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Extensions 1→N→G→Q→1 with N=C22×S3 and Q=D4

Direct product G=N×Q with N=C22×S3 and Q=D4
dρLabelID
C22×S3×D448C2^2xS3xD4192,1514

Semidirect products G=N:Q with N=C22×S3 and Q=D4
extensionφ:Q→Out NdρLabelID
(C22×S3)⋊1D4 = C23⋊D12φ: D4/C1 → D4 ⊆ Out C22×S3248+(C2^2xS3):1D4192,300
(C22×S3)⋊2D4 = C24⋊6D6φ: D4/C1 → D4 ⊆ Out C22×S3244(C2^2xS3):2D4192,591
(C22×S3)⋊3D4 = (C2×C12)⋊5D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3):3D4192,230
(C22×S3)⋊4D4 = C23⋊3D12φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3):4D4192,519
(C22×S3)⋊5D4 = C24.32D6φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3):5D4192,782
(C22×S3)⋊6D4 = C24⋊7D6φ: D4/C2 → C22 ⊆ Out C22×S348(C2^2xS3):6D4192,1148
(C22×S3)⋊7D4 = C6.372+ 1+4φ: D4/C2 → C22 ⊆ Out C22×S348(C2^2xS3):7D4192,1164
(C22×S3)⋊8D4 = C6.1202+ 1+4φ: D4/C2 → C22 ⊆ Out C22×S348(C2^2xS3):8D4192,1212
(C22×S3)⋊9D4 = C2×Dic3⋊D4φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3):9D4192,1048
(C22×S3)⋊10D4 = C2×C12⋊D4φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3):10D4192,1065
(C22×S3)⋊11D4 = S3×C4⋊D4φ: D4/C4 → C2 ⊆ Out C22×S348(C2^2xS3):11D4192,1163
(C22×S3)⋊12D4 = C2×D6⋊3D4φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3):12D4192,1359
(C22×S3)⋊13D4 = C2×D6⋊D4φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3):13D4192,1046
(C22×S3)⋊14D4 = S3×C22≀C2φ: D4/C22 → C2 ⊆ Out C22×S324(C2^2xS3):14D4192,1147
(C22×S3)⋊15D4 = C2×C23⋊2D6φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3):15D4192,1358

Non-split extensions G=N.Q with N=C22×S3 and Q=D4
extensionφ:Q→Out NdρLabelID
(C22×S3).1D4 = C23.5D12φ: D4/C1 → D4 ⊆ Out C22×S3488-(C2^2xS3).1D4192,301
(C22×S3).2D4 = Q8⋊5D12φ: D4/C1 → D4 ⊆ Out C22×S3244+(C2^2xS3).2D4192,381
(C22×S3).3D4 = C42⋊5D6φ: D4/C1 → D4 ⊆ Out C22×S3484(C2^2xS3).3D4192,384
(C22×S3).4D4 = C22⋊C4⋊D6φ: D4/C1 → D4 ⊆ Out C22×S3484(C2^2xS3).4D4192,612
(C22×S3).5D4 = D12⋊18D4φ: D4/C1 → D4 ⊆ Out C22×S3248+(C2^2xS3).5D4192,757
(C22×S3).6D4 = D12.39D4φ: D4/C1 → D4 ⊆ Out C22×S3488+(C2^2xS3).6D4192,761
(C22×S3).7D4 = C6.C22≀C2φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).7D4192,231
(C22×S3).8D4 = (C2×C4).21D12φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).8D4192,233
(C22×S3).9D4 = C6.(C4⋊D4)φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).9D4192,234
(C22×S3).10D4 = S3×C23⋊C4φ: D4/C2 → C22 ⊆ Out C22×S3248+(C2^2xS3).10D4192,302
(C22×S3).11D4 = D6⋊C8⋊11C2φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).11D4192,338
(C22×S3).12D4 = C3⋊C8⋊1D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).12D4192,339
(C22×S3).13D4 = D4⋊3D12φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).13D4192,340
(C22×S3).14D4 = C3⋊C8⋊D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).14D4192,341
(C22×S3).15D4 = D4.D12φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).15D4192,342
(C22×S3).16D4 = C24⋊1C4⋊C2φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).16D4192,343
(C22×S3).17D4 = Q8.11D12φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).17D4192,367
(C22×S3).18D4 = Q8⋊4D12φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).18D4192,369
(C22×S3).19D4 = C3⋊(C8⋊D4)φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).19D4192,371
(C22×S3).20D4 = D6⋊C8.C2φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).20D4192,373
(C22×S3).21D4 = C8⋊Dic3⋊C2φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).21D4192,374
(C22×S3).22D4 = C3⋊C8.D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).22D4192,375
(C22×S3).23D4 = C42⋊3D6φ: D4/C2 → C22 ⊆ Out C22×S3484(C2^2xS3).23D4192,380
(C22×S3).24D4 = C24⋊7D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).24D4192,424
(C22×S3).25D4 = C4.Q8⋊S3φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).25D4192,425
