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Extensions 1→N→G→Q→1 with N=C4×C12 and Q=C22

Direct product G=N×Q with N=C4×C12 and Q=C22
dρLabelID
C22×C4×C12192C2^2xC4xC12192,1400

Semidirect products G=N:Q with N=C4×C12 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C4×C12)⋊1C22 = C42⋊11D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):1C2^2192,1084
(C4×C12)⋊2C22 = C42⋊27D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):2C2^2192,1270
(C4×C12)⋊3C22 = C42⋊6D6φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12):3C2^2192,564
(C4×C12)⋊4C22 = C42⋊9D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):4C2^2192,1080
(C4×C12)⋊5C22 = C42⋊10D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):5C2^2192,1083
(C4×C12)⋊6C22 = C42⋊12D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):6C2^2192,1086
(C4×C12)⋊7C22 = C42⋊25D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):7C2^2192,1263
(C4×C12)⋊8C22 = C42⋊26D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):8C2^2192,1264
(C4×C12)⋊9C22 = S3×C4≀C2φ: C22/C1 → C22 ⊆ Aut C4×C12244(C4xC12):9C2^2192,379
(C4×C12)⋊10C22 = C42⋊3D6φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12):10C2^2192,380
(C4×C12)⋊11C22 = Q8⋊5D12φ: C22/C1 → C22 ⊆ Aut C4×C12244+(C4xC12):11C2^2192,381
(C4×C12)⋊12C22 = C42⋊5D6φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12):12C2^2192,384
(C4×C12)⋊13C22 = C42⋊7D6φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12):13C2^2192,620
(C4×C12)⋊14C22 = C42⋊8D6φ: C22/C1 → C22 ⊆ Aut C4×C12244(C4xC12):14C2^2192,636
(C4×C12)⋊15C22 = C4×S3×D4φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):15C2^2192,1103
(C4×C12)⋊16C22 = C42⋊13D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):16C2^2192,1104
(C4×C12)⋊17C22 = C42⋊14D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):17C2^2192,1106
(C4×C12)⋊18C22 = D4×D12φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):18C2^2192,1108
(C4×C12)⋊19C22 = D12⋊23D4φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):19C2^2192,1109
(C4×C12)⋊20C22 = D4⋊5D12φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):20C2^2192,1113
(C4×C12)⋊21C22 = S3×C4.4D4φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):21C2^2192,1232
(C4×C12)⋊22C22 = C42⋊20D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):22C2^2192,1233
(C4×C12)⋊23C22 = D12⋊10D4φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):23C2^2192,1235
(C4×C12)⋊24C22 = C42⋊22D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):24C2^2192,1237
(C4×C12)⋊25C22 = S3×C4⋊1D4φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):25C2^2192,1273
(C4×C12)⋊26C22 = C42⋊28D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):26C2^2192,1274
(C4×C12)⋊27C22 = D12⋊11D4φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):27C2^2192,1276
(C4×C12)⋊28C22 = C42⋊19D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):28C2^2192,1119
(C4×C12)⋊29C22 = C42⋊24D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):29C2^2192,1242
(C4×C12)⋊30C22 = S3×C42⋊C2φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):30C2^2192,1079
(C4×C12)⋊31C22 = S3×C42⋊2C2φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):31C2^2192,1262
(C4×C12)⋊32C22 = C42⋊18D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):32C2^2192,1115
(C4×C12)⋊33C22 = C42⋊23D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):33C2^2192,1238
(C4×C12)⋊34C22 = C3×C42⋊C22φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12):34C2^2192,854
(C4×C12)⋊35C22 = C3×D4⋊4D4φ: C22/C1 → C22 ⊆ Aut C4×C12244(C4xC12):35C2^2192,886
(C4×C12)⋊36C22 = C3×D4.9D4φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12):36C2^2192,888
(C4×C12)⋊37C22 = C42⋊30D6φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):37C2^2192,1279
(C4×C12)⋊38C22 = C3×C22.11C24φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):38C2^2192,1407
(C4×C12)⋊39C22 = C3×C22.19C24φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):39C2^2192,1414
(C4×C12)⋊40C22 = C3×C22.29C24φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):40C2^2192,1424
(C4×C12)⋊41C22 = C3×C22.32C24φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):41C2^2192,1427
(C4×C12)⋊42C22 = C3×D42φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):42C2^2192,1434
(C4×C12)⋊43C22 = C3×D4⋊5D4φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):43C2^2192,1435
(C4×C12)⋊44C22 = C3×C22.45C24φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):44C2^2192,1440
(C4×C12)⋊45C22 = C3×C22.54C24φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):45C2^2192,1449
(C4×C12)⋊46C22 = C3×C24⋊C22φ: C22/C1 → C22 ⊆ Aut C4×C1248(C4xC12):46C2^2192,1450
(C4×C12)⋊47C22 = C2×C42⋊3S3φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):47C2^2192,1037
(C4×C12)⋊48C22 = C6×C42⋊C2φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):48C2^2192,1403
(C4×C12)⋊49C22 = C6×C42⋊2C2φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):49C2^2192,1417
(C4×C12)⋊50C22 = C2×C4⋊D12φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):50C2^2192,1034
(C4×C12)⋊51C22 = C2×C42⋊7S3φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):51C2^2192,1035
(C4×C12)⋊52C22 = C2×C42⋊4S3φ: C22/C2 → C2 ⊆ Aut C4×C1248(C4xC12):52C2^2192,486
(C4×C12)⋊53C22 = C2×C4×D12φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):53C2^2192,1032
