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Extensions 1→N→G→Q→1 with N=C2×Q8 and Q=D4

Direct product G=N×Q with N=C2×Q8 and Q=D4
dρLabelID
C2×D4×Q864C2xD4xQ8128,2198

Semidirect products G=N:Q with N=C2×Q8 and Q=D4
extensionφ:Q→Out NdρLabelID
(C2×Q8)⋊1D4 = C23⋊SD16φ: D4/C1 → D4 ⊆ Out C2×Q816(C2xQ8):1D4128,328
(C2×Q8)⋊2D4 = C24.9D4φ: D4/C1 → D4 ⊆ Out C2×Q816(C2xQ8):2D4128,332
(C2×Q8)⋊3D4 = C42⋊4D4φ: D4/C1 → D4 ⊆ Out C2×Q8164(C2xQ8):3D4128,929
(C2×Q8)⋊4D4 = C42⋊5D4φ: D4/C1 → D4 ⊆ Out C2×Q8168+(C2xQ8):4D4128,931
(C2×Q8)⋊5D4 = C23⋊3SD16φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8):5D4128,732
(C2×Q8)⋊6D4 = C42⋊9D4φ: D4/C2 → C22 ⊆ Out C2×Q816(C2xQ8):6D4128,734
(C2×Q8)⋊7D4 = C42⋊10D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8):7D4128,736
(C2×Q8)⋊8D4 = M4(2)⋊4D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8):8D4128,739
(C2×Q8)⋊9D4 = M4(2)⋊5D4φ: D4/C2 → C22 ⊆ Out C2×Q8168+(C2xQ8):9D4128,740
(C2×Q8)⋊10D4 = C42⋊2D4φ: D4/C2 → C22 ⊆ Out C2×Q8164(C2xQ8):10D4128,742
(C2×Q8)⋊11D4 = (C2×C8)⋊20D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8):11D4128,746
(C2×Q8)⋊12D4 = C24.420C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8):12D4128,1460
(C2×Q8)⋊13D4 = C23.630C24φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8):13D4128,1462
(C2×Q8)⋊14D4 = C23.632C24φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8):14D4128,1464
(C2×Q8)⋊15D4 = C23.633C24φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8):15D4128,1465
(C2×Q8)⋊16D4 = (C2×Q8)⋊16D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8):16D4128,1742
(C2×Q8)⋊17D4 = (C2×Q8)⋊17D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8):17D4128,1745
(C2×Q8)⋊18D4 = C42.313C23φ: D4/C2 → C22 ⊆ Out C2×Q8164(C2xQ8):18D4128,1750
(C2×Q8)⋊19D4 = C42.12C23φ: D4/C2 → C22 ⊆ Out C2×Q8168+(C2xQ8):19D4128,1753
(C2×Q8)⋊20D4 = C23.7C24φ: D4/C2 → C22 ⊆ Out C2×Q8164(C2xQ8):20D4128,1757
(C2×Q8)⋊21D4 = C23.9C24φ: D4/C2 → C22 ⊆ Out C2×Q8168+(C2xQ8):21D4128,1759
(C2×Q8)⋊22D4 = C42.16C23φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8):22D4128,1775
(C2×Q8)⋊23D4 = C24.259C23φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8):23D4128,1158
(C2×Q8)⋊24D4 = C42.165D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8):24D4128,1268
(C2×Q8)⋊25D4 = C42.166D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8):25D4128,1270
(C2×Q8)⋊26D4 = C42.171D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8):26D4128,1280
(C2×Q8)⋊27D4 = C2×C4⋊SD16φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8):27D4128,1764
(C2×Q8)⋊28D4 = C42.212D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8):28D4128,1769
(C2×Q8)⋊29D4 = C4⋊2- 1+4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8):29D4128,2229
(C2×Q8)⋊30D4 = C24.244C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8):30D4128,1139
(C2×Q8)⋊31D4 = C23.309C24φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8):31D4128,1141
(C2×Q8)⋊32D4 = C24.263C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8):32D4128,1163
(C2×Q8)⋊33D4 = C24.565C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8):33D4128,1168
(C2×Q8)⋊34D4 = C2×Q8⋊D4φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8):34D4128,1730
(C2×Q8)⋊35D4 = C2×D4⋊D4φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8):35D4128,1732
(C2×Q8)⋊36D4 = C24.178D4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8):36D4128,1736
(C2×Q8)⋊37D4 = C24.104D4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8):37D4128,1737
(C2×Q8)⋊38D4 = C2×D4⋊4D4φ: D4/C22 → C2 ⊆ Out C2×Q816(C2xQ8):38D4128,1746
