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

Direct product G=N×Q with N=C2×D4 and Q=D4
dρLabelID
C2×D4232C2xD4^2128,2194

Semidirect products G=N:Q with N=C2×D4 and Q=D4
extensionφ:Q→Out NdρLabelID
(C2×D4)⋊1D4 = C23⋊D8φ: D4/C1 → D4 ⊆ Out C2×D416(C2xD4):1D4128,327
(C2×D4)⋊2D4 = C24.9D4φ: D4/C1 → D4 ⊆ Out C2×D416(C2xD4):2D4128,332
(C2×D4)⋊3D4 = D4≀C2φ: D4/C1 → D4 ⊆ Out C2×D484+(C2xD4):3D4128,928
(C2×D4)⋊4D4 = C42⋊6D4φ: D4/C1 → D4 ⊆ Out C2×D4168+(C2xD4):4D4128,932
(C2×D4)⋊5D4 = C23⋊2D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4):5D4128,731
(C2×D4)⋊6D4 = C42⋊9D4φ: D4/C2 → C22 ⊆ Out C2×D416(C2xD4):6D4128,734
(C2×D4)⋊7D4 = M4(2)⋊D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4):7D4128,738
(C2×D4)⋊8D4 = M4(2)⋊5D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4):8D4128,740
(C2×D4)⋊9D4 = C42⋊2D4φ: D4/C2 → C22 ⊆ Out C2×D4164(C2xD4):9D4128,742
(C2×D4)⋊10D4 = (C2×C4)⋊2D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4):10D4128,743
(C2×D4)⋊11D4 = C23.568C24φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4):11D4128,1400
(C2×D4)⋊12D4 = C23.569C24φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4):12D4128,1401
(C2×D4)⋊13D4 = C23.571C24φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4):13D4128,1403
(C2×D4)⋊14D4 = C23.573C24φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4):14D4128,1405
(C2×D4)⋊15D4 = C23.578C24φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4):15D4128,1410
(C2×D4)⋊16D4 = C25⋊C22φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4):16D4128,1411
(C2×D4)⋊17D4 = C24.389C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4):17D4128,1414
(C2×D4)⋊18D4 = C24.395C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4):18D4128,1420
(C2×D4)⋊19D4 = C24.406C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4):19D4128,1431
(C2×D4)⋊20D4 = C4○D4⋊D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4):20D4128,1740
(C2×D4)⋊21D4 = (C2×D4)⋊21D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4):21D4128,1744
(C2×D4)⋊22D4 = C42.313C23φ: D4/C2 → C22 ⊆ Out C2×D4164(C2xD4):22D4128,1750
(C2×D4)⋊23D4 = C42.12C23φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4):23D4128,1753
(C2×D4)⋊24D4 = C2×C2≀C22φ: D4/C2 → C22 ⊆ Out C2×D416(C2xD4):24D4128,1755
(C2×D4)⋊25D4 = C23.7C24φ: D4/C2 → C22 ⊆ Out C2×D4164(C2xD4):25D4128,1757
(C2×D4)⋊26D4 = C24⋊C23φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4):26D4128,1758
(C2×D4)⋊27D4 = C23.9C24φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4):27D4128,1759
(C2×D4)⋊28D4 = C42.14C23φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4):28D4128,1773
(C2×D4)⋊29D4 = C23.308C24φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4):29D4128,1140
(C2×D4)⋊30D4 = C23.316C24φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4):30D4128,1148
(C2×D4)⋊31D4 = C23.324C24φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4):31D4128,1156
(C2×D4)⋊32D4 = C23.328C24φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4):32D4128,1160
(C2×D4)⋊33D4 = C42⋊17D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4):33D4128,1267
(C2×D4)⋊34D4 = C42⋊18D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4):34D4128,1269
(C2×D4)⋊35D4 = C42⋊20D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4):35D4128,1273
(C2×D4)⋊36D4 = C23.443C24φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4):36D4128,1275
(C2×D4)⋊37D4 = C2×C4⋊D8φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4):37D4128,1761
(C2×D4)⋊38D4 = C42.211D4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4):38D4128,1768
(C2×D4)⋊39D4 = C4⋊2+ 1+4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4):39D4128,2228
(C2×D4)⋊40D4 = C24⋊7D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4):40D4128,1135
(C2×D4)⋊41D4 = C23.304C24φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4):41D4128,1136
(C2×D4)⋊42D4 = C24.244C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4):42D4128,1139
(C2×D4)⋊43D4 = C24⋊8D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4):43D4128,1142
(C2×D4)⋊44D4 = C24.262C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4):44D4128,1162
(C2×D4)⋊45D4 = C24.263C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4):45D4128,1163
(C2×D4)⋊46D4 = C23.333C24φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4):46D4128,1165
(C2×D4)⋊47D4 = C2×C22⋊D8φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4):47D4128,1728
(C2×D4)⋊48D4 = C2×D4⋊D4φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4):48D4128,1732
(C2×D4)⋊49D4 = C24.177D4φ: D4/C22 → C2 ⊆ Out C2×D416(C2xD4):49D4128,1735
