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Extensions 1→N→G→Q→1 with N=C14×C4⋊C4 and Q=C2

Direct product G=N×Q with N=C14×C4⋊C4 and Q=C2
dρLabelID
C4⋊C4×C2×C14448C4:C4xC2xC14448,1296

Semidirect products G=N:Q with N=C14×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C14×C4⋊C4)⋊1C2 = C2×C14.D8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):1C2448,499
(C14×C4⋊C4)⋊2C2 = C4○D28⋊C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):2C2448,500
(C14×C4⋊C4)⋊3C2 = (C2×C14).40D8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):3C2448,501
(C14×C4⋊C4)⋊4C2 = C4⋊C4.228D14φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):4C2448,502
(C14×C4⋊C4)⋊5C2 = C4⋊(D14⋊C4)φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):5C2448,521
(C14×C4⋊C4)⋊6C2 = (C2×D28)⋊10C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):6C2448,522
(C14×C4⋊C4)⋊7C2 = C2×D7×C4⋊C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):7C2448,954
(C14×C4⋊C4)⋊8C2 = C2×C4⋊C4⋊7D7φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):8C2448,955
(C14×C4⋊C4)⋊9C2 = C2×D28⋊C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):9C2448,956
(C14×C4⋊C4)⋊10C2 = C14.82+ 1+4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):10C2448,957
(C14×C4⋊C4)⋊11C2 = C2×D14.5D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):11C2448,958
(C14×C4⋊C4)⋊12C2 = C2×C4⋊D28φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):12C2448,959
(C14×C4⋊C4)⋊13C2 = C14.2- 1+4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):13C2448,960
(C14×C4⋊C4)⋊14C2 = C2×D14⋊Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):14C2448,961
(C14×C4⋊C4)⋊15C2 = C2×D14⋊2Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):15C2448,962
(C14×C4⋊C4)⋊16C2 = C14.2+ 1+4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):16C2448,963
(C14×C4⋊C4)⋊17C2 = C14.102+ 1+4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):17C2448,964
(C14×C4⋊C4)⋊18C2 = C2×C4⋊C4⋊D7φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):18C2448,965
(C14×C4⋊C4)⋊19C2 = C14.52- 1+4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):19C2448,966
(C14×C4⋊C4)⋊20C2 = C14.112+ 1+4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):20C2448,967
(C14×C4⋊C4)⋊21C2 = C14.62- 1+4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):21C2448,968
(C14×C4⋊C4)⋊22C2 = (C2×C4)⋊3D28φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):22C2448,525
(C14×C4⋊C4)⋊23C2 = (C2×C4).45D28φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):23C2448,528
(C14×C4⋊C4)⋊24C2 = D14⋊C4⋊6C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):24C2448,523
(C14×C4⋊C4)⋊25C2 = D14⋊C4⋊7C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):25C2448,524
(C14×C4⋊C4)⋊26C2 = (C2×C28).289D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):26C2448,526
(C14×C4⋊C4)⋊27C2 = (C2×C28).290D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):27C2448,527
(C14×C4⋊C4)⋊28C2 = C7×C23.7Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):28C2448,788
(C14×C4⋊C4)⋊29C2 = C7×C23.8Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):29C2448,793
(C14×C4⋊C4)⋊30C2 = C7×C24.C22φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):30C2448,796
(C14×C4⋊C4)⋊31C2 = C7×C24.3C22φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):31C2448,798
(C14×C4⋊C4)⋊32C2 = C7×C23.10D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):32C2448,802
(C14×C4⋊C4)⋊33C2 = C7×C23.Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):33C2448,804
(C14×C4⋊C4)⋊34C2 = C7×C23.11D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):34C2448,805
(C14×C4⋊C4)⋊35C2 = C7×C23.4Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):35C2448,807
(C14×C4⋊C4)⋊36C2 = C14×D4⋊C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):36C2448,822
(C14×C4⋊C4)⋊37C2 = C7×C23.36D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):37C2448,825
(C14×C4⋊C4)⋊38C2 = C7×C22.D8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):38C2448,888
(C14×C4⋊C4)⋊39C2 = C7×C23.46D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):39C2448,889
(C14×C4⋊C4)⋊40C2 = C7×C23.33C23φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):40C2448,1303
(C14×C4⋊C4)⋊41C2 = C14×C4⋊D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):41C2448,1305
(C14×C4⋊C4)⋊42C2 = C14×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):42C2448,1306
(C14×C4⋊C4)⋊43C2 = C14×C22.D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):43C2448,1307
(C14×C4⋊C4)⋊44C2 = C14×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):44C2448,1311
(C14×C4⋊C4)⋊45C2 = C7×C22.31C24φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):45C2448,1320
(C14×C4⋊C4)⋊46C2 = C7×C22.33C24φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):46C2448,1322
(C14×C4⋊C4)⋊47C2 = C7×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):47C2448,1330
(C14×C4⋊C4)⋊48C2 = C7×C22.46C24φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):48C2448,1335
(C14×C4⋊C4)⋊49C2 = C7×C22.47C24φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):49C2448,1336
(C14×C4⋊C4)⋊50C2 = C7×D4⋊3Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4):50C2448,1337
(C14×C4⋊C4)⋊51C2 = C14×C42⋊C2φ: trivial image224(C14xC4:C4):51C2448,1297
(C14×C4⋊C4)⋊52C2 = D4×C2×C28φ: trivial image224(C14xC4:C4):52C2448,1298