(C2×Q8)⋊39D4 = M4(2)⋊C23φ: D4/C22 → C2 ⊆ Out C2×Q8168+(C2xQ8):39D4128,1751
(C2×Q8)⋊40D4 = C22.75C25φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8):40D4128,2218
(C2×Q8)⋊41D4 = C22.76C25φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8):41D4128,2219
(C2×Q8)⋊42D4 = C2×Q8⋊5D4φ: trivial image64(C2xQ8):42D4128,2197
(C2×Q8)⋊43D4 = C2×Q8⋊6D4φ: trivial image64(C2xQ8):43D4128,2199

Non-split extensions G=N.Q with N=C2×Q8 and Q=D4
extensionφ:Q→Out NdρLabelID
(C2×Q8).1D4 = C42.2D4φ: D4/C1 → D4 ⊆ Out C2×Q8164(C2xQ8).1D4128,135
(C2×Q8).2D4 = C42.4D4φ: D4/C1 → D4 ⊆ Out C2×Q8164-(C2xQ8).2D4128,137
(C2×Q8).3D4 = C8⋊C4⋊C4φ: D4/C1 → D4 ⊆ Out C2×Q8168+(C2xQ8).3D4128,138
(C2×Q8).4D4 = (C2×D4).D4φ: D4/C1 → D4 ⊆ Out C2×Q8328-(C2xQ8).4D4128,139
(C2×Q8).5D4 = (C4×C8).C4φ: D4/C1 → D4 ⊆ Out C2×Q8164(C2xQ8).5D4128,142
(C2×Q8).6D4 = (C2×Q8).D4φ: D4/C1 → D4 ⊆ Out C2×Q8324-(C2xQ8).6D4128,143
(C2×Q8).7D4 = C8⋊C4.C4φ: D4/C1 → D4 ⊆ Out C2×Q8328-(C2xQ8).7D4128,145
(C2×Q8).8D4 = (C4×C8)⋊C4φ: D4/C1 → D4 ⊆ Out C2×Q8324(C2xQ8).8D4128,146
(C2×Q8).9D4 = C4⋊C4.D4φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).9D4128,329
(C2×Q8).10D4 = (C2×C4)⋊SD16φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).10D4128,331
(C2×Q8).11D4 = C23⋊Q16φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).11D4128,334
(C2×Q8).12D4 = C4⋊C4.6D4φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).12D4128,335
(C2×Q8).13D4 = (C2×C4)⋊Q16φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).13D4128,337
(C2×Q8).14D4 = C24.12D4φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).14D4128,338
(C2×Q8).15D4 = C24.14D4φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).15D4128,340
(C2×Q8).16D4 = C4⋊C4.12D4φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).16D4128,341
(C2×Q8).17D4 = (C2×C4).SD16φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).17D4128,343
(C2×Q8).18D4 = C24.15D4φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).18D4128,344
(C2×Q8).19D4 = C24.17D4φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).19D4128,346
(C2×Q8).20D4 = C4⋊C4.18D4φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).20D4128,347
(C2×Q8).21D4 = C4⋊C4.20D4φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).21D4128,349
(C2×Q8).22D4 = C24.18D4φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).22D4128,350
(C2×Q8).23D4 = C42.185C23φ: D4/C1 → D4 ⊆ Out C2×Q864(C2xQ8).23D4128,356
(C2×Q8).24D4 = C42.195C23φ: D4/C1 → D4 ⊆ Out C2×Q864(C2xQ8).24D4128,366
(C2×Q8).25D4 = D4⋊3Q16φ: D4/C1 → D4 ⊆ Out C2×Q864(C2xQ8).25D4128,376
(C2×Q8).26D4 = C42.207C23φ: D4/C1 → D4 ⊆ Out C2×Q864(C2xQ8).26D4128,378
(C2×Q8).27D4 = C42.C23φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).27D4128,387
(C2×Q8).28D4 = C42.2C23φ: D4/C1 → D4 ⊆ Out C2×Q864(C2xQ8).28D4128,388
(C2×Q8).29D4 = C42.3C23φ: D4/C1 → D4 ⊆ Out C2×Q864(C2xQ8).29D4128,389
(C2×Q8).30D4 = C42.5C23φ: D4/C1 → D4 ⊆ Out C2×Q832(C2xQ8).30D4128,391
(C2×Q8).31D4 = C42.6C23φ: D4/C1 → D4 ⊆ Out C2×Q864(C2xQ8).31D4128,392
(C2×Q8).32D4 = C42.7C23φ: D4/C1 → D4 ⊆ Out C2×Q864(C2xQ8).32D4128,393
(C2×Q8).33D4 = C42.8C23φ: D4/C1 → D4 ⊆ Out C2×Q864(C2xQ8).33D4128,394
(C2×Q8).34D4 = C42.10C23φ: D4/C1 → D4 ⊆ Out C2×Q864(C2xQ8).34D4128,396
(C2×Q8).35D4 = C42.14D4φ: D4/C1 → D4 ⊆ Out C2×Q8328-(C2xQ8).35D4128,933
(C2×Q8).36D4 = C42.16D4φ: D4/C1 → D4 ⊆ Out C2×Q8328-(C2xQ8).36D4128,935
(C2×Q8).37D4 = C42.17D4φ: D4/C1 → D4 ⊆ Out C2×Q8164(C2xQ8).37D4128,936
(C2×Q8).38D4 = Q8≀C2φ: D4/C1 → D4 ⊆ Out C2×Q8164-(C2xQ8).38D4128,937