(C2×D4)⋊50D4 = C24.104D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4):50D4128,1737
(C2×D4)⋊51D4 = C2×D4⋊4D4φ: D4/C22 → C2 ⊆ Out C2×D416(C2xD4):51D4128,1746
(C2×D4)⋊52D4 = M4(2)⋊C23φ: D4/C22 → C2 ⊆ Out C2×D4168+(C2xD4):52D4128,1751
(C2×D4)⋊53D4 = C22.73C25φ: D4/C22 → C2 ⊆ Out C2×D416(C2xD4):53D4128,2216
(C2×D4)⋊54D4 = C22.74C25φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4):54D4128,2217
(C2×D4)⋊55D4 = C2×D4⋊5D4φ: trivial image32(C2xD4):55D4128,2195
(C2×D4)⋊56D4 = C2×D4⋊6D4φ: trivial image64(C2xD4):56D4128,2196

Non-split extensions G=N.Q with N=C2×D4 and Q=D4
extensionφ:Q→Out NdρLabelID
(C2×D4).1D4 = C42.D4φ: D4/C1 → D4 ⊆ Out C2×D4164+(C2xD4).1D4128,134
(C2×D4).2D4 = C42.3D4φ: D4/C1 → D4 ⊆ Out C2×D4164(C2xD4).2D4128,136
(C2×D4).3D4 = C8⋊C4⋊C4φ: D4/C1 → D4 ⊆ Out C2×D4168+(C2xD4).3D4128,138
(C2×D4).4D4 = (C2×D4).D4φ: D4/C1 → D4 ⊆ Out C2×D4328-(C2xD4).4D4128,139
(C2×D4).5D4 = C4⋊1D4⋊C4φ: D4/C1 → D4 ⊆ Out C2×D4164+(C2xD4).5D4128,140
(C2×D4).6D4 = (C4×C8)⋊6C4φ: D4/C1 → D4 ⊆ Out C2×D4164(C2xD4).6D4128,141
(C2×D4).7D4 = C8⋊C4⋊5C4φ: D4/C1 → D4 ⊆ Out C2×D4168+(C2xD4).7D4128,144
(C2×D4).8D4 = (C4×C8)⋊C4φ: D4/C1 → D4 ⊆ Out C2×D4324(C2xD4).8D4128,146
(C2×D4).9D4 = C4⋊C4.D4φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).9D4128,329
(C2×D4).10D4 = (C2×C4)⋊D8φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).10D4128,330
(C2×D4).11D4 = C23⋊2SD16φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).11D4128,333
(C2×D4).12D4 = C4⋊C4.6D4φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).12D4128,335
(C2×D4).13D4 = Q8⋊D4⋊C2φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).13D4128,336
(C2×D4).14D4 = C24.12D4φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).14D4128,338
(C2×D4).15D4 = C23.5D8φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).15D4128,339
(C2×D4).16D4 = C4⋊C4.12D4φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).16D4128,341
(C2×D4).17D4 = (C2×C4).5D8φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).17D4128,342
(C2×D4).18D4 = C24.15D4φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).18D4128,344
(C2×D4).19D4 = C24.16D4φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).19D4128,345
(C2×D4).20D4 = C4⋊C4.18D4φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).20D4128,347
(C2×D4).21D4 = C4⋊C4.19D4φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).21D4128,348
(C2×D4).22D4 = C24.18D4φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).22D4128,350
(C2×D4).23D4 = C42.181C23φ: D4/C1 → D4 ⊆ Out C2×D464(C2xD4).23D4128,352
(C2×D4).24D4 = C42.191C23φ: D4/C1 → D4 ⊆ Out C2×D464(C2xD4).24D4128,362
(C2×D4).25D4 = C42.201C23φ: D4/C1 → D4 ⊆ Out C2×D464(C2xD4).25D4128,372
(C2×D4).26D4 = Q8⋊3SD16φ: D4/C1 → D4 ⊆ Out C2×D464(C2xD4).26D4128,374
(C2×D4).27D4 = C42.C23φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).27D4128,387
(C2×D4).28D4 = C42.2C23φ: D4/C1 → D4 ⊆ Out C2×D464(C2xD4).28D4128,388
(C2×D4).29D4 = C42.3C23φ: D4/C1 → D4 ⊆ Out C2×D464(C2xD4).29D4128,389
(C2×D4).30D4 = C42.5C23φ: D4/C1 → D4 ⊆ Out C2×D432(C2xD4).30D4128,391
(C2×D4).31D4 = C42.6C23φ: D4/C1 → D4 ⊆ Out C2×D464(C2xD4).31D4128,392
(C2×D4).32D4 = C42.7C23φ: D4/C1 → D4 ⊆ Out C2×D464(C2xD4).32D4128,393
(C2×D4).33D4 = C42.8C23φ: D4/C1 → D4 ⊆ Out C2×D464(C2xD4).33D4128,394
(C2×D4).34D4 = C42.10C23φ: D4/C1 → D4 ⊆ Out C2×D464(C2xD4).34D4128,396
(C2×D4).35D4 = C42.13D4φ: D4/C1 → D4 ⊆ Out C2×D4164(C2xD4).35D4128,930
(C2×D4).36D4 = C42.15D4φ: D4/C1 → D4 ⊆ Out C2×D4168+(C2xD4).36D4128,934
(C2×D4).37D4 = C42.16D4φ: D4/C1 → D4 ⊆ Out C2×D4328-(C2xD4).37D4128,935
(C2×D4).38D4 = C42.17D4φ: D4/C1 → D4 ⊆ Out C2×D4164(C2xD4).38D4128,936
(C2×D4).39D4 = C24.5D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).39D4128,122
(C2×D4).40D4 = C23.2C42φ: D4/C2 → C22 ⊆ Out C2×D4324(C2xD4).40D4128,123
(C2×D4).41D4 = C24.6D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).41D4128,125
(C2×D4).42D4 = (C22×C8)⋊C4φ: D4/C2 → C22 ⊆ Out C2×D4324(C2xD4).42D4128,127
(C2×D4).43D4 = Q8⋊D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).43D4128,353
(C2×D4).44D4 = C42.185C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).44D4128,356
(C2×D4).45D4 = D4⋊3D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).45D4128,357
(C2×D4).46D4 = C42.189C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).46D4128,360
(C2×D4).47D4 = Q8⋊2SD16φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).47D4128,363
(C2×D4).48D4 = C42.195C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).48D4128,366
(C2×D4).49D4 = D4.SD16φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).49D4128,367