(C22×S3).26D4 = C8.2D12φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).26D4192,426
(C22×S3).27D4 = C6.(C4○D8)φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).27D4192,427
(C22×S3).28D4 = C2.D8⋊S3φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).28D4192,444
(C22×S3).29D4 = C8⋊3D12φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).29D4192,445
(C22×S3).30D4 = C2.D8⋊7S3φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).30D4192,447
(C22×S3).31D4 = C24.25D6φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).31D4192,518
(C22×S3).32D4 = C24.27D6φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).32D4192,520
(C22×S3).33D4 = (C2×C4)⋊3D12φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).33D4192,550
(C22×S3).34D4 = (C2×C12).289D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).34D4192,551
(C22×S3).35D4 = Dic6⋊D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).35D4192,717
(C22×S3).36D4 = C24⋊12D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).36D4192,718
(C22×S3).37D4 = D12⋊7D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).37D4192,731
(C22×S3).38D4 = Dic6.16D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).38D4192,732
(C22×S3).39D4 = C24⋊8D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).39D4192,733
(C22×S3).40D4 = D12.17D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).40D4192,746
(C22×S3).41D4 = C24.36D4φ: D4/C2 → C22 ⊆ Out C22×S396(C2^2xS3).41D4192,748
(C22×S3).42D4 = SD16⋊D6φ: D4/C2 → C22 ⊆ Out C22×S3484(C2^2xS3).42D4192,1327
(C22×S3).43D4 = D8⋊4D6φ: D4/C2 → C22 ⊆ Out C22×S3488-(C2^2xS3).43D4192,1332
(C22×S3).44D4 = D24⋊C22φ: D4/C2 → C22 ⊆ Out C22×S3488+(C2^2xS3).44D4192,1336
(C22×S3).45D4 = D6⋊(C4⋊C4)φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).45D4192,226
(C22×S3).46D4 = D4⋊2S3⋊C4φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).46D4192,331
(C22×S3).47D4 = D6⋊D8φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).47D4192,334
(C22×S3).48D4 = D6⋊SD16φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).48D4192,337
(C22×S3).49D4 = C4⋊C4.150D6φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).49D4192,363
(C22×S3).50D4 = D6⋊2SD16φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).50D4192,366
(C22×S3).51D4 = D6⋊1Q16φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).51D4192,372
(C22×S3).52D4 = (S3×C8)⋊C4φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).52D4192,419
(C22×S3).53D4 = C8⋊8D12φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).53D4192,423
(C22×S3).54D4 = C8.27(C4×S3)φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).54D4192,439
(C22×S3).55D4 = D6⋊2D8φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).55D4192,442
(C22×S3).56D4 = D6⋊2Q16φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).56D4192,446
(C22×S3).57D4 = C4⋊(D6⋊C4)φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).57D4192,546
(C22×S3).58D4 = D6⋊3D8φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).58D4192,716
(C22×S3).59D4 = C24⋊14D4φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).59D4192,730
(C22×S3).60D4 = D6⋊3Q16φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).60D4192,747
(C22×S3).61D4 = C2×D8⋊3S3φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).61D4192,1315
(C22×S3).62D4 = C2×Q8.7D6φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).62D4192,1320
(C22×S3).63D4 = C2×D24⋊C2φ: D4/C4 → C2 ⊆ Out C22×S396(C2^2xS3).63D4192,1324
(C22×S3).64D4 = S3×C4○D8φ: D4/C4 → C2 ⊆ Out C22×S3484(C2^2xS3).64D4192,1326
(C22×S3).65D4 = C22.58(S3×D4)φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).65D4192,223
(C22×S3).66D4 = (C2×C4)⋊9D12φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).66D4192,224
(C22×S3).67D4 = D6⋊C4⋊C4φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).67D4192,227
(C22×S3).68D4 = C4⋊C4⋊19D6φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).68D4192,329
