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Extensions 1→N→G→Q→1 with N=C2xC4xDic7 and Q=C2

Direct product G=NxQ with N=C2xC4xDic7 and Q=C2
dρLabelID
C22xC4xDic7448C2^2xC4xDic7448,1235

Semidirect products G=N:Q with N=C2xC4xDic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC4xDic7):1C2 = (C2xD28):10C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):1C2448,522
(C2xC4xDic7):2C2 = C2xD28:4C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7112(C2xC4xDic7):2C2448,672
(C2xC4xDic7):3C2 = C24.19D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):3C2448,755
(C2xC4xDic7):4C2 = C2xD4:2Dic7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7112(C2xC4xDic7):4C2448,769
(C2xC4xDic7):5C2 = C2xD28:C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):5C2448,956
(C2xC4xDic7):6C2 = C42.188D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):6C2448,975
(C2xC4xDic7):7C2 = C28:(C4oD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):7C2448,1049
(C2xC4xDic7):8C2 = C4:C4.178D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):8C2448,1053
(C2xC4xDic7):9C2 = C22:Q8:25D7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):9C2448,1077
(C2xC4xDic7):10C2 = C2xD4xDic7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):10C2448,1248
(C2xC4xDic7):11C2 = C2xC28.17D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):11C2448,1250
(C2xC4xDic7):12C2 = C2xC28:D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):12C2448,1256
(C2xC4xDic7):13C2 = C2xC28.23D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):13C2448,1267
(C2xC4xDic7):14C2 = C4oD4xDic7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):14C2448,1279
(C2xC4xDic7):15C2 = (C2xC28):17D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):15C2448,1285
(C2xC4xDic7):16C2 = D14:C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):16C2448,200
(C2xC4xDic7):17C2 = D14:C4:5C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):17C2448,203
(C2xC4xDic7):18C2 = C2.(C4xD28)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):18C2448,204
(C2xC4xDic7):19C2 = C4xD14:C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):19C2448,472
(C2xC4xDic7):20C2 = C22:C4xDic7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):20C2448,475
(C2xC4xDic7):21C2 = C24.3D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):21C2448,478
(C2xC4xDic7):22C2 = C24.4D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):22C2448,479
(C2xC4xDic7):23C2 = C24.8D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):23C2448,485
(C2xC4xDic7):24C2 = C24.13D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):24C2448,491
(C2xC4xDic7):25C2 = D14:C4:7C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):25C2448,524
(C2xC4xDic7):26C2 = C4xC23.D7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):26C2448,743
(C2xC4xDic7):27C2 = C2xC42:D7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):27C2448,925
(C2xC4xDic7):28C2 = C2xC23.11D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):28C2448,933
(C2xC4xDic7):29C2 = C2xC23.D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):29C2448,935
(C2xC4xDic7):30C2 = C2xDic7:4D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):30C2448,938
(C2xC4xDic7):31C2 = C2xDic7.D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):31C2448,944
(C2xC4xDic7):32C2 = C2xC4:C4:7D7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):32C2448,955
(C2xC4xDic7):33C2 = C2xC4:C4:D7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):33C2448,965
(C2xC4xDic7):34C2 = C4xD4:2D7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):34C2448,989
(C2xC4xDic7):35C2 = C42.102D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):35C2448,991
(C2xC4xDic7):36C2 = C4:C4.197D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):36C2448,1102
(C2xC4xDic7):37C2 = C2xC23.21D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):37C2448,1239
(C2xC4xDic7):38C2 = C2xC4xC7:D4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7):38C2448,1241
(C2xC4xDic7):39C2 = D7xC2xC42φ: trivial image224(C2xC4xDic7):39C2448,924

Non-split extensions G=N.Q with N=C2xC4xDic7 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC4xDic7).1C2 = C28.2C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic7112(C2xC4xDic7).1C2448,89
(C2xC4xDic7).2C2 = C28.3C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic7112(C2xC4xDic7).2C2448,112
(C2xC4xDic7).3C2 = C28:(C4:C4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).3C2448,507
(C2xC4xDic7).4C2 = (C2xDic7):6Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).4C2448,508
(C2xC4xDic7).5C2 = C4:C4xDic7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).5C2448,509
(C2xC4xDic7).6C2 = (C4xDic7):8C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).6C2448,510
(C2xC4xDic7).7C2 = (C4xDic7):9C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).7C2448,511
(C2xC4xDic7).8C2 = C4:(C4:Dic7)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).8C2448,519
(C2xC4xDic7).9C2 = M4(2)xDic7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7).9C2448,651
(C2xC4xDic7).10C2 = Dic7:4M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7).10C2448,652
(C2xC4xDic7).11C2 = (Q8xC14):7C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).11C2448,764
(C2xC4xDic7).12C2 = C2xC28:Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).12C2448,950
(C2xC4xDic7).13C2 = C2xC28.3Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).13C2448,952
(C2xC4xDic7).14C2 = C42.88D14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7).14C2448,970
(C2xC4xDic7).15C2 = (Q8xDic7):C2φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7).15C2448,1075
(C2xC4xDic7).16C2 = C2xDic7:Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).16C2448,1263
(C2xC4xDic7).17C2 = C2xQ8xDic7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).17C2448,1264
(C2xC4xDic7).18C2 = (C2xC56):5C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).18C2448,107
(C2xC4xDic7).19C2 = (C2xC28):Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).19C2448,180
(C2xC4xDic7).20C2 = C14.(C4xQ8)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).20C2448,181
(C2xC4xDic7).21C2 = Dic7.5C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).21C2448,182
(C2xC4xDic7).22C2 = Dic7:C42φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).22C2448,183
(C2xC4xDic7).23C2 = C7:(C42:8C4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).23C2448,184
(C2xC4xDic7).24C2 = C7:(C42:5C4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).24C2448,185
(C2xC4xDic7).25C2 = Dic7:C4:C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).25C2448,186
(C2xC4xDic7).26C2 = C4:Dic7:7C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).26C2448,187
(C2xC4xDic7).27C2 = C4:Dic7:8C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).27C2448,188
(C2xC4xDic7).28C2 = C14.(C4xD4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).28C2448,189
(C2xC4xDic7).29C2 = Dic7.5M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7).29C2448,252
(C2xC4xDic7).30C2 = Dic7.M4(2)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7224(C2xC4xDic7).30C2448,253
(C2xC4xDic7).31C2 = C4xDic7:C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).31C2448,465
(C2xC4xDic7).32C2 = C42:4Dic7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).32C2448,466
(C2xC4xDic7).33C2 = C4xC4:Dic7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).33C2448,468
(C2xC4xDic7).34C2 = Dic7:(C4:C4)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).34C2448,506
(C2xC4xDic7).35C2 = C22.23(Q8xD7)φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).35C2448,512
(C2xC4xDic7).36C2 = C4:C4:5Dic7φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).36C2448,515
(C2xC4xDic7).37C2 = C2xDic7:C8φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).37C2448,633
(C2xC4xDic7).38C2 = C2xC56:C4φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).38C2448,634
(C2xC4xDic7).39C2 = C2xC4xDic14φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).39C2448,920
(C2xC4xDic7).40C2 = C2xDic7:3Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).40C2448,949
(C2xC4xDic7).41C2 = C2xDic7.Q8φ: C2/C1 → C2 ⊆ Out C2xC4xDic7448(C2xC4xDic7).41C2448,951
(C2xC4xDic7).42C2 = C42xDic7φ: trivial image448(C2xC4xDic7).42C2448,464
(C2xC4xDic7).43C2 = C2xC8xDic7φ: trivial image448(C2xC4xDic7).43C2448,632

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