(C2×D4).50D4 = C42.199C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).50D4128,370
(C2×D4).51D4 = Q8.D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).51D4128,373
(C2×D4).52D4 = C42.207C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).52D4128,378
(C2×D4).53D4 = D4.7D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).53D4128,379
(C2×D4).54D4 = C42.211C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).54D4128,382
(C2×D4).55D4 = C42.213C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).55D4128,384
(C2×D4).56D4 = D4⋊4SD16φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).56D4128,386
(C2×D4).57D4 = C8⋊D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).57D4128,417
(C2×D4).58D4 = C8⋊2D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).58D4128,419
(C2×D4).59D4 = C8.D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).59D4128,421
(C2×D4).60D4 = C8⋊3SD16φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).60D4128,423
(C2×D4).61D4 = C8⋊4SD16φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).61D4128,425
(C2×D4).62D4 = C8.8SD16φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).62D4128,427
(C2×D4).63D4 = C42.248C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).63D4128,429
(C2×D4).64D4 = C42.250C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).64D4128,431
(C2×D4).65D4 = C42.252C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).65D4128,433
(C2×D4).66D4 = C42.254C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).66D4128,435
(C2×D4).67D4 = 2+ 1+4⋊2C4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).67D4128,522
(C2×D4).68D4 = 2+ 1+4.2C4φ: D4/C2 → C22 ⊆ Out C2×D4324(C2xD4).68D4128,523
(C2×D4).69D4 = 2+ 1+4⋊4C4φ: D4/C2 → C22 ⊆ Out C2×D4324(C2xD4).69D4128,526
(C2×D4).70D4 = C4○D4.D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).70D4128,527
(C2×D4).71D4 = M4(2).44D4φ: D4/C2 → C22 ⊆ Out C2×D4324(C2xD4).71D4128,613
(C2×D4).72D4 = M4(2)⋊19D4φ: D4/C2 → C22 ⊆ Out C2×D4164(C2xD4).72D4128,616
(C2×D4).73D4 = C24.23D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).73D4128,617
(C2×D4).74D4 = C24.24D4φ: D4/C2 → C22 ⊆ Out C2×D416(C2xD4).74D4128,619
(C2×D4).75D4 = C25.C22φ: D4/C2 → C22 ⊆ Out C2×D416(C2xD4).75D4128,621
(C2×D4).76D4 = C24.26D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).76D4128,622
(C2×D4).77D4 = (C2×C8)⋊D4φ: D4/C2 → C22 ⊆ Out C2×D4164(C2xD4).77D4128,623
(C2×D4).78D4 = C42.5D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).78D4128,636
(C2×D4).79D4 = C4.(C4×D4)φ: D4/C2 → C22 ⊆ Out C2×D4328-(C2xD4).79D4128,641
(C2×D4).80D4 = (C2×C8)⋊4D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).80D4128,642
(C2×D4).81D4 = C42⋊D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).81D4128,643
(C2×D4).82D4 = C24.28D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).82D4128,645
(C2×D4).83D4 = M4(2)⋊21D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).83D4128,646
(C2×D4).84D4 = M4(2).50D4φ: D4/C2 → C22 ⊆ Out C2×D4328-(C2xD4).84D4128,647
(C2×D4).85D4 = C23⋊3SD16φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).85D4128,732
(C2×D4).86D4 = C42.129D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).86D4128,735
(C2×D4).87D4 = C42⋊10D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).87D4128,736
(C2×D4).88D4 = C42.130D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).88D4128,737
(C2×D4).89D4 = M4(2)⋊4D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).89D4128,739
(C2×D4).90D4 = M4(2).D4φ: D4/C2 → C22 ⊆ Out C2×D4328-(C2xD4).90D4128,741
(C2×D4).91D4 = (C22×D8).C2φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).91D4128,744
(C2×D4).92D4 = (C2×C4)⋊3SD16φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).92D4128,745
(C2×D4).93D4 = (C2×C8)⋊20D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).93D4128,746
(C2×D4).94D4 = (C2×C8).41D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).94D4128,747
(C2×D4).95D4 = (C2×C8).2D4φ: D4/C2 → C22 ⊆ Out C2×D4324(C2xD4).95D4128,749
(C2×D4).96D4 = M4(2).4D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).96D4128,750
(C2×D4).97D4 = M4(2).5D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).97D4128,751
(C2×D4).98D4 = M4(2).6D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).98D4128,752
(C2×D4).99D4 = C24.83D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).99D4128,765
(C2×D4).100D4 = C24.84D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).100D4128,766
(C2×D4).101D4 = M4(2)⋊6D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).101D4128,769
(C2×D4).102D4 = M4(2).7D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).102D4128,770
