Extensions 1→N→G→Q→1 with N=C22xS3 and Q=D4

Direct product G=NxQ with N=C22xS3 and Q=D4
dρLabelID
C22xS3xD448C2^2xS3xD4192,1514

Semidirect products G=N:Q with N=C22xS3 and Q=D4
extensionφ:Q→Out NdρLabelID
(C22xS3):1D4 = C23:D12φ: D4/C1D4 ⊆ Out C22xS3248+(C2^2xS3):1D4192,300
(C22xS3):2D4 = C24:6D6φ: D4/C1D4 ⊆ Out C22xS3244(C2^2xS3):2D4192,591
(C22xS3):3D4 = (C2xC12):5D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3):3D4192,230
(C22xS3):4D4 = C23:3D12φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3):4D4192,519
(C22xS3):5D4 = C24.32D6φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3):5D4192,782
(C22xS3):6D4 = C24:7D6φ: D4/C2C22 ⊆ Out C22xS348(C2^2xS3):6D4192,1148
(C22xS3):7D4 = C6.372+ 1+4φ: D4/C2C22 ⊆ Out C22xS348(C2^2xS3):7D4192,1164
(C22xS3):8D4 = C6.1202+ 1+4φ: D4/C2C22 ⊆ Out C22xS348(C2^2xS3):8D4192,1212
(C22xS3):9D4 = C2xDic3:D4φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3):9D4192,1048
(C22xS3):10D4 = C2xC12:D4φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3):10D4192,1065
(C22xS3):11D4 = S3xC4:D4φ: D4/C4C2 ⊆ Out C22xS348(C2^2xS3):11D4192,1163
(C22xS3):12D4 = C2xD6:3D4φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3):12D4192,1359
(C22xS3):13D4 = C2xD6:D4φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3):13D4192,1046
(C22xS3):14D4 = S3xC22wrC2φ: D4/C22C2 ⊆ Out C22xS324(C2^2xS3):14D4192,1147
(C22xS3):15D4 = C2xC23:2D6φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3):15D4192,1358

Non-split extensions G=N.Q with N=C22xS3 and Q=D4
extensionφ:Q→Out NdρLabelID
(C22xS3).1D4 = C23.5D12φ: D4/C1D4 ⊆ Out C22xS3488-(C2^2xS3).1D4192,301
(C22xS3).2D4 = Q8:5D12φ: D4/C1D4 ⊆ Out C22xS3244+(C2^2xS3).2D4192,381
(C22xS3).3D4 = C42:5D6φ: D4/C1D4 ⊆ Out C22xS3484(C2^2xS3).3D4192,384
(C22xS3).4D4 = C22:C4:D6φ: D4/C1D4 ⊆ Out C22xS3484(C2^2xS3).4D4192,612
(C22xS3).5D4 = D12:18D4φ: D4/C1D4 ⊆ Out C22xS3248+(C2^2xS3).5D4192,757
(C22xS3).6D4 = D12.39D4φ: D4/C1D4 ⊆ Out C22xS3488+(C2^2xS3).6D4192,761
(C22xS3).7D4 = C6.C22wrC2φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).7D4192,231
(C22xS3).8D4 = (C2xC4).21D12φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).8D4192,233
(C22xS3).9D4 = C6.(C4:D4)φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).9D4192,234
(C22xS3).10D4 = S3xC23:C4φ: D4/C2C22 ⊆ Out C22xS3248+(C2^2xS3).10D4192,302
(C22xS3).11D4 = D6:C8:11C2φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).11D4192,338
(C22xS3).12D4 = C3:C8:1D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).12D4192,339
(C22xS3).13D4 = D4:3D12φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).13D4192,340
(C22xS3).14D4 = C3:C8:D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).14D4192,341
(C22xS3).15D4 = D4.D12φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).15D4192,342
(C22xS3).16D4 = C24:1C4:C2φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).16D4192,343
(C22xS3).17D4 = Q8.11D12φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).17D4192,367
(C22xS3).18D4 = Q8:4D12φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).18D4192,369
(C22xS3).19D4 = C3:(C8:D4)φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).19D4192,371
(C22xS3).20D4 = D6:C8.C2φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).20D4192,373
(C22xS3).21D4 = C8:Dic3:C2φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).21D4192,374
(C22xS3).22D4 = C3:C8.D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).22D4192,375
(C22xS3).23D4 = C42:3D6φ: D4/C2C22 ⊆ Out C22xS3484(C2^2xS3).23D4192,380
(C22xS3).24D4 = C24:7D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).24D4192,424
(C22xS3).25D4 = C4.Q8:S3φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).25D4192,425
(C22xS3).26D4 = C8.2D12φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).26D4192,426
