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Extensions 1→N→G→Q→1 with N=Q8:Dic7 and Q=C2

Direct product G=NxQ with N=Q8:Dic7 and Q=C2
dρLabelID
C2xQ8:Dic7448C2xQ8:Dic7448,758

Semidirect products G=N:Q with N=Q8:Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:Dic7:1C2 = Q8:C4:D7φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:1C2448,329
Q8:Dic7:2C2 = Q8:Dic7:C2φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:2C2448,334
Q8:Dic7:3C2 = D7xQ8:C4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:3C2448,335
Q8:Dic7:4C2 = (Q8xD7):C4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:4C2448,336
Q8:Dic7:5C2 = Q8:(C4xD7)φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:5C2448,337
Q8:Dic7:6C2 = Q8:2D7:C4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:6C2448,338
Q8:Dic7:7C2 = D14.1SD16φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:7C2448,339
Q8:Dic7:8C2 = D14.Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:8C2448,343
Q8:Dic7:9C2 = D14:C8.C2φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:9C2448,348
Q8:Dic7:10C2 = (C2xC8).D14φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:10C2448,349
Q8:Dic7:11C2 = C42.56D14φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:11C2448,560
Q8:Dic7:12C2 = C22:Q8.D7φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:12C2448,577
Q8:Dic7:13C2 = (C2xC14).Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:13C2448,578
Q8:Dic7:14C2 = C14.(C4oD8)φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:14C2448,579
Q8:Dic7:15C2 = C7:C8:24D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:15C2448,582
Q8:Dic7:16C2 = C7:C8:6D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:16C2448,583
Q8:Dic7:17C2 = C7:C8.29D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:17C2448,585
Q8:Dic7:18C2 = C7:C8.6D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:18C2448,586
Q8:Dic7:19C2 = C42.61D14φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:19C2448,588
Q8:Dic7:20C2 = C42.62D14φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:20C2448,589
Q8:Dic7:21C2 = C42.213D14φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:21C2448,590
Q8:Dic7:22C2 = D28.23D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:22C2448,591
Q8:Dic7:23C2 = C28:5SD16φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:23C2448,617
Q8:Dic7:24C2 = SD16xDic7φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:24C2448,695
Q8:Dic7:25C2 = Dic7:3SD16φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:25C2448,696
Q8:Dic7:26C2 = SD16:Dic7φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:26C2448,698
Q8:Dic7:27C2 = (C7xD4).D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:27C2448,699
Q8:Dic7:28C2 = Dic14:7D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:28C2448,704
Q8:Dic7:29C2 = C56:14D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:29C2448,705
Q8:Dic7:30C2 = D28:7D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:30C2448,706
Q8:Dic7:31C2 = C56:8D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:31C2448,708
Q8:Dic7:32C2 = (C2xQ16):D7φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:32C2448,719
Q8:Dic7:33C2 = D14:5Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:33C2448,720
Q8:Dic7:34C2 = D28.17D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:34C2448,721
Q8:Dic7:35C2 = D14:3Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:35C2448,722
Q8:Dic7:36C2 = C56.36D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:36C2448,723
Q8:Dic7:37C2 = (Q8xC14):6C4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:37C2448,759
Q8:Dic7:38C2 = (C7xQ8):13D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:38C2448,761
Q8:Dic7:39C2 = (C2xC14):8Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:39C2448,762
Q8:Dic7:40C2 = C4oD4:Dic7φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:40C2448,766
Q8:Dic7:41C2 = (C7xD4):14D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:41C2448,772
Q8:Dic7:42C2 = (C7xD4).32D4φ: C2/C1 → C2 ⊆ Out Q8:Dic7224Q8:Dic7:42C2448,773
Q8:Dic7:43C2 = C4xQ8:D7φ: trivial image224Q8:Dic7:43C2448,559
Q8:Dic7:44C2 = C28.(C2xD4)φ: trivial image224Q8:Dic7:44C2448,767

Non-split extensions G=N.Q with N=Q8:Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8:Dic7.1C2 = Q8:Dic14φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.1C2448,325
Q8:Dic7.2C2 = Dic7.1Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.2C2448,326
Q8:Dic7.3C2 = Dic7.Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.3C2448,328
Q8:Dic7.4C2 = Q8.Dic14φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.4C2448,330
Q8:Dic7.5C2 = C56:C4.C2φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.5C2448,331
Q8:Dic7.6C2 = Q8.2Dic14φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.6C2448,333
Q8:Dic7.7C2 = C28.48SD16φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.7C2448,554
Q8:Dic7.8C2 = C28.23Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.8C2448,555
Q8:Dic7.9C2 = Q8.3Dic14φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.9C2448,556
Q8:Dic7.10C2 = C42.59D14φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.10C2448,564
Q8:Dic7.11C2 = C28.Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.11C2448,615
Q8:Dic7.12C2 = C42.77D14φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.12C2448,616
Q8:Dic7.13C2 = C28:Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.13C2448,624
Q8:Dic7.14C2 = Dic7:3Q16φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.14C2448,716
Q8:Dic7.15C2 = Q16xDic7φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.15C2448,717
Q8:Dic7.16C2 = Q16:Dic7φ: C2/C1 → C2 ⊆ Out Q8:Dic7448Q8:Dic7.16C2448,718
Q8:Dic7.17C2 = C4xC7:Q16φ: trivial image448Q8:Dic7.17C2448,563

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