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Extensions 1→N→G→Q→1 with N=C2×C4⋊C8 and Q=C2

Direct product G=N×Q with N=C2×C4⋊C8 and Q=C2
dρLabelID
C22×C4⋊C8128C2^2xC4:C8128,1634

Semidirect products G=N:Q with N=C2×C4⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊C8)⋊1C2 = C2×D4⋊C8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):1C2128,206
(C2×C4⋊C8)⋊2C2 = C42.397D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):2C2128,209
(C2×C4⋊C8)⋊3C2 = C42.45D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):3C2128,212
(C2×C4⋊C8)⋊4C2 = C42.47D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):4C2128,215
(C2×C4⋊C8)⋊5C2 = C2×C4.D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):5C2128,270
(C2×C4⋊C8)⋊6C2 = C42.409D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):6C2128,272
(C2×C4⋊C8)⋊7C2 = C42.78D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):7C2128,279
(C2×C4⋊C8)⋊8C2 = C42.80D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):8C2128,283
(C2×C4⋊C8)⋊9C2 = C42.425D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):9C2128,529
(C2×C4⋊C8)⋊10C2 = C42.95D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):10C2128,530
(C2×C4⋊C8)⋊11C2 = C42.98D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):11C2128,534
(C2×C4⋊C8)⋊12C2 = C42.100D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):12C2128,536
(C2×C4⋊C8)⋊13C2 = C23.21M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):13C2128,582
(C2×C4⋊C8)⋊14C2 = C22⋊C4⋊4C8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):14C2128,655
(C2×C4⋊C8)⋊15C2 = C42.325D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):15C2128,686
(C2×C4⋊C8)⋊16C2 = C42.109D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):16C2128,687
(C2×C4⋊C8)⋊17C2 = C42.118D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):17C2128,714
(C2×C4⋊C8)⋊18C2 = C42.119D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):18C2128,715
(C2×C4⋊C8)⋊19C2 = C42.697C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):19C2128,1720
(C2×C4⋊C8)⋊20C2 = (C2×C4)⋊3D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):20C2128,786
(C2×C4⋊C8)⋊21C2 = (C2×C4).23D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):21C2128,799
(C2×C4⋊C8)⋊22C2 = C2×C4⋊D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):22C2128,1761
(C2×C4⋊C8)⋊23C2 = C2×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):23C2128,1802
(C2×C4⋊C8)⋊24C2 = C42.293D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):24C2128,1977
(C2×C4⋊C8)⋊25C2 = C2×D4.2D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):25C2128,1763
(C2×C4⋊C8)⋊26C2 = C2×Q8.D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):26C2128,1766
(C2×C4⋊C8)⋊27C2 = C42.443D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):27C2128,1767
(C2×C4⋊C8)⋊28C2 = C2×D4.Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):28C2128,1804
(C2×C4⋊C8)⋊29C2 = C42.447D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):29C2128,1808
(C2×C4⋊C8)⋊30C2 = C42.295D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):30C2128,1979
(C2×C4⋊C8)⋊31C2 = C42.296D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):31C2128,1980
(C2×C4⋊C8)⋊32C2 = C42.298D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):32C2128,1982
(C2×C4⋊C8)⋊33C2 = (C2×C4)⋊5SD16φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):33C2128,787
(C2×C4⋊C8)⋊34C2 = C4⋊C4.106D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):34C2128,797
(C2×C4⋊C8)⋊35C2 = C2×D4.D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):35C2128,1762
(C2×C4⋊C8)⋊36C2 = C2×C4⋊SD16φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):36C2128,1764
(C2×C4⋊C8)⋊37C2 = C2×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):37C2128,1803
(C2×C4⋊C8)⋊38C2 = C42.294D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):38C2128,1978
(C2×C4⋊C8)⋊39C2 = (C2×C8).195D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):39C2128,583
(C2×C4⋊C8)⋊40C2 = C23.9M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):40C2128,656
(C2×C4⋊C8)⋊41C2 = C2×C4⋊M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):41C2128,1635
(C2×C4⋊C8)⋊42C2 = C2×C42.6C22φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):42C2128,1636
(C2×C4⋊C8)⋊43C2 = C42.674C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):43C2128,1638
(C2×C4⋊C8)⋊44C2 = C2×C42.6C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):44C2128,1650
(C2×C4⋊C8)⋊45C2 = C2×C42.7C22φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):45C2128,1651
(C2×C4⋊C8)⋊46C2 = C42.678C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):46C2128,1657
(C2×C4⋊C8)⋊47C2 = C2×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):47C2128,1659
(C2×C4⋊C8)⋊48C2 = C2×C8⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):48C2128,1660
(C2×C4⋊C8)⋊49C2 = M4(2)⋊23D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):49C2128,1667
(C2×C4⋊C8)⋊50C2 = C42.698C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):50C2128,1721
(C2×C4⋊C8)⋊51C2 = D4⋊8M4(2)φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):51C2128,1722
(C2×C4⋊C8)⋊52C2 = C42.307C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):52C2128,1724
(C2×C4⋊C8)⋊53C2 = C42.309C23φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8):53C2128,1726
(C2×C4⋊C8)⋊54C2 = C2×C42.12C4φ: trivial image64(C2xC4:C8):54C2128,1649
(C2×C4⋊C8)⋊55C2 = D4×C2×C8φ: trivial image64(C2xC4:C8):55C2128,1658

