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Extensions 1→N→G→Q→1 with N=C2xC4xC28 and Q=C2

Direct product G=NxQ with N=C2xC4xC28 and Q=C2
dρLabelID
C22xC4xC28448C2^2xC4xC28448,1294

Semidirect products G=N:Q with N=C2xC4xC28 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC4xC28):1C2 = (C2xC42):D7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):1C2448,474
(C2xC4xC28):2C2 = C22:C4xC28φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):2C2448,785
(C2xC4xC28):3C2 = C7xC24.C22φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):3C2448,796
(C2xC4xC28):4C2 = C2xC42:2D7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):4C2448,931
(C2xC4xC28):5C2 = C14xC42:C2φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):5C2448,1297
(C2xC4xC28):6C2 = C14xC42:2C2φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):6C2448,1311
(C2xC4xC28):7C2 = (C2xC4):6D28φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):7C2448,473
(C2xC4xC28):8C2 = C2xC28:4D4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):8C2448,928
(C2xC4xC28):9C2 = C2xC4.D28φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):9C2448,929
(C2xC4xC28):10C2 = C2xDic14:C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28112(C2xC4xC28):10C2448,461
(C2xC4xC28):11C2 = C2xC4xD28φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):11C2448,926
(C2xC4xC28):12C2 = C4xC4oD28φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):12C2448,927
(C2xC4xC28):13C2 = C42.276D14φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):13C2448,930
(C2xC4xC28):14C2 = C42.277D14φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):14C2448,932
(C2xC4xC28):15C2 = C4xD14:C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):15C2448,472
(C2xC4xC28):16C2 = D7xC2xC42φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):16C2448,924
(C2xC4xC28):17C2 = C2xC42:D7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):17C2448,925
(C2xC4xC28):18C2 = C7xC24.3C22φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):18C2448,798
(C2xC4xC28):19C2 = C14xC4wrC2φ: C2/C1 → C2 ⊆ Aut C2xC4xC28112(C2xC4xC28):19C2448,828
(C2xC4xC28):20C2 = D4xC2xC28φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):20C2448,1298
(C2xC4xC28):21C2 = C4oD4xC28φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):21C2448,1300
(C2xC4xC28):22C2 = C14xC4.4D4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):22C2448,1309
(C2xC4xC28):23C2 = C7xC23.36C23φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):23C2448,1312
(C2xC4xC28):24C2 = C14xC4:1D4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):24C2448,1313
(C2xC4xC28):25C2 = C7xC22.26C24φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28):25C2448,1315

Non-split extensions G=N.Q with N=C2xC4xC28 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2xC4xC28).1C2 = C7xC22.7C42φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).1C2448,140
(C2xC4xC28).2C2 = (C2xC42).D7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).2C2448,467
(C2xC4xC28).3C2 = C42:5Dic7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).3C2448,471
(C2xC4xC28).4C2 = C7xC42:4C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).4C2448,784
(C2xC4xC28).5C2 = C4:C4xC28φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).5C2448,786
(C2xC4xC28).6C2 = C7xC42:5C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).6C2448,791
(C2xC4xC28).7C2 = C7xC23.63C23φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).7C2448,795
(C2xC4xC28).8C2 = C14xC8:C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).8C2448,811
(C2xC4xC28).9C2 = C28:4(C4:C4)φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).9C2448,462
(C2xC4xC28).10C2 = (C2xC28):10Q8φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).10C2448,463
(C2xC4xC28).11C2 = C42:8Dic7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).11C2448,469
(C2xC4xC28).12C2 = C42:9Dic7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).12C2448,470
(C2xC4xC28).13C2 = C2xC28:2Q8φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).13C2448,921
(C2xC4xC28).14C2 = C2xC28.6Q8φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).14C2448,922
(C2xC4xC28).15C2 = C28.8C42φ: C2/C1 → C2 ⊆ Aut C2xC4xC28112(C2xC4xC28).15C2448,80
(C2xC4xC28).16C2 = C4xC4.Dic7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28).16C2448,456
(C2xC4xC28).17C2 = C2xC28:C8φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).17C2448,457
(C2xC4xC28).18C2 = C28:7M4(2)φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28).18C2448,458
(C2xC4xC28).19C2 = C42.6Dic7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28).19C2448,459
(C2xC4xC28).20C2 = C42.7Dic7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28).20C2448,460
(C2xC4xC28).21C2 = C4xC4:Dic7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).21C2448,468
(C2xC4xC28).22C2 = C2xC4xDic14φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).22C2448,920
(C2xC4xC28).23C2 = C42.274D14φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28).23C2448,923
(C2xC4xC28).24C2 = (C2xC28):3C8φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).24C2448,81
(C2xC4xC28).25C2 = C2xC4xC7:C8φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).25C2448,454
(C2xC4xC28).26C2 = C2xC42.D7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).26C2448,455
(C2xC4xC28).27C2 = C42xDic7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).27C2448,464
(C2xC4xC28).28C2 = C4xDic7:C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).28C2448,465
(C2xC4xC28).29C2 = C42:4Dic7φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).29C2448,466
(C2xC4xC28).30C2 = C7xC42:6C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28112(C2xC4xC28).30C2448,143
(C2xC4xC28).31C2 = C7xC42:8C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).31C2448,790
(C2xC4xC28).32C2 = C7xC42:9C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).32C2448,792
(C2xC4xC28).33C2 = C7xC23.65C23φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).33C2448,797
(C2xC4xC28).34C2 = C7xC23.67C23φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).34C2448,799
(C2xC4xC28).35C2 = M4(2)xC28φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28).35C2448,812
(C2xC4xC28).36C2 = C14xC4:C8φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).36C2448,830
(C2xC4xC28).37C2 = C7xC4:M4(2)φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28).37C2448,831
(C2xC4xC28).38C2 = C7xC42.12C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28).38C2448,839
(C2xC4xC28).39C2 = C7xC42.6C4φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28).39C2448,840
(C2xC4xC28).40C2 = Q8xC2xC28φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).40C2448,1299
(C2xC4xC28).41C2 = C14xC42.C2φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).41C2448,1310
(C2xC4xC28).42C2 = C14xC4:Q8φ: C2/C1 → C2 ⊆ Aut C2xC4xC28448(C2xC4xC28).42C2448,1314
(C2xC4xC28).43C2 = C7xC23.37C23φ: C2/C1 → C2 ⊆ Aut C2xC4xC28224(C2xC4xC28).43C2448,1316

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