(C4×C12)⋊54C22 = S3×C2×C42φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):54C2^2192,1030
(C4×C12)⋊55C22 = C2×C42⋊2S3φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):55C2^2192,1031
(C4×C12)⋊56C22 = C6×C4≀C2φ: C22/C2 → C2 ⊆ Aut C4×C1248(C4xC12):56C2^2192,853
(C4×C12)⋊57C22 = D4×C2×C12φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):57C2^2192,1404
(C4×C12)⋊58C22 = C6×C4.4D4φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):58C2^2192,1415
(C4×C12)⋊59C22 = C6×C4⋊1D4φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12):59C2^2192,1419

Non-split extensions G=N.Q with N=C4×C12 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C4×C12).1C22 = C8⋊Dic6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).1C2^2192,261
(C4×C12).2C22 = C42.14D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).2C2^2192,262
(C4×C12).3C22 = C8⋊D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).3C2^2192,271
(C4×C12).4C22 = C42.19D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).4C2^2192,272
(C4×C12).5C22 = C42.20D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).5C2^2192,273
(C4×C12).6C22 = C8.D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).6C2^2192,274
(C4×C12).7C22 = C42.90D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).7C2^2192,1078
(C4×C12).8C22 = C42.92D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).8C2^2192,1085
(C4×C12).9C22 = C42.165D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).9C2^2192,1271
(C4×C12).10C22 = C42.D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).10C2^2192,23
(C4×C12).11C22 = C42.2D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).11C2^2192,24
(C4×C12).12C22 = C24⋊Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).12C2^2192,260
(C4×C12).13C22 = C8⋊9D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).13C2^2192,265
(C4×C12).14C22 = C42.16D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).14C2^2192,269
(C4×C12).15C22 = D24⋊C4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).15C2^2192,270
(C4×C12).16C22 = Dic12⋊C4φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).16C2^2192,275
(C4×C12).17C22 = D24⋊4C4φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12).17C2^2192,276
(C4×C12).18C22 = C42.43D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).18C2^2192,558
(C4×C12).19C22 = C42.187D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).19C2^2192,559
(C4×C12).20C22 = C42.87D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).20C2^2192,1075
(C4×C12).21C22 = C42.88D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).21C2^2192,1076
(C4×C12).22C22 = C42.89D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).22C2^2192,1077
(C4×C12).23C22 = C42.91D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).23C2^2192,1082
(C4×C12).24C22 = C42.94D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).24C2^2192,1088
(C4×C12).25C22 = C42.95D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).25C2^2192,1089
(C4×C12).26C22 = C42.96D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).26C2^2192,1090
(C4×C12).27C22 = C42.97D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).27C2^2192,1091
(C4×C12).28C22 = C42.98D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).28C2^2192,1092
(C4×C12).29C22 = C42.99D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).29C2^2192,1093
(C4×C12).30C22 = C42.100D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).30C2^2192,1094
(C4×C12).31C22 = C42.159D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).31C2^2192,1260
(C4×C12).32C22 = C42.160D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).32C2^2192,1261
(C4×C12).33C22 = C42.161D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).33C2^2192,1266
(C4×C12).34C22 = C42.162D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).34C2^2192,1267
(C4×C12).35C22 = C42.163D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).35C2^2192,1268
(C4×C12).36C22 = C42.164D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).36C2^2192,1269
(C4×C12).37C22 = C12.53D8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).37C2^2192,38
(C4×C12).38C22 = C12.39SD16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).38C2^2192,39
(C4×C12).39C22 = C4.Dic12φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).39C2^2192,40
(C4×C12).40C22 = C12.47D8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).40C2^2192,41
(C4×C12).41C22 = D12⋊2C8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).41C2^2192,42
(C4×C12).42C22 = Dic6⋊2C8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).42C2^2192,43
(C4×C12).43C22 = C4.D24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).43C2^2192,44
(C4×C12).44C22 = C12.2D8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).44C2^2192,45
(C4×C12).45C22 = C12.57D8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).45C2^2192,93
(C4×C12).46C22 = C12.26Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).46C2^2192,94
(C4×C12).47C22 = C12.9D8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).47C2^2192,103
(C4×C12).48C22 = C12.5Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).48C2^2192,105
(C4×C12).49C22 = C12.10D8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).49C2^2192,106
