# Extensions 1→N→G→Q→1 with N=S3×C2×C4 and Q=C22

Direct product G=N×Q with N=S3×C2×C4 and Q=C22
dρLabelID
S3×C23×C496S3xC2^3xC4192,1511

Semidirect products G=N:Q with N=S3×C2×C4 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×C2×C4)⋊1C22 = C4211D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):1C2^2192,1084
(S3×C2×C4)⋊2C22 = D4×D12φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):2C2^2192,1108
(S3×C2×C4)⋊3C22 = D45D12φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):3C2^2192,1113
(S3×C2×C4)⋊4C22 = C24.67D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):4C2^2192,1145
(S3×C2×C4)⋊5C22 = S3×C22≀C2φ: C22/C1C22 ⊆ Out S3×C2×C424(S3xC2xC4):5C2^2192,1147
(S3×C2×C4)⋊6C22 = C247D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):6C2^2192,1148
(S3×C2×C4)⋊7C22 = C248D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):7C2^2192,1149
(S3×C2×C4)⋊8C22 = C24.44D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):8C2^2192,1150
(S3×C2×C4)⋊9C22 = C24.45D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):9C2^2192,1151
(S3×C2×C4)⋊10C22 = C24.46D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):10C2^2192,1152
(S3×C2×C4)⋊11C22 = C24.47D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):11C2^2192,1154
(S3×C2×C4)⋊12C22 = C6.372+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):12C2^2192,1164
(S3×C2×C4)⋊13C22 = C6.382+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):13C2^2192,1166
(S3×C2×C4)⋊14C22 = D1219D4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):14C2^2192,1168
(S3×C2×C4)⋊15C22 = D1220D4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):15C2^2192,1171
(S3×C2×C4)⋊16C22 = C6.482+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):16C2^2192,1179
(S3×C2×C4)⋊17C22 = C4⋊C426D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):17C2^2192,1186
(S3×C2×C4)⋊18C22 = D1221D4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):18C2^2192,1189
(S3×C2×C4)⋊19C22 = C6.562+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):19C2^2192,1203
(S3×C2×C4)⋊20C22 = C6.1202+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):20C2^2192,1212
(S3×C2×C4)⋊21C22 = C6.1212+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):21C2^2192,1213
(S3×C2×C4)⋊22C22 = C4⋊C428D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):22C2^2192,1215
(S3×C2×C4)⋊23C22 = C6.612+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):23C2^2192,1216
(S3×C2×C4)⋊24C22 = C6.682+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):24C2^2192,1225
(S3×C2×C4)⋊25C22 = C4220D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):25C2^2192,1233
(S3×C2×C4)⋊26C22 = D1210D4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):26C2^2192,1235
(S3×C2×C4)⋊27C22 = C4225D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):27C2^2192,1263
(S3×C2×C4)⋊28C22 = C4227D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):28C2^2192,1270
(S3×C2×C4)⋊29C22 = D1211D4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):29C2^2192,1276
(S3×C2×C4)⋊30C22 = D4×C3⋊D4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):30C2^2192,1360
(S3×C2×C4)⋊31C22 = C24.52D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):31C2^2192,1364
(S3×C2×C4)⋊32C22 = C24.53D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):32C2^2192,1365
(S3×C2×C4)⋊33C22 = C2×D46D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):33C2^2192,1516
(S3×C2×C4)⋊34C22 = C2×D4○D12φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):34C2^2192,1521
(S3×C2×C4)⋊35C22 = C6.C25φ: C22/C1C22 ⊆ Out S3×C2×C4484(S3xC2xC4):35C2^2192,1523
(S3×C2×C4)⋊36C22 = S3×2+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C4248+(S3xC2xC4):36C2^2192,1524
(S3×C2×C4)⋊37C22 = D6.C24φ: C22/C1C22 ⊆ Out S3×C2×C4488-(S3xC2xC4):37C2^2192,1525
(S3×C2×C4)⋊38C22 = D12.39C23φ: C22/C1C22 ⊆ Out S3×C2×C4488+(S3xC2xC4):38C2^2192,1527
(S3×C2×C4)⋊39C22 = C24.35D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):39C2^2192,1045
(S3×C2×C4)⋊40C22 = C24.38D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):40C2^2192,1049
(S3×C2×C4)⋊41C22 = C24.41D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):41C2^2192,1053
(S3×C2×C4)⋊42C22 = C24.42D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):42C2^2192,1054
(S3×C2×C4)⋊43C22 = C429D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):43C2^2192,1080
(S3×C2×C4)⋊44C22 = C4210D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):44C2^2192,1083
(S3×C2×C4)⋊45C22 = C4212D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):45C2^2192,1086
(S3×C2×C4)⋊46C22 = C4213D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):46C2^2192,1104
(S3×C2×C4)⋊47C22 = C4214D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):47C2^2192,1106
