Extensions 1→N→G→Q→1 with N=C22×C6 and Q=C23

Direct product G=N×Q with N=C22×C6 and Q=C23
dρLabelID
C25×C6192C2^5xC6192,1543

Semidirect products G=N:Q with N=C22×C6 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C22×C6)⋊1C23 = S3×C22≀C2φ: C23/C1C23 ⊆ Aut C22×C624(C2^2xC6):1C2^3192,1147
(C22×C6)⋊2C23 = S3×2+ 1+4φ: C23/C1C23 ⊆ Aut C22×C6248+(C2^2xC6):2C2^3192,1524
(C22×C6)⋊3C23 = C6×C22≀C2φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6):3C2^3192,1410
(C22×C6)⋊4C23 = C6×2+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6):4C2^3192,1534
(C22×C6)⋊5C23 = C2×C232D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6):5C2^3192,1358
(C22×C6)⋊6C23 = C22×S3×D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6):6C2^3192,1514
(C22×C6)⋊7C23 = C2×D46D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6):7C2^3192,1516
(C22×C6)⋊8C23 = D4×C22×C6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6):8C2^3192,1531
(C22×C6)⋊9C23 = C23×C3⋊D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6):9C2^3192,1529
(C22×C6)⋊10C23 = S3×C25φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6):10C2^3192,1542

Non-split extensions G=N.Q with N=C22×C6 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C22×C6).1C23 = C23⋊C45S3φ: C23/C1C23 ⊆ Aut C22×C6488-(C2^2xC6).1C2^3192,299
(C22×C6).2C23 = C23⋊D12φ: C23/C1C23 ⊆ Aut C22×C6248+(C2^2xC6).2C2^3192,300
(C22×C6).3C23 = C23.5D12φ: C23/C1C23 ⊆ Aut C22×C6488-(C2^2xC6).3C2^3192,301
(C22×C6).4C23 = S3×C23⋊C4φ: C23/C1C23 ⊆ Aut C22×C6248+(C2^2xC6).4C2^3192,302
(C22×C6).5C23 = 2+ 1+4.5S3φ: C23/C1C23 ⊆ Aut C22×C6488-(C2^2xC6).5C2^3192,802
(C22×C6).6C23 = 2+ 1+47S3φ: C23/C1C23 ⊆ Aut C22×C6248+(C2^2xC6).6C2^3192,803
(C22×C6).7C23 = C24.67D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).7C2^3192,1145
(C22×C6).8C23 = C247D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).8C2^3192,1148
(C22×C6).9C23 = C24.44D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).9C2^3192,1150
(C22×C6).10C23 = C24.45D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).10C2^3192,1151
(C22×C6).11C23 = C12⋊(C4○D4)φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).11C2^3192,1155
(C22×C6).12C23 = C6.322+ 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).12C2^3192,1156
(C22×C6).13C23 = Dic619D4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).13C2^3192,1157
(C22×C6).14C23 = Dic620D4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).14C2^3192,1158
(C22×C6).15C23 = C4⋊C4.178D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).15C2^3192,1159
(C22×C6).16C23 = C6.342+ 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).16C2^3192,1160
(C22×C6).17C23 = C6.702- 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).17C2^3192,1161
(C22×C6).18C23 = C6.372+ 1+4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).18C2^3192,1164
(C22×C6).19C23 = C4⋊C421D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).19C2^3192,1165
(C22×C6).20C23 = C6.382+ 1+4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).20C2^3192,1166
(C22×C6).21C23 = C6.402+ 1+4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).21C2^3192,1169
(C22×C6).22C23 = C6.732- 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).22C2^3192,1170
(C22×C6).23C23 = D1220D4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).23C2^3192,1171
(C22×C6).24C23 = C6.422+ 1+4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).24C2^3192,1172
(C22×C6).25C23 = C6.432+ 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).25C2^3192,1173
(C22×C6).26C23 = C6.442+ 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).26C2^3192,1174
(C22×C6).27C23 = C6.462+ 1+4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).27C2^3192,1176
(C22×C6).28C23 = C6.792- 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).28C2^3192,1207
(C22×C6).29C23 = C4⋊C4.197D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).29C2^3192,1208
(C22×C6).30C23 = C6.802- 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).30C2^3192,1209
(C22×C6).31C23 = S3×C22.D4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).31C2^3192,1211
(C22×C6).32C23 = C6.1202+ 1+4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).32C2^3192,1212
(C22×C6).33C23 = C6.1212+ 1+4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).33C2^3192,1213
(C22×C6).34C23 = C6.822- 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).34C2^3192,1214
(C22×C6).35C23 = C4⋊C428D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).35C2^3192,1215
(C22×C6).36C23 = C6.632+ 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).36C2^3192,1219
(C22×C6).37C23 = C6.642+ 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).37C2^3192,1220
(C22×C6).38C23 = C6.652+ 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).38C2^3192,1221
(C22×C6).39C23 = C6.662+ 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).39C2^3192,1222
(C22×C6).40C23 = C6.672+ 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).40C2^3192,1223
(C22×C6).41C23 = C6.852- 1+4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).41C2^3192,1224
(C22×C6).42C23 = C42.233D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).42C2^3192,1227
(C22×C6).43C23 = C42.137D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).43C2^3192,1228
(C22×C6).44C23 = C42.138D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).44C2^3192,1229
(C22×C6).45C23 = C42.139D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).45C2^3192,1230
(C22×C6).46C23 = C42.140D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).46C2^3192,1231
(C22×C6).47C23 = S3×C4.4D4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).47C2^3192,1232
(C22×C6).48C23 = C4220D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).48C2^3192,1233