(C2×Q8).39D4 = C23.3C42φ: D4/C2 → C22 ⊆ Out C2×Q8324(C2xQ8).39D4128,124
(C2×Q8).40D4 = (C2×Q8).Q8φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).40D4128,126
(C2×Q8).41D4 = C42.181C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).41D4128,352
(C2×Q8).42D4 = D4⋊SD16φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).42D4128,354
(C2×Q8).43D4 = Q8⋊6SD16φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).43D4128,358
(C2×Q8).44D4 = C42.189C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).44D4128,360
(C2×Q8).45D4 = C42.191C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).45D4128,362
(C2×Q8).46D4 = D4⋊Q16φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).46D4128,364
(C2×Q8).47D4 = Q8.Q16φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).47D4128,368
(C2×Q8).48D4 = C42.199C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).48D4128,370
(C2×Q8).49D4 = C42.201C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).49D4128,372
(C2×Q8).50D4 = D4.5SD16φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).50D4128,375
(C2×Q8).51D4 = Q8⋊4Q16φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).51D4128,380
(C2×Q8).52D4 = C42.211C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).52D4128,382
(C2×Q8).53D4 = C42.213C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).53D4128,384
(C2×Q8).54D4 = Q8.SD16φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).54D4128,385
(C2×Q8).55D4 = C8⋊SD16φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).55D4128,418
(C2×Q8).56D4 = C8⋊2SD16φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).56D4128,420
(C2×Q8).57D4 = C8.SD16φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).57D4128,422
(C2×Q8).58D4 = C8⋊Q16φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).58D4128,424
(C2×Q8).59D4 = C8⋊2Q16φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).59D4128,426
(C2×Q8).60D4 = C8.3Q16φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).60D4128,428
(C2×Q8).61D4 = C42.249C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).61D4128,430
(C2×Q8).62D4 = C42.251C23φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).62D4128,432
(C2×Q8).63D4 = C42.253C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).63D4128,434
(C2×Q8).64D4 = C42.255C23φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).64D4128,436
(C2×Q8).65D4 = 2+ 1+4.2C4φ: D4/C2 → C22 ⊆ Out C2×Q8324(C2xQ8).65D4128,523
(C2×Q8).66D4 = 2- 1+4⋊2C4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).66D4128,525
(C2×Q8).67D4 = 2+ 1+4⋊4C4φ: D4/C2 → C22 ⊆ Out C2×Q8324(C2xQ8).67D4128,526
(C2×Q8).68D4 = (C22×Q8)⋊C4φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).68D4128,528
(C2×Q8).69D4 = M4(2).44D4φ: D4/C2 → C22 ⊆ Out C2×Q8324(C2xQ8).69D4128,613
(C2×Q8).70D4 = C4⋊Q8⋊15C4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).70D4128,618
(C2×Q8).71D4 = C4.4D4⋊13C4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).71D4128,620
(C2×Q8).72D4 = (C2×C8)⋊D4φ: D4/C2 → C22 ⊆ Out C2×Q8164(C2xQ8).72D4128,623
(C2×Q8).73D4 = C42.6D4φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).73D4128,637
(C2×Q8).74D4 = C42.7D4φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).74D4128,644
(C2×Q8).75D4 = M4(2)⋊21D4φ: D4/C2 → C22 ⊆ Out C2×Q8168+(C2xQ8).75D4128,646
(C2×Q8).76D4 = M4(2).50D4φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).76D4128,647
(C2×Q8).77D4 = C23⋊2Q16φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).77D4128,733
(C2×Q8).78D4 = C42.129D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).78D4128,735
