# 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×Dic7448C2^2xC4xDic7448,1235

Semidirect products G=N:Q with N=C2×C4×Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×Dic7)⋊1C2 = (C2×D28)⋊10C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):1C2448,522
(C2×C4×Dic7)⋊2C2 = C2×D284C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7112(C2xC4xDic7):2C2448,672
(C2×C4×Dic7)⋊3C2 = C24.19D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):3C2448,755
(C2×C4×Dic7)⋊4C2 = C2×D42Dic7φ: C2/C1C2 ⊆ Out C2×C4×Dic7112(C2xC4xDic7):4C2448,769
(C2×C4×Dic7)⋊5C2 = C2×D28⋊C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):5C2448,956
(C2×C4×Dic7)⋊6C2 = C42.188D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):6C2448,975
(C2×C4×Dic7)⋊7C2 = C28⋊(C4○D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):7C2448,1049
(C2×C4×Dic7)⋊8C2 = C4⋊C4.178D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):8C2448,1053
(C2×C4×Dic7)⋊9C2 = C22⋊Q825D7φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):9C2448,1077
(C2×C4×Dic7)⋊10C2 = C2×D4×Dic7φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):10C2448,1248
(C2×C4×Dic7)⋊11C2 = C2×C28.17D4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):11C2448,1250
(C2×C4×Dic7)⋊12C2 = C2×C28⋊D4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):12C2448,1256
(C2×C4×Dic7)⋊13C2 = C2×C28.23D4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):13C2448,1267
(C2×C4×Dic7)⋊14C2 = C4○D4×Dic7φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):14C2448,1279
(C2×C4×Dic7)⋊15C2 = (C2×C28)⋊17D4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):15C2448,1285
(C2×C4×Dic7)⋊16C2 = D14⋊C42φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):16C2448,200
(C2×C4×Dic7)⋊17C2 = D14⋊C45C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):17C2448,203
(C2×C4×Dic7)⋊18C2 = C2.(C4×D28)φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):18C2448,204
(C2×C4×Dic7)⋊19C2 = C4×D14⋊C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):19C2448,472
(C2×C4×Dic7)⋊20C2 = C22⋊C4×Dic7φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):20C2448,475
(C2×C4×Dic7)⋊21C2 = C24.3D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):21C2448,478
(C2×C4×Dic7)⋊22C2 = C24.4D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):22C2448,479
(C2×C4×Dic7)⋊23C2 = C24.8D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):23C2448,485
(C2×C4×Dic7)⋊24C2 = C24.13D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):24C2448,491
(C2×C4×Dic7)⋊25C2 = D14⋊C47C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):25C2448,524
(C2×C4×Dic7)⋊26C2 = C4×C23.D7φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):26C2448,743
(C2×C4×Dic7)⋊27C2 = C2×C42⋊D7φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):27C2448,925
(C2×C4×Dic7)⋊28C2 = C2×C23.11D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):28C2448,933
(C2×C4×Dic7)⋊29C2 = C2×C23.D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):29C2448,935
(C2×C4×Dic7)⋊30C2 = C2×Dic74D4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):30C2448,938
(C2×C4×Dic7)⋊31C2 = C2×Dic7.D4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):31C2448,944
(C2×C4×Dic7)⋊32C2 = C2×C4⋊C47D7φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):32C2448,955
(C2×C4×Dic7)⋊33C2 = C2×C4⋊C4⋊D7φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):33C2448,965
(C2×C4×Dic7)⋊34C2 = C4×D42D7φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):34C2448,989
(C2×C4×Dic7)⋊35C2 = C42.102D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):35C2448,991
(C2×C4×Dic7)⋊36C2 = C4⋊C4.197D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):36C2448,1102
(C2×C4×Dic7)⋊37C2 = C2×C23.21D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):37C2448,1239
(C2×C4×Dic7)⋊38C2 = C2×C4×C7⋊D4φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7):38C2448,1241
(C2×C4×Dic7)⋊39C2 = D7×C2×C42φ: trivial image224(C2xC4xDic7):39C2448,924

