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Extensions 1→N→G→Q→1 with N=C2×C4⋊Dic7 and Q=C2

Direct product G=N×Q with N=C2×C4⋊Dic7 and Q=C2
dρLabelID
C22×C4⋊Dic7448C2^2xC4:Dic7448,1238

Semidirect products G=N:Q with N=C2×C4⋊Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊Dic7)⋊1C2 = D14⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):1C2448,202
(C2×C4⋊Dic7)⋊2C2 = C2.(C4×D28)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):2C2448,204
(C2×C4⋊Dic7)⋊3C2 = (C2×C4).21D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):3C2448,208
(C2×C4⋊Dic7)⋊4C2 = (C2×C28).33D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):4C2448,211
(C2×C4⋊Dic7)⋊5C2 = C23.38D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):5C2448,269
(C2×C4⋊Dic7)⋊6C2 = C22.D56φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):6C2448,270
(C2×C4⋊Dic7)⋊7C2 = (C2×C4)⋊6D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):7C2448,473
(C2×C4⋊Dic7)⋊8C2 = C24.6D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):8C2448,482
(C2×C4⋊Dic7)⋊9C2 = C24.7D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):9C2448,483
(C2×C4⋊Dic7)⋊10C2 = C24.47D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):10C2448,484
(C2×C4⋊Dic7)⋊11C2 = C24.8D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):11C2448,485
(C2×C4⋊Dic7)⋊12C2 = C24.10D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):12C2448,487
(C2×C4⋊Dic7)⋊13C2 = C23.16D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):13C2448,495
(C2×C4⋊Dic7)⋊14C2 = (C2×C4).45D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):14C2448,528
(C2×C4⋊Dic7)⋊15C2 = C2×C2.D56φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):15C2448,646
(C2×C4⋊Dic7)⋊16C2 = C23.27D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):16C2448,746
(C2×C4⋊Dic7)⋊17C2 = C2×C22⋊Dic14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):17C2448,934
(C2×C4⋊Dic7)⋊18C2 = C2×C23.D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):18C2448,935
(C2×C4⋊Dic7)⋊19C2 = C2×D14.D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):19C2448,941
(C2×C4⋊Dic7)⋊20C2 = C2×C22.D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):20C2448,945
(C2×C4⋊Dic7)⋊21C2 = C2×D14⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):21C2448,962
(C2×C4⋊Dic7)⋊22C2 = C2×C4⋊C4⋊D7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):22C2448,965
(C2×C4⋊Dic7)⋊23C2 = C42.105D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):23C2448,994
(C2×C4⋊Dic7)⋊24C2 = D4⋊6Dic14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):24C2448,996
(C2×C4⋊Dic7)⋊25C2 = D4⋊6D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):25C2448,1008
(C2×C4⋊Dic7)⋊26C2 = C42.119D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):26C2448,1018
(C2×C4⋊Dic7)⋊27C2 = C14.852- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):27C2448,1118
(C2×C4⋊Dic7)⋊28C2 = C2×C28.48D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):28C2448,1237
(C2×C4⋊Dic7)⋊29C2 = C2×C28⋊7D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):29C2448,1243
(C2×C4⋊Dic7)⋊30C2 = C4⋊(D14⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):30C2448,521
(C2×C4⋊Dic7)⋊31C2 = (C2×C14).D8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):31C2448,567
(C2×C4⋊Dic7)⋊32C2 = C4⋊D4.D7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):32C2448,568
(C2×C4⋊Dic7)⋊33C2 = C23.49D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):33C2448,667
(C2×C4⋊Dic7)⋊34C2 = C2×D4⋊Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):34C2448,748
(C2×C4⋊Dic7)⋊35C2 = C24.19D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):35C2448,755
(C2×C4⋊Dic7)⋊36C2 = C4○D4⋊Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):36C2448,766
(C2×C4⋊Dic7)⋊37C2 = C2×D7×C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):37C2448,954
(C2×C4⋊Dic7)⋊38C2 = C2×C4⋊C4⋊7D7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):38C2448,955
(C2×C4⋊Dic7)⋊39C2 = C42.91D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):39C2448,976
(C2×C4⋊Dic7)⋊40C2 = C14.732- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):40C2448,1064
(C2×C4⋊Dic7)⋊41C2 = C14.1152+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):41C2448,1071
(C2×C4⋊Dic7)⋊42C2 = C14.1182+ 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):42C2448,1088
(C2×C4⋊Dic7)⋊43C2 = C14.772- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):43C2448,1095
(C2×C4⋊Dic7)⋊44C2 = C2×D4×Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):44C2448,1248
(C2×C4⋊Dic7)⋊45C2 = C2×C28⋊2D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):45C2448,1253
(C2×C4⋊Dic7)⋊46C2 = C2×D14⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):46C2448,1266
(C2×C4⋊Dic7)⋊47C2 = C14.1062- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):47C2448,1280
(C2×C4⋊Dic7)⋊48C2 = C14.1082- 1+4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7):48C2448,1286
(C2×C4⋊Dic7)⋊49C2 = C2×C4×D28φ: trivial image224(C2xC4:Dic7):49C2448,926
(C2×C4⋊Dic7)⋊50C2 = C2×C23.21D14φ: trivial image224(C2xC4:Dic7):50C2448,1239