(C22×C6).49C23 = C42.141D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).49C2^3192,1234
(C22×C6).50C23 = D1210D4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).50C2^3192,1235
(C22×C6).51C23 = Dic610D4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).51C2^3192,1236
(C22×C6).52C23 = C4222D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).52C2^3192,1237
(C22×C6).53C23 = C4223D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).53C2^3192,1238
(C22×C6).54C23 = C42.234D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).54C2^3192,1239
(C22×C6).55C23 = C42.143D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).55C2^3192,1240
(C22×C6).56C23 = C42.144D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).56C2^3192,1241
(C22×C6).57C23 = C4224D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).57C2^3192,1242
(C22×C6).58C23 = C42.145D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).58C2^3192,1243
(C22×C6).59C23 = C42.159D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).59C2^3192,1260
(C22×C6).60C23 = C42.160D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).60C2^3192,1261
(C22×C6).61C23 = S3×C422C2φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).61C2^3192,1262
(C22×C6).62C23 = C4225D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).62C2^3192,1263
(C22×C6).63C23 = C4226D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).63C2^3192,1264
(C22×C6).64C23 = C42.189D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).64C2^3192,1265
(C22×C6).65C23 = C42.161D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).65C2^3192,1266
(C22×C6).66C23 = C42.162D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).66C2^3192,1267
(C22×C6).67C23 = C42.163D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).67C2^3192,1268
(C22×C6).68C23 = C42.164D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).68C2^3192,1269
(C22×C6).69C23 = C4227D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).69C2^3192,1270
(C22×C6).70C23 = C42.165D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).70C2^3192,1271
(C22×C6).71C23 = C42.166D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).71C2^3192,1272
(C22×C6).72C23 = S3×C41D4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).72C2^3192,1273
(C22×C6).73C23 = C4228D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).73C2^3192,1274
(C22×C6).74C23 = C42.238D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).74C2^3192,1275
(C22×C6).75C23 = D1211D4φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).75C2^3192,1276
(C22×C6).76C23 = Dic611D4φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).76C2^3192,1277
(C22×C6).77C23 = C42.168D6φ: C23/C1C23 ⊆ Aut C22×C696(C2^2xC6).77C2^3192,1278
(C22×C6).78C23 = C4230D6φ: C23/C1C23 ⊆ Aut C22×C648(C2^2xC6).78C2^3192,1279
(C22×C6).79C23 = D6.C24φ: C23/C1C23 ⊆ Aut C22×C6488-(C2^2xC6).79C2^3192,1525
(C22×C6).80C23 = C6×C23⋊C4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).80C2^3192,842
(C22×C6).81C23 = C3×C23.C23φ: C23/C2C22 ⊆ Aut C22×C6484(C2^2xC6).81C2^3192,843
(C22×C6).82C23 = C3×C2≀C22φ: C23/C2C22 ⊆ Aut C22×C6244(C2^2xC6).82C2^3192,890
(C22×C6).83C23 = C3×C23.7D4φ: C23/C2C22 ⊆ Aut C22×C6484(C2^2xC6).83C2^3192,891
(C22×C6).84C23 = C3×C22.19C24φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).84C2^3192,1414
(C22×C6).85C23 = C6×C4.4D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).85C2^3192,1415
(C22×C6).86C23 = C6×C422C2φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).86C2^3192,1417
(C22×C6).87C23 = C3×C23.36C23φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).87C2^3192,1418
(C22×C6).88C23 = C6×C41D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).88C2^3192,1419
(C22×C6).89C23 = C3×C22.26C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).89C2^3192,1421
(C22×C6).90C23 = C3×C233D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).90C2^3192,1423
(C22×C6).91C23 = C3×C22.29C24φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).91C2^3192,1424
(C22×C6).92C23 = C3×C22.31C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).92C2^3192,1426
(C22×C6).93C23 = C3×C22.32C24φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).93C2^3192,1427
(C22×C6).94C23 = C3×C22.33C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).94C2^3192,1428
(C22×C6).95C23 = C3×C22.34C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).95C2^3192,1429
(C22×C6).96C23 = C3×C22.35C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).96C2^3192,1430
(C22×C6).97C23 = C3×C22.36C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).97C2^3192,1431
(C22×C6).98C23 = C3×D45D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).98C2^3192,1435
(C22×C6).99C23 = C3×D46D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).99C2^3192,1436
(C22×C6).100C23 = C3×Q85D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).100C2^3192,1437
(C22×C6).101C23 = C3×Q86D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).101C2^3192,1439
(C22×C6).102C23 = C3×C22.47C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).102C2^3192,1442
(C22×C6).103C23 = C3×C22.49C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).103C2^3192,1444
(C22×C6).104C23 = C3×C22.50C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).104C2^3192,1445
(C22×C6).105C23 = C3×C22.53C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).105C2^3192,1448
(C22×C6).106C23 = C3×C22.54C24φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).106C2^3192,1449
(C22×C6).107C23 = C3×C24⋊C22φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).107C2^3192,1450
(C22×C6).108C23 = C3×C22.56C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).108C2^3192,1451
(C22×C6).109C23 = C3×C22.57C24φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).109C2^3192,1452
