×C10).175C23 = C42.115D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).175C2^3320,1233
(C22×C10).176C23 = C42.116D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).176C2^3320,1234
(C22×C10).177C23 = C42.117D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).177C2^3320,1235
(C22×C10).178C23 = C42.118D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).178C2^3320,1236
(C22×C10).179C23 = C42.119D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).179C2^3320,1237
(C22×C10).180C23 = C24.32D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).180C2^3320,1259
(C22×C10).181C23 = C244D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).181C2^3320,1262
(C22×C10).182C23 = C24.35D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).182C2^3320,1265
(C22×C10).183C23 = C245D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).183C2^3320,1266
(C22×C10).184C23 = C24.36D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).184C2^3320,1267
(C22×C10).185C23 = C10.362+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).185C2^3320,1275
(C22×C10).186C23 = D5×C4⋊D4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).186C2^3320,1276
(C22×C10).187C23 = C10.392+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).187C2^3320,1280
(C22×C10).188C23 = D2019D4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).188C2^3320,1281
(C22×C10).189C23 = C10.452+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).189C2^3320,1288
(C22×C10).190C23 = C10.1152+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).190C2^3320,1290
(C22×C10).191C23 = C10.472+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).191C2^3320,1291
(C22×C10).192C23 = C10.482+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).192C2^3320,1292
(C22×C10).193C23 = C10.742- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).193C2^3320,1293
(C22×C10).194C23 = (Q8×Dic5)⋊C2φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).194C2^3320,1294
(C22×C10).195C23 = C10.502+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).195C2^3320,1295
(C22×C10).196C23 = C22⋊Q825D5φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).196C2^3320,1296
(C22×C10).197C23 = C10.152- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).197C2^3320,1297
(C22×C10).198C23 = D5×C22⋊Q8φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).198C2^3320,1298
(C22×C10).199C23 = C4⋊C426D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).199C2^3320,1299
(C22×C10).200C23 = C10.162- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).200C2^3320,1300
(C22×C10).201C23 = C10.172- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).201C2^3320,1301
(C22×C10).202C23 = D2021D4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).202C2^3320,1302
(C22×C10).203C23 = D2022D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).203C2^3320,1303
(C22×C10).204C23 = Dic1021D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).204C2^3320,1304
(C22×C10).205C23 = Dic1022D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).205C2^3320,1305
(C22×C10).206C23 = C10.512+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).206C2^3320,1306
(C22×C10).207C23 = C10.1182+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).207C2^3320,1307
(C22×C10).208C23 = C10.522+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).208C2^3320,1308
(C22×C10).209C23 = C10.532+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).209C2^3320,1309
(C22×C10).210C23 = C10.202- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).210C2^3320,1310
(C22×C10).211C23 = C10.212- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).211C2^3320,1311
(C22×C10).212C23 = C10.222- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).212C2^3320,1312
(C22×C10).213C23 = C10.232- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).213C2^3320,1313
(C22×C10).214C23 = C10.772- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).214C2^3320,1314
(C22×C10).215C23 = C10.242- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).215C2^3320,1315
(C22×C10).216C23 = C10.562+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).216C2^3320,1316
(C22×C10).217C23 = C10.572+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).217C2^3320,1317
(C22×C10).218C23 = C10.582+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).218C2^3320,1318
(C22×C10).219C23 = C10.262- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).219C2^3320,1319
(C22×C10).220C23 = C10.812- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).220C2^3320,1323
(C22×C10).221C23 = C10.612+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).221C2^3320,1329
(C22×C10).222C23 = C10.1222+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).222C2^3320,1330
(C22×C10).223C23 = C10.622+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).223C2^3320,1331