Non-split extensions G=N.Q with N=C14×C4⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C14×C4⋊C4).1C2 = C28.C42φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).1C2448,86
(C14×C4⋊C4).2C2 = C28.(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).2C2448,87
(C14×C4⋊C4).3C2 = C2×C28.Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).3C2448,496
(C14×C4⋊C4).4C2 = C2×C4.Dic14φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).4C2448,497
(C14×C4⋊C4).5C2 = C4.Dic7⋊C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).5C2448,498
(C14×C4⋊C4).6C2 = C2×C14.Q16φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).6C2448,503
(C14×C4⋊C4).7C2 = C4⋊C4.230D14φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).7C2448,504
(C14×C4⋊C4).8C2 = C4⋊C4.231D14φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).8C2448,505
(C14×C4⋊C4).9C2 = C28⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).9C2448,507
(C14×C4⋊C4).10C2 = (C2×Dic7)⋊6Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).10C2448,508
(C14×C4⋊C4).11C2 = C4⋊C4×Dic7φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).11C2448,509
(C14×C4⋊C4).12C2 = (C4×Dic7)⋊8C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).12C2448,510
(C14×C4⋊C4).13C2 = (C4×Dic7)⋊9C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).13C2448,511
(C14×C4⋊C4).14C2 = C4⋊C4⋊5Dic7φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).14C2448,515
(C14×C4⋊C4).15C2 = C4⋊(C4⋊Dic7)φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).15C2448,519
(C14×C4⋊C4).16C2 = C2×Dic7⋊3Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).16C2448,949
(C14×C4⋊C4).17C2 = C2×C28⋊Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).17C2448,950
(C14×C4⋊C4).18C2 = C2×Dic7.Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).18C2448,951
(C14×C4⋊C4).19C2 = C2×C28.3Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).19C2448,952
(C14×C4⋊C4).20C2 = C14.72+ 1+4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).20C2448,953
(C14×C4⋊C4).21C2 = (C2×C4)⋊Dic14φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).21C2448,513
(C14×C4⋊C4).22C2 = (C2×C4).44D28φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).22C2448,517
(C14×C4⋊C4).23C2 = (C2×C28).54D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).23C2448,518
(C14×C4⋊C4).24C2 = (C2×C28).55D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).24C2448,520
(C14×C4⋊C4).25C2 = (C2×C28)⋊C8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).25C2448,85
(C14×C4⋊C4).26C2 = Dic7⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).26C2448,506
(C14×C4⋊C4).27C2 = C22.23(Q8×D7)φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).27C2448,512
(C14×C4⋊C4).28C2 = C7×C22.M4(2)φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).28C2448,128
(C14×C4⋊C4).29C2 = C7×C22.4Q16φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).29C2448,144
(C14×C4⋊C4).30C2 = C7×C22.C42φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).30C2448,147
(C14×C4⋊C4).31C2 = (C2×C28).287D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).31C2448,514
(C14×C4⋊C4).32C2 = (C2×C28).288D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).32C2448,516
(C14×C4⋊C4).33C2 = C7×C42⋊8C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).33C2448,790
(C14×C4⋊C4).34C2 = C7×C42⋊9C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).34C2448,792
(C14×C4⋊C4).35C2 = C7×C23.63C23φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).35C2448,795
(C14×C4⋊C4).36C2 = C7×C23.65C23φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).36C2448,797
(C14×C4⋊C4).37C2 = C7×C23.67C23φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).37C2448,799
(C14×C4⋊C4).38C2 = C7×C23.78C23φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).38C2448,803
(C14×C4⋊C4).39C2 = C7×C23.81C23φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).39C2448,806
(C14×C4⋊C4).40C2 = C7×C23.83C23φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).40C2448,808
(C14×C4⋊C4).41C2 = C14×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).41C2448,823
(C14×C4⋊C4).42C2 = C14×C4.Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).42C2448,833
(C14×C4⋊C4).43C2 = C14×C2.D8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).43C2448,834
(C14×C4⋊C4).44C2 = C7×M4(2)⋊C4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).44C2448,836
(C14×C4⋊C4).45C2 = C7×C23.47D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).45C2448,891
(C14×C4⋊C4).46C2 = C7×C23.48D4φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).46C2448,892
(C14×C4⋊C4).47C2 = C14×C42.C2φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).47C2448,1310
(C14×C4⋊C4).48C2 = C14×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4448(C14xC4:C4).48C2448,1314
(C14×C4⋊C4).49C2 = C7×C23.41C23φ: C2/C1 → C2 ⊆ Out C14×C4⋊C4224(C14xC4:C4).49C2448,1327
(C14×C4⋊C4).50C2 = C4⋊C4×C28φ: trivial image448(C14xC4:C4).50C2448,786
(C14×C4⋊C4).51C2 = Q8×C2×C28φ: trivial image448(C14xC4:C4).51C2448,1299

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