(C22×C6).110C23 = C3×C2.C25φ: C23/C2C22 ⊆ Aut C22×C6484(C2^2xC6).110C2^3192,1536
(C22×C6).111C23 = C2×C23.6D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).111C2^3192,513
(C22×C6).112C23 = (C2×D12)⋊13C4φ: C23/C2C22 ⊆ Aut C22×C6484(C2^2xC6).112C2^3192,565
(C22×C6).113C23 = C246D6φ: C23/C2C22 ⊆ Aut C22×C6244(C2^2xC6).113C2^3192,591
(C22×C6).114C23 = C22⋊C4⋊D6φ: C23/C2C22 ⊆ Aut C22×C6484(C2^2xC6).114C2^3192,612
(C22×C6).115C23 = C2×C23.7D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).115C2^3192,778
(C22×C6).116C23 = (C6×D4)⋊10C4φ: C23/C2C22 ⊆ Aut C22×C6484(C2^2xC6).116C2^3192,799
(C22×C6).117C23 = C2×Dic3.D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).117C2^3192,1040
(C22×C6).118C23 = C2×C23.8D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).118C2^3192,1041
(C22×C6).119C23 = C233Dic6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).119C2^3192,1042
(C22×C6).120C23 = C2×S3×C22⋊C4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).120C2^3192,1043
(C22×C6).121C23 = C2×Dic34D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).121C2^3192,1044
(C22×C6).122C23 = C24.35D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).122C2^3192,1045
(C22×C6).123C23 = C2×D6⋊D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).123C2^3192,1046
(C22×C6).124C23 = C2×C23.9D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).124C2^3192,1047
(C22×C6).125C23 = C2×Dic3⋊D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).125C2^3192,1048
(C22×C6).126C23 = C2×C23.21D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).126C2^3192,1051
(C22×C6).127C23 = C234D12φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).127C2^3192,1052
(C22×C6).128C23 = C24.41D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).128C2^3192,1053
(C22×C6).129C23 = C24.42D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).129C2^3192,1054
(C22×C6).130C23 = C42.87D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).130C2^3192,1075
(C22×C6).131C23 = C42.88D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).131C2^3192,1076
(C22×C6).132C23 = C42.89D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).132C2^3192,1077
(C22×C6).133C23 = C42.90D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).133C2^3192,1078
(C22×C6).134C23 = S3×C42⋊C2φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).134C2^3192,1079
(C22×C6).135C23 = C429D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).135C2^3192,1080
(C22×C6).136C23 = C42.188D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).136C2^3192,1081
(C22×C6).137C23 = C42.91D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).137C2^3192,1082
(C22×C6).138C23 = C4210D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).138C2^3192,1083
(C22×C6).139C23 = C4211D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).139C2^3192,1084
(C22×C6).140C23 = C42.92D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).140C2^3192,1085
(C22×C6).141C23 = C4212D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).141C2^3192,1086
(C22×C6).142C23 = C42.93D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).142C2^3192,1087
(C22×C6).143C23 = C42.94D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).143C2^3192,1088
(C22×C6).144C23 = C42.95D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).144C2^3192,1089
(C22×C6).145C23 = C42.96D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).145C2^3192,1090
(C22×C6).146C23 = C42.97D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).146C2^3192,1091
(C22×C6).147C23 = C42.98D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).147C2^3192,1092
(C22×C6).148C23 = C42.99D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).148C2^3192,1093
(C22×C6).149C23 = C42.100D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).149C2^3192,1094
(C22×C6).150C23 = C4×D42S3φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).150C2^3192,1095
(C22×C6).151C23 = D4×Dic6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).151C2^3192,1096
(C22×C6).152C23 = C42.102D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).152C2^3192,1097
(C22×C6).153C23 = D45Dic6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).153C2^3192,1098
(C22×C6).154C23 = C42.104D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).154C2^3192,1099
(C22×C6).155C23 = C42.105D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).155C2^3192,1100
(C22×C6).156C23 = C42.106D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).156C2^3192,1101
(C22×C6).157C23 = D46Dic6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).157C2^3192,1102
(C22×C6).158C23 = C4×S3×D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).158C2^3192,1103
(C22×C6).159C23 = C4213D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).159C2^3192,1104
(C22×C6).160C23 = C42.108D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).160C2^3192,1105
(C22×C6).161C23 = C4214D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).161C2^3192,1106
(C22×C6).162C23 = C42.228D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).162C2^3192,1107
(C22×C6).163C23 = D4×D12φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).163C2^3192,1108
(C22×C6).164C23 = D1223D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).164C2^3192,1109
(C22×C6).165C23 = D1224D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).165C2^3192,1110
(C22×C6).166C23 = Dic623D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).166C2^3192,1111
(C22×C6).167C23 = Dic624D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).167C2^3192,1112
(C22×C6).168C23 = D45D12φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).168C2^3192,1113
(C22×C6).169C23 = D46D12φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).169C2^3192,1114