(C22×C10).224C23 = C10.682+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).224C2^3320,1338
(C22×C10).225C23 = C10.692+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).225C2^3320,1339
(C22×C10).226C23 = C2×D4×Dic5φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).226C2^3320,1467
(C22×C10).227C23 = C2×C23.18D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).227C2^3320,1468
(C22×C10).228C23 = C2×C20.17D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).228C2^3320,1469
(C22×C10).229C23 = C24.38D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).229C2^3320,1470
(C22×C10).230C23 = D4×C5⋊D4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).230C2^3320,1473
(C22×C10).231C23 = C2×Dic5⋊D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).231C2^3320,1474
(C22×C10).232C23 = C2×C20⋊D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).232C2^3320,1475
(C22×C10).233C23 = C248D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).233C2^3320,1476
(C22×C10).234C23 = C24.41D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).234C2^3320,1477
(C22×C10).235C23 = C24.42D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).235C2^3320,1478
(C22×C10).236C23 = C10.1042- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).236C2^3320,1496
(C22×C10).237C23 = C10.1052- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).237C2^3320,1497
(C22×C10).238C23 = C4○D4×Dic5φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).238C2^3320,1498
(C22×C10).239C23 = C10.1062- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).239C2^3320,1499
(C22×C10).240C23 = (C2×C20)⋊15D4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).240C2^3320,1500
(C22×C10).241C23 = C10.1452+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).241C2^3320,1501
(C22×C10).242C23 = C10.1462+ 1+4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).242C2^3320,1502
(C22×C10).243C23 = C10.1072- 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).243C2^3320,1503
(C22×C10).244C23 = (C2×C20)⋊17D4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).244C2^3320,1504
(C22×C10).245C23 = C10.1472+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).245C2^3320,1505
(C22×C10).246C23 = C10.1482+ 1+4φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).246C2^3320,1506
(C22×C10).247C23 = C2×D5×C4○D4φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).247C2^3320,1618
(C22×C10).248C23 = C2×D48D10φ: C23/C2C22 ⊆ Aut C22×C1080(C2^2xC10).248C2^3320,1619
(C22×C10).249C23 = C2×D4.10D10φ: C23/C2C22 ⊆ Aut C22×C10160(C2^2xC10).249C2^3320,1620
(C22×C10).250C23 = C10.C25φ: C23/C2C22 ⊆ Aut C22×C10804(C2^2xC10).250C2^3320,1621
(C22×C10).251C23 = C22⋊C4×C2×C10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).251C2^3320,1514
(C22×C10).252C23 = D4×C2×C20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).252C2^3320,1517
(C22×C10).253C23 = C4○D4×C20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).253C2^3320,1519
(C22×C10).254C23 = C5×C22.11C24φ: C23/C22C2 ⊆ Aut C22×C1080(C2^2xC10).254C2^3320,1520
(C22×C10).255C23 = C5×C23.32C23φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).255C2^3320,1521
(C22×C10).256C23 = C5×C23.33C23φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).256C2^3320,1522
(C22×C10).257C23 = C10×C4⋊D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).257C2^3320,1524
(C22×C10).258C23 = C10×C22⋊Q8φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).258C2^3320,1525
(C22×C10).259C23 = C10×C22.D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).259C2^3320,1526
(C22×C10).260C23 = C5×C23.37C23φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).260C2^3320,1535
(C22×C10).261C23 = C5×C23.38C23φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).261C2^3320,1538
(C22×C10).262C23 = C5×C232Q8φ: C23/C22C2 ⊆ Aut C22×C1080(C2^2xC10).262C2^3320,1545
(C22×C10).263C23 = C5×C23.41C23φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).263C2^3320,1546
(C22×C10).264C23 = C5×D42φ: C23/C22C2 ⊆ Aut C22×C1080(C2^2xC10).264C2^3320,1547
(C22×C10).265C23 = C5×D4×Q8φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).265C2^3320,1551
(C22×C10).266C23 = C5×C22.45C24φ: C23/C22C2 ⊆ Aut C22×C1080(C2^2xC10).266C2^3320,1553
(C22×C10).267C23 = C5×C22.46C24φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).267C2^3320,1554
(C22×C10).268C23 = C5×D43Q8φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).268C2^3320,1556
(C22×C10).269C23 = C4○D4×C2×C10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).269C2^3320,1631
(C22×C10).270C23 = C10×2- 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).270C2^3320,1633
(C22×C10).271C23 = (C2×C20)⋊Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).271C2^3320,273
