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Extensions 1→N→G→Q→1 with N=C2×D4 and Q=D6

Direct product G=N×Q with N=C2×D4 and Q=D6
dρLabelID
C22×S3×D448C2^2xS3xD4192,1514

Semidirect products G=N:Q with N=C2×D4 and Q=D6
extensionφ:Q→Out NdρLabelID
(C2×D4)⋊1D6 = D12⋊16D4φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):1D6192,595
(C2×D4)⋊2D6 = C42⋊8D6φ: D6/C3 → C22 ⊆ Out C2×D4244(C2xD4):2D6192,636
(C2×D4)⋊3D6 = D12⋊D4φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):3D6192,715
(C2×D4)⋊4D6 = D12⋊18D4φ: D6/C3 → C22 ⊆ Out C2×D4248+(C2xD4):4D6192,757
(C2×D4)⋊5D6 = C24⋊7D6φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):5D6192,1148
(C2×D4)⋊6D6 = C24.45D6φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):6D6192,1151
(C2×D4)⋊7D6 = C6.382+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):7D6192,1166
(C2×D4)⋊8D6 = D12⋊20D4φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):8D6192,1171
(C2×D4)⋊9D6 = C6.422+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):9D6192,1172
(C2×D4)⋊10D6 = C6.462+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):10D6192,1176
(C2×D4)⋊11D6 = C6.482+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):11D6192,1179
(C2×D4)⋊12D6 = C42⋊28D6φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):12D6192,1274
(C2×D4)⋊13D6 = C42⋊30D6φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4):13D6192,1279
(C2×D4)⋊14D6 = D8⋊13D6φ: D6/C3 → C22 ⊆ Out C2×D4484(C2xD4):14D6192,1316
(C2×D4)⋊15D6 = D8⋊5D6φ: D6/C3 → C22 ⊆ Out C2×D4488+(C2xD4):15D6192,1333
(C2×D4)⋊16D6 = D12.32C23φ: D6/C3 → C22 ⊆ Out C2×D4488+(C2xD4):16D6192,1394
(C2×D4)⋊17D6 = S3×C22≀C2φ: D6/S3 → C2 ⊆ Out C2×D424(C2xD4):17D6192,1147
(C2×D4)⋊18D6 = C24⋊8D6φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):18D6192,1149
(C2×D4)⋊19D6 = C24.44D6φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):19D6192,1150
(C2×D4)⋊20D6 = S3×C4⋊D4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):20D6192,1163
(C2×D4)⋊21D6 = C6.372+ 1+4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):21D6192,1164
(C2×D4)⋊22D6 = C4⋊C4⋊21D6φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):22D6192,1165
(C2×D4)⋊23D6 = D12⋊19D4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):23D6192,1168
(C2×D4)⋊24D6 = C6.402+ 1+4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):24D6192,1169
(C2×D4)⋊25D6 = S3×C4⋊1D4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):25D6192,1273
(C2×D4)⋊26D6 = D12⋊11D4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):26D6192,1276
(C2×D4)⋊27D6 = C2×S3×D8φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):27D6192,1313
(C2×D4)⋊28D6 = C2×D8⋊S3φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4):28D6192,1314
(C2×D4)⋊29D6 = S3×C8⋊C22φ: D6/S3 → C2 ⊆ Out C2×D4248+(C2xD4):29D6192,1331
(C2×D4)⋊30D6 = D8⋊4D6φ: D6/S3 → C2 ⊆ Out C2×D4488-(C2xD4):30D6192,1332
(C2×D4)⋊31D6 = S3×2+ 1+4φ: D6/S3 → C2 ⊆ Out C2×D4248+(C2xD4):31D6192,1524
(C2×D4)⋊32D6 = D6.C24φ: D6/S3 → C2 ⊆ Out C2×D4488-(C2xD4):32D6192,1525
(C2×D4)⋊33D6 = C22×D4⋊S3φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4):33D6192,1351
(C2×D4)⋊34D6 = C2×D12⋊6C22φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4):34D6192,1352
(C2×D4)⋊35D6 = C2×C23⋊2D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4):35D6192,1358
(C2×D4)⋊36D6 = C2×D6⋊3D4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4):36D6192,1359
(C2×D4)⋊37D6 = D4×C3⋊D4φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4):37D6192,1360
(C2×D4)⋊38D6 = C2×C23.14D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4):38D6192,1361
(C2×D4)⋊39D6 = C2×C12⋊3D4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4):39D6192,1362
(C2×D4)⋊40D6 = C24⋊12D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4):40D6192,1363
(C2×D4)⋊41D6 = C2×D4⋊D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4):41D6192,1379
(C2×D4)⋊42D6 = C12.C24φ: D6/C6 → C2 ⊆ Out C2×D4484(C2xD4):42D6192,1381