(C22×C6).170C23 = C4218D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).170C2^3192,1115
(C22×C6).171C23 = C42.229D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).171C2^3192,1116
(C22×C6).172C23 = C42.113D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).172C2^3192,1117
(C22×C6).173C23 = C42.114D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).173C2^3192,1118
(C22×C6).174C23 = C4219D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).174C2^3192,1119
(C22×C6).175C23 = C42.115D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).175C2^3192,1120
(C22×C6).176C23 = C42.116D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).176C2^3192,1121
(C22×C6).177C23 = C42.117D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).177C2^3192,1122
(C22×C6).178C23 = C42.118D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).178C2^3192,1123
(C22×C6).179C23 = C42.119D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).179C2^3192,1124
(C22×C6).180C23 = C24.43D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).180C2^3192,1146
(C22×C6).181C23 = C248D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).181C2^3192,1149
(C22×C6).182C23 = C24.46D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).182C2^3192,1152
(C22×C6).183C23 = C249D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).183C2^3192,1153
(C22×C6).184C23 = C24.47D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).184C2^3192,1154
(C22×C6).185C23 = C6.712- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).185C2^3192,1162
(C22×C6).186C23 = S3×C4⋊D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).186C2^3192,1163
(C22×C6).187C23 = C6.722- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).187C2^3192,1167
(C22×C6).188C23 = D1219D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).188C2^3192,1168
(C22×C6).189C23 = C6.452+ 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).189C2^3192,1175
(C22×C6).190C23 = C6.1152+ 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).190C2^3192,1177
(C22×C6).191C23 = C6.472+ 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).191C2^3192,1178
(C22×C6).192C23 = C6.482+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).192C2^3192,1179
(C22×C6).193C23 = C6.492+ 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).193C2^3192,1180
(C22×C6).194C23 = (Q8×Dic3)⋊C2φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).194C2^3192,1181
(C22×C6).195C23 = C6.752- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).195C2^3192,1182
(C22×C6).196C23 = C4⋊C4.187D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).196C2^3192,1183
(C22×C6).197C23 = C6.152- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).197C2^3192,1184
(C22×C6).198C23 = S3×C22⋊Q8φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).198C2^3192,1185
(C22×C6).199C23 = C4⋊C426D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).199C2^3192,1186
(C22×C6).200C23 = C6.162- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).200C2^3192,1187
(C22×C6).201C23 = C6.172- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).201C2^3192,1188
(C22×C6).202C23 = D1221D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).202C2^3192,1189
(C22×C6).203C23 = D1222D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).203C2^3192,1190
(C22×C6).204C23 = Dic621D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).204C2^3192,1191
(C22×C6).205C23 = Dic622D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).205C2^3192,1192
(C22×C6).206C23 = C6.512+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).206C2^3192,1193
(C22×C6).207C23 = C6.1182+ 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).207C2^3192,1194
(C22×C6).208C23 = C6.522+ 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).208C2^3192,1195
(C22×C6).209C23 = C6.532+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).209C2^3192,1196
(C22×C6).210C23 = C6.202- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).210C2^3192,1197
(C22×C6).211C23 = C6.212- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).211C2^3192,1198
(C22×C6).212C23 = C6.222- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).212C2^3192,1199
(C22×C6).213C23 = C6.232- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).213C2^3192,1200
(C22×C6).214C23 = C6.772- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).214C2^3192,1201
(C22×C6).215C23 = C6.242- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).215C2^3192,1202
(C22×C6).216C23 = C6.562+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).216C2^3192,1203
(C22×C6).217C23 = C6.782- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).217C2^3192,1204
(C22×C6).218C23 = C6.252- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).218C2^3192,1205
(C22×C6).219C23 = C6.592+ 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).219C2^3192,1206
(C22×C6).220C23 = C6.812- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).220C2^3192,1210
(C22×C6).221C23 = C6.612+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).221C2^3192,1216
(C22×C6).222C23 = C6.1222+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).222C2^3192,1217
(C22×C6).223C23 = C6.622+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).223C2^3192,1218
(C22×C6).224C23 = C6.682+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).224C2^3192,1225
(C22×C6).225C23 = C6.692+ 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).225C2^3192,1226
(C22×C6).226C23 = C2×D4×Dic3φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).226C2^3192,1354
(C22×C6).227C23 = C2×C23.23D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).227C2^3192,1355
(C22×C6).228C23 = C2×C23.12D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).228C2^3192,1356
(C22×C6).229C23 = C24.49D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).229C2^3192,1357