(C22×C10).272C23 = C10.49(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).272C2^3320,274
(C22×C10).273C23 = Dic5.15C42φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).273C2^3320,275
(C22×C10).274C23 = Dic52C42φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).274C2^3320,276
(C22×C10).275C23 = C52(C428C4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).275C2^3320,277
(C22×C10).276C23 = C52(C425C4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).276C2^3320,278
(C22×C10).277C23 = C10.51(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).277C2^3320,279
(C22×C10).278C23 = C2.(C4×D20)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).278C2^3320,280
(C22×C10).279C23 = C4⋊Dic515C4φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).279C2^3320,281
(C22×C10).280C23 = C10.52(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).280C2^3320,282
(C22×C10).281C23 = (C2×Dic5)⋊Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).281C2^3320,283
(C22×C10).282C23 = C2.(C20⋊Q8)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).282C2^3320,284
(C22×C10).283C23 = (C2×Dic5).Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).283C2^3320,285
(C22×C10).284C23 = (C2×C20).28D4φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).284C2^3320,286
(C22×C10).285C23 = (C2×C4).Dic10φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).285C2^3320,287
(C22×C10).286C23 = C10.(C4⋊Q8)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).286C2^3320,288
(C22×C10).287C23 = (C22×C4).D10φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).287C2^3320,289
(C22×C10).288C23 = D5×C2.C42φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).288C2^3320,290
(C22×C10).289C23 = C22.58(D4×D5)φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).289C2^3320,291
(C22×C10).290C23 = (C2×C4)⋊9D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).290C2^3320,292
(C22×C10).291C23 = D102C42φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).291C2^3320,293
(C22×C10).292C23 = D102(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).292C2^3320,294
(C22×C10).293C23 = D103(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).293C2^3320,295
(C22×C10).294C23 = C10.54(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).294C2^3320,296
(C22×C10).295C23 = C10.55(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).295C2^3320,297
(C22×C10).296C23 = (C2×C20)⋊5D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).296C2^3320,298
(C22×C10).297C23 = (C2×Dic5)⋊3D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).297C2^3320,299
(C22×C10).298C23 = (C2×C4).20D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).298C2^3320,300
(C22×C10).299C23 = (C2×C4).21D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).299C2^3320,301
(C22×C10).300C23 = C10.(C4⋊D4)φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).300C2^3320,302
(C22×C10).301C23 = (C22×D5).Q8φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).301C2^3320,303
(C22×C10).302C23 = (C2×C20).33D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).302C2^3320,304
(C22×C10).303C23 = C207(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).303C2^3320,555
(C22×C10).304C23 = (C2×C20)⋊10Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).304C2^3320,556
(C22×C10).305C23 = C42×Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).305C2^3320,557
(C22×C10).306C23 = C4×C10.D4φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).306C2^3320,558
(C22×C10).307C23 = C424Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).307C2^3320,559
(C22×C10).308C23 = C10.92(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).308C2^3320,560
(C22×C10).309C23 = C4×C4⋊Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).309C2^3320,561
(C22×C10).310C23 = C428Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).310C2^3320,562
(C22×C10).311C23 = C429Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).311C2^3320,563
(C22×C10).312C23 = C425Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).312C2^3320,564
(C22×C10).313C23 = C4×D10⋊C4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).313C2^3320,565
(C22×C10).314C23 = (C2×C4)⋊6D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).314C2^3320,566
(C22×C10).315C23 = (C2×C42)⋊D5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).315C2^3320,567
(C22×C10).316C23 = C22⋊C4×Dic5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).316C2^3320,568
(C22×C10).317C23 = C24.44D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).317C2^3320,569
(C22×C10).318C23 = C23.42D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).318C2^3320,570
(C22×C10).319C23 = C24.3D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).319C2^3320,571
(C22×C10).320C23 = C24.4D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).320C2^3320,572
