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Extensions 1→N→G→Q→1 with N=C7:C8 and Q=D4

Direct product G=NxQ with N=C7:C8 and Q=D4
dρLabelID
D4xC7:C8224D4xC7:C8448,544

Semidirect products G=N:Q with N=C7:C8 and Q=D4
extensionφ:Q→Out NdρLabelID
C7:C8:1D4 = C7:C8:1D4φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8:1D4448,314
C7:C8:2D4 = C7:C8:D4φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8:2D4448,316
C7:C8:3D4 = C7:(C8:D4)φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8:3D4448,346
C7:C8:4D4 = C4:D4:D7φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8:4D4448,573
C7:C8:5D4 = C7:C8:5D4φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8:5D4448,576
C7:C8:6D4 = C7:C8:6D4φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8:6D4448,583
C7:C8:7D4 = C42.64D14φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8:7D4448,592
C7:C8:8D4 = C42.74D14φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8:8D4448,608
C7:C8:9D4 = C56:11D4φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8:9D4448,688
C7:C8:10D4 = C56:9D4φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8:10D4448,710
C7:C8:11D4 = C28:D8φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8:11D4448,607
C7:C8:12D4 = C28:4SD16φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8:12D4448,610
C7:C8:13D4 = C28:6SD16φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8:13D4448,619
C7:C8:14D4 = C56:5D4φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8:14D4448,685
C7:C8:15D4 = C56:15D4φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8:15D4448,709
C7:C8:16D4 = Dic7:M4(2)φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8:16D4448,263
C7:C8:17D4 = C28:2M4(2)φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8:17D4448,372
C7:C8:18D4 = C28:3M4(2)φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8:18D4448,546
C7:C8:19D4 = D14:D8φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8:19D4448,309
C7:C8:20D4 = D14:SD16φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8:20D4448,312
C7:C8:21D4 = D14:2SD16φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8:21D4448,341
C7:C8:22D4 = C7:C8:22D4φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8:22D4448,572
C7:C8:23D4 = C7:C8:23D4φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8:23D4448,575
C7:C8:24D4 = C7:C8:24D4φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8:24D4448,582
C7:C8:25D4 = D14:2M4(2)φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8:25D4448,262
C7:C8:26D4 = C7:C8:26D4φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8:26D4448,264
C7:C8:27D4 = D14:3M4(2)φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8:27D4448,370
C7:C8:28D4 = C42.47D14φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8:28D4448,545
C7:C8:29D4 = C7:D4:C8φ: trivial image224C7:C8:29D4448,259
C7:C8:30D4 = D28:C8φ: trivial image224C7:C8:30D4448,368

Non-split extensions G=N.Q with N=C7:C8 and Q=D4
extensionφ:Q→Out NdρLabelID
C7:C8.1D4 = C7:C8.D4φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8.1D4448,350
C7:C8.2D4 = D8:D14φ: D4/C2 → C22 ⊆ Out C7:C81124C7:C8.2D4448,445
C7:C8.3D4 = D112:C2φ: D4/C2 → C22 ⊆ Out C7:C81124+C7:C8.3D4448,448
C7:C8.4D4 = SD32:D7φ: D4/C2 → C22 ⊆ Out C7:C82244-C7:C8.4D4448,449
C7:C8.5D4 = Q32:D7φ: D4/C2 → C22 ⊆ Out C7:C82244C7:C8.5D4448,452
C7:C8.6D4 = C7:C8.6D4φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8.6D4448,586
C7:C8.7D4 = C42.65D14φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8.7D4448,594
C7:C8.8D4 = C42.80D14φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8.8D4448,620
C7:C8.9D4 = C56.31D4φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8.9D4448,701
C7:C8.10D4 = C56.37D4φ: D4/C2 → C22 ⊆ Out C7:C8224C7:C8.10D4448,724
C7:C8.11D4 = D7xD16φ: D4/C4 → C2 ⊆ Out C7:C81124+C7:C8.11D4448,444
C7:C8.12D4 = D16:3D7φ: D4/C4 → C2 ⊆ Out C7:C82244-C7:C8.12D4448,446
C7:C8.13D4 = D7xSD32φ: D4/C4 → C2 ⊆ Out C7:C81124C7:C8.13D4448,447
C7:C8.14D4 = SD32:3D7φ: D4/C4 → C2 ⊆ Out C7:C82244C7:C8.14D4448,450
C7:C8.15D4 = D7xQ32φ: D4/C4 → C2 ⊆ Out C7:C82244-C7:C8.15D4448,451
C7:C8.16D4 = Q32:3D7φ: D4/C4 → C2 ⊆ Out C7:C82244+C7:C8.16D4448,453
C7:C8.17D4 = C42.214D14φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8.17D4448,593
C7:C8.18D4 = C28:3Q16φ: D4/C4 → C2 ⊆ Out C7:C8448C7:C8.18D4448,626
C7:C8.19D4 = C56.22D4φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8.19D4448,689
C7:C8.20D4 = C56.43D4φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8.20D4448,702
C7:C8.21D4 = C56.26D4φ: D4/C4 → C2 ⊆ Out C7:C8448C7:C8.21D4448,715
C7:C8.22D4 = C56.28D4φ: D4/C4 → C2 ⊆ Out C7:C8224C7:C8.22D4448,725
C7:C8.23D4 = D8:5Dic7φ: D4/C4 → C2 ⊆ Out C7:C81124C7:C8.23D4448,730
C7:C8.24D4 = D28.2D4φ: D4/C22 → C2 ⊆ Out C7:C81128-C7:C8.24D4448,282
C7:C8.25D4 = D28.3D4φ: D4/C22 → C2 ⊆ Out C7:C81128+C7:C8.25D4448,283
C7:C8.26D4 = D28.6D4φ: D4/C22 → C2 ⊆ Out C7:C81128+C7:C8.26D4448,288
C7:C8.27D4 = D28.7D4φ: D4/C22 → C2 ⊆ Out C7:C82248-C7:C8.27D4448,289
C7:C8.28D4 = D14:Q16φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8.28D4448,347
C7:C8.29D4 = C7:C8.29D4φ: D4/C22 → C2 ⊆ Out C7:C8224C7:C8.29D4448,585
C7:C8.30D4 = M4(2).D14φ: D4/C22 → C2 ⊆ Out C7:C81128+C7:C8.30D4448,733
C7:C8.31D4 = M4(2).13D14φ: D4/C22 → C2 ⊆ Out C7:C81128-C7:C8.31D4448,734
C7:C8.32D4 = M4(2).15D14φ: D4/C22 → C2 ⊆ Out C7:C81128+C7:C8.32D4448,737
C7:C8.33D4 = M4(2).16D14φ: D4/C22 → C2 ⊆ Out C7:C82248-C7:C8.33D4448,738
C7:C8.34D4 = M4(2).22D14φ: D4/C22 → C2 ⊆ Out C7:C81124C7:C8.34D4448,357
C7:C8.35D4 = D56:10C4φ: D4/C22 → C2 ⊆ Out C7:C81124C7:C8.35D4448,428
C7:C8.36D4 = D8:4Dic7φ: D4/C22 → C2 ⊆ Out C7:C81124C7:C8.36D4448,731
C7:C8.37D4 = C42.196D14φ: trivial image1124C7:C8.37D4448,358
C7:C8.38D4 = D56:7C4φ: trivial image1124C7:C8.38D4448,429

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