Extensions 1→N→G→Q→1 with N=C8:Dic7 and Q=C2

Direct product G=NxQ with N=C8:Dic7 and Q=C2
dρLabelID
C2xC8:Dic7448C2xC8:Dic7448,638

Semidirect products G=N:Q with N=C8:Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
C8:Dic7:1C2 = D56:2C4φ: C2/C1C2 ⊆ Out C8:Dic71124C8:Dic7:1C2448,75
C8:Dic7:2C2 = D56:C4φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:2C2448,245
C8:Dic7:3C2 = C23.47D28φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:3C2448,655
C8:Dic7:4C2 = C56:3D4φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:4C2448,669
C8:Dic7:5C2 = C56.4D4φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:5C2448,671
C8:Dic7:6C2 = C23.34D28φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:6C2448,255
C8:Dic7:7C2 = C23.10D28φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:7C2448,257
C8:Dic7:8C2 = C23.38D28φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:8C2448,269
C8:Dic7:9C2 = C23.13D28φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:9C2448,271
C8:Dic7:10C2 = D4:Dic14φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:10C2448,295
C8:Dic7:11C2 = D4.Dic14φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:11C2448,297
C8:Dic7:12C2 = D14.SD16φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:12C2448,311
C8:Dic7:13C2 = C8:Dic7:C2φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:13C2448,313
C8:Dic7:14C2 = D14.1SD16φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:14C2448,339
C8:Dic7:15C2 = (C2xC8).D14φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:15C2448,349
C8:Dic7:16C2 = D28:3Q8φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:16C2448,376
C8:Dic7:17C2 = D28.3Q8φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:17C2448,381
C8:Dic7:18C2 = C56:30D4φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:18C2448,648
C8:Dic7:19C2 = C56:(C2xC4)φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:19C2448,415
C8:Dic7:20C2 = D8:Dic7φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:20C2448,686
C8:Dic7:21C2 = C56:12D4φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:21C2448,693
C8:Dic7:22C2 = C56.36D4φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:22C2448,723
C8:Dic7:23C2 = D8:2Dic7φ: C2/C1C2 ⊆ Out C8:Dic71124C8:Dic7:23C2448,123
C8:Dic7:24C2 = D7xC4.Q8φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:24C2448,393
C8:Dic7:25C2 = (C8xD7):C4φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:25C2448,394
C8:Dic7:26C2 = SD16xDic7φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:26C2448,695
C8:Dic7:27C2 = C56:14D4φ: C2/C1C2 ⊆ Out C8:Dic7224C8:Dic7:27C2448,705
C8:Dic7:28C2 = C4xC56:C2φ: trivial image224C8:Dic7:28C2448,225
C8:Dic7:29C2 = C23.22D28φ: trivial image224C8:Dic7:29C2448,640

Non-split extensions G=N.Q with N=C8:Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
C8:Dic7.1C2 = C16:Dic7φ: C2/C1C2 ⊆ Out C8:Dic71124C8:Dic7.1C2448,70
C8:Dic7.2C2 = C8:Dic14φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.2C2448,236
C8:Dic7.3C2 = Dic28:C4φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.3C2448,250
C8:Dic7.4C2 = C56:9Q8φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.4C2448,214
C8:Dic7.5C2 = C56.13Q8φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.5C2448,217
C8:Dic7.6C2 = Q8:Dic14φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.6C2448,325
C8:Dic7.7C2 = Q8.2Dic14φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.7C2448,333
C8:Dic7.8C2 = Dic14.3Q8φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.8C2448,363
C8:Dic7.9C2 = Dic14:4Q8φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.9C2448,385
C8:Dic7.10C2 = C56:4Q8φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.10C2448,410
C8:Dic7.11C2 = Q16:Dic7φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.11C2448,718
C8:Dic7.12C2 = C8.Dic14φ: C2/C1C2 ⊆ Out C8:Dic71124C8:Dic7.12C2448,51
C8:Dic7.13C2 = C56:5Q8φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.13C2448,389
C8:Dic7.14C2 = C56.8Q8φ: C2/C1C2 ⊆ Out C8:Dic7448C8:Dic7.14C2448,392

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