(C2×D4)⋊43D6 = (C2×D4)⋊43D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4):43D6192,1387
(C2×D4)⋊44D6 = C6.1452+ 1+4φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4):44D6192,1388
(C2×D4)⋊45D6 = C6.1462+ 1+4φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4):45D6192,1389
(C2×D4)⋊46D6 = C2×D4⋊6D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4):46D6192,1516
(C2×D4)⋊47D6 = C6.C25φ: D6/C6 → C2 ⊆ Out C2×D4484(C2xD4):47D6192,1523
(C2×D4)⋊48D6 = C22×D4⋊2S3φ: trivial image96(C2xD4):48D6192,1515
(C2×D4)⋊49D6 = C2×S3×C4○D4φ: trivial image48(C2xD4):49D6192,1520
(C2×D4)⋊50D6 = C2×D4○D12φ: trivial image48(C2xD4):50D6192,1521

Non-split extensions G=N.Q with N=C2×D4 and Q=D6
extensionφ:Q→Out NdρLabelID
(C2×D4).1D6 = C3⋊C2≀C4φ: D6/C3 → C22 ⊆ Out C2×D4248+(C2xD4).1D6192,30
(C2×D4).2D6 = (C2×D4).D6φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).2D6192,31
(C2×D4).3D6 = C23.D12φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).3D6192,32
(C2×D4).4D6 = C23.2D12φ: D6/C3 → C22 ⊆ Out C2×D4248+(C2xD4).4D6192,33
(C2×D4).5D6 = C23.3D12φ: D6/C3 → C22 ⊆ Out C2×D4248+(C2xD4).5D6192,34
(C2×D4).6D6 = C23.4D12φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).6D6192,35
(C2×D4).7D6 = C24⋊5Dic3φ: D6/C3 → C22 ⊆ Out C2×D4244(C2xD4).7D6192,95
(C2×D4).8D6 = (C22×C12)⋊C4φ: D6/C3 → C22 ⊆ Out C2×D4484(C2xD4).8D6192,98
(C2×D4).9D6 = C42⋊4Dic3φ: D6/C3 → C22 ⊆ Out C2×D4484(C2xD4).9D6192,100
(C2×D4).10D6 = C42⋊5Dic3φ: D6/C3 → C22 ⊆ Out C2×D4244(C2xD4).10D6192,104
(C2×D4).11D6 = C23⋊D12φ: D6/C3 → C22 ⊆ Out C2×D4248+(C2xD4).11D6192,300
(C2×D4).12D6 = C23.5D12φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).12D6192,301
(C2×D4).13D6 = M4(2)⋊D6φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).13D6192,305
(C2×D4).14D6 = D12⋊1D4φ: D6/C3 → C22 ⊆ Out C2×D4248+(C2xD4).14D6192,306
(C2×D4).15D6 = D12.2D4φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).15D6192,307
(C2×D4).16D6 = D12.3D4φ: D6/C3 → C22 ⊆ Out C2×D4488+(C2xD4).16D6192,308
(C2×D4).17D6 = Dic3.SD16φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).17D6192,319
(C2×D4).18D6 = Dic6⋊2D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).18D6192,321
(C2×D4).19D6 = C4⋊C4.D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).19D6192,323
(C2×D4).20D6 = C12⋊Q8⋊C2φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).20D6192,324
(C2×D4).21D6 = Dic6.D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).21D6192,326
(C2×D4).22D6 = (C2×C8).200D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).22D6192,327
(C2×D4).23D6 = D6.D8φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).23D6192,333
(C2×D4).24D6 = D6⋊D8φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).24D6192,334
(C2×D4).25D6 = D6.SD16φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).25D6192,336
(C2×D4).26D6 = D6⋊SD16φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).26D6192,337
(C2×D4).27D6 = D6⋊C8⋊11C2φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).27D6192,338
(C2×D4).28D6 = C3⋊C8⋊1D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).28D6192,339
(C2×D4).29D6 = C3⋊C8⋊D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).29D6192,341
(C2×D4).30D6 = C24⋊1C4⋊C2φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).30D6192,343
(C2×D4).31D6 = D12⋊3D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).31D6192,345
(C2×D4).32D6 = D12.D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).32D6192,346
(C2×D4).33D6 = C24⋊6D6φ: D6/C3 → C22 ⊆ Out C2×D4244(C2xD4).33D6192,591
(C2×D4).34D6 = (C2×C6).D8φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).34D6192,592
(C2×D4).35D6 = C4⋊D4.S3φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).35D6192,593
(C2×D4).36D6 = C6.Q16⋊C2φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).36D6192,594
(C2×D4).37D6 = D12⋊17D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).37D6192,596