(S3×C2×C4)⋊48C22 = D1223D4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):48C2^2192,1109
(S3×C2×C4)⋊49C22 = C4219D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):49C2^2192,1119
(S3×C2×C4)⋊50C22 = C6.402+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):50C2^2192,1169
(S3×C2×C4)⋊51C22 = C6.532+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):51C2^2192,1196
(S3×C2×C4)⋊52C22 = C4222D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):52C2^2192,1237
(S3×C2×C4)⋊53C22 = C4226D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):53C2^2192,1264
(S3×C2×C4)⋊54C22 = C24.83D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4):54C2^2192,1350
(S3×C2×C4)⋊55C22 = C2×C12⋊D4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):55C2^2192,1065
(S3×C2×C4)⋊56C22 = S3×C4⋊D4φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4):56C2^2192,1163
(S3×C2×C4)⋊57C22 = C2×D63D4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):57C2^2192,1359
(S3×C2×C4)⋊58C22 = C22×S3×D4φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4):58C2^2192,1514
(S3×C2×C4)⋊59C22 = C22×D42S3φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):59C2^2192,1515
(S3×C2×C4)⋊60C22 = C22×Q83S3φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):60C2^2192,1518
(S3×C2×C4)⋊61C22 = C2×S3×C4○D4φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4):61C2^2192,1520
(S3×C2×C4)⋊62C22 = C2×C4×D12φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):62C2^2192,1032
(S3×C2×C4)⋊63C22 = C2×S3×C22⋊C4φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4):63C2^2192,1043
(S3×C2×C4)⋊64C22 = C2×Dic34D4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):64C2^2192,1044
(S3×C2×C4)⋊65C22 = C2×C23.9D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):65C2^2192,1047
(S3×C2×C4)⋊66C22 = C2×Dic3⋊D4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):66C2^2192,1048
(S3×C2×C4)⋊67C22 = C2×Dic35D4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):67C2^2192,1062
(S3×C2×C4)⋊68C22 = C2×D6.D4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):68C2^2192,1064
(S3×C2×C4)⋊69C22 = C4×S3×D4φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4):69C2^2192,1103
(S3×C2×C4)⋊70C22 = S3×C22.D4φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4):70C2^2192,1211
(S3×C2×C4)⋊71C22 = C2×C4×C3⋊D4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):71C2^2192,1347
(S3×C2×C4)⋊72C22 = C22×C4○D12φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4):72C2^2192,1513

Non-split extensions G=N.Q with N=S3×C2×C4 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×C2×C4).1C22 = S3×C4.D4φ: C22/C1C22 ⊆ Out S3×C2×C4248+(S3xC2xC4).1C2^2192,303
(S3×C2×C4).2C22 = M4(2).19D6φ: C22/C1C22 ⊆ Out S3×C2×C4488-(S3xC2xC4).2C2^2192,304
(S3×C2×C4).3C22 = S3×C4.10D4φ: C22/C1C22 ⊆ Out S3×C2×C4488-(S3xC2xC4).3C2^2192,309
(S3×C2×C4).4C22 = M4(2).21D6φ: C22/C1C22 ⊆ Out S3×C2×C4488+(S3xC2xC4).4C2^2192,310
(S3×C2×C4).5C22 = C4⋊C419D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).5C2^2192,329
(S3×C2×C4).6C22 = D4⋊(C4×S3)φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).6C2^2192,330
(S3×C2×C4).7C22 = D4⋊D12φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).7C2^2192,332
(S3×C2×C4).8C22 = D6.D8φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).8C2^2192,333
(S3×C2×C4).9C22 = D65SD16φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).9C2^2192,335
(S3×C2×C4).10C22 = D6.SD16φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).10C2^2192,336
(S3×C2×C4).11C22 = D6⋊C811C2φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).11C2^2192,338
(S3×C2×C4).12C22 = C3⋊C81D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).12C2^2192,339
(S3×C2×C4).13C22 = D43D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).13C2^2192,340
(S3×C2×C4).14C22 = C3⋊C8⋊D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).14C2^2192,341
(S3×C2×C4).15C22 = D4.D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).15C2^2192,342
(S3×C2×C4).16C22 = C241C4⋊C2φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).16C2^2192,343
(S3×C2×C4).17C22 = (S3×Q8)⋊C4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).17C2^2192,361
(S3×C2×C4).18C22 = Q87(C4×S3)φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).18C2^2192,362
(S3×C2×C4).19C22 = D6.1SD16φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).19C2^2192,364
(S3×C2×C4).20C22 = Q83D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).20C2^2192,365
(S3×C2×C4).21C22 = Q8.11D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).21C2^2192,367
(S3×C2×C4).22C22 = D6⋊Q16φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).22C2^2192,368
