Extensions 1→N→G→Q→1 with N=D7xC2xC8 and Q=C2

Direct product G=NxQ with N=D7xC2xC8 and Q=C2
dρLabelID
D7xC22xC8224D7xC2^2xC8448,1189

Semidirect products G=N:Q with N=D7xC2xC8 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7xC2xC8):1C2 = D7xC4oD8φ: C2/C1C2 ⊆ Out D7xC2xC81124(D7xC2xC8):1C2448,1220
(D7xC2xC8):2C2 = C8:7D28φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):2C2448,417
(D7xC2xC8):3C2 = C56:6D4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):3C2448,691
(D7xC2xC8):4C2 = C2xD7xD8φ: C2/C1C2 ⊆ Out D7xC2xC8112(D7xC2xC8):4C2448,1207
(D7xC2xC8):5C2 = C2xD8:3D7φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):5C2448,1209
(D7xC2xC8):6C2 = C2xQ8.D14φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):6C2448,1218
(D7xC2xC8):7C2 = C8:8D28φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):7C2448,398
(D7xC2xC8):8C2 = C56:14D4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):8C2448,705
(D7xC2xC8):9C2 = C2xD7xSD16φ: C2/C1C2 ⊆ Out D7xC2xC8112(D7xC2xC8):9C2448,1211
(D7xC2xC8):10C2 = C2xSD16:3D7φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):10C2448,1214
(D7xC2xC8):11C2 = C8xD28φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):11C2448,220
(D7xC2xC8):12C2 = D7xC22:C8φ: C2/C1C2 ⊆ Out D7xC2xC8112(D7xC2xC8):12C2448,258
(D7xC2xC8):13C2 = C7:D4:C8φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):13C2448,259
(D7xC2xC8):14C2 = D14:C8:C2φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):14C2448,261
(D7xC2xC8):15C2 = D14:2M4(2)φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):15C2448,262
(D7xC2xC8):16C2 = D7xD4:C4φ: C2/C1C2 ⊆ Out D7xC2xC8112(D7xC2xC8):16C2448,303
(D7xC2xC8):17C2 = D4:2D7:C4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):17C2448,306
(D7xC2xC8):18C2 = D14:D8φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):18C2448,309
(D7xC2xC8):19C2 = D14:SD16φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):19C2448,312
(D7xC2xC8):20C2 = Q8:2D7:C4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):20C2448,338
(D7xC2xC8):21C2 = D14:2SD16φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):21C2448,341
(D7xC2xC8):22C2 = D28:C8φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):22C2448,368
(D7xC2xC8):23C2 = D14:3M4(2)φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):23C2448,370
(D7xC2xC8):24C2 = C8xC7:D4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):24C2448,643
(D7xC2xC8):25C2 = C2xD28.2C4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):25C2448,1191
(D7xC2xC8):26C2 = C8:9D28φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):26C2448,240
(D7xC2xC8):27C2 = C56:D4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):27C2448,661
(D7xC2xC8):28C2 = C2xD7xM4(2)φ: C2/C1C2 ⊆ Out D7xC2xC8112(D7xC2xC8):28C2448,1196
(D7xC2xC8):29C2 = C2xD28.C4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8):29C2448,1197
(D7xC2xC8):30C2 = D7xC8oD4φ: C2/C1C2 ⊆ Out D7xC2xC81124(D7xC2xC8):30C2448,1202

Non-split extensions G=N.Q with N=D7xC2xC8 and Q=C2
extensionφ:Q→Out NdρLabelID
(D7xC2xC8).1C2 = D7xC8.C4φ: C2/C1C2 ⊆ Out D7xC2xC81124(D7xC2xC8).1C2448,426
(D7xC2xC8).2C2 = D7xC2.D8φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).2C2448,413
(D7xC2xC8).3C2 = C8.27(C4xD7)φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).3C2448,414
(D7xC2xC8).4C2 = D14:2Q16φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).4C2448,421
(D7xC2xC8).5C2 = D14:3Q16φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).5C2448,722
(D7xC2xC8).6C2 = C2xD7xQ16φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).6C2448,1216
(D7xC2xC8).7C2 = D7xC4.Q8φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).7C2448,393
(D7xC2xC8).8C2 = (C8xD7):C4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).8C2448,394
(D7xC2xC8).9C2 = D14:C16φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).9C2448,64
(D7xC2xC8).10C2 = D14.C42φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).10C2448,223
(D7xC2xC8).11C2 = D7xQ8:C4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).11C2448,335
(D7xC2xC8).12C2 = D14:Q16φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).12C2448,347
(D7xC2xC8).13C2 = D7xC4:C8φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).13C2448,366
(D7xC2xC8).14C2 = C42.30D14φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).14C2448,373
(D7xC2xC8).15C2 = C2xC16:D7φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).15C2448,434
(D7xC2xC8).16C2 = D7xC8:C4φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).16C2448,238
(D7xC2xC8).17C2 = D14.4C42φ: C2/C1C2 ⊆ Out D7xC2xC8224(D7xC2xC8).17C2448,242
(D7xC2xC8).18C2 = D7xM5(2)φ: C2/C1C2 ⊆ Out D7xC2xC81124(D7xC2xC8).18C2448,440
(D7xC2xC8).19C2 = D7xC4xC8φ: trivial image224(D7xC2xC8).19C2448,218
(D7xC2xC8).20C2 = D7xC2xC16φ: trivial image224(D7xC2xC8).20C2448,433

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