(C22×C6).230C23 = D4×C3⋊D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).230C2^3192,1360
(C22×C6).231C23 = C2×C23.14D6φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).231C2^3192,1361
(C22×C6).232C23 = C2×C123D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).232C2^3192,1362
(C22×C6).233C23 = C2412D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).233C2^3192,1363
(C22×C6).234C23 = C24.52D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).234C2^3192,1364
(C22×C6).235C23 = C24.53D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).235C2^3192,1365
(C22×C6).236C23 = C6.1042- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).236C2^3192,1383
(C22×C6).237C23 = C6.1052- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).237C2^3192,1384
(C22×C6).238C23 = Dic3×C4○D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).238C2^3192,1385
(C22×C6).239C23 = C6.1442+ 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).239C2^3192,1386
(C22×C6).240C23 = (C2×D4)⋊43D6φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).240C2^3192,1387
(C22×C6).241C23 = C6.1452+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).241C2^3192,1388
(C22×C6).242C23 = C6.1462+ 1+4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).242C2^3192,1389
(C22×C6).243C23 = C6.1072- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).243C2^3192,1390
(C22×C6).244C23 = (C2×C12)⋊17D4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).244C2^3192,1391
(C22×C6).245C23 = C6.1082- 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).245C2^3192,1392
(C22×C6).246C23 = C6.1482+ 1+4φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).246C2^3192,1393
(C22×C6).247C23 = C2×S3×C4○D4φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).247C2^3192,1520
(C22×C6).248C23 = C2×D4○D12φ: C23/C2C22 ⊆ Aut C22×C648(C2^2xC6).248C2^3192,1521
(C22×C6).249C23 = C2×Q8○D12φ: C23/C2C22 ⊆ Aut C22×C696(C2^2xC6).249C2^3192,1522
(C22×C6).250C23 = C6.C25φ: C23/C2C22 ⊆ Aut C22×C6484(C2^2xC6).250C2^3192,1523
(C22×C6).251C23 = C2×C6×C22⋊C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).251C2^3192,1401
(C22×C6).252C23 = D4×C2×C12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).252C2^3192,1404
(C22×C6).253C23 = C12×C4○D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).253C2^3192,1406
(C22×C6).254C23 = C3×C22.11C24φ: C23/C22C2 ⊆ Aut C22×C648(C2^2xC6).254C2^3192,1407
(C22×C6).255C23 = C3×C23.32C23φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).255C2^3192,1408
(C22×C6).256C23 = C3×C23.33C23φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).256C2^3192,1409
(C22×C6).257C23 = C6×C4⋊D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).257C2^3192,1411
(C22×C6).258C23 = C6×C22⋊Q8φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).258C2^3192,1412
(C22×C6).259C23 = C6×C22.D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).259C2^3192,1413
(C22×C6).260C23 = C3×C23.37C23φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).260C2^3192,1422
(C22×C6).261C23 = C3×C23.38C23φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).261C2^3192,1425
(C22×C6).262C23 = C3×C232Q8φ: C23/C22C2 ⊆ Aut C22×C648(C2^2xC6).262C2^3192,1432
(C22×C6).263C23 = C3×C23.41C23φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).263C2^3192,1433
(C22×C6).264C23 = C3×D42φ: C23/C22C2 ⊆ Aut C22×C648(C2^2xC6).264C2^3192,1434
(C22×C6).265C23 = C3×D4×Q8φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).265C2^3192,1438
(C22×C6).266C23 = C3×C22.45C24φ: C23/C22C2 ⊆ Aut C22×C648(C2^2xC6).266C2^3192,1440
(C22×C6).267C23 = C3×C22.46C24φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).267C2^3192,1441
(C22×C6).268C23 = C3×D43Q8φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).268C2^3192,1443
(C22×C6).269C23 = C2×C6×C4○D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).269C2^3192,1533
(C22×C6).270C23 = C6×2- 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).270C2^3192,1535
(C22×C6).271C23 = (C2×C12)⋊Q8φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).271C2^3192,205
(C22×C6).272C23 = C6.(C4×Q8)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).272C2^3192,206
(C22×C6).273C23 = Dic3.5C42φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).273C2^3192,207
(C22×C6).274C23 = Dic3⋊C42φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).274C2^3192,208
(C22×C6).275C23 = C3⋊(C428C4)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).275C2^3192,209
(C22×C6).276C23 = C3⋊(C425C4)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).276C2^3192,210
(C22×C6).277C23 = C6.(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).277C2^3192,211
(C22×C6).278C23 = C2.(C4×D12)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).278C2^3192,212
(C22×C6).279C23 = C2.(C4×Dic6)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).279C2^3192,213
(C22×C6).280C23 = Dic3⋊C4⋊C4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).280C2^3192,214
(C22×C6).281C23 = (C2×C4)⋊Dic6φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).281C2^3192,215
(C22×C6).282C23 = C6.(C4⋊Q8)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).282C2^3192,216
(C22×C6).283C23 = (C2×Dic3).9D4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).283C2^3192,217
(C22×C6).284C23 = (C2×C4).17D12φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).284C2^3192,218
(C22×C6).285C23 = (C2×C4).Dic6φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).285C2^3192,219
(C22×C6).286C23 = (C22×C4).85D6φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).286C2^3192,220
(C22×C6).287C23 = (C22×C4).30D6φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).287C2^3192,221
(C22×C6).288C23 = S3×C2.C42φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).288C2^3192,222
