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Extensions 1→N→G→Q→1 with N=C2×C22⋊C8 and Q=C2

Direct product G=N×Q with N=C2×C22⋊C8 and Q=C2
dρLabelID
C22×C22⋊C864C2^2xC2^2:C8128,1608

Semidirect products G=N:Q with N=C2×C22⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C8)⋊1C2 = C2×C23⋊C8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):1C2128,188
(C2×C22⋊C8)⋊2C2 = C23.8M4(2)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):2C2128,191
(C2×C22⋊C8)⋊3C2 = C23⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):3C2128,200
(C2×C22⋊C8)⋊4C2 = C24.(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):4C2128,203
(C2×C22⋊C8)⋊5C2 = C2×C22.SD16φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):5C2128,230
(C2×C22⋊C8)⋊6C2 = C24.53D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):6C2128,233
(C2×C22⋊C8)⋊7C2 = C24.59D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):7C2128,248
(C2×C22⋊C8)⋊8C2 = C24.60D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):8C2128,251
(C2×C22⋊C8)⋊9C2 = C24⋊3C8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):9C2128,511
(C2×C22⋊C8)⋊10C2 = C24.51(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):10C2128,512
(C2×C22⋊C8)⋊11C2 = C23.35D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):11C2128,518
(C2×C22⋊C8)⋊12C2 = C24.65D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):12C2128,520
(C2×C22⋊C8)⋊13C2 = C23.22M4(2)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):13C2128,601
(C2×C22⋊C8)⋊14C2 = C23.38D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):14C2128,606
(C2×C22⋊C8)⋊15C2 = C24.74D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):15C2128,607
(C2×C22⋊C8)⋊16C2 = C42.325D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):16C2128,686
(C2×C22⋊C8)⋊17C2 = C42.691C23φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):17C2128,1704
(C2×C22⋊C8)⋊18C2 = C23⋊2D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):18C2128,731
(C2×C22⋊C8)⋊19C2 = C24.83D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):19C2128,765
(C2×C22⋊C8)⋊20C2 = C2×C22⋊D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):20C2128,1728
(C2×C22⋊C8)⋊21C2 = C2×C22.D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):21C2128,1817
(C2×C22⋊C8)⋊22C2 = C23⋊3D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):22C2128,1918
(C2×C22⋊C8)⋊23C2 = C2×D4⋊D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):23C2128,1732
(C2×C22⋊C8)⋊24C2 = C2×D4.7D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):24C2128,1733
(C2×C22⋊C8)⋊25C2 = C24.103D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):25C2128,1734
(C2×C22⋊C8)⋊26C2 = C2×C23.19D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):26C2128,1819
(C2×C22⋊C8)⋊27C2 = C24.115D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):27C2128,1823
(C2×C22⋊C8)⋊28C2 = C24.121D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):28C2128,1920
(C2×C22⋊C8)⋊29C2 = C24.123D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):29C2128,1922
(C2×C22⋊C8)⋊30C2 = C24.124D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):30C2128,1923
(C2×C22⋊C8)⋊31C2 = C23⋊3SD16φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):31C2128,732
(C2×C22⋊C8)⋊32C2 = C24.84D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):32C2128,766
(C2×C22⋊C8)⋊33C2 = C2×C22⋊SD16φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):33C2128,1729
(C2×C22⋊C8)⋊34C2 = C2×Q8⋊D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):34C2128,1730
(C2×C22⋊C8)⋊35C2 = C2×C23.46D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):35C2128,1821
(C2×C22⋊C8)⋊36C2 = C23⋊4SD16φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):36C2128,1919
(C2×C22⋊C8)⋊37C2 = C23⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):37C2128,602
(C2×C22⋊C8)⋊38C2 = C42.109D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):38C2128,687
(C2×C22⋊C8)⋊39C2 = C2×C24.4C4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):39C2128,1609
(C2×C22⋊C8)⋊40C2 = C2×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):40C2128,1610
(C2×C22⋊C8)⋊41C2 = D4○(C22⋊C8)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):41C2128,1612
(C2×C22⋊C8)⋊42C2 = C2×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):42C2128,1659
(C2×C22⋊C8)⋊43C2 = C2×C8⋊6D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8):43C2128,1660
(C2×C22⋊C8)⋊44C2 = M4(2)⋊22D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):44C2128,1665
(C2×C22⋊C8)⋊45C2 = C23⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):45C2128,1705
(C2×C22⋊C8)⋊46C2 = D4⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):46C2128,1706
(C2×C22⋊C8)⋊47C2 = C42.297C23φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):47C2128,1708
(C2×C22⋊C8)⋊48C2 = C42.298C23φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8):48C2128,1709
(C2×C22⋊C8)⋊49C2 = D4×C2×C8φ: trivial image64(C2xC2^2:C8):49C2128,1658