Non-split extensions G=N.Q with N=C2×C4⋊Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4⋊Dic7).1C2 = C28.9C42φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).1C2448,108
(C2×C4⋊Dic7).2C2 = C14.(C4×Q8)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).2C2448,181
(C2×C4⋊Dic7).3C2 = C4⋊Dic7⋊7C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).3C2448,187
(C2×C4⋊Dic7).4C2 = C4⋊Dic7⋊8C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).4C2448,188
(C2×C4⋊Dic7).5C2 = C14.(C4×D4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).5C2448,189
(C2×C4⋊Dic7).6C2 = (C2×Dic7)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).6C2448,190
(C2×C4⋊Dic7).7C2 = C2.(C28⋊Q8)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).7C2448,191
(C2×C4⋊Dic7).8C2 = (C2×C28).28D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).8C2448,193
(C2×C4⋊Dic7).9C2 = (C2×C4).Dic14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).9C2448,194
(C2×C4⋊Dic7).10C2 = C14.(C4⋊Q8)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).10C2448,195
(C2×C4⋊Dic7).11C2 = C23.34D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7).11C2448,255
(C2×C4⋊Dic7).12C2 = C23.35D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7).12C2448,256
(C2×C4⋊Dic7).13C2 = C28⋊4(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).13C2448,462
(C2×C4⋊Dic7).14C2 = (C2×C28)⋊10Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).14C2448,463
(C2×C4⋊Dic7).15C2 = C42⋊8Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).15C2448,469
(C2×C4⋊Dic7).16C2 = C42⋊9Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).16C2448,470
(C2×C4⋊Dic7).17C2 = C4⋊C4⋊5Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).17C2448,515
(C2×C4⋊Dic7).18C2 = (C2×C4).44D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).18C2448,517
(C2×C4⋊Dic7).19C2 = (C2×C28).54D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).19C2448,518
(C2×C4⋊Dic7).20C2 = (C2×C28).55D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).20C2448,520
(C2×C4⋊Dic7).21C2 = C2×C28.44D4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).21C2448,637
(C2×C4⋊Dic7).22C2 = C2×C8⋊Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).22C2448,638
(C2×C4⋊Dic7).23C2 = C2×C56⋊1C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).23C2448,639
(C2×C4⋊Dic7).24C2 = C2×C28⋊2Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).24C2448,921
(C2×C4⋊Dic7).25C2 = C2×C28.6Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).25C2448,922
(C2×C4⋊Dic7).26C2 = C2×Dic7.Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).26C2448,951
(C2×C4⋊Dic7).27C2 = C28.C42φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).27C2448,86
(C2×C4⋊Dic7).28C2 = M4(2)⋊Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7).28C2448,111
(C2×C4⋊Dic7).29C2 = C2×C28.Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).29C2448,496
(C2×C4⋊Dic7).30C2 = C2×C4.Dic14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).30C2448,497
(C2×C4⋊Dic7).31C2 = C28⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).31C2448,507
(C2×C4⋊Dic7).32C2 = C4⋊C4×Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).32C2448,509
(C2×C4⋊Dic7).33C2 = (C4×Dic7)⋊8C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).33C2448,510
(C2×C4⋊Dic7).34C2 = (C4×Dic7)⋊9C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).34C2448,511
(C2×C4⋊Dic7).35C2 = C4⋊(C4⋊Dic7)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).35C2448,519
(C2×C4⋊Dic7).36C2 = C28.(C2×Q8)φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7).36C2448,529
(C2×C4⋊Dic7).37C2 = C22⋊Q8.D7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7).37C2448,577
(C2×C4⋊Dic7).38C2 = (C2×C14).Q16φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7).38C2448,578
(C2×C4⋊Dic7).39C2 = C23.47D28φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7).39C2448,655
(C2×C4⋊Dic7).40C2 = C2×Q8⋊Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).40C2448,758
(C2×C4⋊Dic7).41C2 = (Q8×C14)⋊7C4φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).41C2448,764
(C2×C4⋊Dic7).42C2 = C2×C28⋊Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).42C2448,950
(C2×C4⋊Dic7).43C2 = C2×C28.3Q8φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).43C2448,952
(C2×C4⋊Dic7).44C2 = C42.90D14φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7224(C2xC4:Dic7).44C2448,972
(C2×C4⋊Dic7).45C2 = C2×Q8×Dic7φ: C2/C1 → C2 ⊆ Out C2×C4⋊Dic7448(C2xC4:Dic7).45C2448,1264
(C2×C4⋊Dic7).46C2 = C4×C4⋊Dic7φ: trivial image448(C2xC4:Dic7).46C2448,468
(C2×C4⋊Dic7).47C2 = C2×C4×Dic14φ: trivial image448(C2xC4:Dic7).47C2448,920

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