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

Direct product G=N×Q with N=C2×C8⋊C4 and Q=C2
dρLabelID
C22×C8⋊C4128C2^2xC8:C4128,1602

Semidirect products G=N:Q with N=C2×C8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C8⋊C4)⋊1C2 = (C2×D8)⋊10C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):1C2128,704
(C2×C8⋊C4)⋊2C2 = C8⋊(C22⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):2C2128,705
(C2×C8⋊C4)⋊3C2 = C42.116D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C432(C2xC8:C4):3C2128,707
(C2×C8⋊C4)⋊4C2 = C2×SD16⋊C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):4C2128,1672
(C2×C8⋊C4)⋊5C2 = C2×D8⋊C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):5C2128,1674
(C2×C8⋊C4)⋊6C2 = C42.383D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):6C2128,1675
(C2×C8⋊C4)⋊7C2 = C2×C8.26D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C432(C2xC8:C4):7C2128,1686
(C2×C8⋊C4)⋊8C2 = C2×C8⋊3D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):8C2128,1880
(C2×C8⋊C4)⋊9C2 = C2×C8.2D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):9C2128,1881
(C2×C8⋊C4)⋊10C2 = C42.247D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):10C2128,1882
(C2×C8⋊C4)⋊11C2 = C42.257D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):11C2128,1912
(C2×C8⋊C4)⋊12C2 = C42.258D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):12C2128,1913
(C2×C8⋊C4)⋊13C2 = C2×C42.C22φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):13C2128,254
(C2×C8⋊C4)⋊14C2 = C42.66D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):14C2128,256
(C2×C8⋊C4)⋊15C2 = C42.67D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):15C2128,262
(C2×C8⋊C4)⋊16C2 = C42.69D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):16C2128,264
(C2×C8⋊C4)⋊17C2 = C42.378D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):17C2128,481
(C2×C8⋊C4)⋊18C2 = C42.379D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):18C2128,482
(C2×C8⋊C4)⋊19C2 = C23.36C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):19C2128,484
(C2×C8⋊C4)⋊20C2 = C23.17C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):20C2128,485
(C2×C8⋊C4)⋊21C2 = D4⋊C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):21C2128,494
(C2×C8⋊C4)⋊22C2 = D4.3C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊C432(C2xC8:C4):22C2128,497
(C2×C8⋊C4)⋊23C2 = C23.9M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):23C2128,656
(C2×C8⋊C4)⋊24C2 = C2.(C8⋊2D4)φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):24C2128,668
(C2×C8⋊C4)⋊25C2 = C42.107D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C432(C2xC8:C4):25C2128,670
(C2×C8⋊C4)⋊26C2 = C42.109D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):26C2128,687
(C2×C8⋊C4)⋊27C2 = C42.110D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):27C2128,691
(C2×C8⋊C4)⋊28C2 = C42.112D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):28C2128,693
(C2×C8⋊C4)⋊29C2 = D4.5C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):29C2128,1607
(C2×C8⋊C4)⋊30C2 = C2×C42.6C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):30C2128,1650
(C2×C8⋊C4)⋊31C2 = C2×C42.7C22φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):31C2128,1651
(C2×C8⋊C4)⋊32C2 = C42.261C23φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):32C2128,1655
(C2×C8⋊C4)⋊33C2 = C2×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):33C2128,1659
(C2×C8⋊C4)⋊34C2 = C42.266C23φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):34C2128,1664
(C2×C8⋊C4)⋊35C2 = C42.293C23φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):35C2128,1700
(C2×C8⋊C4)⋊36C2 = D4⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):36C2128,1702
(C2×C8⋊C4)⋊37C2 = C2×C42.28C22φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):37C2128,1864
(C2×C8⋊C4)⋊38C2 = C2×C42.29C22φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):38C2128,1865
(C2×C8⋊C4)⋊39C2 = C42.239D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4):39C2128,1867
(C2×C8⋊C4)⋊40C2 = C2×C4×M4(2)φ: trivial image64(C2xC8:C4):40C2128,1603
(C2×C8⋊C4)⋊41C2 = C2×C8○2M4(2)φ: trivial image64(C2xC8:C4):41C2128,1604