(C22×C10).321C23 = C24.46D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).321C2^3320,573
(C22×C10).322C23 = C23⋊Dic10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).322C2^3320,574
(C22×C10).323C23 = C24.6D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).323C2^3320,575
(C22×C10).324C23 = C24.7D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).324C2^3320,576
(C22×C10).325C23 = C24.47D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).325C2^3320,577
(C22×C10).326C23 = C24.8D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).326C2^3320,578
(C22×C10).327C23 = C24.9D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).327C2^3320,579
(C22×C10).328C23 = C23.14D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).328C2^3320,580
(C22×C10).329C23 = C24.48D10φ: C23/C22C2 ⊆ Aut C22×C1080(C2^2xC10).329C2^3320,582
(C22×C10).330C23 = C24.12D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).330C2^3320,583
(C22×C10).331C23 = C24.13D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).331C2^3320,584
(C22×C10).332C23 = C23.45D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).332C2^3320,585
(C22×C10).333C23 = C24.14D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).333C2^3320,586
(C22×C10).334C23 = C232D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).334C2^3320,587
(C22×C10).335C23 = C24.16D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).335C2^3320,588
(C22×C10).336C23 = C10.96(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).336C2^3320,599
(C22×C10).337C23 = C204(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).337C2^3320,600
(C22×C10).338C23 = (C2×Dic5)⋊6Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).338C2^3320,601
(C22×C10).339C23 = C4⋊C4×Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).339C2^3320,602
(C22×C10).340C23 = C205(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).340C2^3320,603
(C22×C10).341C23 = C20.48(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).341C2^3320,604
(C22×C10).342C23 = C10.97(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).342C2^3320,605
(C22×C10).343C23 = (C2×C4)⋊Dic10φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).343C2^3320,606
(C22×C10).344C23 = (C2×C20).287D4φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).344C2^3320,607
(C22×C10).345C23 = C4⋊C45Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).345C2^3320,608
(C22×C10).346C23 = (C2×C20).288D4φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).346C2^3320,609
(C22×C10).347C23 = (C2×C20).53D4φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).347C2^3320,610
(C22×C10).348C23 = (C2×C20).54D4φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).348C2^3320,611
(C22×C10).349C23 = C206(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).349C2^3320,612
(C22×C10).350C23 = (C2×C20).55D4φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).350C2^3320,613
(C22×C10).351C23 = D104(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).351C2^3320,614
(C22×C10).352C23 = (C2×D20)⋊22C4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).352C2^3320,615
(C22×C10).353C23 = D105(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).353C2^3320,616
(C22×C10).354C23 = C10.90(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).354C2^3320,617
(C22×C10).355C23 = (C2×C4)⋊3D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).355C2^3320,618
(C22×C10).356C23 = (C2×C20).289D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).356C2^3320,619
(C22×C10).357C23 = (C2×C20).290D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).357C2^3320,620
(C22×C10).358C23 = (C2×C20).56D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).358C2^3320,621
(C22×C10).359C23 = C2×C10.10C42φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).359C2^3320,835
(C22×C10).360C23 = C4×C23.D5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).360C2^3320,836
(C22×C10).361C23 = C24.62D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).361C2^3320,837
(C22×C10).362C23 = C24.63D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).362C2^3320,838
(C22×C10).363C23 = C24.64D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).363C2^3320,839
(C22×C10).364C23 = C24.65D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).364C2^3320,840
(C22×C10).365C23 = C24.18D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).365C2^3320,847
(C22×C10).366C23 = C24.19D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).366C2^3320,848
(C22×C10).367C23 = C24.20D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).367C2^3320,849
(C22×C10).368C23 = C24.21D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).368C2^3320,850
(C22×C10).369C23 = C10.C22≀C2φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).369C2^3320,856