(C22×S3).69D4 = D4⋊(C4×S3)φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).69D4192,330
(C22×S3).70D4 = D4⋊D12φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).70D4192,332
(C22×S3).71D4 = D6.D8φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).71D4192,333
(C22×S3).72D4 = D6⋊5SD16φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).72D4192,335
(C22×S3).73D4 = D6.SD16φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).73D4192,336
(C22×S3).74D4 = (S3×Q8)⋊C4φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).74D4192,361
(C22×S3).75D4 = Q8⋊7(C4×S3)φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).75D4192,362
(C22×S3).76D4 = D6.1SD16φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).76D4192,364
(C22×S3).77D4 = Q8⋊3D12φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).77D4192,365
(C22×S3).78D4 = D6⋊Q16φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).78D4192,368
(C22×S3).79D4 = D6.Q16φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).79D4192,370
(C22×S3).80D4 = S3×C4≀C2φ: D4/C22 → C2 ⊆ Out C22×S3244(C2^2xS3).80D4192,379
(C22×S3).81D4 = C8⋊(C4×S3)φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).81D4192,420
(C22×S3).82D4 = D6.2SD16φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).82D4192,421
(C22×S3).83D4 = D6.4SD16φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).83D4192,422
(C22×S3).84D4 = C8⋊S3⋊C4φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).84D4192,440
(C22×S3).85D4 = D6.5D8φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).85D4192,441
(C22×S3).86D4 = D6.2Q16φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).86D4192,443
(C22×S3).87D4 = C24.59D6φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).87D4192,514
(C22×S3).88D4 = C24.23D6φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).88D4192,515
(C22×S3).89D4 = D6⋊C4⋊6C4φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).89D4192,548
(C22×S3).90D4 = D12⋊D4φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).90D4192,715
(C22×S3).91D4 = D6⋊6SD16φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).91D4192,728
(C22×S3).92D4 = D6⋊8SD16φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).92D4192,729
(C22×S3).93D4 = D6⋊5Q16φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).93D4192,745
(C22×S3).94D4 = C2×C23.9D6φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).94D4192,1047
(C22×S3).95D4 = C2×D6.D4φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).95D4192,1064
(C22×S3).96D4 = S3×C22.D4φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).96D4192,1211
(C22×S3).97D4 = C2×D8⋊S3φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).97D4192,1314
(C22×S3).98D4 = C2×Q8⋊3D6φ: D4/C22 → C2 ⊆ Out C22×S348(C2^2xS3).98D4192,1318
(C22×S3).99D4 = C2×D4.D6φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).99D4192,1319
(C22×S3).100D4 = C2×Q16⋊S3φ: D4/C22 → C2 ⊆ Out C22×S396(C2^2xS3).100D4192,1323
(C22×S3).101D4 = S3×C8⋊C22φ: D4/C22 → C2 ⊆ Out C22×S3248+(C2^2xS3).101D4192,1331
(C22×S3).102D4 = S3×C8.C22φ: D4/C22 → C2 ⊆ Out C22×S3488-(C2^2xS3).102D4192,1335
(C22×S3).103D4 = S3×C2.C42φ: trivial image96(C2^2xS3).103D4192,222
(C22×S3).104D4 = S3×D4⋊C4φ: trivial image48(C2^2xS3).104D4192,328
(C22×S3).105D4 = S3×Q8⋊C4φ: trivial image96(C2^2xS3).105D4192,360
(C22×S3).106D4 = S3×C4.Q8φ: trivial image96(C2^2xS3).106D4192,418
(C22×S3).107D4 = S3×C2.D8φ: trivial image96(C2^2xS3).107D4192,438
(C22×S3).108D4 = C2×S3×C22⋊C4φ: trivial image48(C2^2xS3).108D4192,1043
(C22×S3).109D4 = C2×S3×C4⋊C4φ: trivial image96(C2^2xS3).109D4192,1060
(C22×S3).110D4 = C2×S3×D8φ: trivial image48(C2^2xS3).110D4192,1313
(C22×S3).111D4 = C2×S3×SD16φ: trivial image48(C2^2xS3).111D4192,1317
(C22×S3).112D4 = C2×S3×Q16φ: trivial image96(C2^2xS3).112D4192,1322

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