(C2×D4).38D6 = C3⋊C8⋊22D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).38D6192,597
(C2×D4).39D6 = C4⋊D4⋊S3φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).39D6192,598
(C2×D4).40D6 = Dic6⋊17D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).40D6192,599
(C2×D4).41D6 = C3⋊C8⋊23D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).41D6192,600
(C2×D4).42D6 = C3⋊C8⋊5D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).42D6192,601
(C2×D4).43D6 = C22⋊C4⋊D6φ: D6/C3 → C22 ⊆ Out C2×D4484(C2xD4).43D6192,612
(C2×D4).44D6 = C42.61D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).44D6192,613
(C2×D4).45D6 = C42.62D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).45D6192,614
(C2×D4).46D6 = C42.213D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).46D6192,615
(C2×D4).47D6 = D12.23D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).47D6192,616
(C2×D4).48D6 = C42.64D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).48D6192,617
(C2×D4).49D6 = C42.214D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).49D6192,618
(C2×D4).50D6 = C42.65D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).50D6192,619
(C2×D4).51D6 = C42⋊7D6φ: D6/C3 → C22 ⊆ Out C2×D4484(C2xD4).51D6192,620
(C2×D4).52D6 = D12.14D4φ: D6/C3 → C22 ⊆ Out C2×D4484(C2xD4).52D6192,621
(C2×D4).53D6 = C12.16D8φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).53D6192,629
(C2×D4).54D6 = C42.72D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).54D6192,630
(C2×D4).55D6 = C12⋊2D8φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).55D6192,631
(C2×D4).56D6 = C12⋊D8φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).56D6192,632
(C2×D4).57D6 = C42.74D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).57D6192,633
(C2×D4).58D6 = Dic6⋊9D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).58D6192,634
(C2×D4).59D6 = C12⋊4SD16φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).59D6192,635
(C2×D4).60D6 = C24⋊5D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).60D6192,710
(C2×D4).61D6 = (C6×D8).C2φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).61D6192,712
(C2×D4).62D6 = C24⋊11D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).62D6192,713
(C2×D4).63D6 = C24.22D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).63D6192,714
(C2×D4).64D6 = D6⋊3D8φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).64D6192,716
(C2×D4).65D6 = Dic6⋊D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).65D6192,717
(C2×D4).66D6 = C24⋊12D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).66D6192,718
(C2×D4).67D6 = C24.23D4φ: D6/C3 → C22 ⊆ Out C2×D4484(C2xD4).67D6192,719
(C2×D4).68D6 = Dic3⋊5SD16φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).68D6192,722
(C2×D4).69D6 = (C3×Q8).D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).69D6192,725
(C2×D4).70D6 = C24.31D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).70D6192,726
(C2×D4).71D6 = C24.43D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).71D6192,727
(C2×D4).72D6 = D6⋊8SD16φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).72D6192,729
(C2×D4).73D6 = C24⋊14D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).73D6192,730
(C2×D4).74D6 = D12⋊7D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).74D6192,731
(C2×D4).75D6 = C24⋊8D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).75D6192,733
(C2×D4).76D6 = C24⋊15D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).76D6192,734
(C2×D4).77D6 = C24⋊9D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).77D6192,735
(C2×D4).78D6 = C24.44D4φ: D6/C3 → C22 ⊆ Out C2×D4484(C2xD4).78D6192,736
(C2×D4).79D6 = M4(2).D6φ: D6/C3 → C22 ⊆ Out C2×D4488+(C2xD4).79D6192,758
(C2×D4).80D6 = M4(2).13D6φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).80D6192,759
(C2×D4).81D6 = D12.38D4φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).81D6192,760