(C22×C10).370C23 = (Q8×C10)⋊17C4φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).370C2^3320,857
(C22×C10).371C23 = (C22×D5)⋊Q8φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).371C2^3320,858
(C22×C10).372C23 = C25.2D5φ: C23/C22C2 ⊆ Aut C22×C1080(C2^2xC10).372C2^3320,874
(C22×C10).373C23 = C2×C4×Dic10φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).373C2^3320,1139
(C22×C10).374C23 = C2×C202Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).374C2^3320,1140
(C22×C10).375C23 = C2×C20.6Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).375C2^3320,1141
(C22×C10).376C23 = C42.274D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).376C2^3320,1142
(C22×C10).377C23 = D5×C2×C42φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).377C2^3320,1143
(C22×C10).378C23 = C2×C42⋊D5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).378C2^3320,1144
(C22×C10).379C23 = C2×C4×D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).379C2^3320,1145
(C22×C10).380C23 = C4×C4○D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).380C2^3320,1146
(C22×C10).381C23 = C2×C204D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).381C2^3320,1147
(C22×C10).382C23 = C2×C4.D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).382C2^3320,1148
(C22×C10).383C23 = C42.276D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).383C2^3320,1149
(C22×C10).384C23 = C2×C422D5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).384C2^3320,1150
(C22×C10).385C23 = C42.277D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).385C2^3320,1151
(C22×C10).386C23 = C2×C23.11D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).386C2^3320,1152
(C22×C10).387C23 = C24.27D10φ: C23/C22C2 ⊆ Aut C22×C1080(C2^2xC10).387C2^3320,1162
(C22×C10).388C23 = C2×Dic5.5D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).388C2^3320,1163
(C22×C10).389C23 = C2×Dic53Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).389C2^3320,1168
(C22×C10).390C23 = C2×C20⋊Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).390C2^3320,1169
(C22×C10).391C23 = C2×Dic5.Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).391C2^3320,1170
(C22×C10).392C23 = C2×C4.Dic10φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).392C2^3320,1171
(C22×C10).393C23 = C10.12- 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).393C2^3320,1172
(C22×C10).394C23 = C2×D5×C4⋊C4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).394C2^3320,1173
(C22×C10).395C23 = C2×C4⋊C47D5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).395C2^3320,1174
(C22×C10).396C23 = C2×D208C4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).396C2^3320,1175
(C22×C10).397C23 = C10.82+ 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).397C2^3320,1176
(C22×C10).398C23 = C2×D10.13D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).398C2^3320,1177
(C22×C10).399C23 = C2×C4⋊D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).399C2^3320,1178
(C22×C10).400C23 = C10.2- 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).400C2^3320,1179
(C22×C10).401C23 = C2×D10⋊Q8φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).401C2^3320,1180
(C22×C10).402C23 = C2×D102Q8φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).402C2^3320,1181
(C22×C10).403C23 = C10.2+ 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).403C2^3320,1182
(C22×C10).404C23 = C10.102+ 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).404C2^3320,1183
(C22×C10).405C23 = C2×C4⋊C4⋊D5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).405C2^3320,1184
(C22×C10).406C23 = C10.52- 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).406C2^3320,1185
(C22×C10).407C23 = C10.112+ 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).407C2^3320,1186
(C22×C10).408C23 = C10.62- 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).408C2^3320,1187
(C22×C10).409C23 = C22×C4×Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).409C2^3320,1454
(C22×C10).410C23 = C22×C10.D4φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).410C2^3320,1455
(C22×C10).411C23 = C2×C20.48D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).411C2^3320,1456
(C22×C10).412C23 = C22×C4⋊Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).412C2^3320,1457
(C22×C10).413C23 = C2×C23.21D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).413C2^3320,1458
(C22×C10).414C23 = C22×D10⋊C4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).414C2^3320,1459
(C22×C10).415C23 = C2×C4×C5⋊D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).415C2^3320,1460
(C22×C10).416C23 = C2×C23.23D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).416C2^3320,1461
(C22×C10).417C23 = C2×C207D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).417C2^3320,1462