(S3×C2×C4).23C22 = Q84D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).23C2^2192,369
(S3×C2×C4).24C22 = D6.Q16φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).24C2^2192,370
(S3×C2×C4).25C22 = C3⋊(C8⋊D4)φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).25C2^2192,371
(S3×C2×C4).26C22 = D6⋊C8.C2φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).26C2^2192,373
(S3×C2×C4).27C22 = C8⋊Dic3⋊C2φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).27C2^2192,374
(S3×C2×C4).28C22 = C3⋊C8.D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).28C2^2192,375
(S3×C2×C4).29C22 = C423D6φ: C22/C1C22 ⊆ Out S3×C2×C4484(S3xC2xC4).29C2^2192,380
(S3×C2×C4).30C22 = C8⋊(C4×S3)φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).30C2^2192,420
(S3×C2×C4).31C22 = D6.2SD16φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).31C2^2192,421
(S3×C2×C4).32C22 = D6.4SD16φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).32C2^2192,422
(S3×C2×C4).33C22 = C247D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).33C2^2192,424
(S3×C2×C4).34C22 = C4.Q8⋊S3φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).34C2^2192,425
(S3×C2×C4).35C22 = C8.2D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).35C2^2192,426
(S3×C2×C4).36C22 = C6.(C4○D8)φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).36C2^2192,427
(S3×C2×C4).37C22 = C8⋊S3⋊C4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).37C2^2192,440
(S3×C2×C4).38C22 = D6.5D8φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).38C2^2192,441
(S3×C2×C4).39C22 = D6.2Q16φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).39C2^2192,443
(S3×C2×C4).40C22 = C2.D8⋊S3φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).40C2^2192,444
(S3×C2×C4).41C22 = C83D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).41C2^2192,445
(S3×C2×C4).42C22 = C2.D87S3φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).42C2^2192,447
(S3×C2×C4).43C22 = M4(2).25D6φ: C22/C1C22 ⊆ Out S3×C2×C4484(S3xC2xC4).43C2^2192,452
(S3×C2×C4).44C22 = D12⋊D4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).44C2^2192,715
(S3×C2×C4).45C22 = Dic6⋊D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).45C2^2192,717
(S3×C2×C4).46C22 = C2412D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).46C2^2192,718
(S3×C2×C4).47C22 = D66SD16φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).47C2^2192,728
(S3×C2×C4).48C22 = D68SD16φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).48C2^2192,729
(S3×C2×C4).49C22 = D127D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).49C2^2192,731
(S3×C2×C4).50C22 = Dic6.16D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).50C2^2192,732
(S3×C2×C4).51C22 = C248D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).51C2^2192,733
(S3×C2×C4).52C22 = D65Q16φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).52C2^2192,745
(S3×C2×C4).53C22 = D12.17D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).53C2^2192,746
(S3×C2×C4).54C22 = C24.36D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).54C2^2192,748
(S3×C2×C4).55C22 = C6.2+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).55C2^2192,1069
(S3×C2×C4).56C22 = C6.52- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).56C2^2192,1072
(S3×C2×C4).57C22 = C6.112+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).57C2^2192,1073
(S3×C2×C4).58C22 = C42.91D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).58C2^2192,1082
(S3×C2×C4).59C22 = C42.92D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).59C2^2192,1085
(S3×C2×C4).60C22 = C42.94D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).60C2^2192,1088
(S3×C2×C4).61C22 = C42.95D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).61C2^2192,1089
(S3×C2×C4).62C22 = C42.98D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).62C2^2192,1092
(S3×C2×C4).63C22 = C42.108D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).63C2^2192,1105
(S3×C2×C4).64C22 = D1224D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).64C2^2192,1110
(S3×C2×C4).65C22 = D46D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).65C2^2192,1114
(S3×C2×C4).66C22 = C42.113D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).66C2^2192,1117
(S3×C2×C4).67C22 = C42.115D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).67C2^2192,1120
(S3×C2×C4).68C22 = C42.117D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).68C2^2192,1122
(S3×C2×C4).69C22 = C42.125D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).69C2^2192,1131
(S3×C2×C4).70C22 = C42.126D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).70C2^2192,1133
(S3×C2×C4).71C22 = Q8×D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).71C2^2192,1134