(C2×Q8).79D4 = C42.130D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).79D4128,737
(C2×Q8).80D4 = M4(2)⋊D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).80D4128,738
(C2×Q8).81D4 = M4(2).D4φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).81D4128,741
(C2×Q8).82D4 = (C22×D8).C2φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).82D4128,744
(C2×Q8).83D4 = (C2×C4)⋊3SD16φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).83D4128,745
(C2×Q8).84D4 = (C2×C8).41D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).84D4128,747
(C2×Q8).85D4 = (C2×C4)⋊2Q16φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).85D4128,748
(C2×Q8).86D4 = (C2×C8).2D4φ: D4/C2 → C22 ⊆ Out C2×Q8324(C2xQ8).86D4128,749
(C2×Q8).87D4 = M4(2).4D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).87D4128,750
(C2×Q8).88D4 = M4(2).5D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).88D4128,751
(C2×Q8).89D4 = M4(2).6D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).89D4128,752
(C2×Q8).90D4 = C24.85D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).90D4128,767
(C2×Q8).91D4 = C24.86D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).91D4128,768
(C2×Q8).92D4 = M4(2)⋊6D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).92D4128,769
(C2×Q8).93D4 = M4(2).7D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).93D4128,770
(C2×Q8).94D4 = C42⋊11D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).94D4128,771
(C2×Q8).95D4 = C42⋊12D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).95D4128,772
(C2×Q8).96D4 = C4⋊C4.94D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).96D4128,774
(C2×Q8).97D4 = C4⋊C4.95D4φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).97D4128,775
(C2×Q8).98D4 = C4⋊C4.97D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).98D4128,778
(C2×Q8).99D4 = C4⋊C4.98D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).99D4128,779
(C2×Q8).100D4 = M4(2).8D4φ: D4/C2 → C22 ⊆ Out C2×Q8168+(C2xQ8).100D4128,780
(C2×Q8).101D4 = M4(2).9D4φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).101D4128,781
(C2×Q8).102D4 = C42.131D4φ: D4/C2 → C22 ⊆ Out C2×Q8164(C2xQ8).102D4128,782
(C2×Q8).103D4 = M4(2).10D4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).103D4128,783
(C2×Q8).104D4 = M4(2).11D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).104D4128,784
(C2×Q8).105D4 = C22⋊C4.7D4φ: D4/C2 → C22 ⊆ Out C2×Q8324(C2xQ8).105D4128,785
(C2×Q8).106D4 = (C2×C4)⋊5SD16φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).106D4128,787
(C2×Q8).107D4 = (C2×C4)⋊3Q16φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).107D4128,788
(C2×Q8).108D4 = (C2×C4).19Q16φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).108D4128,804
(C2×Q8).109D4 = (C2×Q8).109D4φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).109D4128,806
(C2×Q8).110D4 = (C2×C8).55D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).110D4128,810
(C2×Q8).111D4 = (C2×C8).165D4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).111D4128,811
(C2×Q8).112D4 = C42.9D4φ: D4/C2 → C22 ⊆ Out C2×Q8324(C2xQ8).112D4128,812
(C2×Q8).113D4 = (C2×C8).6D4φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).113D4128,814
(C2×Q8).114D4 = C4○C2≀C4φ: D4/C2 → C22 ⊆ Out C2×Q8164(C2xQ8).114D4128,852
(C2×Q8).115D4 = C2≀C4⋊C2φ: D4/C2 → C22 ⊆ Out C2×Q8168+(C2xQ8).115D4128,854
(C2×Q8).116D4 = C23.(C2×D4)φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).116D4128,855
(C2×Q8).117D4 = C2×C42.C4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).117D4128,862