(C2×D4).103D4 = C42⋊11D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).103D4128,771
(C2×D4).104D4 = C42⋊12D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).104D4128,772
(C2×D4).105D4 = C4⋊C4⋊7D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).105D4128,773
(C2×D4).106D4 = C4⋊C4.94D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).106D4128,774
(C2×D4).107D4 = C4⋊C4.96D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).107D4128,777
(C2×D4).108D4 = C4⋊C4.97D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).108D4128,778
(C2×D4).109D4 = M4(2).8D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).109D4128,780
(C2×D4).110D4 = M4(2).9D4φ: D4/C2 → C22 ⊆ Out C2×D4328-(C2xD4).110D4128,781
(C2×D4).111D4 = C42.131D4φ: D4/C2 → C22 ⊆ Out C2×D4164(C2xD4).111D4128,782
(C2×D4).112D4 = M4(2).10D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).112D4128,783
(C2×D4).113D4 = M4(2).11D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).113D4128,784
(C2×D4).114D4 = C22⋊C4.7D4φ: D4/C2 → C22 ⊆ Out C2×D4324(C2xD4).114D4128,785
(C2×D4).115D4 = (C2×C4)⋊3D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).115D4128,786
(C2×D4).116D4 = (C2×C4)⋊5SD16φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).116D4128,787
(C2×D4).117D4 = (C2×C4).24D8φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).117D4128,803
(C2×D4).118D4 = C42⋊8C4⋊C2φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).118D4128,805
(C2×D4).119D4 = (C2×C8).55D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).119D4128,810
(C2×D4).120D4 = (C2×C8).165D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).120D4128,811
(C2×D4).121D4 = C42.9D4φ: D4/C2 → C22 ⊆ Out C2×D4324(C2xD4).121D4128,812
(C2×D4).122D4 = (C2×C8).D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).122D4128,813
(C2×D4).123D4 = C2×C2≀C4φ: D4/C2 → C22 ⊆ Out C2×D416(C2xD4).123D4128,850
(C2×D4).124D4 = C2×C23.D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).124D4128,851
(C2×D4).125D4 = C4○C2≀C4φ: D4/C2 → C22 ⊆ Out C2×D4164(C2xD4).125D4128,852
(C2×D4).126D4 = C24.36D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).126D4128,853
(C2×D4).127D4 = C2≀C4⋊C2φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).127D4128,854
(C2×D4).128D4 = C23.(C2×D4)φ: D4/C2 → C22 ⊆ Out C2×D4328-(C2xD4).128D4128,855
(C2×D4).129D4 = C2×C42⋊C4φ: D4/C2 → C22 ⊆ Out C2×D416(C2xD4).129D4128,856
(C2×D4).130D4 = C2×C42⋊3C4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).130D4128,857
(C2×D4).131D4 = C4⋊Q8⋊29C4φ: D4/C2 → C22 ⊆ Out C2×D4164(C2xD4).131D4128,858
(C2×D4).132D4 = C24.39D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).132D4128,859
(C2×D4).133D4 = C4.4D4⋊C4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).133D4128,860
(C2×D4).134D4 = C4⋊Q8⋊C4φ: D4/C2 → C22 ⊆ Out C2×D4328-(C2xD4).134D4128,861
(C2×D4).135D4 = (C2×D4).135D4φ: D4/C2 → C22 ⊆ Out C2×D4164(C2xD4).135D4128,864
(C2×D4).136D4 = C4⋊1D4.C4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).136D4128,866
(C2×D4).137D4 = (C2×D4).137D4φ: D4/C2 → C22 ⊆ Out C2×D4328-(C2xD4).137D4128,867
(C2×D4).138D4 = C23.584C24φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).138D4128,1416
(C2×D4).139D4 = C24.393C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).139D4128,1418
(C2×D4).140D4 = C23.597C24φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).140D4128,1429
(C2×D4).141D4 = C24.407C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).141D4128,1433
(C2×D4).142D4 = C23.608C24φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).142D4128,1440
(C2×D4).143D4 = C24.411C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).143D4128,1441
(C2×D4).144D4 = C23.617C24φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).144D4128,1449
(C2×D4).145D4 = C23.624C24φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).145D4128,1456
(C2×D4).146D4 = D4.(C2×D4)φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).146D4128,1741
(C2×D4).147D4 = C42.13C23φ: D4/C2 → C22 ⊆ Out C2×D4328-(C2xD4).147D4128,1754
(C2×D4).148D4 = C2×C23.7D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).148D4128,1756
(C2×D4).149D4 = C23.10C24φ: D4/C2 → C22 ⊆ Out C2×D4328-(C2xD4).149D4128,1760
(C2×D4).150D4 = C42.15C23φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).150D4128,1774
(C2×D4).151D4 = M4(2).37D4φ: D4/C2 → C22 ⊆ Out C2×D4168+(C2xD4).151D4128,1800
(C2×D4).152D4 = M4(2).38D4φ: D4/C2 → C22 ⊆ Out C2×D4328-(C2xD4).152D4128,1801
(C2×D4).153D4 = C4.2+ 1+4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).153D4128,1930
(C2×D4).154D4 = C4.142+ 1+4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).154D4128,1931