(C22xS3).27D4 = C6.(C4oD8)φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).27D4192,427
(C22xS3).28D4 = C2.D8:S3φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).28D4192,444
(C22xS3).29D4 = C8:3D12φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).29D4192,445
(C22xS3).30D4 = C2.D8:7S3φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).30D4192,447
(C22xS3).31D4 = C24.25D6φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).31D4192,518
(C22xS3).32D4 = C24.27D6φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).32D4192,520
(C22xS3).33D4 = (C2xC4):3D12φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).33D4192,550
(C22xS3).34D4 = (C2xC12).289D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).34D4192,551
(C22xS3).35D4 = Dic6:D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).35D4192,717
(C22xS3).36D4 = C24:12D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).36D4192,718
(C22xS3).37D4 = D12:7D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).37D4192,731
(C22xS3).38D4 = Dic6.16D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).38D4192,732
(C22xS3).39D4 = C24:8D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).39D4192,733
(C22xS3).40D4 = D12.17D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).40D4192,746
(C22xS3).41D4 = C24.36D4φ: D4/C2C22 ⊆ Out C22xS396(C2^2xS3).41D4192,748
(C22xS3).42D4 = SD16:D6φ: D4/C2C22 ⊆ Out C22xS3484(C2^2xS3).42D4192,1327
(C22xS3).43D4 = D8:4D6φ: D4/C2C22 ⊆ Out C22xS3488-(C2^2xS3).43D4192,1332
(C22xS3).44D4 = D24:C22φ: D4/C2C22 ⊆ Out C22xS3488+(C2^2xS3).44D4192,1336
(C22xS3).45D4 = D6:(C4:C4)φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).45D4192,226
(C22xS3).46D4 = D4:2S3:C4φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).46D4192,331
(C22xS3).47D4 = D6:D8φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).47D4192,334
(C22xS3).48D4 = D6:SD16φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).48D4192,337
(C22xS3).49D4 = C4:C4.150D6φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).49D4192,363
(C22xS3).50D4 = D6:2SD16φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).50D4192,366
(C22xS3).51D4 = D6:1Q16φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).51D4192,372
(C22xS3).52D4 = (S3xC8):C4φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).52D4192,419
(C22xS3).53D4 = C8:8D12φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).53D4192,423
(C22xS3).54D4 = C8.27(C4xS3)φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).54D4192,439
(C22xS3).55D4 = D6:2D8φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).55D4192,442
(C22xS3).56D4 = D6:2Q16φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).56D4192,446
(C22xS3).57D4 = C4:(D6:C4)φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).57D4192,546
(C22xS3).58D4 = D6:3D8φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).58D4192,716
(C22xS3).59D4 = C24:14D4φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).59D4192,730
(C22xS3).60D4 = D6:3Q16φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).60D4192,747
(C22xS3).61D4 = C2xD8:3S3φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).61D4192,1315
(C22xS3).62D4 = C2xQ8.7D6φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).62D4192,1320
(C22xS3).63D4 = C2xD24:C2φ: D4/C4C2 ⊆ Out C22xS396(C2^2xS3).63D4192,1324
(C22xS3).64D4 = S3xC4oD8φ: D4/C4C2 ⊆ Out C22xS3484(C2^2xS3).64D4192,1326
(C22xS3).65D4 = C22.58(S3xD4)φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).65D4192,223
(C22xS3).66D4 = (C2xC4):9D12φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).66D4192,224
(C22xS3).67D4 = D6:C4:C4φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).67D4192,227
(C22xS3).68D4 = C4:C4:19D6φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3).68D4192,329