Non-split extensions G=N.Q with N=C2×C8⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C8⋊C4).1C2 = C8.5C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊C432(C2xC8:C4).1C2128,505
(C2×C8⋊C4).2C2 = C8⋊C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).2C2128,508
(C2×C8⋊C4).3C2 = C8.6C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4).3C2128,510
(C2×C8⋊C4).4C2 = C42.26Q8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).4C2128,579
(C2×C8⋊C4).5C2 = C42.106D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4).5C2128,581
(C2×C8⋊C4).6C2 = C4.(C4×Q8)φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).6C2128,675
(C2×C8⋊C4).7C2 = C8⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).7C2128,676
(C2×C8⋊C4).8C2 = C42.28Q8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C432(C2xC8:C4).8C2128,678
(C2×C8⋊C4).9C2 = (C2×Q16)⋊10C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).9C2128,703
(C2×C8⋊C4).10C2 = C2×Q16⋊C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).10C2128,1673
(C2×C8⋊C4).11C2 = C2×C8⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).11C2128,1893
(C2×C8⋊C4).12C2 = C42.252D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4).12C2128,1894
(C2×C8⋊C4).13C2 = C42.20D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4).13C2128,7
(C2×C8⋊C4).14C2 = C42.2Q8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4).14C2128,13
(C2×C8⋊C4).15C2 = C42.7Q8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).15C2128,27
(C2×C8⋊C4).16C2 = C42.370D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4).16C2128,34
(C2×C8⋊C4).17C2 = C42.2C8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C432(C2xC8:C4).17C2128,107
(C2×C8⋊C4).18C2 = M5(2)⋊C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4).18C2128,109
(C2×C8⋊C4).19C2 = C2×C42.2C22φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).19C2128,255
(C2×C8⋊C4).20C2 = C42.68D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4).20C2128,263
(C2×C8⋊C4).21C2 = C43.C2φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).21C2128,477
(C2×C8⋊C4).22C2 = (C4×C8)⋊12C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).22C2128,478
(C2×C8⋊C4).23C2 = Q8⋊C42φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).23C2128,495
(C2×C8⋊C4).24C2 = C43.7C2φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).24C2128,499
(C2×C8⋊C4).25C2 = C42.45Q8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).25C2128,500
(C2×C8⋊C4).26C2 = C4⋊C8⋊13C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).26C2128,502
(C2×C8⋊C4).27C2 = C4⋊C8⋊14C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).27C2128,503
(C2×C8⋊C4).28C2 = C42.24Q8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).28C2128,568
(C2×C8⋊C4).29C2 = C42.104D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4).29C2128,570
(C2×C8⋊C4).30C2 = (C2×C8).Q8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).30C2128,649
(C2×C8⋊C4).31C2 = C2.(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).31C2128,667
(C2×C8⋊C4).32C2 = C42.27Q8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).32C2128,672
(C2×C8⋊C4).33C2 = C42.111D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).33C2128,692
(C2×C8⋊C4).34C2 = C42.120D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).34C2128,717
(C2×C8⋊C4).35C2 = C42.124D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).35C2128,724
(C2×C8⋊C4).36C2 = C42.125D4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).36C2128,725
(C2×C8⋊C4).37C2 = C2×C16⋊C4φ: C2/C1 → C2 ⊆ Out C2×C8⋊C432(C2xC8:C4).37C2128,841
(C2×C8⋊C4).38C2 = C2×C8⋊4Q8φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).38C2128,1691
(C2×C8⋊C4).39C2 = C42.287C23φ: C2/C1 → C2 ⊆ Out C2×C8⋊C464(C2xC8:C4).39C2128,1693
(C2×C8⋊C4).40C2 = C2×C42.30C22φ: C2/C1 → C2 ⊆ Out C2×C8⋊C4128(C2xC8:C4).40C2128,1866
(C2×C8⋊C4).41C2 = C4×C8⋊C4φ: trivial image128(C2xC8:C4).41C2128,457
(C2×C8⋊C4).42C2 = C2.C43φ: trivial image128(C2xC8:C4).42C2128,458

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