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Extensions 1→N→G→Q→1 with N=Q8:Dic5 and Q=C2

Direct product G=NxQ with N=Q8:Dic5 and Q=C2
dρLabelID
C2xQ8:Dic5320C2xQ8:Dic5320,851

Semidirect products G=N:Q with N=Q8:Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:Dic5:1C2 = Q8:C4:D5φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:1C2320,422
Q8:Dic5:2C2 = Q8:Dic5:C2φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:2C2320,427
Q8:Dic5:3C2 = D5xQ8:C4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:3C2320,428
Q8:Dic5:4C2 = (Q8xD5):C4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:4C2320,429
Q8:Dic5:5C2 = Q8:(C4xD5)φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:5C2320,430
Q8:Dic5:6C2 = Q8:2D5:C4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:6C2320,431
Q8:Dic5:7C2 = D10.11SD16φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:7C2320,432
Q8:Dic5:8C2 = D10.7Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:8C2320,436
Q8:Dic5:9C2 = (C2xC8).D10φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:9C2320,441
Q8:Dic5:10C2 = D10:1C8.C2φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:10C2320,442
Q8:Dic5:11C2 = C42.56D10φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:11C2320,653
Q8:Dic5:12C2 = C22:Q8.D5φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:12C2320,670
Q8:Dic5:13C2 = (C2xC10).Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:13C2320,671
Q8:Dic5:14C2 = C10.(C4oD8)φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:14C2320,672
Q8:Dic5:15C2 = C5:2C8:24D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:15C2320,675
Q8:Dic5:16C2 = C22:Q8:D5φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:16C2320,676
Q8:Dic5:17C2 = (C2xC10):Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:17C2320,678
Q8:Dic5:18C2 = C5:(C8.D4)φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:18C2320,679
Q8:Dic5:19C2 = C42.61D10φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:19C2320,681
Q8:Dic5:20C2 = C42.62D10φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:20C2320,682
Q8:Dic5:21C2 = C42.213D10φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:21C2320,683
Q8:Dic5:22C2 = D20.23D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:22C2320,684
Q8:Dic5:23C2 = C20:5SD16φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:23C2320,710
Q8:Dic5:24C2 = SD16xDic5φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:24C2320,788
Q8:Dic5:25C2 = Dic5:3SD16φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:25C2320,789
Q8:Dic5:26C2 = SD16:Dic5φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:26C2320,791
Q8:Dic5:27C2 = (C5xD4).D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:27C2320,792
Q8:Dic5:28C2 = D10:8SD16φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:28C2320,797
Q8:Dic5:29C2 = C40:14D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:29C2320,798
Q8:Dic5:30C2 = D20:7D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:30C2320,799
Q8:Dic5:31C2 = C40:8D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:31C2320,801
Q8:Dic5:32C2 = (C2xQ16):D5φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:32C2320,812
Q8:Dic5:33C2 = D10:5Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:33C2320,813
Q8:Dic5:34C2 = D20.17D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:34C2320,814
Q8:Dic5:35C2 = D10:3Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:35C2320,815
Q8:Dic5:36C2 = C40.36D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:36C2320,816
Q8:Dic5:37C2 = (Q8xC10):16C4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:37C2320,852
Q8:Dic5:38C2 = (C5xQ8):13D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:38C2320,854
Q8:Dic5:39C2 = (C2xC10):8Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:39C2320,855
Q8:Dic5:40C2 = C4oD4:Dic5φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:40C2320,859
Q8:Dic5:41C2 = (C5xD4):14D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:41C2320,865
Q8:Dic5:42C2 = (C5xD4).32D4φ: C2/C1 → C2 ⊆ Out Q8:Dic5160Q8:Dic5:42C2320,866
Q8:Dic5:43C2 = C4xQ8:D5φ: trivial image160Q8:Dic5:43C2320,652
Q8:Dic5:44C2 = C20.(C2xD4)φ: trivial image160Q8:Dic5:44C2320,860

Non-split extensions G=N.Q with N=Q8:Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:Dic5.1C2 = Q8:Dic10φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.1C2320,418
Q8:Dic5.2C2 = Dic5.3Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.2C2320,419
Q8:Dic5.3C2 = Dic5.9Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.3C2320,421
Q8:Dic5.4C2 = Q8.Dic10φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.4C2320,423
Q8:Dic5.5C2 = C40:8C4.C2φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.5C2320,424
Q8:Dic5.6C2 = Q8.2Dic10φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.6C2320,426
Q8:Dic5.7C2 = C20.48SD16φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.7C2320,647
Q8:Dic5.8C2 = C20.23Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.8C2320,648
Q8:Dic5.9C2 = Q8.3Dic10φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.9C2320,649
Q8:Dic5.10C2 = C42.59D10φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.10C2320,657
Q8:Dic5.11C2 = C20.Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.11C2320,708
Q8:Dic5.12C2 = C42.77D10φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.12C2320,709
Q8:Dic5.13C2 = C20:Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.13C2320,717
Q8:Dic5.14C2 = Dic5:3Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.14C2320,809
Q8:Dic5.15C2 = Q16xDic5φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.15C2320,810
Q8:Dic5.16C2 = Q16:Dic5φ: C2/C1 → C2 ⊆ Out Q8:Dic5320Q8:Dic5.16C2320,811
Q8:Dic5.17C2 = C4xC5:Q16φ: trivial image320Q8:Dic5.17C2320,656

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