(S3×C2×C4).72C22 = Q86D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).72C2^2192,1135
(S3×C2×C4).73C22 = Q87D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).73C2^2192,1136
(S3×C2×C4).74C22 = D1210Q8φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).74C2^2192,1138
(S3×C2×C4).75C22 = C42.132D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).75C2^2192,1140
(S3×C2×C4).76C22 = C42.133D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).76C2^2192,1141
(S3×C2×C4).77C22 = C42.134D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).77C2^2192,1142
(S3×C2×C4).78C22 = C42.135D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).78C2^2192,1143
(S3×C2×C4).79C22 = C12⋊(C4○D4)φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).79C2^2192,1155
(S3×C2×C4).80C22 = C6.322+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).80C2^2192,1156
(S3×C2×C4).81C22 = Dic619D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).81C2^2192,1157
(S3×C2×C4).82C22 = Dic620D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).82C2^2192,1158
(S3×C2×C4).83C22 = C6.722- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).83C2^2192,1167
(S3×C2×C4).84C22 = C6.732- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).84C2^2192,1170
(S3×C2×C4).85C22 = C6.422+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).85C2^2192,1172
(S3×C2×C4).86C22 = C6.432+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).86C2^2192,1173
(S3×C2×C4).87C22 = C6.452+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).87C2^2192,1175
(S3×C2×C4).88C22 = C6.1152+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).88C2^2192,1177
(S3×C2×C4).89C22 = C6.472+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).89C2^2192,1178
(S3×C2×C4).90C22 = C6.492+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).90C2^2192,1180
(S3×C2×C4).91C22 = C4⋊C4.187D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).91C2^2192,1183
(S3×C2×C4).92C22 = S3×C22⋊Q8φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).92C2^2192,1185
(S3×C2×C4).93C22 = C6.162- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).93C2^2192,1187
(S3×C2×C4).94C22 = C6.172- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).94C2^2192,1188
(S3×C2×C4).95C22 = D1222D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).95C2^2192,1190
(S3×C2×C4).96C22 = Dic621D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).96C2^2192,1191
(S3×C2×C4).97C22 = Dic622D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).97C2^2192,1192
(S3×C2×C4).98C22 = C6.512+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).98C2^2192,1193
(S3×C2×C4).99C22 = C6.1182+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).99C2^2192,1194
(S3×C2×C4).100C22 = C6.522+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).100C2^2192,1195
(S3×C2×C4).101C22 = C6.212- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).101C2^2192,1198
(S3×C2×C4).102C22 = C6.232- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).102C2^2192,1200
(S3×C2×C4).103C22 = C6.772- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).103C2^2192,1201
(S3×C2×C4).104C22 = C6.242- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).104C2^2192,1202
(S3×C2×C4).105C22 = C6.782- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).105C2^2192,1204
(S3×C2×C4).106C22 = C6.252- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).106C2^2192,1205
(S3×C2×C4).107C22 = C6.592+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).107C2^2192,1206
(S3×C2×C4).108C22 = C6.792- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).108C2^2192,1207
(S3×C2×C4).109C22 = C4⋊C4.197D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).109C2^2192,1208
(S3×C2×C4).110C22 = C6.822- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).110C2^2192,1214
(S3×C2×C4).111C22 = C6.1222+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).111C2^2192,1217
(S3×C2×C4).112C22 = C6.622+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).112C2^2192,1218
(S3×C2×C4).113C22 = C6.632+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).113C2^2192,1219
(S3×C2×C4).114C22 = C6.642+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).114C2^2192,1220
(S3×C2×C4).115C22 = C6.662+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).115C2^2192,1222
(S3×C2×C4).116C22 = C6.852- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).116C2^2192,1224
(S3×C2×C4).117C22 = C6.692+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).117C2^2192,1226
(S3×C2×C4).118C22 = C42.233D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).118C2^2192,1227