(C2×D4).82D6 = 2+ 1+4⋊6S3φ: D6/C3 → C22 ⊆ Out C2×D4248+(C2xD4).82D6192,800
(C2×D4).83D6 = 2+ 1+4.4S3φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).83D6192,801
(C2×D4).84D6 = 2+ 1+4.5S3φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).84D6192,802
(C2×D4).85D6 = 2+ 1+4⋊7S3φ: D6/C3 → C22 ⊆ Out C2×D4248+(C2xD4).85D6192,803
(C2×D4).86D6 = C24.46D6φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4).86D6192,1152
(C2×D4).87D6 = C24⋊9D6φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4).87D6192,1153
(C2×D4).88D6 = C24.47D6φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4).88D6192,1154
(C2×D4).89D6 = C6.322+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).89D6192,1156
(C2×D4).90D6 = Dic6⋊20D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).90D6192,1158
(C2×D4).91D6 = C6.712- 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).91D6192,1162
(C2×D4).92D6 = C6.722- 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).92D6192,1167
(C2×D4).93D6 = C6.442+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).93D6192,1174
(C2×D4).94D6 = C6.452+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).94D6192,1175
(C2×D4).95D6 = C6.472+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).95D6192,1178
(C2×D4).96D6 = C6.492+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).96D6192,1180
(C2×D4).97D6 = C6.812- 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).97D6192,1210
(C2×D4).98D6 = C6.612+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4).98D6192,1216
(C2×D4).99D6 = C6.622+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4).99D6192,1218
(C2×D4).100D6 = C6.632+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).100D6192,1219
(C2×D4).101D6 = C6.642+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).101D6192,1220
(C2×D4).102D6 = C6.652+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).102D6192,1221
(C2×D4).103D6 = C6.662+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).103D6192,1222
(C2×D4).104D6 = C6.672+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).104D6192,1223
(C2×D4).105D6 = C6.682+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4).105D6192,1225
(C2×D4).106D6 = C6.692+ 1+4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).106D6192,1226
(C2×D4).107D6 = C42.137D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).107D6192,1228
(C2×D4).108D6 = C42.138D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).108D6192,1229
(C2×D4).109D6 = C42.140D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).109D6192,1231
(C2×D4).110D6 = C42⋊22D6φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4).110D6192,1237
(C2×D4).111D6 = C42⋊23D6φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4).111D6192,1238
(C2×D4).112D6 = C42⋊24D6φ: D6/C3 → C22 ⊆ Out C2×D448(C2xD4).112D6192,1242
(C2×D4).113D6 = C42.145D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).113D6192,1243
(C2×D4).114D6 = C42.166D6φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).114D6192,1272
(C2×D4).115D6 = Dic6⋊11D4φ: D6/C3 → C22 ⊆ Out C2×D496(C2xD4).115D6192,1277
(C2×D4).116D6 = SD16⋊13D6φ: D6/C3 → C22 ⊆ Out C2×D4484(C2xD4).116D6192,1321
(C2×D4).117D6 = D8⋊6D6φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).117D6192,1334
(C2×D4).118D6 = D12.33C23φ: D6/C3 → C22 ⊆ Out C2×D4488-(C2xD4).118D6192,1395
(C2×D4).119D6 = C23⋊C4⋊5S3φ: D6/S3 → C2 ⊆ Out C2×D4488-(C2xD4).119D6192,299
(C2×D4).120D6 = S3×C23⋊C4φ: D6/S3 → C2 ⊆ Out C2×D4248+(C2xD4).120D6192,302
(C2×D4).121D6 = S3×C4.D4φ: D6/S3 → C2 ⊆ Out C2×D4248+(C2xD4).121D6192,303
(C2×D4).122D6 = M4(2).19D6φ: D6/S3 → C2 ⊆ Out C2×D4488-(C2xD4).122D6192,304
(C2×D4).123D6 = Dic3⋊4D8φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).123D6192,315
(C2×D4).124D6 = D4.S3⋊C4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).124D6192,316
(C2×D4).125D6 = Dic3⋊6SD16φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).125D6192,317