(C2×D4).155D4 = C4.152+ 1+4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).155D4128,1932
(C2×D4).156D4 = C4.162+ 1+4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).156D4128,1933
(C2×D4).157D4 = C4.172+ 1+4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).157D4128,1934
(C2×D4).158D4 = C4.182+ 1+4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).158D4128,1935
(C2×D4).159D4 = C4.192+ 1+4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).159D4128,1936
(C2×D4).160D4 = D8⋊10D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).160D4128,1999
(C2×D4).161D4 = SD16⋊7D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).161D4128,2000
(C2×D4).162D4 = SD16⋊8D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).162D4128,2001
(C2×D4).163D4 = Q16⋊10D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).163D4128,2003
(C2×D4).164D4 = D8⋊5D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).164D4128,2005
(C2×D4).165D4 = SD16⋊2D4φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).165D4128,2007
(C2×D4).166D4 = Q16⋊4D4φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).166D4128,2009
(C2×D4).167D4 = C42.42C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).167D4128,2039
(C2×D4).168D4 = C42.44C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).168D4128,2041
(C2×D4).169D4 = C42.46C23φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).169D4128,2043
(C2×D4).170D4 = C42.48C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).170D4128,2045
(C2×D4).171D4 = C42.50C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).171D4128,2047
(C2×D4).172D4 = C42.52C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).172D4128,2049
(C2×D4).173D4 = C42.54C23φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).173D4128,2051
(C2×D4).174D4 = C42.56C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).174D4128,2053
(C2×D4).175D4 = C42.471C23φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).175D4128,2054
(C2×D4).176D4 = C42.472C23φ: D4/C2 → C22 ⊆ Out C2×D432(C2xD4).176D4128,2055
(C2×D4).177D4 = C42.475C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).177D4128,2058
(C2×D4).178D4 = C42.476C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).178D4128,2059
(C2×D4).179D4 = C42.61C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).179D4128,2079
(C2×D4).180D4 = C42.62C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).180D4128,2080
(C2×D4).181D4 = C42.63C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).181D4128,2081
(C2×D4).182D4 = C42.64C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).182D4128,2082
(C2×D4).183D4 = C42.492C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).183D4128,2083
(C2×D4).184D4 = C42.493C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).184D4128,2084
(C2×D4).185D4 = C42.496C23φ: D4/C2 → C22 ⊆ Out C2×D464(C2xD4).185D4128,2087
(C2×D4).186D4 = C8⋊8D8φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).186D4128,397
(C2×D4).187D4 = C8⋊7D8φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).187D4128,399
(C2×D4).188D4 = C8.28D8φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).188D4128,401
(C2×D4).189D4 = C8⋊11SD16φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).189D4128,403
(C2×D4).190D4 = C8⋊10SD16φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).190D4128,405
(C2×D4).191D4 = D4.1Q16φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).191D4128,407
(C2×D4).192D4 = D4.2SD16φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).192D4128,409
(C2×D4).193D4 = D4.3SD16φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).193D4128,411
(C2×D4).194D4 = D4.2D8φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).194D4128,413
(C2×D4).195D4 = D4.Q16φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).195D4128,415
(C2×D4).196D4 = C24.167C23φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).196D4128,531
(C2×D4).197D4 = C42.96D4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).197D4128,532
(C2×D4).198D4 = C42.98D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).198D4128,534
(C2×D4).199D4 = C42.100D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).199D4128,536
(C2×D4).200D4 = (C2×D4).24Q8φ: D4/C4 → C2 ⊆ Out C2×D4324(C2xD4).200D4128,544
(C2×D4).201D4 = (C2×C8).103D4φ: D4/C4 → C2 ⊆ Out C2×D4324(C2xD4).201D4128,545
(C2×D4).202D4 = C4○D4.4Q8φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).202D4128,547
(C2×D4).203D4 = C4○D4.5Q8φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).203D4128,548