(C22×C6).289C23 = C22.58(S3×D4)φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).289C2^3192,223
(C22×C6).290C23 = (C2×C4)⋊9D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).290C2^3192,224
(C22×C6).291C23 = D6⋊C42φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).291C2^3192,225
(C22×C6).292C23 = D6⋊(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).292C2^3192,226
(C22×C6).293C23 = D6⋊C4⋊C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).293C2^3192,227
(C22×C6).294C23 = D6⋊C45C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).294C2^3192,228
(C22×C6).295C23 = D6⋊C43C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).295C2^3192,229
(C22×C6).296C23 = (C2×C12)⋊5D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).296C2^3192,230
(C22×C6).297C23 = C6.C22≀C2φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).297C2^3192,231
(C22×C6).298C23 = (C22×S3)⋊Q8φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).298C2^3192,232
(C22×C6).299C23 = (C2×C4).21D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).299C2^3192,233
(C22×C6).300C23 = C6.(C4⋊D4)φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).300C2^3192,234
(C22×C6).301C23 = (C22×C4).37D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).301C2^3192,235
(C22×C6).302C23 = (C2×C12).33D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).302C2^3192,236
(C22×C6).303C23 = C124(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).303C2^3192,487
(C22×C6).304C23 = (C2×Dic6)⋊7C4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).304C2^3192,488
(C22×C6).305C23 = Dic3×C42φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).305C2^3192,489
(C22×C6).306C23 = C4×Dic3⋊C4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).306C2^3192,490
(C22×C6).307C23 = C426Dic3φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).307C2^3192,491
(C22×C6).308C23 = (C2×C42).6S3φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).308C2^3192,492
(C22×C6).309C23 = C4×C4⋊Dic3φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).309C2^3192,493
(C22×C6).310C23 = C4210Dic3φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).310C2^3192,494
(C22×C6).311C23 = C4211Dic3φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).311C2^3192,495
(C22×C6).312C23 = C427Dic3φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).312C2^3192,496
(C22×C6).313C23 = C4×D6⋊C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).313C2^3192,497
(C22×C6).314C23 = (C2×C4)⋊6D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).314C2^3192,498
(C22×C6).315C23 = (C2×C42)⋊3S3φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).315C2^3192,499
(C22×C6).316C23 = Dic3×C22⋊C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).316C2^3192,500
(C22×C6).317C23 = C24.55D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).317C2^3192,501
(C22×C6).318C23 = C24.56D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).318C2^3192,502
(C22×C6).319C23 = C24.14D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).319C2^3192,503
(C22×C6).320C23 = C24.15D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).320C2^3192,504
(C22×C6).321C23 = C24.57D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).321C2^3192,505
(C22×C6).322C23 = C232Dic6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).322C2^3192,506
(C22×C6).323C23 = C24.17D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).323C2^3192,507
(C22×C6).324C23 = C24.18D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).324C2^3192,508
(C22×C6).325C23 = C24.58D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).325C2^3192,509
(C22×C6).326C23 = C24.19D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).326C2^3192,510
(C22×C6).327C23 = C24.20D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).327C2^3192,511
(C22×C6).328C23 = C24.21D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).328C2^3192,512
(C22×C6).329C23 = C24.59D6φ: C23/C22C2 ⊆ Aut C22×C648(C2^2xC6).329C2^3192,514
(C22×C6).330C23 = C24.23D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).330C2^3192,515
(C22×C6).331C23 = C24.24D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).331C2^3192,516
(C22×C6).332C23 = C24.60D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).332C2^3192,517
(C22×C6).333C23 = C24.25D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).333C2^3192,518
(C22×C6).334C23 = C233D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).334C2^3192,519
(C22×C6).335C23 = C24.27D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).335C2^3192,520
(C22×C6).336C23 = C12⋊(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).336C2^3192,531
(C22×C6).337C23 = C4.(D6⋊C4)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).337C2^3192,532
(C22×C6).338C23 = Dic3×C4⋊C4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).338C2^3192,533
(C22×C6).339C23 = (C4×Dic3)⋊8C4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).339C2^3192,534
(C22×C6).340C23 = Dic3⋊(C4⋊C4)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).340C2^3192,535
(C22×C6).341C23 = (C4×Dic3)⋊9C4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).341C2^3192,536
(C22×C6).342C23 = C6.67(C4×D4)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).342C2^3192,537
(C22×C6).343C23 = (C2×Dic3)⋊Q8φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).343C2^3192,538
(C22×C6).344C23 = C4⋊C45Dic3φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).344C2^3192,539
(C22×C6).345C23 = (C2×C4).44D12φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).345C2^3192,540
(C22×C6).346C23 = (C2×C12).54D4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).346C2^3192,541
(C22×C6).347C23 = (C2×Dic3).Q8φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).347C2^3192,542