(C2×Q8).118D4 = C2×C42.3C4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).118D4128,863
(C2×Q8).119D4 = C4⋊Q8.C4φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).119D4128,865
(C2×Q8).120D4 = C24.421C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).120D4128,1461
(C2×Q8).121D4 = C23.631C24φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).121D4128,1463
(C2×Q8).122D4 = C23.634C24φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).122D4128,1466
(C2×Q8).123D4 = Q8.(C2×D4)φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).123D4128,1743
(C2×Q8).124D4 = C42.13C23φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).124D4128,1754
(C2×Q8).125D4 = C23.10C24φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).125D4128,1760
(C2×Q8).126D4 = C42.17C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).126D4128,1776
(C2×Q8).127D4 = M4(2).37D4φ: D4/C2 → C22 ⊆ Out C2×Q8168+(C2xQ8).127D4128,1800
(C2×Q8).128D4 = M4(2).38D4φ: D4/C2 → C22 ⊆ Out C2×Q8328-(C2xQ8).128D4128,1801
(C2×Q8).129D4 = C4.2+ 1+4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).129D4128,1930
(C2×Q8).130D4 = C4.142+ 1+4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).130D4128,1931
(C2×Q8).131D4 = C4.152+ 1+4φ: D4/C2 → C22 ⊆ Out C2×Q832(C2xQ8).131D4128,1932
(C2×Q8).132D4 = C4.162+ 1+4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).132D4128,1933
(C2×Q8).133D4 = C4.172+ 1+4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).133D4128,1934
(C2×Q8).134D4 = C4.182+ 1+4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).134D4128,1935
(C2×Q8).135D4 = C4.192+ 1+4φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).135D4128,1936
(C2×Q8).136D4 = C42.511C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).136D4128,2102
(C2×Q8).137D4 = C42.512C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).137D4128,2103
(C2×Q8).138D4 = C42.517C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).138D4128,2108
(C2×Q8).139D4 = C42.518C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).139D4128,2109
(C2×Q8).140D4 = SD16⋊3Q8φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).140D4128,2120
(C2×Q8).141D4 = D8⋊5Q8φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).141D4128,2121
(C2×Q8).142D4 = Q16⋊5Q8φ: D4/C2 → C22 ⊆ Out C2×Q8128(C2xQ8).142D4128,2122
(C2×Q8).143D4 = C42.531C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).143D4128,2133
(C2×Q8).144D4 = C42.532C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).144D4128,2134
(C2×Q8).145D4 = C42.533C23φ: D4/C2 → C22 ⊆ Out C2×Q864(C2xQ8).145D4128,2135
(C2×Q8).146D4 = C8⋊14SD16φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).146D4128,398
(C2×Q8).147D4 = C8⋊13SD16φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).147D4128,400
(C2×Q8).148D4 = Q8⋊1Q16φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).148D4128,402
(C2×Q8).149D4 = C8⋊8Q16φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).149D4128,404
(C2×Q8).150D4 = C8⋊7Q16φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).150D4128,406
(C2×Q8).151D4 = Q8.1Q16φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).151D4128,408
(C2×Q8).152D4 = Q8.2SD16φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).152D4128,410
(C2×Q8).153D4 = Q8.3SD16φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).153D4128,412
(C2×Q8).154D4 = Q8.2D8φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).154D4128,414
(C2×Q8).155D4 = Q8.2Q16φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).155D4128,416