(C4×C12).50C22 = M4(2).22D6φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12).50C2^2192,382
(C4×C12).51C22 = C42.196D6φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12).51C2^2192,383
(C4×C12).52C22 = Q8.14D12φ: C22/C1 → C22 ⊆ Aut C4×C12484-(C4xC12).52C2^2192,385
(C4×C12).53C22 = D4.10D12φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12).53C2^2192,386
(C4×C12).54C22 = C42.27D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).54C2^2192,387
(C4×C12).55C22 = Dic6.3Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).55C2^2192,388
(C4×C12).56C22 = Dic6⋊C8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).56C2^2192,389
(C4×C12).57C22 = C42.198D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).57C2^2192,390
(C4×C12).58C22 = S3×C4⋊C8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).58C2^2192,391
(C4×C12).59C22 = C42.200D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).59C2^2192,392
(C4×C12).60C22 = D12⋊C8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).60C2^2192,393
(C4×C12).61C22 = C42.202D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).61C2^2192,394
(C4×C12).62C22 = D6⋊3M4(2)φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).62C2^2192,395
(C4×C12).63C22 = C12⋊M4(2)φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).63C2^2192,396
(C4×C12).64C22 = C12⋊2M4(2)φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).64C2^2192,397
(C4×C12).65C22 = C42.30D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).65C2^2192,398
(C4×C12).66C22 = C42.31D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).66C2^2192,399
(C4×C12).67C22 = C12⋊SD16φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).67C2^2192,400
(C4×C12).68C22 = D12⋊3Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).68C2^2192,401
(C4×C12).69C22 = C4⋊D24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).69C2^2192,402
(C4×C12).70C22 = D12.19D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).70C2^2192,403
(C4×C12).71C22 = C42.36D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).71C2^2192,404
(C4×C12).72C22 = D12⋊4Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).72C2^2192,405
(C4×C12).73C22 = D12.3Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).73C2^2192,406
(C4×C12).74C22 = Dic6⋊8D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).74C2^2192,407
(C4×C12).75C22 = C4⋊Dic12φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).75C2^2192,408
(C4×C12).76C22 = Dic6⋊3Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).76C2^2192,409
(C4×C12).77C22 = Dic6⋊4Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).77C2^2192,410
(C4×C12).78C22 = C12.50D8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).78C2^2192,566
(C4×C12).79C22 = C12.38SD16φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).79C2^2192,567
(C4×C12).80C22 = D4.3Dic6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).80C2^2192,568
(C4×C12).81C22 = D4×C3⋊C8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).81C2^2192,569
(C4×C12).82C22 = C42.47D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).82C2^2192,570
(C4×C12).83C22 = C12⋊3M4(2)φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).83C2^2192,571
(C4×C12).84C22 = C4×D4⋊S3φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).84C2^2192,572
(C4×C12).85C22 = C42.48D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).85C2^2192,573
(C4×C12).86C22 = C12⋊7D8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).86C2^2192,574
(C4×C12).87C22 = D4.1D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).87C2^2192,575
(C4×C12).88C22 = C4×D4.S3φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).88C2^2192,576
(C4×C12).89C22 = C42.51D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).89C2^2192,577
(C4×C12).90C22 = D4.2D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).90C2^2192,578
(C4×C12).91C22 = Q8⋊4Dic6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).91C2^2192,579
(C4×C12).92C22 = Q8⋊5Dic6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).92C2^2192,580
(C4×C12).93C22 = Q8.5Dic6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).93C2^2192,581
(C4×C12).94C22 = Q8×C3⋊C8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).94C2^2192,582
(C4×C12).95C22 = C42.210D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).95C2^2192,583
(C4×C12).96C22 = C4×Q8⋊2S3φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).96C2^2192,584
(C4×C12).97C22 = C42.56D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).97C2^2192,585
(C4×C12).98C22 = Q8⋊2D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).98C2^2192,586
(C4×C12).99C22 = Q8.6D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).99C2^2192,587
(C4×C12).100C22 = C4×C3⋊Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).100C2^2192,588
(C4×C12).101C22 = C42.59D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).101C2^2192,589
(C4×C12).102C22 = C12⋊7Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).102C2^2192,590
(C4×C12).103C22 = C42.61D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).103C2^2192,613
(C4×C12).104C22 = C42.62D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).104C2^2192,614
(C4×C12).105C22 = C42.213D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).105C2^2192,615