(C2×D4).126D6 = Dic3.D8φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).126D6192,318
(C2×D4).127D6 = D4⋊Dic6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).127D6192,320
(C2×D4).128D6 = D4.Dic6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).128D6192,322
(C2×D4).129D6 = D4.2Dic6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).129D6192,325
(C2×D4).130D6 = S3×D4⋊C4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).130D6192,328
(C2×D4).131D6 = C4⋊C4⋊19D6φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).131D6192,329
(C2×D4).132D6 = D4⋊(C4×S3)φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).132D6192,330
(C2×D4).133D6 = D4⋊2S3⋊C4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).133D6192,331
(C2×D4).134D6 = D4⋊D12φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).134D6192,332
(C2×D4).135D6 = D6⋊5SD16φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).135D6192,335
(C2×D4).136D6 = D4⋊3D12φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).136D6192,340
(C2×D4).137D6 = D4.D12φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).137D6192,342
(C2×D4).138D6 = D4⋊S3⋊C4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).138D6192,344
(C2×D4).139D6 = Dic3×D8φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).139D6192,708
(C2×D4).140D6 = Dic3⋊D8φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).140D6192,709
(C2×D4).141D6 = D8⋊Dic3φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).141D6192,711
(C2×D4).142D6 = Dic3×SD16φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).142D6192,720
(C2×D4).143D6 = Dic3⋊3SD16φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).143D6192,721
(C2×D4).144D6 = SD16⋊Dic3φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).144D6192,723
(C2×D4).145D6 = (C3×D4).D4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).145D6192,724
(C2×D4).146D6 = D6⋊6SD16φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).146D6192,728
(C2×D4).147D6 = Dic6.16D4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).147D6192,732
(C2×D4).148D6 = C24.67D6φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).148D6192,1145
(C2×D4).149D6 = C24.43D6φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).149D6192,1146
(C2×D4).150D6 = C12⋊(C4○D4)φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).150D6192,1155
(C2×D4).151D6 = Dic6⋊19D4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).151D6192,1157
(C2×D4).152D6 = C4⋊C4.178D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).152D6192,1159
(C2×D4).153D6 = C6.342+ 1+4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).153D6192,1160
(C2×D4).154D6 = C6.702- 1+4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).154D6192,1161
(C2×D4).155D6 = C6.732- 1+4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).155D6192,1170
(C2×D4).156D6 = C6.432+ 1+4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).156D6192,1173
(C2×D4).157D6 = C6.1152+ 1+4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).157D6192,1177
(C2×D4).158D6 = C6.792- 1+4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).158D6192,1207
(C2×D4).159D6 = C4⋊C4.197D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).159D6192,1208
(C2×D4).160D6 = C6.802- 1+4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).160D6192,1209
(C2×D4).161D6 = S3×C22.D4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).161D6192,1211
(C2×D4).162D6 = C6.1202+ 1+4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).162D6192,1212
(C2×D4).163D6 = C6.1212+ 1+4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).163D6192,1213
(C2×D4).164D6 = C6.822- 1+4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).164D6192,1214
(C2×D4).165D6 = C4⋊C4⋊28D6φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).165D6192,1215
(C2×D4).166D6 = C6.1222+ 1+4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).166D6192,1217