(S3×C2×C4).119C22 = C42.137D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).119C2^2192,1228
(S3×C2×C4).120C22 = C42.141D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).120C2^2192,1234
(S3×C2×C4).121C22 = Dic610D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).121C2^2192,1236
(S3×C2×C4).122C22 = C42.144D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).122C2^2192,1241
(S3×C2×C4).123C22 = C42.145D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).123C2^2192,1243
(S3×C2×C4).124C22 = C42.148D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).124C2^2192,1248
(S3×C2×C4).125C22 = C42.237D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).125C2^2192,1250
(S3×C2×C4).126C22 = C42.150D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).126C2^2192,1251
(S3×C2×C4).127C22 = C42.151D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).127C2^2192,1252
(S3×C2×C4).128C22 = C42.152D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).128C2^2192,1253
(S3×C2×C4).129C22 = C42.153D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).129C2^2192,1254
(S3×C2×C4).130C22 = C42.154D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).130C2^2192,1255
(S3×C2×C4).131C22 = C42.155D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).131C2^2192,1256
(S3×C2×C4).132C22 = C42.156D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).132C2^2192,1257
(S3×C2×C4).133C22 = C42.157D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).133C2^2192,1258
(S3×C2×C4).134C22 = C42.158D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).134C2^2192,1259
(S3×C2×C4).135C22 = C42.163D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).135C2^2192,1268
(S3×C2×C4).136C22 = C42.164D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).136C2^2192,1269
(S3×C2×C4).137C22 = C42.165D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).137C2^2192,1271
(S3×C2×C4).138C22 = C4228D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).138C2^2192,1274
(S3×C2×C4).139C22 = Dic611D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).139C2^2192,1277
(S3×C2×C4).140C22 = C42.168D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).140C2^2192,1278
(S3×C2×C4).141C22 = S3×C4⋊Q8φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).141C2^2192,1282
(S3×C2×C4).142C22 = C42.171D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).142C2^2192,1283
(S3×C2×C4).143C22 = C42.240D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).143C2^2192,1284
(S3×C2×C4).144C22 = D1212D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).144C2^2192,1285
(S3×C2×C4).145C22 = D128Q8φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).145C2^2192,1286
(S3×C2×C4).146C22 = C42.174D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).146C2^2192,1288
(S3×C2×C4).147C22 = D129Q8φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).147C2^2192,1289
(S3×C2×C4).148C22 = C42.176D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).148C2^2192,1290
(S3×C2×C4).149C22 = C42.177D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).149C2^2192,1291
(S3×C2×C4).150C22 = C42.178D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).150C2^2192,1292
(S3×C2×C4).151C22 = C42.179D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).151C2^2192,1293
(S3×C2×C4).152C22 = C42.180D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).152C2^2192,1294
(S3×C2×C4).153C22 = M4(2)⋊26D6φ: C22/C1C22 ⊆ Out S3×C2×C4484(S3xC2xC4).153C2^2192,1304
(S3×C2×C4).154C22 = M4(2)⋊28D6φ: C22/C1C22 ⊆ Out S3×C2×C4484(S3xC2xC4).154C2^2192,1309
(S3×C2×C4).155C22 = C2×D8⋊S3φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).155C2^2192,1314
(S3×C2×C4).156C22 = C2×Q83D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).156C2^2192,1318
(S3×C2×C4).157C22 = C2×D4.D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).157C2^2192,1319
(S3×C2×C4).158C22 = C2×Q16⋊S3φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).158C2^2192,1323
(S3×C2×C4).159C22 = SD16⋊D6φ: C22/C1C22 ⊆ Out S3×C2×C4484(S3xC2xC4).159C2^2192,1327
(S3×C2×C4).160C22 = S3×C8⋊C22φ: C22/C1C22 ⊆ Out S3×C2×C4248+(S3xC2xC4).160C2^2192,1331
(S3×C2×C4).161C22 = D84D6φ: C22/C1C22 ⊆ Out S3×C2×C4488-(S3xC2xC4).161C2^2192,1332
(S3×C2×C4).162C22 = S3×C8.C22φ: C22/C1C22 ⊆ Out S3×C2×C4488-(S3xC2xC4).162C2^2192,1335
(S3×C2×C4).163C22 = D24⋊C22φ: C22/C1C22 ⊆ Out S3×C2×C4488+(S3xC2xC4).163C2^2192,1336
(S3×C2×C4).164C22 = Q8×C3⋊D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).164C2^2192,1374
(S3×C2×C4).165C22 = C6.442- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).165C2^2192,1375
(S3×C2×C4).166C22 = C6.452- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).166C2^2192,1376