(C4×C12).106C22 = D12.23D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).106C2^2192,616
(C4×C12).107C22 = C42.64D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).107C2^2192,617
(C4×C12).108C22 = C42.214D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).108C2^2192,618
(C4×C12).109C22 = C42.65D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).109C2^2192,619
(C4×C12).110C22 = D12.14D4φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12).110C2^2192,621
(C4×C12).111C22 = Dic6.4Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).111C2^2192,622
(C4×C12).112C22 = C42.68D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).112C2^2192,623
(C4×C12).113C22 = C42.215D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).113C2^2192,624
(C4×C12).114C22 = D12.4Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).114C2^2192,625
(C4×C12).115C22 = C42.70D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).115C2^2192,626
(C4×C12).116C22 = C42.216D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).116C2^2192,627
(C4×C12).117C22 = C42.71D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).117C2^2192,628
(C4×C12).118C22 = C12.16D8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).118C2^2192,629
(C4×C12).119C22 = C42.72D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).119C2^2192,630
(C4×C12).120C22 = C12⋊2D8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).120C2^2192,631
(C4×C12).121C22 = C12⋊D8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).121C2^2192,632
(C4×C12).122C22 = C42.74D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).122C2^2192,633
(C4×C12).123C22 = Dic6⋊9D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).123C2^2192,634
(C4×C12).124C22 = C12⋊4SD16φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).124C2^2192,635
(C4×C12).125C22 = C12.17D8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).125C2^2192,637
(C4×C12).126C22 = C12.9Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).126C2^2192,638
(C4×C12).127C22 = C12.SD16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).127C2^2192,639
(C4×C12).128C22 = C42.76D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).128C2^2192,640
(C4×C12).129C22 = C42.77D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).129C2^2192,641
(C4×C12).130C22 = C12⋊5SD16φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).130C2^2192,642
(C4×C12).131C22 = D12⋊5Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).131C2^2192,643
(C4×C12).132C22 = C12⋊6SD16φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).132C2^2192,644
(C4×C12).133C22 = C42.80D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).133C2^2192,645
(C4×C12).134C22 = D12⋊6Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).134C2^2192,646
(C4×C12).135C22 = C12.D8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).135C2^2192,647
(C4×C12).136C22 = C42.82D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).136C2^2192,648
(C4×C12).137C22 = C12⋊Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).137C2^2192,649
(C4×C12).138C22 = Dic6⋊5Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).138C2^2192,650
(C4×C12).139C22 = C12⋊3Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).139C2^2192,651
(C4×C12).140C22 = C12.Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).140C2^2192,652
(C4×C12).141C22 = Dic6⋊6Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).141C2^2192,653
(C4×C12).142C22 = D12.15D4φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12).142C2^2192,654
(C4×C12).143C22 = C4×D4⋊2S3φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).143C2^2192,1095
(C4×C12).144C22 = D4×Dic6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).144C2^2192,1096
(C4×C12).145C22 = C42.102D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).145C2^2192,1097
(C4×C12).146C22 = D4⋊5Dic6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).146C2^2192,1098
(C4×C12).147C22 = C42.105D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).147C2^2192,1100
(C4×C12).148C22 = C42.106D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).148C2^2192,1101
(C4×C12).149C22 = D4⋊6Dic6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).149C2^2192,1102
(C4×C12).150C22 = C42.108D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).150C2^2192,1105
(C4×C12).151C22 = C42.228D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).151C2^2192,1107
(C4×C12).152C22 = D12⋊24D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).152C2^2192,1110
(C4×C12).153C22 = Dic6⋊23D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).153C2^2192,1111
(C4×C12).154C22 = Dic6⋊24D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).154C2^2192,1112
(C4×C12).155C22 = D4⋊6D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).155C2^2192,1114
(C4×C12).156C22 = C42.229D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).156C2^2192,1116
(C4×C12).157C22 = C42.113D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).157C2^2192,1117
(C4×C12).158C22 = C42.114D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).158C2^2192,1118
(C4×C12).159C22 = C42.115D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).159C2^2192,1120
(C4×C12).160C22 = C42.116D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).160C2^2192,1121