(C2×Q8).156D4 = C42.97D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).156D4128,533
(C2×Q8).157D4 = C42.99D4φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).157D4128,535
(C2×Q8).158D4 = C42.101D4φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).158D4128,537
(C2×Q8).159D4 = (C2×C8).103D4φ: D4/C4 → C2 ⊆ Out C2×Q8324(C2xQ8).159D4128,545
(C2×Q8).160D4 = C4○D4.4Q8φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).160D4128,547
(C2×Q8).161D4 = C4○D4.5Q8φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).161D4128,548
(C2×Q8).162D4 = (C2×C4)⋊9Q16φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).162D4128,610
(C2×Q8).163D4 = (C2×SD16)⋊15C4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).163D4128,612
(C2×Q8).164D4 = M4(2).48D4φ: D4/C4 → C2 ⊆ Out C2×Q832(C2xQ8).164D4128,639
(C2×Q8).165D4 = M4(2).49D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).165D4128,640
(C2×Q8).166D4 = C23.329C24φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).166D4128,1161
(C2×Q8).167D4 = C42.168D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).167D4128,1277
(C2×Q8).168D4 = C42.169D4φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).168D4128,1278
(C2×Q8).169D4 = C2×C4⋊2Q16φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).169D4128,1765
(C2×Q8).170D4 = C2×Q8.D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).170D4128,1766
(C2×Q8).171D4 = (C2×C8)⋊11D4φ: D4/C4 → C2 ⊆ Out C2×Q832(C2xQ8).171D4128,1789
(C2×Q8).172D4 = (C2×C8)⋊12D4φ: D4/C4 → C2 ⊆ Out C2×Q832(C2xQ8).172D4128,1790
(C2×Q8).173D4 = C8.D4⋊C2φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).173D4128,1791
(C2×Q8).174D4 = (C2×C8)⋊13D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).174D4128,1792
(C2×Q8).175D4 = (C2×C8)⋊14D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).175D4128,1793
(C2×Q8).176D4 = M4(2)⋊16D4φ: D4/C4 → C2 ⊆ Out C2×Q832(C2xQ8).176D4128,1794
(C2×Q8).177D4 = M4(2)⋊17D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).177D4128,1795
(C2×Q8).178D4 = C2×D4.3D4φ: D4/C4 → C2 ⊆ Out C2×Q832(C2xQ8).178D4128,1796
(C2×Q8).179D4 = C2×D4.4D4φ: D4/C4 → C2 ⊆ Out C2×Q832(C2xQ8).179D4128,1797
(C2×Q8).180D4 = C2×D4.5D4φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).180D4128,1798
(C2×Q8).181D4 = M4(2).10C23φ: D4/C4 → C2 ⊆ Out C2×Q8324(C2xQ8).181D4128,1799
(C2×Q8).182D4 = C42.501C23φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).182D4128,2092
(C2×Q8).183D4 = C42.502C23φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).183D4128,2093
(C2×Q8).184D4 = C42.505C23φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).184D4128,2096
(C2×Q8).185D4 = C42.506C23φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).185D4128,2097
(C2×Q8).186D4 = D8⋊6Q8φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).186D4128,2112
(C2×Q8).187D4 = SD16⋊4Q8φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).187D4128,2113
(C2×Q8).188D4 = Q16⋊6Q8φ: D4/C4 → C2 ⊆ Out C2×Q8128(C2xQ8).188D4128,2115
(C2×Q8).189D4 = C42.527C23φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).189D4128,2125
(C2×Q8).190D4 = C42.528C23φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).190D4128,2126
(C2×Q8).191D4 = C42.530C23φ: D4/C4 → C2 ⊆ Out C2×Q864(C2xQ8).191D4128,2128
(C2×Q8).192D4 = C8.C24φ: D4/C4 → C2 ⊆ Out C2×Q8324(C2xQ8).192D4128,2316
(C2×Q8).193D4 = Q8⋊D8φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).193D4128,353
(C2×Q8).194D4 = Q8⋊SD16φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).194D4128,355