(C22xS3).69D4 = D4:(C4xS3)φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).69D4192,330
(C22xS3).70D4 = D4:D12φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3).70D4192,332
(C22xS3).71D4 = D6.D8φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).71D4192,333
(C22xS3).72D4 = D6:5SD16φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3).72D4192,335
(C22xS3).73D4 = D6.SD16φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).73D4192,336
(C22xS3).74D4 = (S3xQ8):C4φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).74D4192,361
(C22xS3).75D4 = Q8:7(C4xS3)φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).75D4192,362
(C22xS3).76D4 = D6.1SD16φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).76D4192,364
(C22xS3).77D4 = Q8:3D12φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).77D4192,365
(C22xS3).78D4 = D6:Q16φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).78D4192,368
(C22xS3).79D4 = D6.Q16φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).79D4192,370
(C22xS3).80D4 = S3xC4wrC2φ: D4/C22C2 ⊆ Out C22xS3244(C2^2xS3).80D4192,379
(C22xS3).81D4 = C8:(C4xS3)φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).81D4192,420
(C22xS3).82D4 = D6.2SD16φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).82D4192,421
(C22xS3).83D4 = D6.4SD16φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).83D4192,422
(C22xS3).84D4 = C8:S3:C4φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).84D4192,440
(C22xS3).85D4 = D6.5D8φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).85D4192,441
(C22xS3).86D4 = D6.2Q16φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).86D4192,443
(C22xS3).87D4 = C24.59D6φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3).87D4192,514
(C22xS3).88D4 = C24.23D6φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).88D4192,515
(C22xS3).89D4 = D6:C4:6C4φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).89D4192,548
(C22xS3).90D4 = D12:D4φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3).90D4192,715
(C22xS3).91D4 = D6:6SD16φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3).91D4192,728
(C22xS3).92D4 = D6:8SD16φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).92D4192,729
(C22xS3).93D4 = D6:5Q16φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).93D4192,745
(C22xS3).94D4 = C2xC23.9D6φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).94D4192,1047
(C22xS3).95D4 = C2xD6.D4φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).95D4192,1064
(C22xS3).96D4 = S3xC22.D4φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3).96D4192,1211
(C22xS3).97D4 = C2xD8:S3φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3).97D4192,1314
(C22xS3).98D4 = C2xQ8:3D6φ: D4/C22C2 ⊆ Out C22xS348(C2^2xS3).98D4192,1318
(C22xS3).99D4 = C2xD4.D6φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).99D4192,1319
(C22xS3).100D4 = C2xQ16:S3φ: D4/C22C2 ⊆ Out C22xS396(C2^2xS3).100D4192,1323
(C22xS3).101D4 = S3xC8:C22φ: D4/C22C2 ⊆ Out C22xS3248+(C2^2xS3).101D4192,1331
(C22xS3).102D4 = S3xC8.C22φ: D4/C22C2 ⊆ Out C22xS3488-(C2^2xS3).102D4192,1335
(C22xS3).103D4 = S3xC2.C42φ: trivial image96(C2^2xS3).103D4192,222
(C22xS3).104D4 = S3xD4:C4φ: trivial image48(C2^2xS3).104D4192,328
(C22xS3).105D4 = S3xQ8:C4φ: trivial image96(C2^2xS3).105D4192,360
(C22xS3).106D4 = S3xC4.Q8φ: trivial image96(C2^2xS3).106D4192,418
(C22xS3).107D4 = S3xC2.D8φ: trivial image96(C2^2xS3).107D4192,438
(C22xS3).108D4 = C2xS3xC22:C4φ: trivial image48(C2^2xS3).108D4192,1043
(C22xS3).109D4 = C2xS3xC4:C4φ: trivial image96(C2^2xS3).109D4192,1060
(C22xS3).110D4 = C2xS3xD8φ: trivial image48(C2^2xS3).110D4192,1313
(C22xS3).111D4 = C2xS3xSD16φ: trivial image48(C2^2xS3).111D4192,1317
(C22xS3).112D4 = C2xS3xQ16φ: trivial image96(C2^2xS3).112D4192,1322

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