(C4×C12).161C22 = C42.117D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).161C2^2192,1122
(C4×C12).162C22 = C42.119D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).162C2^2192,1124
(C4×C12).163C22 = Q8×Dic6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).163C2^2192,1125
(C4×C12).164C22 = Dic6⋊10Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).164C2^2192,1126
(C4×C12).165C22 = Q8⋊6Dic6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).165C2^2192,1128
(C4×C12).166C22 = Q8⋊7Dic6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).166C2^2192,1129
(C4×C12).167C22 = C4×S3×Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).167C2^2192,1130
(C4×C12).168C22 = C42.125D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).168C2^2192,1131
(C4×C12).169C22 = C4×Q8⋊3S3φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).169C2^2192,1132
(C4×C12).170C22 = C42.126D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).170C2^2192,1133
(C4×C12).171C22 = Q8×D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).171C2^2192,1134
(C4×C12).172C22 = Q8⋊6D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).172C2^2192,1135
(C4×C12).173C22 = Q8⋊7D12φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).173C2^2192,1136
(C4×C12).174C22 = C42.232D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).174C2^2192,1137
(C4×C12).175C22 = D12⋊10Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).175C2^2192,1138
(C4×C12).176C22 = C42.131D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).176C2^2192,1139
(C4×C12).177C22 = C42.132D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).177C2^2192,1140
(C4×C12).178C22 = C42.133D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).178C2^2192,1141
(C4×C12).179C22 = C42.134D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).179C2^2192,1142
(C4×C12).180C22 = C42.135D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).180C2^2192,1143
(C4×C12).181C22 = C42.136D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).181C2^2192,1144
(C4×C12).182C22 = C42.233D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).182C2^2192,1227
(C4×C12).183C22 = C42.137D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).183C2^2192,1228
(C4×C12).184C22 = C42.139D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).184C2^2192,1230
(C4×C12).185C22 = C42.141D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).185C2^2192,1234
(C4×C12).186C22 = Dic6⋊10D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).186C2^2192,1236
(C4×C12).187C22 = C42.234D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).187C2^2192,1239
(C4×C12).188C22 = C42.143D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).188C2^2192,1240
(C4×C12).189C22 = C42.144D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).189C2^2192,1241
(C4×C12).190C22 = Dic6⋊7Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).190C2^2192,1244
(C4×C12).191C22 = S3×C42.C2φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).191C2^2192,1246
(C4×C12).192C22 = C42.236D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).192C2^2192,1247
(C4×C12).193C22 = C42.148D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).193C2^2192,1248
(C4×C12).194C22 = D12⋊7Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).194C2^2192,1249
(C4×C12).195C22 = C42.237D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).195C2^2192,1250
(C4×C12).196C22 = C42.150D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).196C2^2192,1251
(C4×C12).197C22 = C42.152D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).197C2^2192,1253
(C4×C12).198C22 = C42.153D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).198C2^2192,1254
(C4×C12).199C22 = C42.154D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).199C2^2192,1255
(C4×C12).200C22 = C42.155D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).200C2^2192,1256
(C4×C12).201C22 = C42.156D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).201C2^2192,1257
(C4×C12).202C22 = C42.166D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).202C2^2192,1272
(C4×C12).203C22 = C42.238D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).203C2^2192,1275
(C4×C12).204C22 = Dic6⋊11D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).204C2^2192,1277
(C4×C12).205C22 = C42.168D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).205C2^2192,1278
(C4×C12).206C22 = Dic6⋊8Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).206C2^2192,1280
(C4×C12).207C22 = Dic6⋊9Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).207C2^2192,1281
(C4×C12).208C22 = S3×C4⋊Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).208C2^2192,1282
(C4×C12).209C22 = C42.171D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).209C2^2192,1283
(C4×C12).210C22 = C42.240D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).210C2^2192,1284
(C4×C12).211C22 = D12⋊12D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).211C2^2192,1285
(C4×C12).212C22 = D12⋊8Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).212C2^2192,1286
(C4×C12).213C22 = C42.241D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).213C2^2192,1287
(C4×C12).214C22 = C42.174D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).214C2^2192,1288
(C4×C12).215C22 = D12⋊9Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).215C2^2192,1289