(S3×C2×C4).167C22 = C6.1042- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).167C2^2192,1383
(S3×C2×C4).168C22 = C6.1452+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).168C2^2192,1388
(S3×C2×C4).169C22 = C6.1072- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).169C2^2192,1390
(S3×C2×C4).170C22 = C6.1082- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).170C2^2192,1392
(S3×C2×C4).171C22 = C6.1482+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).171C2^2192,1393
(S3×C2×C4).172C22 = C2×Q8.15D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).172C2^2192,1519
(S3×C2×C4).173C22 = C2×Q8○D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).173C2^2192,1522
(S3×C2×C4).174C22 = S3×2- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C4488-(S3xC2xC4).174C2^2192,1526
(S3×C2×C4).175C22 = C86D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).175C2^2192,247
(S3×C2×C4).176C22 = C42.243D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).176C2^2192,249
(S3×C2×C4).177C22 = C89D12φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).177C2^2192,265
(S3×C2×C4).178C22 = C42.185D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).178C2^2192,268
(S3×C2×C4).179C22 = Dic3⋊M4(2)φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).179C2^2192,288
(S3×C2×C4).180C22 = C3⋊C826D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).180C2^2192,289
(S3×C2×C4).181C22 = C122M4(2)φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).181C2^2192,397
(S3×C2×C4).182C22 = C42.31D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).182C2^2192,399
(S3×C2×C4).183C22 = (C22×C8)⋊7S3φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).183C2^2192,669
(S3×C2×C4).184C22 = C2433D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).184C2^2192,670
(S3×C2×C4).185C22 = C2421D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).185C2^2192,687
(S3×C2×C4).186C22 = D6⋊C840C2φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).186C2^2192,688
(S3×C2×C4).187C22 = C42.276D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).187C2^2192,1036
(S3×C2×C4).188C22 = C42.277D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).188C2^2192,1038
(S3×C2×C4).189C22 = C6.82+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).189C2^2192,1063
(S3×C2×C4).190C22 = C6.2- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).190C2^2192,1066
(S3×C2×C4).191C22 = C6.102+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).191C2^2192,1070
(S3×C2×C4).192C22 = C6.62- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).192C2^2192,1074
(S3×C2×C4).193C22 = C42.96D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).193C2^2192,1090
(S3×C2×C4).194C22 = C42.97D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).194C2^2192,1091
(S3×C2×C4).195C22 = C42.99D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).195C2^2192,1093
(S3×C2×C4).196C22 = C42.100D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).196C2^2192,1094
(S3×C2×C4).197C22 = C42.102D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).197C2^2192,1097
(S3×C2×C4).198C22 = C42.104D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).198C2^2192,1099
(S3×C2×C4).199C22 = Dic623D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).199C2^2192,1111
(S3×C2×C4).200C22 = Dic624D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).200C2^2192,1112
(S3×C2×C4).201C22 = C4218D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).201C2^2192,1115
(S3×C2×C4).202C22 = C42.114D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).202C2^2192,1118
(S3×C2×C4).203C22 = C42.116D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).203C2^2192,1121
(S3×C2×C4).204C22 = C42.118D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).204C2^2192,1123
(S3×C2×C4).205C22 = C42.119D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).205C2^2192,1124
(S3×C2×C4).206C22 = C42.122D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).206C2^2192,1127
(S3×C2×C4).207C22 = C42.136D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).207C2^2192,1144
(S3×C2×C4).208C22 = C6.342+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).208C2^2192,1160
(S3×C2×C4).209C22 = C6.442+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).209C2^2192,1174
(S3×C2×C4).210C22 = C6.202- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).210C2^2192,1197
(S3×C2×C4).211C22 = C6.222- 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).211C2^2192,1199
(S3×C2×C4).212C22 = C6.652+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).212C2^2192,1221
(S3×C2×C4).213C22 = C6.672+ 1+4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).213C2^2192,1223