Non-split extensions G=N.Q with N=C2×C22⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C22⋊C8).1C2 = C23.19C42φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).1C2128,12
(C2×C22⋊C8).2C2 = C23.21C42φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).2C2128,14
(C2×C22⋊C8).3C2 = C23.8D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).3C2128,21
(C2×C22⋊C8).4C2 = C24.2Q8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).4C2128,25
(C2×C22⋊C8).5C2 = C23.30D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).5C2128,26
(C2×C22⋊C8).6C2 = C24.3Q8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).6C2128,30
(C2×C22⋊C8).7C2 = C23⋊C16φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).7C2128,46
(C2×C22⋊C8).8C2 = C2×C22.M4(2)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).8C2128,189
(C2×C22⋊C8).9C2 = C24.45(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).9C2128,204
(C2×C22⋊C8).10C2 = C2×C23.31D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).10C2128,231
(C2×C22⋊C8).11C2 = C24.61D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).11C2128,252
(C2×C22⋊C8).12C2 = C24.155D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).12C2128,519
(C2×C22⋊C8).13C2 = C42.425D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).13C2128,529
(C2×C22⋊C8).14C2 = C42.95D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).14C2128,530
(C2×C22⋊C8).15C2 = C23.32M4(2)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).15C2128,549
(C2×C22⋊C8).16C2 = C24.53(C2×C4)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).16C2128,550
(C2×C22⋊C8).17C2 = C23.36D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).17C2128,555
(C2×C22⋊C8).18C2 = C24.157D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).18C2128,556
(C2×C22⋊C8).19C2 = C24.69D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).19C2128,557
(C2×C22⋊C8).20C2 = C23.21M4(2)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).20C2128,582
(C2×C22⋊C8).21C2 = (C2×C8).195D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).21C2128,583
(C2×C22⋊C8).22C2 = C24.160D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).22C2128,604
(C2×C22⋊C8).23C2 = C24.73D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).23C2128,605
(C2×C22⋊C8).24C2 = C22⋊C4⋊4C8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).24C2128,655
(C2×C22⋊C8).25C2 = C23.37D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).25C2128,584
(C2×C22⋊C8).26C2 = C23⋊2Q16φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).26C2128,733
(C2×C22⋊C8).27C2 = C24.86D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).27C2128,768
(C2×C22⋊C8).28C2 = C23.12D8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).28C2128,807
(C2×C22⋊C8).29C2 = C24.88D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).29C2128,808
(C2×C22⋊C8).30C2 = C2×C22⋊Q16φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).30C2128,1731
(C2×C22⋊C8).31C2 = C2×C23.48D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).31C2128,1822
(C2×C22⋊C8).32C2 = C23⋊3Q16φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).32C2128,1921
(C2×C22⋊C8).33C2 = C24.71D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).33C2128,586
(C2×C22⋊C8).34C2 = C24.10Q8φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).34C2128,587
(C2×C22⋊C8).35C2 = C2×C23.20D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).35C2128,1820
(C2×C22⋊C8).36C2 = C24.159D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).36C2128,585
(C2×C22⋊C8).37C2 = C24.85D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).37C2128,767
(C2×C22⋊C8).38C2 = C24.89D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).38C2128,809
(C2×C22⋊C8).39C2 = C2×C23.47D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).39C2128,1818
(C2×C22⋊C8).40C2 = C42.378D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).40C2128,481
(C2×C22⋊C8).41C2 = C42.379D4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).41C2128,482
(C2×C22⋊C8).42C2 = C23.36C42φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).42C2128,484
(C2×C22⋊C8).43C2 = C23.17C42φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).43C2128,485
(C2×C22⋊C8).44C2 = C23.9M4(2)φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).44C2128,656
(C2×C22⋊C8).45C2 = C2×C42.6C4φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).45C2128,1650
(C2×C22⋊C8).46C2 = C2×C42.7C22φ: C2/C1 → C2 ⊆ Out C2×C22⋊C864(C2xC2^2:C8).46C2128,1651
(C2×C22⋊C8).47C2 = C42.262C23φ: C2/C1 → C2 ⊆ Out C2×C22⋊C832(C2xC2^2:C8).47C2128,1656
(C2×C22⋊C8).48C2 = C4×C22⋊C8φ: trivial image64(C2xC2^2:C8).48C2128,480
(C2×C22⋊C8).49C2 = C8×C22⋊C4φ: trivial image64(C2xC2^2:C8).49C2128,483
(C2×C22⋊C8).50C2 = C2×C42.12C4φ: trivial image64(C2xC2^2:C8).50C2128,1649

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