(C2×D4).204D4 = (C2×SD16)⋊14C4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).204D4128,609
(C2×D4).205D4 = (C2×C4)⋊9D8φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).205D4128,611
(C2×D4).206D4 = M4(2).48D4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).206D4128,639
(C2×D4).207D4 = M4(2).49D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).207D4128,640
(C2×D4).208D4 = C24.258C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).208D4128,1157
(C2×D4).209D4 = C23.327C24φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).209D4128,1159
(C2×D4).210D4 = C24.299C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).210D4128,1218
(C2×D4).211D4 = C23.434C24φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).211D4128,1266
(C2×D4).212D4 = C42⋊21D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).212D4128,1276
(C2×D4).213D4 = C42.170D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).213D4128,1279
(C2×D4).214D4 = C2×D4.D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).214D4128,1762
(C2×D4).215D4 = C2×D4.2D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).215D4128,1763
(C2×D4).216D4 = (C2×C8)⋊11D4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).216D4128,1789
(C2×D4).217D4 = (C2×C8)⋊12D4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).217D4128,1790
(C2×D4).218D4 = C8.D4⋊C2φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).218D4128,1791
(C2×D4).219D4 = (C2×C8)⋊13D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).219D4128,1792
(C2×D4).220D4 = (C2×C8)⋊14D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).220D4128,1793
(C2×D4).221D4 = M4(2)⋊16D4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).221D4128,1794
(C2×D4).222D4 = M4(2)⋊17D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).222D4128,1795
(C2×D4).223D4 = C2×D4.3D4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).223D4128,1796
(C2×D4).224D4 = C2×D4.4D4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).224D4128,1797
(C2×D4).225D4 = C2×D4.5D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).225D4128,1798
(C2×D4).226D4 = M4(2).10C23φ: D4/C4 → C2 ⊆ Out C2×D4324(C2xD4).226D4128,1799
(C2×D4).227D4 = D8⋊12D4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).227D4128,2012
(C2×D4).228D4 = SD16⋊10D4φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).228D4128,2014
(C2×D4).229D4 = D8⋊13D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).229D4128,2015
(C2×D4).230D4 = SD16⋊11D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).230D4128,2016
(C2×D4).231D4 = Q16⋊12D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).231D4128,2017
(C2×D4).232D4 = Q16⋊13D4φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).232D4128,2019
(C2×D4).233D4 = C42.461C23φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).233D4128,2028
(C2×D4).234D4 = C42.462C23φ: D4/C4 → C2 ⊆ Out C2×D432(C2xD4).234D4128,2029
(C2×D4).235D4 = C42.465C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).235D4128,2032
(C2×D4).236D4 = C42.466C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).236D4128,2033
(C2×D4).237D4 = C42.467C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).237D4128,2034
(C2×D4).238D4 = C42.468C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).238D4128,2035
(C2×D4).239D4 = C42.469C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).239D4128,2036
(C2×D4).240D4 = C42.470C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).240D4128,2037
(C2×D4).241D4 = C42.485C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).241D4128,2068
(C2×D4).242D4 = C42.486C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).242D4128,2069
(C2×D4).243D4 = C42.488C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).243D4128,2071
(C2×D4).244D4 = C42.489C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).244D4128,2072
(C2×D4).245D4 = C42.490C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).245D4128,2073
(C2×D4).246D4 = C42.491C23φ: D4/C4 → C2 ⊆ Out C2×D464(C2xD4).246D4128,2074
(C2×D4).247D4 = C8.C24φ: D4/C4 → C2 ⊆ Out C2×D4324(C2xD4).247D4128,2316
(C2×D4).248D4 = D4⋊D8φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).248D4128,351
(C2×D4).249D4 = D4⋊SD16φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).249D4128,354
(C2×D4).250D4 = Q8⋊3D8φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).250D4128,359
(C2×D4).251D4 = D4⋊2SD16φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).251D4128,361
(C2×D4).252D4 = D4⋊Q16φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).252D4128,364
(C2×D4).253D4 = D4.3Q16φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).253D4128,369
