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Extensions 1→N→G→Q→1 with N=D4:Dic7 and Q=C2

Direct product G=NxQ with N=D4:Dic7 and Q=C2
dρLabelID
C2xD4:Dic7224C2xD4:Dic7448,748

Semidirect products G=N:Q with N=D4:Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:Dic7:1C2 = Dic7.SD16φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:1C2448,294
D4:Dic7:2C2 = C4:C4.D14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:2C2448,298
D4:Dic7:3C2 = D7xD4:C4φ: C2/C1 → C2 ⊆ Out D4:Dic7112D4:Dic7:3C2448,303
D4:Dic7:4C2 = (D4xD7):C4φ: C2/C1 → C2 ⊆ Out D4:Dic7112D4:Dic7:4C2448,304
D4:Dic7:5C2 = D4:(C4xD7)φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:5C2448,305
D4:Dic7:6C2 = D4:2D7:C4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:6C2448,306
D4:Dic7:7C2 = D14.D8φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:7C2448,308
D4:Dic7:8C2 = D14.SD16φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:8C2448,311
D4:Dic7:9C2 = C8:Dic7:C2φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:9C2448,313
D4:Dic7:10C2 = C56:1C4:C2φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:10C2448,318
D4:Dic7:11C2 = C42.48D14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:11C2448,548
D4:Dic7:12C2 = (C2xC14).D8φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:12C2448,567
D4:Dic7:13C2 = C4:D4.D7φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:13C2448,568
D4:Dic7:14C2 = (C2xD4).D14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:14C2448,569
D4:Dic7:15C2 = C7:C8:22D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:15C2448,572
D4:Dic7:16C2 = C4:D4:D7φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:16C2448,573
D4:Dic7:17C2 = C7:C8:23D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:17C2448,575
D4:Dic7:18C2 = C7:C8:5D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:18C2448,576
D4:Dic7:19C2 = D28.23D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:19C2448,591
D4:Dic7:20C2 = C28.16D8φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:20C2448,604
D4:Dic7:21C2 = C42.72D14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:21C2448,605
D4:Dic7:22C2 = C28:2D8φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:22C2448,606
D4:Dic7:23C2 = Dic14:9D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:23C2448,609
D4:Dic7:24C2 = D8xDic7φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:24C2448,683
D4:Dic7:25C2 = Dic7:D8φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:25C2448,684
D4:Dic7:26C2 = D8:Dic7φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:26C2448,686
D4:Dic7:27C2 = (C2xD8).D7φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:27C2448,687
D4:Dic7:28C2 = D28:D4φ: C2/C1 → C2 ⊆ Out D4:Dic7112D4:Dic7:28C2448,690
D4:Dic7:29C2 = C56:6D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:29C2448,691
D4:Dic7:30C2 = Dic14:D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:30C2448,692
D4:Dic7:31C2 = C56:12D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:31C2448,693
D4:Dic7:32C2 = Dic7:5SD16φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:32C2448,697
D4:Dic7:33C2 = D14:6SD16φ: C2/C1 → C2 ⊆ Out D4:Dic7112D4:Dic7:33C2448,703
D4:Dic7:34C2 = C56:14D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:34C2448,705
D4:Dic7:35C2 = Dic14.16D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:35C2448,707
D4:Dic7:36C2 = C56:8D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:36C2448,708
D4:Dic7:37C2 = (D4xC14):6C4φ: C2/C1 → C2 ⊆ Out D4:Dic7112D4:Dic7:37C2448,749
D4:Dic7:38C2 = (C2xC14):8D8φ: C2/C1 → C2 ⊆ Out D4:Dic7112D4:Dic7:38C2448,751
D4:Dic7:39C2 = (C7xD4).31D4φ: C2/C1 → C2 ⊆ Out D4:Dic7112D4:Dic7:39C2448,752
D4:Dic7:40C2 = C4oD4:Dic7φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:40C2448,766
D4:Dic7:41C2 = (C7xD4):14D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:41C2448,772
D4:Dic7:42C2 = (C7xD4).32D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7:42C2448,773
D4:Dic7:43C2 = C4xD4:D7φ: trivial image224D4:Dic7:43C2448,547
D4:Dic7:44C2 = C28.(C2xD4)φ: trivial image224D4:Dic7:44C2448,767

Non-split extensions G=N.Q with N=D4:Dic7 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:Dic7.1C2 = Dic7.D8φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.1C2448,293
D4:Dic7.2C2 = D4:Dic14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.2C2448,295
D4:Dic7.3C2 = D4.Dic14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.3C2448,297
D4:Dic7.4C2 = C28:Q8:C2φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.4C2448,299
D4:Dic7.5C2 = D4.2Dic14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.5C2448,300
D4:Dic7.6C2 = (C8xDic7):C2φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.6C2448,302
D4:Dic7.7C2 = C28.50D8φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.7C2448,541
D4:Dic7.8C2 = C28.38SD16φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.8C2448,542
D4:Dic7.9C2 = D4.3Dic14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.9C2448,543
D4:Dic7.10C2 = C42.51D14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.10C2448,552
D4:Dic7.11C2 = C42.61D14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.11C2448,588
D4:Dic7.12C2 = C42.62D14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.12C2448,589
D4:Dic7.13C2 = C42.213D14φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.13C2448,590
D4:Dic7.14C2 = SD16xDic7φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.14C2448,695
D4:Dic7.15C2 = SD16:Dic7φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.15C2448,698
D4:Dic7.16C2 = (C7xQ8).D4φ: C2/C1 → C2 ⊆ Out D4:Dic7224D4:Dic7.16C2448,700
D4:Dic7.17C2 = C4xD4.D7φ: trivial image224D4:Dic7.17C2448,551

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