(C4×C12).216C22 = C42.176D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).216C2^2192,1290
(C4×C12).217C22 = C42.177D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).217C2^2192,1291
(C4×C12).218C22 = C42.178D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).218C2^2192,1292
(C4×C12).219C22 = C42.179D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).219C2^2192,1293
(C4×C12).220C22 = C42.118D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).220C2^2192,1123
(C4×C12).221C22 = C42.140D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).221C2^2192,1231
(C4×C12).222C22 = C42.145D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).222C2^2192,1243
(C4×C12).223C22 = C42.147D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).223C2^2192,1245
(C4×C12).224C22 = C42.157D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).224C2^2192,1258
(C4×C12).225C22 = C42.158D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).225C2^2192,1259
(C4×C12).226C22 = S3×C8⋊C4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).226C2^2192,263
(C4×C12).227C22 = C42.182D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).227C2^2192,264
(C4×C12).228C22 = Dic3⋊5M4(2)φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).228C2^2192,266
(C4×C12).229C22 = D6.4C42φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).229C2^2192,267
(C4×C12).230C22 = C42.185D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).230C2^2192,268
(C4×C12).231C22 = C12.5C42φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).231C2^2192,556
(C4×C12).232C22 = C42.188D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).232C2^2192,1081
(C4×C12).233C22 = C42.93D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).233C2^2192,1087
(C4×C12).234C22 = C42.189D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).234C2^2192,1265
(C4×C12).235C22 = C42.7D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).235C2^2192,99
(C4×C12).236C22 = C42.8D6φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).236C2^2192,102
(C4×C12).237C22 = C42.104D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).237C2^2192,1099
(C4×C12).238C22 = C42.122D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).238C2^2192,1127
(C4×C12).239C22 = C42.138D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).239C2^2192,1229
(C4×C12).240C22 = C42.151D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).240C2^2192,1252
(C4×C12).241C22 = C3×C42.C22φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).241C2^2192,135
(C4×C12).242C22 = C3×C42.2C22φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).242C2^2192,136
(C4×C12).243C22 = C3×C4.D8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).243C2^2192,137
(C4×C12).244C22 = C3×C4.10D8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).244C2^2192,138
(C4×C12).245C22 = C3×C4.6Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).245C2^2192,139
(C4×C12).246C22 = C3×C42.6C22φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).246C2^2192,857
(C4×C12).247C22 = C3×C42.7C22φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).247C2^2192,866
(C4×C12).248C22 = C3×C8⋊9D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).248C2^2192,868
(C4×C12).249C22 = C3×SD16⋊C4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).249C2^2192,873
(C4×C12).250C22 = C3×Q16⋊C4φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).250C2^2192,874
(C4×C12).251C22 = C3×D8⋊C4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).251C2^2192,875
(C4×C12).252C22 = C3×C8.26D4φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12).252C2^2192,877
(C4×C12).253C22 = C3×C8⋊4Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).253C2^2192,879
(C4×C12).254C22 = C3×D4.8D4φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12).254C2^2192,887
(C4×C12).255C22 = C3×D4.10D4φ: C22/C1 → C22 ⊆ Aut C4×C12484(C4xC12).255C2^2192,889
(C4×C12).256C22 = C3×C4⋊D8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).256C2^2192,892
(C4×C12).257C22 = C3×C4⋊SD16φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).257C2^2192,893
(C4×C12).258C22 = C3×D4.D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).258C2^2192,894
(C4×C12).259C22 = C3×C4⋊2Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).259C2^2192,895
(C4×C12).260C22 = C3×D4.2D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).260C2^2192,896
(C4×C12).261C22 = C3×Q8.D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).261C2^2192,897
(C4×C12).262C22 = C3×D4⋊Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).262C2^2192,907
(C4×C12).263C22 = C3×Q8⋊Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).263C2^2192,908
(C4×C12).264C22 = C3×D4⋊2Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).264C2^2192,909
(C4×C12).265C22 = C3×C4.Q16φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).265C2^2192,910
(C4×C12).266C22 = C3×D4.Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).266C2^2192,911
(C4×C12).267C22 = C3×Q8.Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).267C2^2192,912
(C4×C12).268C22 = C3×C42.28C22φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).268C2^2192,922
(C4×C12).269C22 = C3×C42.29C22φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).269C2^2192,923