(C22×C6).348C23 = C4⋊C46Dic3φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).348C2^3192,543
(C22×C6).349C23 = (C2×C12).288D4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).349C2^3192,544
(C22×C6).350C23 = (C2×C12).55D4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).350C2^3192,545
(C22×C6).351C23 = C4⋊(D6⋊C4)φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).351C2^3192,546
(C22×C6).352C23 = (C2×D12)⋊10C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).352C2^3192,547
(C22×C6).353C23 = D6⋊C46C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).353C2^3192,548
(C22×C6).354C23 = D6⋊C47C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).354C2^3192,549
(C22×C6).355C23 = (C2×C4)⋊3D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).355C2^3192,550
(C22×C6).356C23 = (C2×C12).289D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).356C2^3192,551
(C22×C6).357C23 = (C2×C12).290D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).357C2^3192,552
(C22×C6).358C23 = (C2×C12).56D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).358C2^3192,553
(C22×C6).359C23 = C2×C6.C42φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).359C2^3192,767
(C22×C6).360C23 = C4×C6.D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).360C2^3192,768
(C22×C6).361C23 = C24.73D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).361C2^3192,769
(C22×C6).362C23 = C24.74D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).362C2^3192,770
(C22×C6).363C23 = C24.75D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).363C2^3192,771
(C22×C6).364C23 = C24.76D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).364C2^3192,772
(C22×C6).365C23 = C24.29D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).365C2^3192,779
(C22×C6).366C23 = C24.30D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).366C2^3192,780
(C22×C6).367C23 = C24.31D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).367C2^3192,781
(C22×C6).368C23 = C24.32D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).368C2^3192,782
(C22×C6).369C23 = (C6×Q8)⋊7C4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).369C2^3192,788
(C22×C6).370C23 = C22.52(S3×Q8)φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).370C2^3192,789
(C22×C6).371C23 = (C22×Q8)⋊9S3φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).371C2^3192,790
(C22×C6).372C23 = C25.4S3φ: C23/C22C2 ⊆ Aut C22×C648(C2^2xC6).372C2^3192,806
(C22×C6).373C23 = C2×C4×Dic6φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).373C2^3192,1026
(C22×C6).374C23 = C2×C122Q8φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).374C2^3192,1027
(C22×C6).375C23 = C2×C12.6Q8φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).375C2^3192,1028
(C22×C6).376C23 = C42.274D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).376C2^3192,1029
(C22×C6).377C23 = S3×C2×C42φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).377C2^3192,1030
(C22×C6).378C23 = C2×C422S3φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).378C2^3192,1031
(C22×C6).379C23 = C2×C4×D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).379C2^3192,1032
(C22×C6).380C23 = C4×C4○D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).380C2^3192,1033
(C22×C6).381C23 = C2×C4⋊D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).381C2^3192,1034
(C22×C6).382C23 = C2×C427S3φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).382C2^3192,1035
(C22×C6).383C23 = C42.276D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).383C2^3192,1036
(C22×C6).384C23 = C2×C423S3φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).384C2^3192,1037
(C22×C6).385C23 = C42.277D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).385C2^3192,1038
(C22×C6).386C23 = C2×C23.16D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).386C2^3192,1039
(C22×C6).387C23 = C24.38D6φ: C23/C22C2 ⊆ Aut C22×C648(C2^2xC6).387C2^3192,1049
(C22×C6).388C23 = C2×C23.11D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).388C2^3192,1050
(C22×C6).389C23 = C2×Dic6⋊C4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).389C2^3192,1055
(C22×C6).390C23 = C2×C12⋊Q8φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).390C2^3192,1056
(C22×C6).391C23 = C2×Dic3.Q8φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).391C2^3192,1057
(C22×C6).392C23 = C2×C4.Dic6φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).392C2^3192,1058
(C22×C6).393C23 = C6.72+ 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).393C2^3192,1059
(C22×C6).394C23 = C2×S3×C4⋊C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).394C2^3192,1060
(C22×C6).395C23 = C2×C4⋊C47S3φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).395C2^3192,1061
(C22×C6).396C23 = C2×Dic35D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).396C2^3192,1062
(C22×C6).397C23 = C6.82+ 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).397C2^3192,1063
(C22×C6).398C23 = C2×D6.D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).398C2^3192,1064
(C22×C6).399C23 = C2×C12⋊D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).399C2^3192,1065
(C22×C6).400C23 = C6.2- 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).400C2^3192,1066
(C22×C6).401C23 = C2×D6⋊Q8φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).401C2^3192,1067
(C22×C6).402C23 = C2×C4.D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).402C2^3192,1068
(C22×C6).403C23 = C6.2+ 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).403C2^3192,1069
(C22×C6).404C23 = C6.102+ 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).404C2^3192,1070
(C22×C6).405C23 = C2×C4⋊C4⋊S3φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).405C2^3192,1071
(C22×C6).406C23 = C6.52- 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).406C2^3192,1072