Non-split extensions G=N.Q with N=C2×C4⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊C8).1C2 = C42.385D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).1C2128,9
(C2×C4⋊C8).2C2 = C42.46Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).2C2128,11
(C2×C4⋊C8).3C2 = C42.3Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).3C2128,15
(C2×C4⋊C8).4C2 = C42.25D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).4C2128,22
(C2×C4⋊C8).5C2 = C42.27D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).5C2128,24
(C2×C4⋊C8).6C2 = C42.8Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).6C2128,28
(C2×C4⋊C8).7C2 = C42.389D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).7C2128,33
(C2×C4⋊C8).8C2 = C22.M5(2)φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).8C2128,54
(C2×C4⋊C8).9C2 = C2×Q8⋊C8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).9C2128,207
(C2×C4⋊C8).10C2 = C42.46D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).10C2128,213
(C2×C4⋊C8).11C2 = C2×C4.10D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).11C2128,271
(C2×C4⋊C8).12C2 = C2×C4.6Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).12C2128,273
(C2×C4⋊C8).13C2 = C42.410D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).13C2128,274
(C2×C4⋊C8).14C2 = C42.79D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).14C2128,282
(C2×C4⋊C8).15C2 = C42.81D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).15C2128,284
(C2×C4⋊C8).16C2 = C2×C8⋊2C8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).16C2128,294
(C2×C4⋊C8).17C2 = C2×C8⋊1C8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).17C2128,295
(C2×C4⋊C8).18C2 = M4(2)⋊1C8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).18C2128,297
(C2×C4⋊C8).19C2 = C42.90D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).19C2128,302
(C2×C4⋊C8).20C2 = C42.91D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).20C2128,303
(C2×C4⋊C8).21C2 = C42.92D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).21C2128,305
(C2×C4⋊C8).22C2 = C42.99D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).22C2128,535
(C2×C4⋊C8).23C2 = C42.101D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).23C2128,537
(C2×C4⋊C8).24C2 = C42⋊8C8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).24C2128,563
(C2×C4⋊C8).25C2 = C42.23Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).25C2128,564
(C2×C4⋊C8).26C2 = C42⋊9C8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).26C2128,574
(C2×C4⋊C8).27C2 = C42.25Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).27C2128,575
(C2×C4⋊C8).28C2 = C4⋊C4⋊3C8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).28C2128,648
(C2×C4⋊C8).29C2 = C42.61Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).29C2128,671
(C2×C4⋊C8).30C2 = C42.117D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).30C2128,713
(C2×C4⋊C8).31C2 = C42.327D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).31C2128,716
(C2×C4⋊C8).32C2 = C42.120D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).32C2128,717
(C2×C4⋊C8).33C2 = C42.121D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).33C2128,719
(C2×C4⋊C8).34C2 = C42.122D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).34C2128,720
(C2×C4⋊C8).35C2 = C42.123D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).35C2128,721
(C2×C4⋊C8).36C2 = C42.29Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).36C2128,679
(C2×C4⋊C8).37C2 = (C2×C4)⋊3Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).37C2128,788
(C2×C4⋊C8).38C2 = (C2×C8).52D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).38C2128,800
(C2×C4⋊C8).39C2 = (C2×C4).26D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).39C2128,818
(C2×C4⋊C8).40C2 = (C2×C4).21Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).40C2128,819
(C2×C4⋊C8).41C2 = C2×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).41C2128,1765
(C2×C4⋊C8).42C2 = C2×C4.Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).42C2128,1806
(C2×C4⋊C8).43C2 = C42.297D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).43C2128,1981
(C2×C4⋊C8).44C2 = C42.31Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).44C2128,681
(C2×C4⋊C8).45C2 = C42.430D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).45C2128,682
(C2×C4⋊C8).46C2 = C2×Q8.Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).46C2128,1807
(C2×C4⋊C8).47C2 = C42.30Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).47C2128,680
(C2×C4⋊C8).48C2 = (C2×Q8).8Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).48C2128,798
(C2×C4⋊C8).49C2 = C4.(C4⋊Q8)φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).49C2128,820
(C2×C4⋊C8).50C2 = C2×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).50C2128,1805
(C2×C4⋊C8).51C2 = C43.7C2φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).51C2128,499
(C2×C4⋊C8).52C2 = C42.45Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).52C2128,500
(C2×C4⋊C8).53C2 = C4⋊C8⋊13C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).53C2128,502
(C2×C4⋊C8).54C2 = C4⋊C8⋊14C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).54C2128,503
(C2×C4⋊C8).55C2 = (C2×C8).Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).55C2128,649
(C2×C4⋊C8).56C2 = C42.27Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).56C2128,672
(C2×C4⋊C8).57C2 = C2×C8⋊4Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C8128(C2xC4:C8).57C2128,1691
(C2×C4⋊C8).58C2 = M4(2)⋊9Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊C864(C2xC4:C8).58C2128,1694
(C2×C4⋊C8).59C2 = C4×C4⋊C8φ: trivial image128(C2xC4:C8).59C2128,498
(C2×C4⋊C8).60C2 = C8×C4⋊C4φ: trivial image128(C2xC4:C8).60C2128,501
(C2×C4⋊C8).61C2 = Q8×C2×C8φ: trivial image128(C2xC4:C8).61C2128,1690

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