(C22×C10).418C23 = C24.72D10φ: C23/C22C2 ⊆ Aut C22×C1080(C2^2xC10).418C2^3320,1463
(C22×C10).419C23 = C2×C202D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).419C2^3320,1472
(C22×C10).420C23 = C2×Dic5⋊Q8φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).420C2^3320,1482
(C22×C10).421C23 = C2×Q8×Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).421C2^3320,1483
(C22×C10).422C23 = C10.422- 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).422C2^3320,1484
(C22×C10).423C23 = C2×D103Q8φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).423C2^3320,1485
(C22×C10).424C23 = C2×C20.23D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).424C2^3320,1486
(C22×C10).425C23 = Q8×C5⋊D4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).425C2^3320,1487
(C22×C10).426C23 = C10.442- 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).426C2^3320,1488
(C22×C10).427C23 = C10.452- 1+4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).427C2^3320,1489
(C22×C10).428C23 = C22×C23.D5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).428C2^3320,1511
(C22×C10).429C23 = C2×C242D5φ: C23/C22C2 ⊆ Aut C22×C1080(C2^2xC10).429C2^3320,1512
(C22×C10).430C23 = C23×Dic10φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).430C2^3320,1608
(C22×C10).431C23 = D5×C23×C4φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).431C2^3320,1609
(C22×C10).432C23 = C23×D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).432C2^3320,1610
(C22×C10).433C23 = C22×C4○D20φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).433C2^3320,1611
(C22×C10).434C23 = C22×D42D5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).434C2^3320,1613
(C22×C10).435C23 = C22×Q8×D5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).435C2^3320,1615
(C22×C10).436C23 = C22×Q82D5φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).436C2^3320,1616
(C22×C10).437C23 = C2×Q8.10D10φ: C23/C22C2 ⊆ Aut C22×C10160(C2^2xC10).437C2^3320,1617
(C22×C10).438C23 = C24×Dic5φ: C23/C22C2 ⊆ Aut C22×C10320(C2^2xC10).438C2^3320,1626
(C22×C10).439C23 = C10×C2.C42central extension (φ=1)320(C2^2xC10).439C2^3320,876
(C22×C10).440C23 = C5×C424C4central extension (φ=1)320(C2^2xC10).440C2^3320,877
(C22×C10).441C23 = C22⋊C4×C20central extension (φ=1)160(C2^2xC10).441C2^3320,878
(C22×C10).442C23 = C4⋊C4×C20central extension (φ=1)320(C2^2xC10).442C2^3320,879
(C22×C10).443C23 = C5×C243C4central extension (φ=1)80(C2^2xC10).443C2^3320,880
(C22×C10).444C23 = C5×C23.7Q8central extension (φ=1)160(C2^2xC10).444C2^3320,881
(C22×C10).445C23 = C5×C23.34D4central extension (φ=1)160(C2^2xC10).445C2^3320,882
(C22×C10).446C23 = C5×C428C4central extension (φ=1)320(C2^2xC10).446C2^3320,883
(C22×C10).447C23 = C5×C425C4central extension (φ=1)320(C2^2xC10).447C2^3320,884
(C22×C10).448C23 = C5×C429C4central extension (φ=1)320(C2^2xC10).448C2^3320,885
(C22×C10).449C23 = C5×C23.8Q8central extension (φ=1)160(C2^2xC10).449C2^3320,886
(C22×C10).450C23 = C5×C23.23D4central extension (φ=1)160(C2^2xC10).450C2^3320,887
(C22×C10).451C23 = C5×C23.63C23central extension (φ=1)320(C2^2xC10).451C2^3320,888
(C22×C10).452C23 = C5×C24.C22central extension (φ=1)160(C2^2xC10).452C2^3320,889
(C22×C10).453C23 = C5×C23.65C23central extension (φ=1)320(C2^2xC10).453C2^3320,890
(C22×C10).454C23 = C5×C24.3C22central extension (φ=1)160(C2^2xC10).454C2^3320,891
(C22×C10).455C23 = C5×C23.67C23central extension (φ=1)320(C2^2xC10).455C2^3320,892
(C22×C10).456C23 = C5×C232D4central extension (φ=1)160(C2^2xC10).456C2^3320,893
(C22×C10).457C23 = C5×C23⋊Q8central extension (φ=1)160(C2^2xC10).457C2^3320,894
(C22×C10).458C23 = C5×C23.10D4central extension (φ=1)160(C2^2xC10).458C2^3320,895
(C22×C10).459C23 = C5×C23.78C23central extension (φ=1)320(C2^2xC10).459C2^3320,896
(C22×C10).460C23 = C5×C23.Q8central extension (φ=1)160(C2^2xC10).460C2^3320,897
(C22×C10).461C23 = C5×C23.11D4central extension (φ=1)160(C2^2xC10).461C2^3320,898
(C22×C10).462C23 = C5×C23.81C23central extension (φ=1)320(C2^2xC10).462C2^3320,899
(C22×C10).463C23 = C5×C23.4Q8central extension (φ=1)160(C2^2xC10).463C2^3320,900
(C22×C10).464C23 = C5×C23.83C23central extension (φ=1)320(C2^2xC10).464C2^3320,901
(C22×C10).465C23 = C5×C23.84C23central extension (φ=1)320(C2^2xC10).465C2^3320,902
(C22×C10).466C23 = C4⋊C4×C2×C10central extension (φ=1)320(C2^2xC10).466C2^3320,1515
(C22×C10).467C23 = C10×C42⋊C2central extension (φ=1)160(C2^2xC10).467C2^3320,1516
(C22×C10).468C23 = Q8×C2×C20central extension (φ=1)320(C2^2xC10).468C2^3320,1518
(C22×C10).469C23 = C10×C42.C2central extension (φ=1)320(C2^2xC10).469C2^3320,1529
(C22×C10).470C23 = C10×C4⋊Q8central extension (φ=1)320(C2^2xC10).470C2^3320,1533
(C22×C10).471C23 = Q8×C22×C10central extension (φ=1)320(C2^2xC10).471C2^3320,1630

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