(C22×C6).407C23 = C6.112+ 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).407C2^3192,1073
(C22×C6).408C23 = C6.62- 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).408C2^3192,1074
(C22×C6).409C23 = Dic3×C22×C4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).409C2^3192,1341
(C22×C6).410C23 = C22×Dic3⋊C4φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).410C2^3192,1342
(C22×C6).411C23 = C2×C12.48D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).411C2^3192,1343
(C22×C6).412C23 = C22×C4⋊Dic3φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).412C2^3192,1344
(C22×C6).413C23 = C2×C23.26D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).413C2^3192,1345
(C22×C6).414C23 = C22×D6⋊C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).414C2^3192,1346
(C22×C6).415C23 = C2×C4×C3⋊D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).415C2^3192,1347
(C22×C6).416C23 = C2×C23.28D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).416C2^3192,1348
(C22×C6).417C23 = C2×C127D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).417C2^3192,1349
(C22×C6).418C23 = C24.83D6φ: C23/C22C2 ⊆ Aut C22×C648(C2^2xC6).418C2^3192,1350
(C22×C6).419C23 = C2×D63D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).419C2^3192,1359
(C22×C6).420C23 = C2×Dic3⋊Q8φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).420C2^3192,1369
(C22×C6).421C23 = C2×Q8×Dic3φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).421C2^3192,1370
(C22×C6).422C23 = C6.422- 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).422C2^3192,1371
(C22×C6).423C23 = C2×D63Q8φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).423C2^3192,1372
(C22×C6).424C23 = C2×C12.23D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).424C2^3192,1373
(C22×C6).425C23 = Q8×C3⋊D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).425C2^3192,1374
(C22×C6).426C23 = C6.442- 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).426C2^3192,1375
(C22×C6).427C23 = C6.452- 1+4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).427C2^3192,1376
(C22×C6).428C23 = C22×C6.D4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).428C2^3192,1398
(C22×C6).429C23 = C2×C244S3φ: C23/C22C2 ⊆ Aut C22×C648(C2^2xC6).429C2^3192,1399
(C22×C6).430C23 = C23×Dic6φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).430C2^3192,1510
(C22×C6).431C23 = S3×C23×C4φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).431C2^3192,1511
(C22×C6).432C23 = C23×D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).432C2^3192,1512
(C22×C6).433C23 = C22×C4○D12φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).433C2^3192,1513
(C22×C6).434C23 = C22×D42S3φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).434C2^3192,1515
(C22×C6).435C23 = C22×S3×Q8φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).435C2^3192,1517
(C22×C6).436C23 = C22×Q83S3φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).436C2^3192,1518
(C22×C6).437C23 = C2×Q8.15D6φ: C23/C22C2 ⊆ Aut C22×C696(C2^2xC6).437C2^3192,1519
(C22×C6).438C23 = Dic3×C24φ: C23/C22C2 ⊆ Aut C22×C6192(C2^2xC6).438C2^3192,1528
(C22×C6).439C23 = C6×C2.C42central extension (φ=1)192(C2^2xC6).439C2^3192,808
(C22×C6).440C23 = C3×C424C4central extension (φ=1)192(C2^2xC6).440C2^3192,809
(C22×C6).441C23 = C12×C22⋊C4central extension (φ=1)96(C2^2xC6).441C2^3192,810
(C22×C6).442C23 = C12×C4⋊C4central extension (φ=1)192(C2^2xC6).442C2^3192,811
(C22×C6).443C23 = C3×C243C4central extension (φ=1)48(C2^2xC6).443C2^3192,812
(C22×C6).444C23 = C3×C23.7Q8central extension (φ=1)96(C2^2xC6).444C2^3192,813
(C22×C6).445C23 = C3×C23.34D4central extension (φ=1)96(C2^2xC6).445C2^3192,814
(C22×C6).446C23 = C3×C428C4central extension (φ=1)192(C2^2xC6).446C2^3192,815
(C22×C6).447C23 = C3×C425C4central extension (φ=1)192(C2^2xC6).447C2^3192,816
(C22×C6).448C23 = C3×C429C4central extension (φ=1)192(C2^2xC6).448C2^3192,817
(C22×C6).449C23 = C3×C23.8Q8central extension (φ=1)96(C2^2xC6).449C2^3192,818
(C22×C6).450C23 = C3×C23.23D4central extension (φ=1)96(C2^2xC6).450C2^3192,819
(C22×C6).451C23 = C3×C23.63C23central extension (φ=1)192(C2^2xC6).451C2^3192,820
(C22×C6).452C23 = C3×C24.C22central extension (φ=1)96(C2^2xC6).452C2^3192,821
(C22×C6).453C23 = C3×C23.65C23central extension (φ=1)192(C2^2xC6).453C2^3192,822
(C22×C6).454C23 = C3×C24.3C22central extension (φ=1)96(C2^2xC6).454C2^3192,823
(C22×C6).455C23 = C3×C23.67C23central extension (φ=1)192(C2^2xC6).455C2^3192,824
(C22×C6).456C23 = C3×C232D4central extension (φ=1)96(C2^2xC6).456C2^3192,825
(C22×C6).457C23 = C3×C23⋊Q8central extension (φ=1)96(C2^2xC6).457C2^3192,826
(C22×C6).458C23 = C3×C23.10D4central extension (φ=1)96(C2^2xC6).458C2^3192,827
(C22×C6).459C23 = C3×C23.78C23central extension (φ=1)192(C2^2xC6).459C2^3192,828
(C22×C6).460C23 = C3×C23.Q8central extension (φ=1)96(C2^2xC6).460C2^3192,829
(C22×C6).461C23 = C3×C23.11D4central extension (φ=1)96(C2^2xC6).461C2^3192,830
(C22×C6).462C23 = C3×C23.81C23central extension (φ=1)192(C2^2xC6).462C2^3192,831
(C22×C6).463C23 = C3×C23.4Q8central extension (φ=1)96(C2^2xC6).463C2^3192,832
(C22×C6).464C23 = C3×C23.83C23central extension (φ=1)192(C2^2xC6).464C2^3192,833
(C22×C6).465C23 = C3×C23.84C23central extension (φ=1)192(C2^2xC6).465C2^3192,834
(C22×C6).466C23 = C2×C6×C4⋊C4central extension (φ=1)192(C2^2xC6).466C2^3192,1402
(C22×C6).467C23 = C6×C42⋊C2central extension (φ=1)96(C2^2xC6).467C2^3192,1403
(C22×C6).468C23 = Q8×C2×C12central extension (φ=1)192(C2^2xC6).468C2^3192,1405
(C22×C6).469C23 = C6×C42.C2central extension (φ=1)192(C2^2xC6).469C2^3192,1416
(C22×C6).470C23 = C6×C4⋊Q8central extension (φ=1)192(C2^2xC6).470C2^3192,1420
(C22×C6).471C23 = Q8×C22×C6central extension (φ=1)192(C2^2xC6).471C2^3192,1532

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