(C4×C12).270C22 = C3×C42.30C22φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).270C2^2192,924
(C4×C12).271C22 = C3×C8⋊3D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).271C2^2192,929
(C4×C12).272C22 = C3×C8.2D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).272C2^2192,930
(C4×C12).273C22 = C3×C8⋊Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).273C2^2192,934
(C4×C12).274C22 = C42.180D6φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).274C2^2192,1294
(C4×C12).275C22 = C3×C23.32C23φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).275C2^2192,1408
(C4×C12).276C22 = C3×C23.33C23φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).276C2^2192,1409
(C4×C12).277C22 = C3×C23.38C23φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).277C2^2192,1425
(C4×C12).278C22 = C3×C22.33C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).278C2^2192,1428
(C4×C12).279C22 = C3×C22.34C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).279C2^2192,1429
(C4×C12).280C22 = C3×C22.35C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).280C2^2192,1430
(C4×C12).281C22 = C3×C22.36C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).281C2^2192,1431
(C4×C12).282C22 = C3×C23.41C23φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).282C2^2192,1433
(C4×C12).283C22 = C3×D4⋊6D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).283C2^2192,1436
(C4×C12).284C22 = C3×Q8⋊5D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).284C2^2192,1437
(C4×C12).285C22 = C3×D4×Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).285C2^2192,1438
(C4×C12).286C22 = C3×Q8⋊6D4φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).286C2^2192,1439
(C4×C12).287C22 = C3×C22.46C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).287C2^2192,1441
(C4×C12).288C22 = C3×C22.47C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).288C2^2192,1442
(C4×C12).289C22 = C3×D4⋊3Q8φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).289C2^2192,1443
(C4×C12).290C22 = C3×C22.49C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).290C2^2192,1444
(C4×C12).291C22 = C3×C22.50C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).291C2^2192,1445
(C4×C12).292C22 = C3×Q8⋊3Q8φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).292C2^2192,1446
(C4×C12).293C22 = C3×Q82φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).293C2^2192,1447
(C4×C12).294C22 = C3×C22.53C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).294C2^2192,1448
(C4×C12).295C22 = C3×C22.56C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).295C2^2192,1451
(C4×C12).296C22 = C3×C22.57C24φ: C22/C1 → C22 ⊆ Aut C4×C1296(C4xC12).296C2^2192,1452
(C4×C12).297C22 = C3×C22.58C24φ: C22/C1 → C22 ⊆ Aut C4×C12192(C4xC12).297C2^2192,1453
(C4×C12).298C22 = C6×C8⋊C4φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).298C2^2192,836
(C4×C12).299C22 = C12×M4(2)φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).299C2^2192,837
(C4×C12).300C22 = C3×C8○2M4(2)φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).300C2^2192,838
(C4×C12).301C22 = C3×C42.6C4φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).301C2^2192,865
(C4×C12).302C22 = C24⋊9Q8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).302C2^2192,239
(C4×C12).303C22 = C12.14Q16φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).303C2^2192,240
(C4×C12).304C22 = C24⋊8Q8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).304C2^2192,241
(C4×C12).305C22 = C24.13Q8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).305C2^2192,242
(C4×C12).306C22 = C8⋊5D12φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).306C2^2192,252
(C4×C12).307C22 = C4.5D24φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).307C2^2192,253
(C4×C12).308C22 = C12⋊4D8φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).308C2^2192,254
(C4×C12).309C22 = C8.8D12φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).309C2^2192,255
(C4×C12).310C22 = C42.264D6φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).310C2^2192,256
(C4×C12).311C22 = C12⋊4Q16φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).311C2^2192,258
(C4×C12).312C22 = C2×C12⋊2Q8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).312C2^2192,1027
(C4×C12).313C22 = C2×C12.6Q8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).313C2^2192,1028
(C4×C12).314C22 = C42.274D6φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).314C2^2192,1029
(C4×C12).315C22 = C42.276D6φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).315C2^2192,1036
(C4×C12).316C22 = C42.277D6φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).316C2^2192,1038
(C4×C12).317C22 = C4.8Dic12φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).317C2^2192,15
(C4×C12).318C22 = C24⋊2C8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).318C2^2192,16
(C4×C12).319C22 = C24⋊1C8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).319C2^2192,17
(C4×C12).320C22 = C4.17D24φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).320C2^2192,18
(C4×C12).321C22 = C8×Dic6φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).321C2^2192,237
(C4×C12).322C22 = C24⋊12Q8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).322C2^2192,238
(C4×C12).323C22 = C8×D12φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).323C2^2192,245