(C2×D4).167D6 = C6.852- 1+4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).167D6192,1224
(C2×D4).168D6 = C42.233D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).168D6192,1227
(C2×D4).169D6 = C42.139D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).169D6192,1230
(C2×D4).170D6 = S3×C4.4D4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).170D6192,1232
(C2×D4).171D6 = C42⋊20D6φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).171D6192,1233
(C2×D4).172D6 = C42.141D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).172D6192,1234
(C2×D4).173D6 = D12⋊10D4φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).173D6192,1235
(C2×D4).174D6 = Dic6⋊10D4φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).174D6192,1236
(C2×D4).175D6 = C42.234D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).175D6192,1239
(C2×D4).176D6 = C42.143D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).176D6192,1240
(C2×D4).177D6 = C42.144D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).177D6192,1241
(C2×D4).178D6 = C42.238D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).178D6192,1275
(C2×D4).179D6 = C42.168D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).179D6192,1278
(C2×D4).180D6 = C2×D8⋊3S3φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).180D6192,1315
(C2×D4).181D6 = C2×S3×SD16φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).181D6192,1317
(C2×D4).182D6 = C2×Q8⋊3D6φ: D6/S3 → C2 ⊆ Out C2×D448(C2xD4).182D6192,1318
(C2×D4).183D6 = C2×D4.D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).183D6192,1319
(C2×D4).184D6 = C2×Q8.7D6φ: D6/S3 → C2 ⊆ Out C2×D496(C2xD4).184D6192,1320
(C2×D4).185D6 = C12.50D8φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).185D6192,566
(C2×D4).186D6 = C12.38SD16φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).186D6192,567
(C2×D4).187D6 = D4.3Dic6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).187D6192,568
(C2×D4).188D6 = C4×D4⋊S3φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).188D6192,572
(C2×D4).189D6 = C42.48D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).189D6192,573
(C2×D4).190D6 = C12⋊7D8φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).190D6192,574
(C2×D4).191D6 = D4.1D12φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).191D6192,575
(C2×D4).192D6 = C4×D4.S3φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).192D6192,576
(C2×D4).193D6 = C42.51D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).193D6192,577
(C2×D4).194D6 = D4.2D12φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).194D6192,578
(C2×D4).195D6 = C2×D4⋊Dic3φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).195D6192,773
(C2×D4).196D6 = (C6×D4)⋊6C4φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).196D6192,774
(C2×D4).197D6 = C2×C12.D4φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).197D6192,775
(C2×D4).198D6 = (C2×C6)⋊8D8φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).198D6192,776
(C2×D4).199D6 = (C3×D4).31D4φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).199D6192,777
(C2×D4).200D6 = C2×C23.7D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).200D6192,778
(C2×D4).201D6 = C4○D4⋊3Dic3φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).201D6192,791
(C2×D4).202D6 = C4○D4⋊4Dic3φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).202D6192,792
(C2×D4).203D6 = (C6×D4).16C4φ: D6/C6 → C2 ⊆ Out C2×D4484(C2xD4).203D6192,796
(C2×D4).204D6 = (C3×D4)⋊14D4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).204D6192,797
(C2×D4).205D6 = (C3×D4).32D4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).205D6192,798
(C2×D4).206D6 = (C6×D4)⋊10C4φ: D6/C6 → C2 ⊆ Out C2×D4484(C2xD4).206D6192,799
(C2×D4).207D6 = C42.102D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).207D6192,1097
(C2×D4).208D6 = C42.104D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).208D6192,1099