(S3×C2×C4).214C22 = C42.138D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).214C2^2192,1229
(S3×C2×C4).215C22 = C4223D6φ: C22/C1C22 ⊆ Out S3×C2×C448(S3xC2xC4).215C2^2192,1238
(S3×C2×C4).216C22 = C42.143D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).216C2^2192,1240
(S3×C2×C4).217C22 = D127Q8φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).217C2^2192,1249
(S3×C2×C4).218C22 = C42.160D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).218C2^2192,1261
(S3×C2×C4).219C22 = C42.161D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).219C2^2192,1266
(S3×C2×C4).220C22 = C42.162D6φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).220C2^2192,1267
(S3×C2×C4).221C22 = (C2×C12)⋊17D4φ: C22/C1C22 ⊆ Out S3×C2×C496(S3xC2xC4).221C2^2192,1391
(S3×C2×C4).222C22 = S3×D4⋊C4φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).222C2^2192,328
(S3×C2×C4).223C22 = D42S3⋊C4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).223C2^2192,331
(S3×C2×C4).224C22 = D6⋊D8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).224C2^2192,334
(S3×C2×C4).225C22 = D6⋊SD16φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).225C2^2192,337
(S3×C2×C4).226C22 = S3×Q8⋊C4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).226C2^2192,360
(S3×C2×C4).227C22 = C4⋊C4.150D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).227C2^2192,363
(S3×C2×C4).228C22 = D62SD16φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).228C2^2192,366
(S3×C2×C4).229C22 = D61Q16φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).229C2^2192,372
(S3×C2×C4).230C22 = S3×C4≀C2φ: C22/C2C2 ⊆ Out S3×C2×C4244(S3xC2xC4).230C2^2192,379
(S3×C2×C4).231C22 = S3×C4.Q8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).231C2^2192,418
(S3×C2×C4).232C22 = (S3×C8)⋊C4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).232C2^2192,419
(S3×C2×C4).233C22 = C88D12φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).233C2^2192,423
(S3×C2×C4).234C22 = S3×C2.D8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).234C2^2192,438
(S3×C2×C4).235C22 = C8.27(C4×S3)φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).235C2^2192,439
(S3×C2×C4).236C22 = D62D8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).236C2^2192,442
(S3×C2×C4).237C22 = D62Q16φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).237C2^2192,446
(S3×C2×C4).238C22 = S3×C8.C4φ: C22/C2C2 ⊆ Out S3×C2×C4484(S3xC2xC4).238C2^2192,451
(S3×C2×C4).239C22 = D63D8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).239C2^2192,716
(S3×C2×C4).240C22 = C2414D4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).240C2^2192,730
(S3×C2×C4).241C22 = D63Q16φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).241C2^2192,747
(S3×C2×C4).242C22 = C2×S3×C4⋊C4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).242C2^2192,1060
(S3×C2×C4).243C22 = C2×C4⋊C47S3φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).243C2^2192,1061
(S3×C2×C4).244C22 = C2×C4.D12φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).244C2^2192,1068
(S3×C2×C4).245C22 = S3×C42⋊C2φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).245C2^2192,1079
(S3×C2×C4).246C22 = C4×Q83S3φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).246C2^2192,1132
(S3×C2×C4).247C22 = C4⋊C421D6φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).247C2^2192,1165
(S3×C2×C4).248C22 = S3×C42.C2φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).248C2^2192,1246
(S3×C2×C4).249C22 = C42.236D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).249C2^2192,1247
(S3×C2×C4).250C22 = S3×C41D4φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).250C2^2192,1273
(S3×C2×C4).251C22 = C42.238D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).251C2^2192,1275
(S3×C2×C4).252C22 = C42.241D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).252C2^2192,1287
(S3×C2×C4).253C22 = C2×S3×M4(2)φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).253C2^2192,1302
(S3×C2×C4).254C22 = S3×C8○D4φ: C22/C2C2 ⊆ Out S3×C2×C4484(S3xC2xC4).254C2^2192,1308
(S3×C2×C4).255C22 = C2×S3×D8φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).255C2^2192,1313
(S3×C2×C4).256C22 = C2×D83S3φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).256C2^2192,1315
(S3×C2×C4).257C22 = C2×S3×SD16φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).257C2^2192,1317
(S3×C2×C4).258C22 = C2×Q8.7D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).258C2^2192,1320
(S3×C2×C4).259C22 = C2×S3×Q16φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).259C2^2192,1322
(S3×C2×C4).260C22 = C2×D24⋊C2φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).260C2^2192,1324
(S3×C2×C4).261C22 = S3×C4○D8φ: C22/C2C2 ⊆ Out S3×C2×C4484(S3xC2xC4).261C2^2192,1326