(C2×D4).254D4 = D4.D8φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).254D4128,371
(C2×D4).255D4 = D4.5SD16φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).255D4128,375
(C2×D4).256D4 = D4⋊3Q16φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).256D4128,376
(C2×D4).257D4 = D4⋊4Q16φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).257D4128,381
(C2×D4).258D4 = Q8⋊4SD16φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).258D4128,383
(C2×D4).259D4 = C25⋊C4φ: D4/C22 → C2 ⊆ Out C2×D416(C2xD4).259D4128,513
(C2×D4).260D4 = C24.165C23φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).260D4128,514
(C2×D4).261D4 = C25.C4φ: D4/C22 → C2 ⊆ Out C2×D416(C2xD4).261D4128,515
(C2×D4).262D4 = (C23×C4).C4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).262D4128,517
(C2×D4).263D4 = C23.35D8φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).263D4128,518
(C2×D4).264D4 = C24.65D4φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).264D4128,520
(C2×D4).265D4 = 2+ 1+4⋊3C4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).265D4128,524
(C2×D4).266D4 = 2- 1+4⋊2C4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).266D4128,525
(C2×D4).267D4 = (C22×Q8)⋊C4φ: D4/C22 → C2 ⊆ Out C2×D4328-(C2xD4).267D4128,528
(C2×D4).268D4 = (C2×C42)⋊C4φ: D4/C22 → C2 ⊆ Out C2×D4164(C2xD4).268D4128,559
(C2×D4).269D4 = C24.C23φ: D4/C22 → C2 ⊆ Out C2×D4168+(C2xD4).269D4128,560
(C2×D4).270D4 = C24.6(C2×C4)φ: D4/C22 → C2 ⊆ Out C2×D4168+(C2xD4).270D4128,561
(C2×D4).271D4 = C4≀C2⋊C4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).271D4128,591
(C2×D4).272D4 = C42⋊9(C2×C4)φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).272D4128,592
(C2×D4).273D4 = C2.(C4×D8)φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).273D4128,594
(C2×D4).274D4 = D4⋊(C4⋊C4)φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).274D4128,596
(C2×D4).275D4 = C8.C22⋊C4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).275D4128,614
(C2×D4).276D4 = C8⋊C22⋊C4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).276D4128,615
(C2×D4).277D4 = C42.426D4φ: D4/C22 → C2 ⊆ Out C2×D4164(C2xD4).277D4128,638
(C2×D4).278D4 = C24.94D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).278D4128,1137
(C2×D4).279D4 = C24.243C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).279D4128,1138
(C2×D4).280D4 = C23.318C24φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).280D4128,1150
(C2×D4).281D4 = C24.563C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).281D4128,1151
(C2×D4).282D4 = C24.254C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).282D4128,1152
(C2×D4).283D4 = C23.322C24φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).283D4128,1154
(C2×D4).284D4 = C24.264C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).284D4128,1164
(C2×D4).285D4 = C23.335C24φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).285D4128,1167
(C2×D4).286D4 = C24.269C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).286D4128,1175
(C2×D4).287D4 = C23.344C24φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).287D4128,1176
(C2×D4).288D4 = C23.345C24φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).288D4128,1177
(C2×D4).289D4 = C24.271C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).289D4128,1179
(C2×D4).290D4 = C23.C24φ: D4/C22 → C2 ⊆ Out C2×D4168+(C2xD4).290D4128,1615
(C2×D4).291D4 = 2- 1+4⋊5C4φ: D4/C22 → C2 ⊆ Out C2×D4164(C2xD4).291D4128,1633
(C2×D4).292D4 = C2×C22⋊SD16φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).292D4128,1729
(C2×D4).293D4 = C2×D4.7D4φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).293D4128,1733
(C2×D4).294D4 = (C2×Q8)⋊16D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).294D4128,1742
(C2×D4).295D4 = Q8.(C2×D4)φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).295D4128,1743
(C2×D4).296D4 = (C2×Q8)⋊17D4φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).296D4128,1745
(C2×D4).297D4 = C2×D4.9D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).297D4128,1747
(C2×D4).298D4 = C2×D4.8D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).298D4128,1748
(C2×D4).299D4 = C2×D4.10D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).299D4128,1749
(C2×D4).300D4 = M4(2).C23φ: D4/C22 → C2 ⊆ Out C2×D4328-(C2xD4).300D4128,1752
(C2×D4).301D4 = (C2×D4).301D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).301D4128,1828
(C2×D4).302D4 = (C2×D4).302D4φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).302D4128,1829
(C2×D4).303D4 = (C2×D4).303D4φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).303D4128,1830
