# Extensions 1→N→G→Q→1 with N=C2×C4×C28 and Q=C2

Direct product G=N×Q with N=C2×C4×C28 and Q=C2
dρLabelID
C22×C4×C28448C2^2xC4xC28448,1294

Semidirect products G=N:Q with N=C2×C4×C28 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C4×C28)⋊1C2 = (C2×C42)⋊D7φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):1C2448,474
(C2×C4×C28)⋊2C2 = C22⋊C4×C28φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):2C2448,785
(C2×C4×C28)⋊3C2 = C7×C24.C22φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):3C2448,796
(C2×C4×C28)⋊4C2 = C2×C422D7φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):4C2448,931
(C2×C4×C28)⋊5C2 = C14×C42⋊C2φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):5C2448,1297
(C2×C4×C28)⋊6C2 = C14×C422C2φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):6C2448,1311
(C2×C4×C28)⋊7C2 = (C2×C4)⋊6D28φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):7C2448,473
(C2×C4×C28)⋊8C2 = C2×C284D4φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):8C2448,928
(C2×C4×C28)⋊9C2 = C2×C4.D28φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):9C2448,929
(C2×C4×C28)⋊10C2 = C2×Dic14⋊C4φ: C2/C1C2 ⊆ Aut C2×C4×C28112(C2xC4xC28):10C2448,461
(C2×C4×C28)⋊11C2 = C2×C4×D28φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):11C2448,926
(C2×C4×C28)⋊12C2 = C4×C4○D28φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):12C2448,927
(C2×C4×C28)⋊13C2 = C42.276D14φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):13C2448,930
(C2×C4×C28)⋊14C2 = C42.277D14φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):14C2448,932
(C2×C4×C28)⋊15C2 = C4×D14⋊C4φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):15C2448,472
(C2×C4×C28)⋊16C2 = D7×C2×C42φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):16C2448,924
(C2×C4×C28)⋊17C2 = C2×C42⋊D7φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):17C2448,925
(C2×C4×C28)⋊18C2 = C7×C24.3C22φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):18C2448,798
(C2×C4×C28)⋊19C2 = C14×C4≀C2φ: C2/C1C2 ⊆ Aut C2×C4×C28112(C2xC4xC28):19C2448,828
(C2×C4×C28)⋊20C2 = D4×C2×C28φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):20C2448,1298
(C2×C4×C28)⋊21C2 = C4○D4×C28φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):21C2448,1300
(C2×C4×C28)⋊22C2 = C14×C4.4D4φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):22C2448,1309
(C2×C4×C28)⋊23C2 = C7×C23.36C23φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):23C2448,1312
(C2×C4×C28)⋊24C2 = C14×C41D4φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):24C2448,1313
(C2×C4×C28)⋊25C2 = C7×C22.26C24φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28):25C2448,1315

Non-split extensions G=N.Q with N=C2×C4×C28 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C4×C28).1C2 = C7×C22.7C42φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).1C2448,140
(C2×C4×C28).2C2 = (C2×C42).D7φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).2C2448,467
(C2×C4×C28).3C2 = C425Dic7φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).3C2448,471
(C2×C4×C28).4C2 = C7×C424C4φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).4C2448,784
(C2×C4×C28).5C2 = C4⋊C4×C28φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).5C2448,786
(C2×C4×C28).6C2 = C7×C425C4φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).6C2448,791
(C2×C4×C28).7C2 = C7×C23.63C23φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).7C2448,795
(C2×C4×C28).8C2 = C14×C8⋊C4φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).8C2448,811
(C2×C4×C28).9C2 = C284(C4⋊C4)φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).9C2448,462
(C2×C4×C28).10C2 = (C2×C28)⋊10Q8φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).10C2448,463
(C2×C4×C28).11C2 = C428Dic7φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).11C2448,469
(C2×C4×C28).12C2 = C429Dic7φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).12C2448,470
(C2×C4×C28).13C2 = C2×C282Q8φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).13C2448,921
(C2×C4×C28).14C2 = C2×C28.6Q8φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).14C2448,922
(C2×C4×C28).15C2 = C28.8C42φ: C2/C1C2 ⊆ Aut C2×C4×C28112(C2xC4xC28).15C2448,80
(C2×C4×C28).16C2 = C4×C4.Dic7φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28).16C2448,456
(C2×C4×C28).17C2 = C2×C28⋊C8φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).17C2448,457
(C2×C4×C28).18C2 = C287M4(2)φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28).18C2448,458
(C2×C4×C28).19C2 = C42.6Dic7φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28).19C2448,459
(C2×C4×C28).20C2 = C42.7Dic7φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28).20C2448,460
(C2×C4×C28).21C2 = C4×C4⋊Dic7φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).21C2448,468
(C2×C4×C28).22C2 = C2×C4×Dic14φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).22C2448,920
(C2×C4×C28).23C2 = C42.274D14φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28).23C2448,923
(C2×C4×C28).24C2 = (C2×C28)⋊3C8φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).24C2448,81
(C2×C4×C28).25C2 = C2×C4×C7⋊C8φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).25C2448,454
(C2×C4×C28).26C2 = C2×C42.D7φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).26C2448,455
(C2×C4×C28).27C2 = C42×Dic7φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).27C2448,464
(C2×C4×C28).28C2 = C4×Dic7⋊C4φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).28C2448,465
(C2×C4×C28).29C2 = C424Dic7φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).29C2448,466
(C2×C4×C28).30C2 = C7×C426C4φ: C2/C1C2 ⊆ Aut C2×C4×C28112(C2xC4xC28).30C2448,143
(C2×C4×C28).31C2 = C7×C428C4φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).31C2448,790
(C2×C4×C28).32C2 = C7×C429C4φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).32C2448,792
(C2×C4×C28).33C2 = C7×C23.65C23φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).33C2448,797
(C2×C4×C28).34C2 = C7×C23.67C23φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).34C2448,799
(C2×C4×C28).35C2 = M4(2)×C28φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28).35C2448,812
(C2×C4×C28).36C2 = C14×C4⋊C8φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).36C2448,830
(C2×C4×C28).37C2 = C7×C4⋊M4(2)φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28).37C2448,831
(C2×C4×C28).38C2 = C7×C42.12C4φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28).38C2448,839
(C2×C4×C28).39C2 = C7×C42.6C4φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28).39C2448,840
(C2×C4×C28).40C2 = Q8×C2×C28φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).40C2448,1299
(C2×C4×C28).41C2 = C14×C42.C2φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).41C2448,1310
(C2×C4×C28).42C2 = C14×C4⋊Q8φ: C2/C1C2 ⊆ Aut C2×C4×C28448(C2xC4xC28).42C2448,1314
(C2×C4×C28).43C2 = C7×C23.37C23φ: C2/C1C2 ⊆ Aut C2×C4×C28224(C2xC4xC28).43C2448,1316

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