(C4×C12).324C22 = C8⋊6D12φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).324C2^2192,247
(C4×C12).325C22 = C4×C24⋊C2φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).325C2^2192,250
(C4×C12).326C22 = C4×D24φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).326C2^2192,251
(C4×C12).327C22 = C4×Dic12φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).327C2^2192,257
(C4×C12).328C22 = D24⋊11C4φ: C22/C2 → C2 ⊆ Aut C4×C12482(C4xC12).328C2^2192,259
(C4×C12).329C22 = C2×C12⋊C8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).329C2^2192,482
(C4×C12).330C22 = C12⋊7M4(2)φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).330C2^2192,483
(C4×C12).331C22 = C42.270D6φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).331C2^2192,485
(C4×C12).332C22 = C2×C4×Dic6φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).332C2^2192,1026
(C4×C12).333C22 = C4×C4○D12φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).333C2^2192,1033
(C4×C12).334C22 = C8×C3⋊C8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).334C2^2192,12
(C4×C12).335C22 = C42.279D6φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).335C2^2192,13
(C4×C12).336C22 = C24⋊C8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).336C2^2192,14
(C4×C12).337C22 = S3×C4×C8φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).337C2^2192,243
(C4×C12).338C22 = C42.282D6φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).338C2^2192,244
(C4×C12).339C22 = C4×C8⋊S3φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).339C2^2192,246
(C4×C12).340C22 = D6.C42φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).340C2^2192,248
(C4×C12).341C22 = C42.243D6φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).341C2^2192,249
(C4×C12).342C22 = C2×C4×C3⋊C8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).342C2^2192,479
(C4×C12).343C22 = C2×C42.S3φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).343C2^2192,480
(C4×C12).344C22 = C4×C4.Dic3φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).344C2^2192,481
(C4×C12).345C22 = C42.285D6φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).345C2^2192,484
(C4×C12).346C22 = C3×D4⋊C8φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).346C2^2192,131
(C4×C12).347C22 = C3×Q8⋊C8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).347C2^2192,132
(C4×C12).348C22 = C3×C8⋊2C8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).348C2^2192,140
(C4×C12).349C22 = C3×C8⋊1C8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).349C2^2192,141
(C4×C12).350C22 = C6×C4⋊C8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).350C2^2192,855
(C4×C12).351C22 = C3×C4⋊M4(2)φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).351C2^2192,856
(C4×C12).352C22 = C3×C42.12C4φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).352C2^2192,864
(C4×C12).353C22 = D4×C24φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).353C2^2192,867
(C4×C12).354C22 = C3×C8⋊6D4φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).354C2^2192,869
(C4×C12).355C22 = C12×D8φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).355C2^2192,870
(C4×C12).356C22 = C12×SD16φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).356C2^2192,871
(C4×C12).357C22 = C12×Q16φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).357C2^2192,872
(C4×C12).358C22 = C3×C8○D8φ: C22/C2 → C2 ⊆ Aut C4×C12482(C4xC12).358C2^2192,876
(C4×C12).359C22 = Q8×C24φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).359C2^2192,878
(C4×C12).360C22 = C3×C4.4D8φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).360C2^2192,919
(C4×C12).361C22 = C3×C4.SD16φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).361C2^2192,920
(C4×C12).362C22 = C3×C42.78C22φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).362C2^2192,921
(C4×C12).363C22 = C3×C8⋊5D4φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).363C2^2192,925
(C4×C12).364C22 = C3×C8⋊4D4φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).364C2^2192,926
(C4×C12).365C22 = C3×C4⋊Q16φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).365C2^2192,927
(C4×C12).366C22 = C3×C8.12D4φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).366C2^2192,928
(C4×C12).367C22 = C3×C8⋊3Q8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).367C2^2192,931
(C4×C12).368C22 = C3×C8.5Q8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).368C2^2192,932
(C4×C12).369C22 = C3×C8⋊2Q8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).369C2^2192,933
(C4×C12).370C22 = Q8×C2×C12φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).370C2^2192,1405
(C4×C12).371C22 = C12×C4○D4φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).371C2^2192,1406
(C4×C12).372C22 = C6×C42.C2φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).372C2^2192,1416
(C4×C12).373C22 = C3×C23.36C23φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).373C2^2192,1418
(C4×C12).374C22 = C6×C4⋊Q8φ: C22/C2 → C2 ⊆ Aut C4×C12192(C4xC12).374C2^2192,1420
(C4×C12).375C22 = C3×C22.26C24φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).375C2^2192,1421
(C4×C12).376C22 = C3×C23.37C23φ: C22/C2 → C2 ⊆ Aut C4×C1296(C4xC12).376C2^2192,1422
(C4×C12).377C22 = C3×C8⋊C8central extension (φ=1)192(C4xC12).377C2^2192,128

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