(C2×D4).304D4 = (C2×D4).304D4φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).304D4128,1831
(C2×D4).305D4 = D8⋊9D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).305D4128,1996
(C2×D4).306D4 = SD16⋊D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).306D4128,1997
(C2×D4).307D4 = SD16⋊6D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).307D4128,1998
(C2×D4).308D4 = Q16⋊9D4φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).308D4128,2002
(C2×D4).309D4 = D8⋊4D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).309D4128,2004
(C2×D4).310D4 = SD16⋊1D4φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).310D4128,2006
(C2×D4).311D4 = SD16⋊3D4φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).311D4128,2008
(C2×D4).312D4 = Q16⋊5D4φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).312D4128,2010
(C2×D4).313D4 = C42.41C23φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).313D4128,2038
(C2×D4).314D4 = C42.43C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).314D4128,2040
(C2×D4).315D4 = C42.45C23φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).315D4128,2042
(C2×D4).316D4 = C42.47C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).316D4128,2044
(C2×D4).317D4 = C42.49C23φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).317D4128,2046
(C2×D4).318D4 = C42.51C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).318D4128,2048
(C2×D4).319D4 = C42.53C23φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).319D4128,2050
(C2×D4).320D4 = C42.55C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).320D4128,2052
(C2×D4).321D4 = C42.473C23φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).321D4128,2056
(C2×D4).322D4 = C42.474C23φ: D4/C22 → C2 ⊆ Out C2×D432(C2xD4).322D4128,2057
(C2×D4).323D4 = C42.477C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).323D4128,2060
(C2×D4).324D4 = C42.478C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).324D4128,2061
(C2×D4).325D4 = C42.479C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).325D4128,2062
(C2×D4).326D4 = C42.480C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).326D4128,2063
(C2×D4).327D4 = C42.481C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).327D4128,2064
(C2×D4).328D4 = C42.482C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).328D4128,2065
(C2×D4).329D4 = C42.57C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).329D4128,2075
(C2×D4).330D4 = C42.58C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).330D4128,2076
(C2×D4).331D4 = C42.59C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).331D4128,2077
(C2×D4).332D4 = C42.60C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).332D4128,2078
(C2×D4).333D4 = C42.494C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).333D4128,2085
(C2×D4).334D4 = C42.495C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).334D4128,2086
(C2×D4).335D4 = C42.497C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).335D4128,2088
(C2×D4).336D4 = C42.498C23φ: D4/C22 → C2 ⊆ Out C2×D464(C2xD4).336D4128,2089
(C2×D4).337D4 = D8⋊C23φ: D4/C22 → C2 ⊆ Out C2×D4168+(C2xD4).337D4128,2317
(C2×D4).338D4 = C4.C25φ: D4/C22 → C2 ⊆ Out C2×D4328-(C2xD4).338D4128,2318
(C2×D4).339D4 = D4×C22⋊C4φ: trivial image32(C2xD4).339D4128,1070
(C2×D4).340D4 = C24.549C23φ: trivial image64(C2xD4).340D4128,1071
(C2×D4).341D4 = D4×C4⋊C4φ: trivial image64(C2xD4).341D4128,1080
(C2×D4).342D4 = C23.231C24φ: trivial image64(C2xD4).342D4128,1081
(C2×D4).343D4 = 2+ 1+4⋊5C4φ: trivial image32(C2xD4).343D4128,1629
(C2×D4).344D4 = 2- 1+4⋊4C4φ: trivial image64(C2xD4).344D4128,1630
(C2×D4).345D4 = C4○D4.7Q8φ: trivial image64(C2xD4).345D4128,1644
(C2×D4).346D4 = C4○D4.8Q8φ: trivial image64(C2xD4).346D4128,1645
(C2×D4).347D4 = D4×D8φ: trivial image32(C2xD4).347D4128,2011
(C2×D4).348D4 = D4×SD16φ: trivial image32(C2xD4).348D4128,2013
(C2×D4).349D4 = D4×Q16φ: trivial image64(C2xD4).349D4128,2018
(C2×D4).350D4 = D4⋊4D8φ: trivial image32(C2xD4).350D4128,2026
(C2×D4).351D4 = D4⋊7SD16φ: trivial image32(C2xD4).351D4128,2027
(C2×D4).352D4 = D4⋊8SD16φ: trivial image64(C2xD4).352D4128,2030
(C2×D4).353D4 = D4⋊5Q16φ: trivial image64(C2xD4).353D4128,2031
(C2×D4).354D4 = D4⋊5D8φ: trivial image64(C2xD4).354D4128,2066
(C2×D4).355D4 = D4⋊9SD16φ: trivial image64(C2xD4).355D4128,2067
(C2×D4).356D4 = D4⋊6Q16φ: trivial image64(C2xD4).356D4128,2070
(C2×D4).357D4 = C2×D4○D8φ: trivial image32(C2xD4).357D4128,2313
(C2×D4).358D4 = C2×D4○SD16φ: trivial image32(C2xD4).358D4128,2314
(C2×D4).359D4 = C2×Q8○D8φ: trivial image64(C2xD4).359D4128,2315

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