(S3×C2×C4).262C22 = C2×D63Q8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).262C2^2192,1372
(S3×C2×C4).263C22 = (C2×D4)⋊43D6φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).263C2^2192,1387
(S3×C2×C4).264C22 = C22×S3×Q8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).264C2^2192,1517
(S3×C2×C4).265C22 = C42.282D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).265C2^2192,244
(S3×C2×C4).266C22 = C8×D12φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).266C2^2192,245
(S3×C2×C4).267C22 = C4×C8⋊S3φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).267C2^2192,246
(S3×C2×C4).268C22 = D6.C42φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).268C2^2192,248
(S3×C2×C4).269C22 = C42.182D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).269C2^2192,264
(S3×C2×C4).270C22 = Dic35M4(2)φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).270C2^2192,266
(S3×C2×C4).271C22 = D6.4C42φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).271C2^2192,267
(S3×C2×C4).272C22 = C3⋊D4⋊C8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).272C2^2192,284
(S3×C2×C4).273C22 = D6⋊M4(2)φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).273C2^2192,285
(S3×C2×C4).274C22 = D6⋊C8⋊C2φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).274C2^2192,286
(S3×C2×C4).275C22 = D62M4(2)φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).275C2^2192,287
(S3×C2×C4).276C22 = C42.200D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).276C2^2192,392
(S3×C2×C4).277C22 = D12⋊C8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).277C2^2192,393
(S3×C2×C4).278C22 = C42.202D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).278C2^2192,394
(S3×C2×C4).279C22 = D63M4(2)φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).279C2^2192,395
(S3×C2×C4).280C22 = C12⋊M4(2)φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).280C2^2192,396
(S3×C2×C4).281C22 = C42.30D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).281C2^2192,398
(S3×C2×C4).282C22 = C2×D6⋊C8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).282C2^2192,667
(S3×C2×C4).283C22 = C8×C3⋊D4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).283C2^2192,668
(S3×C2×C4).284C22 = D66M4(2)φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).284C2^2192,685
(S3×C2×C4).285C22 = C24⋊D4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).285C2^2192,686
(S3×C2×C4).286C22 = C2×C422S3φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).286C2^2192,1031
(S3×C2×C4).287C22 = C4×C4○D12φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).287C2^2192,1033
(S3×C2×C4).288C22 = C2×D6⋊Q8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).288C2^2192,1067
(S3×C2×C4).289C22 = C42.188D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).289C2^2192,1081
(S3×C2×C4).290C22 = C42.93D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).290C2^2192,1087
(S3×C2×C4).291C22 = C4×D42S3φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).291C2^2192,1095
(S3×C2×C4).292C22 = C42.228D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).292C2^2192,1107
(S3×C2×C4).293C22 = C42.229D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).293C2^2192,1116
(S3×C2×C4).294C22 = C4×S3×Q8φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).294C2^2192,1130
(S3×C2×C4).295C22 = C42.232D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).295C2^2192,1137
(S3×C2×C4).296C22 = C42.131D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).296C2^2192,1139
(S3×C2×C4).297C22 = S3×C4.4D4φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).297C2^2192,1232
(S3×C2×C4).298C22 = C42.234D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).298C2^2192,1239
(S3×C2×C4).299C22 = S3×C422C2φ: C22/C2C2 ⊆ Out S3×C2×C448(S3xC2xC4).299C2^2192,1262
(S3×C2×C4).300C22 = C42.189D6φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).300C2^2192,1265
(S3×C2×C4).301C22 = C22×C8⋊S3φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).301C2^2192,1296
(S3×C2×C4).302C22 = C2×C8○D12φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).302C2^2192,1297
(S3×C2×C4).303C22 = C2×D12.C4φ: C22/C2C2 ⊆ Out S3×C2×C496(S3xC2xC4).303C2^2192,1303
(S3×C2×C4).304C22 = S3×C4×C8φ: trivial image96(S3xC2xC4).304C2^2192,243
(S3×C2×C4).305C22 = S3×C8⋊C4φ: trivial image96(S3xC2xC4).305C2^2192,263
(S3×C2×C4).306C22 = S3×C22⋊C8φ: trivial image48(S3xC2xC4).306C2^2192,283
(S3×C2×C4).307C22 = S3×C4⋊C8φ: trivial image96(S3xC2xC4).307C2^2192,391
(S3×C2×C4).308C22 = S3×C2×C42φ: trivial image96(S3xC2xC4).308C2^2192,1030
(S3×C2×C4).309C22 = S3×C22×C8φ: trivial image96(S3xC2xC4).309C2^2192,1295

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