(C2×Q8).195D4 = Q8⋊3D8φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).195D4128,359
(C2×Q8).196D4 = Q8⋊2SD16φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).196D4128,363
(C2×Q8).197D4 = Q8⋊Q16φ: D4/C22 → C2 ⊆ Out C2×Q8128(C2xQ8).197D4128,365
(C2×Q8).198D4 = D4.3Q16φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).198D4128,369
(C2×Q8).199D4 = Q8.D8φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).199D4128,373
(C2×Q8).200D4 = Q8⋊3SD16φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).200D4128,374
(C2×Q8).201D4 = Q8⋊3Q16φ: D4/C22 → C2 ⊆ Out C2×Q8128(C2xQ8).201D4128,377
(C2×Q8).202D4 = D4⋊4Q16φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).202D4128,381
(C2×Q8).203D4 = Q8⋊4SD16φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).203D4128,383
(C2×Q8).204D4 = C4.C22≀C2φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).204D4128,516
(C2×Q8).205D4 = (C23×C4).C4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).205D4128,517
(C2×Q8).206D4 = C24.155D4φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).206D4128,519
(C2×Q8).207D4 = C24.65D4φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).207D4128,520
(C2×Q8).208D4 = 2+ 1+4⋊3C4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).208D4128,524
(C2×Q8).209D4 = C4○D4.D4φ: D4/C22 → C2 ⊆ Out C2×Q8168+(C2xQ8).209D4128,527
(C2×Q8).210D4 = (C2×C42)⋊C4φ: D4/C22 → C2 ⊆ Out C2×Q8164(C2xQ8).210D4128,559
(C2×Q8).211D4 = (C2×Q8).211D4φ: D4/C22 → C2 ⊆ Out C2×Q8328-(C2xQ8).211D4128,562
(C2×Q8).212D4 = C4≀C2⋊C4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).212D4128,591
(C2×Q8).213D4 = C42⋊9(C2×C4)φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).213D4128,592
(C2×Q8).214D4 = Q8⋊(C4⋊C4)φ: D4/C22 → C2 ⊆ Out C2×Q8128(C2xQ8).214D4128,595
(C2×Q8).215D4 = Q8⋊C4⋊C4φ: D4/C22 → C2 ⊆ Out C2×Q8128(C2xQ8).215D4128,597
(C2×Q8).216D4 = C8.C22⋊C4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).216D4128,614
(C2×Q8).217D4 = C8⋊C22⋊C4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).217D4128,615
(C2×Q8).218D4 = C42.426D4φ: D4/C22 → C2 ⊆ Out C2×Q8164(C2xQ8).218D4128,638
(C2×Q8).219D4 = C23.321C24φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).219D4128,1153
(C2×Q8).220D4 = C23.323C24φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).220D4128,1155
(C2×Q8).221D4 = C24.264C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).221D4128,1164
(C2×Q8).222D4 = C23.334C24φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).222D4128,1166
(C2×Q8).223D4 = C23.346C24φ: D4/C22 → C2 ⊆ Out C2×Q8128(C2xQ8).223D4128,1178
(C2×Q8).224D4 = C23.348C24φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).224D4128,1180
(C2×Q8).225D4 = C23.4C24φ: D4/C22 → C2 ⊆ Out C2×Q8328-(C2xQ8).225D4128,1616
(C2×Q8).226D4 = 2- 1+4⋊5C4φ: D4/C22 → C2 ⊆ Out C2×Q8164(C2xQ8).226D4128,1633
(C2×Q8).227D4 = C2×C22⋊Q16φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).227D4128,1731
(C2×Q8).228D4 = C2×D4.7D4φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).228D4128,1733
(C2×Q8).229D4 = C4○D4⋊D4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).229D4128,1740
(C2×Q8).230D4 = D4.(C2×D4)φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).230D4128,1741
(C2×Q8).231D4 = (C2×D4)⋊21D4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).231D4128,1744
(C2×Q8).232D4 = C2×D4.9D4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).232D4128,1747
(C2×Q8).233D4 = C2×D4.8D4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).233D4128,1748