(C2×D4).209D6 = C42.105D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).209D6192,1100
(C2×D4).210D6 = C42.106D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).210D6192,1101
(C2×D4).211D6 = C42⋊14D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).211D6192,1106
(C2×D4).212D6 = C42.228D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).212D6192,1107
(C2×D4).213D6 = D12⋊23D4φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).213D6192,1109
(C2×D4).214D6 = D12⋊24D4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).214D6192,1110
(C2×D4).215D6 = Dic6⋊23D4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).215D6192,1111
(C2×D4).216D6 = Dic6⋊24D4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).216D6192,1112
(C2×D4).217D6 = C42⋊18D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).217D6192,1115
(C2×D4).218D6 = C42.229D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).218D6192,1116
(C2×D4).219D6 = C42.113D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).219D6192,1117
(C2×D4).220D6 = C42.114D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).220D6192,1118
(C2×D4).221D6 = C42⋊19D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).221D6192,1119
(C2×D4).222D6 = C42.115D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).222D6192,1120
(C2×D4).223D6 = C42.116D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).223D6192,1121
(C2×D4).224D6 = C42.117D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).224D6192,1122
(C2×D4).225D6 = C42.118D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).225D6192,1123
(C2×D4).226D6 = C42.119D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).226D6192,1124
(C2×D4).227D6 = C22×D4.S3φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).227D6192,1353
(C2×D4).228D6 = C2×C23.23D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).228D6192,1355
(C2×D4).229D6 = C2×C23.12D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).229D6192,1356
(C2×D4).230D6 = C24.52D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).230D6192,1364
(C2×D4).231D6 = C24.53D6φ: D6/C6 → C2 ⊆ Out C2×D448(C2xD4).231D6192,1365
(C2×D4).232D6 = C2×Q8.13D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).232D6192,1380
(C2×D4).233D6 = C2×Q8.14D6φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).233D6192,1382
(C2×D4).234D6 = C6.1042- 1+4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).234D6192,1383
(C2×D4).235D6 = C6.1052- 1+4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).235D6192,1384
(C2×D4).236D6 = C6.1072- 1+4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).236D6192,1390
(C2×D4).237D6 = (C2×C12)⋊17D4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).237D6192,1391
(C2×D4).238D6 = C6.1082- 1+4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).238D6192,1392
(C2×D4).239D6 = C6.1482+ 1+4φ: D6/C6 → C2 ⊆ Out C2×D496(C2xD4).239D6192,1393
(C2×D4).240D6 = C4×D4⋊2S3φ: trivial image96(C2xD4).240D6192,1095
(C2×D4).241D6 = D4×Dic6φ: trivial image96(C2xD4).241D6192,1096
(C2×D4).242D6 = D4⋊5Dic6φ: trivial image96(C2xD4).242D6192,1098
(C2×D4).243D6 = D4⋊6Dic6φ: trivial image96(C2xD4).243D6192,1102
(C2×D4).244D6 = C4×S3×D4φ: trivial image48(C2xD4).244D6192,1103
(C2×D4).245D6 = C42⋊13D6φ: trivial image48(C2xD4).245D6192,1104
(C2×D4).246D6 = C42.108D6φ: trivial image96(C2xD4).246D6192,1105
(C2×D4).247D6 = D4×D12φ: trivial image48(C2xD4).247D6192,1108
(C2×D4).248D6 = D4⋊5D12φ: trivial image48(C2xD4).248D6192,1113
(C2×D4).249D6 = D4⋊6D12φ: trivial image96(C2xD4).249D6192,1114
(C2×D4).250D6 = C2×D4×Dic3φ: trivial image96(C2xD4).250D6192,1354
(C2×D4).251D6 = C24.49D6φ: trivial image48(C2xD4).251D6192,1357
(C2×D4).252D6 = Dic3×C4○D4φ: trivial image96(C2xD4).252D6192,1385
(C2×D4).253D6 = C6.1442+ 1+4φ: trivial image96(C2xD4).253D6192,1386
(C2×D4).254D6 = C2×Q8○D12φ: trivial image96(C2xD4).254D6192,1522

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