Extensions 1→N→G→Q→1 with N=D7xC22xC4 and Q=C2

Direct product G=NxQ with N=D7xC22xC4 and Q=C2
dρLabelID
D7xC23xC4224D7xC2^3xC4448,1366

Semidirect products G=N:Q with N=D7xC22xC4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7xC22xC4):1C2 = C2xC4:D28φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):1C2448,959
(D7xC22xC4):2C2 = C42:8D14φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):2C2448,977
(D7xC22xC4):3C2 = D7xC4:D4φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):3C2448,1057
(D7xC22xC4):4C2 = C4:C4:21D14φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):4C2448,1059
(D7xC22xC4):5C2 = C4:C4:26D14φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):5C2448,1080
(D7xC22xC4):6C2 = C2xC28:2D4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):6C2448,1253
(D7xC22xC4):7C2 = (C2xC28):15D4φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):7C2448,1281
(D7xC22xC4):8C2 = C22xD4xD7φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):8C2448,1369
(D7xC22xC4):9C2 = C22xD4:2D7φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):9C2448,1370
(D7xC22xC4):10C2 = C22xQ8:2D7φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):10C2448,1373
(D7xC22xC4):11C2 = C2xD7xC4oD4φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):11C2448,1375
(D7xC22xC4):12C2 = (C2xC4):9D28φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):12C2448,199
(D7xC22xC4):13C2 = C24.12D14φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):13C2448,490
(D7xC22xC4):14C2 = C2xC4xD28φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):14C2448,926
(D7xC22xC4):15C2 = C2xD7xC22:C4φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):15C2448,937
(D7xC22xC4):16C2 = C2xDic7:4D4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):16C2448,938
(D7xC22xC4):17C2 = C2xD14.D4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):17C2448,941
(D7xC22xC4):18C2 = C2xD14:D4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):18C2448,942
(D7xC22xC4):19C2 = C2xD28:C4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):19C2448,956
(D7xC22xC4):20C2 = C2xD14.5D4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):20C2448,958
(D7xC22xC4):21C2 = C4xD4xD7φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):21C2448,997
(D7xC22xC4):22C2 = C42:12D14φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):22C2448,1000
(D7xC22xC4):23C2 = D7xC22.D4φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):23C2448,1105
(D7xC22xC4):24C2 = C4:C4:28D14φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4):24C2448,1109
(D7xC22xC4):25C2 = C2xC4xC7:D4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):25C2448,1241
(D7xC22xC4):26C2 = C22xC4oD28φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4):26C2448,1368

Non-split extensions G=N.Q with N=D7xC22xC4 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7xC22xC4).1C2 = C4:(D14:C4)φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).1C2448,521
(D7xC22xC4).2C2 = D14:6M4(2)φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4).2C2448,660
(D7xC22xC4).3C2 = C2xD7xC4:C4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).3C2448,954
(D7xC22xC4).4C2 = C2xC4:C4:7D7φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).4C2448,955
(D7xC22xC4).5C2 = C2xD14:2Q8φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).5C2448,962
(D7xC22xC4).6C2 = D7xC42:C2φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4).6C2448,973
(D7xC22xC4).7C2 = D7xC22:Q8φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4).7C2448,1079
(D7xC22xC4).8C2 = C2xD7xM4(2)φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4).8C2448,1196
(D7xC22xC4).9C2 = C2xD14:3Q8φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).9C2448,1266
(D7xC22xC4).10C2 = C22xQ8xD7φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).10C2448,1372
(D7xC22xC4).11C2 = D7xC2.C42φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).11C2448,197
(D7xC22xC4).12C2 = C22.58(D4xD7)φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).12C2448,198
(D7xC22xC4).13C2 = D14:C42φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).13C2448,200
(D7xC22xC4).14C2 = D14:(C4:C4)φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).14C2448,201
(D7xC22xC4).15C2 = D14:C4:C4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).15C2448,202
(D7xC22xC4).16C2 = D7xC22:C8φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4).16C2448,258
(D7xC22xC4).17C2 = D14:M4(2)φ: C2/C1C2 ⊆ Out D7xC22xC4112(D7xC2^2xC4).17C2448,260
(D7xC22xC4).18C2 = C4xD14:C4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).18C2448,472
(D7xC22xC4).19C2 = D14:C4:6C4φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).19C2448,523
(D7xC22xC4).20C2 = C2xD14:C8φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).20C2448,642
(D7xC22xC4).21C2 = C2xC42:D7φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).21C2448,925
(D7xC22xC4).22C2 = C2xD14:Q8φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).22C2448,961
(D7xC22xC4).23C2 = C22xC8:D7φ: C2/C1C2 ⊆ Out D7xC22xC4224(D7xC2^2xC4).23C2448,1190
(D7xC22xC4).24C2 = D7xC2xC42φ: trivial image224(D7xC2^2xC4).24C2448,924
(D7xC22xC4).25C2 = D7xC22xC8φ: trivial image224(D7xC2^2xC4).25C2448,1189

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