(C2×Q8).234D4 = C2×D4.10D4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).234D4128,1749
(C2×Q8).235D4 = M4(2).C23φ: D4/C22 → C2 ⊆ Out C2×Q8328-(C2xQ8).235D4128,1752
(C2×Q8).236D4 = (C2×D4).301D4φ: D4/C22 → C2 ⊆ Out C2×Q832(C2xQ8).236D4128,1828
(C2×Q8).237D4 = (C2×D4).302D4φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).237D4128,1829
(C2×Q8).238D4 = (C2×D4).303D4φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).238D4128,1830
(C2×Q8).239D4 = (C2×D4).304D4φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).239D4128,1831
(C2×Q8).240D4 = C42.507C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).240D4128,2098
(C2×Q8).241D4 = C42.508C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).241D4128,2099
(C2×Q8).242D4 = C42.509C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).242D4128,2100
(C2×Q8).243D4 = C42.510C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).243D4128,2101
(C2×Q8).244D4 = C42.513C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).244D4128,2104
(C2×Q8).245D4 = C42.514C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).245D4128,2105
(C2×Q8).246D4 = C42.515C23φ: D4/C22 → C2 ⊆ Out C2×Q8128(C2xQ8).246D4128,2106
(C2×Q8).247D4 = C42.516C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).247D4128,2107
(C2×Q8).248D4 = D8⋊4Q8φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).248D4128,2116
(C2×Q8).249D4 = SD16⋊Q8φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).249D4128,2117
(C2×Q8).250D4 = SD16⋊2Q8φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).250D4128,2118
(C2×Q8).251D4 = Q16⋊4Q8φ: D4/C22 → C2 ⊆ Out C2×Q8128(C2xQ8).251D4128,2119
(C2×Q8).252D4 = C42.72C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).252D4128,2129
(C2×Q8).253D4 = C42.73C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).253D4128,2130
(C2×Q8).254D4 = C42.74C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).254D4128,2131
(C2×Q8).255D4 = C42.75C23φ: D4/C22 → C2 ⊆ Out C2×Q864(C2xQ8).255D4128,2132
(C2×Q8).256D4 = D8⋊C23φ: D4/C22 → C2 ⊆ Out C2×Q8168+(C2xQ8).256D4128,2317
(C2×Q8).257D4 = C4.C25φ: D4/C22 → C2 ⊆ Out C2×Q8328-(C2xQ8).257D4128,2318
(C2×Q8).258D4 = Q8×C22⋊C4φ: trivial image64(C2xQ8).258D4128,1072
(C2×Q8).259D4 = C23.223C24φ: trivial image64(C2xQ8).259D4128,1073
(C2×Q8).260D4 = Q8×C4⋊C4φ: trivial image128(C2xQ8).260D4128,1082
(C2×Q8).261D4 = C23.233C24φ: trivial image128(C2xQ8).261D4128,1083
(C2×Q8).262D4 = 2+ 1+4⋊5C4φ: trivial image32(C2xQ8).262D4128,1629
(C2×Q8).263D4 = 2- 1+4⋊4C4φ: trivial image64(C2xQ8).263D4128,1630
(C2×Q8).264D4 = C4○D4.7Q8φ: trivial image64(C2xQ8).264D4128,1644
(C2×Q8).265D4 = C4○D4.8Q8φ: trivial image64(C2xQ8).265D4128,1645
(C2×Q8).266D4 = Q8⋊4D8φ: trivial image64(C2xQ8).266D4128,2090
(C2×Q8).267D4 = Q8⋊7SD16φ: trivial image64(C2xQ8).267D4128,2091
(C2×Q8).268D4 = Q8⋊8SD16φ: trivial image64(C2xQ8).268D4128,2094
(C2×Q8).269D4 = Q8⋊5Q16φ: trivial image128(C2xQ8).269D4128,2095
(C2×Q8).270D4 = Q8×D8φ: trivial image64(C2xQ8).270D4128,2110
(C2×Q8).271D4 = Q8×SD16φ: trivial image64(C2xQ8).271D4128,2111
(C2×Q8).272D4 = Q8×Q16φ: trivial image128(C2xQ8).272D4128,2114
(C2×Q8).273D4 = Q8⋊5D8φ: trivial image64(C2xQ8).273D4128,2123
(C2×Q8).274D4 = Q8⋊9SD16φ: trivial image64(C2xQ8).274D4128,2124
(C2×Q8).275D4 = Q8⋊6Q16φ: trivial image128(C2xQ8).275D4128,2127
(C2×Q8).276D4 = C2×D4○D8φ: trivial image32(C2xQ8).276D4128,2313
(C2×Q8).277D4 = C2×D4○SD16φ: trivial image32(C2xQ8).277D4128,2314
(C2×Q8).278D4 = C2×Q8○D8φ: trivial image64(C2xQ8).278D4128,2315

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