Non-split extensions G=N.Q with N=C2×C4×Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C4×Dic7).1C2 = C28.2C42φ: C2/C1C2 ⊆ Out C2×C4×Dic7112(C2xC4xDic7).1C2448,89
(C2×C4×Dic7).2C2 = C28.3C42φ: C2/C1C2 ⊆ Out C2×C4×Dic7112(C2xC4xDic7).2C2448,112
(C2×C4×Dic7).3C2 = C28⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).3C2448,507
(C2×C4×Dic7).4C2 = (C2×Dic7)⋊6Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).4C2448,508
(C2×C4×Dic7).5C2 = C4⋊C4×Dic7φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).5C2448,509
(C2×C4×Dic7).6C2 = (C4×Dic7)⋊8C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).6C2448,510
(C2×C4×Dic7).7C2 = (C4×Dic7)⋊9C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).7C2448,511
(C2×C4×Dic7).8C2 = C4⋊(C4⋊Dic7)φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).8C2448,519
(C2×C4×Dic7).9C2 = M4(2)×Dic7φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7).9C2448,651
(C2×C4×Dic7).10C2 = Dic74M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7).10C2448,652
(C2×C4×Dic7).11C2 = (Q8×C14)⋊7C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).11C2448,764
(C2×C4×Dic7).12C2 = C2×C28⋊Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).12C2448,950
(C2×C4×Dic7).13C2 = C2×C28.3Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).13C2448,952
(C2×C4×Dic7).14C2 = C42.88D14φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7).14C2448,970
(C2×C4×Dic7).15C2 = (Q8×Dic7)⋊C2φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7).15C2448,1075
(C2×C4×Dic7).16C2 = C2×Dic7⋊Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).16C2448,1263
(C2×C4×Dic7).17C2 = C2×Q8×Dic7φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).17C2448,1264
(C2×C4×Dic7).18C2 = (C2×C56)⋊5C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).18C2448,107
(C2×C4×Dic7).19C2 = (C2×C28)⋊Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).19C2448,180
(C2×C4×Dic7).20C2 = C14.(C4×Q8)φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).20C2448,181
(C2×C4×Dic7).21C2 = Dic7.5C42φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).21C2448,182
(C2×C4×Dic7).22C2 = Dic7⋊C42φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).22C2448,183
(C2×C4×Dic7).23C2 = C7⋊(C428C4)φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).23C2448,184
(C2×C4×Dic7).24C2 = C7⋊(C425C4)φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).24C2448,185
(C2×C4×Dic7).25C2 = Dic7⋊C4⋊C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).25C2448,186
(C2×C4×Dic7).26C2 = C4⋊Dic77C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).26C2448,187
(C2×C4×Dic7).27C2 = C4⋊Dic78C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).27C2448,188
(C2×C4×Dic7).28C2 = C14.(C4×D4)φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).28C2448,189
(C2×C4×Dic7).29C2 = Dic7.5M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7).29C2448,252
(C2×C4×Dic7).30C2 = Dic7.M4(2)φ: C2/C1C2 ⊆ Out C2×C4×Dic7224(C2xC4xDic7).30C2448,253
(C2×C4×Dic7).31C2 = C4×Dic7⋊C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).31C2448,465
(C2×C4×Dic7).32C2 = C424Dic7φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).32C2448,466
(C2×C4×Dic7).33C2 = C4×C4⋊Dic7φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).33C2448,468
(C2×C4×Dic7).34C2 = Dic7⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).34C2448,506
(C2×C4×Dic7).35C2 = C22.23(Q8×D7)φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).35C2448,512
(C2×C4×Dic7).36C2 = C4⋊C45Dic7φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).36C2448,515
(C2×C4×Dic7).37C2 = C2×Dic7⋊C8φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).37C2448,633
(C2×C4×Dic7).38C2 = C2×C56⋊C4φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).38C2448,634
(C2×C4×Dic7).39C2 = C2×C4×Dic14φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).39C2448,920
(C2×C4×Dic7).40C2 = C2×Dic73Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).40C2448,949
(C2×C4×Dic7).41C2 = C2×Dic7.Q8φ: C2/C1C2 ⊆ Out C2×C4×Dic7448(C2xC4xDic7).41C2448,951
(C2×C4×Dic7).42C2 = C42×Dic7φ: trivial image448(C2xC4xDic7).42C2448,464
(C2×C4×Dic7).43C2 = C2×C8×Dic7φ: trivial image448(C2xC4xDic7).43C2448,632

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