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Extensions 1→N→G→Q→1 with N=C28.Q8 and Q=C2

Direct product G=N×Q with N=C28.Q8 and Q=C2
dρLabelID
C2×C28.Q8448C2xC28.Q8448,496

Semidirect products G=N:Q with N=C28.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C28.Q8⋊1C2 = Dic7⋊4D8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:1C2448,290
C28.Q8⋊2C2 = D4.D7⋊C4φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:2C2448,291
C28.Q8⋊3C2 = Dic7.D8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:3C2448,293
C28.Q8⋊4C2 = D4.Dic14φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:4C2448,297
C28.Q8⋊5C2 = D14.D8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:5C2448,308
C28.Q8⋊6C2 = D14⋊D8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:6C2448,309
C28.Q8⋊7C2 = C8⋊Dic7⋊C2φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:7C2448,313
C28.Q8⋊8C2 = C7⋊C8⋊1D4φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:8C2448,314
C28.Q8⋊9C2 = D14.Q16φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:9C2448,343
C28.Q8⋊10C2 = C7⋊(C8⋊D4)φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:10C2448,346
C28.Q8⋊11C2 = D14⋊Q16φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:11C2448,347
C28.Q8⋊12C2 = (C2×C8).D14φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:12C2448,349
C28.Q8⋊13C2 = Q8⋊D7⋊C4φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:13C2448,351
C28.Q8⋊14C2 = (C8×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:14C2448,394
C28.Q8⋊15C2 = C8⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:15C2448,395
C28.Q8⋊16C2 = C4.Q8⋊D7φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:16C2448,400
C28.Q8⋊17C2 = C28.(C4○D4)φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:17C2448,401
C28.Q8⋊18C2 = D28.Q8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:18C2448,405
C28.Q8⋊19C2 = D7×C2.D8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:19C2448,413
C28.Q8⋊20C2 = C56⋊(C2×C4)φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:20C2448,415
C28.Q8⋊21C2 = D14.5D8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:21C2448,416
C28.Q8⋊22C2 = D14.2Q16φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:22C2448,418
C28.Q8⋊23C2 = D28⋊2Q8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:23C2448,424
C28.Q8⋊24C2 = C4.Dic7⋊C4φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:24C2448,498
C28.Q8⋊25C2 = (C2×C14).40D8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:25C2448,501
C28.Q8⋊26C2 = C4⋊C4.230D14φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:26C2448,504
C28.Q8⋊27C2 = C28.(C2×Q8)φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:27C2448,529
C28.Q8⋊28C2 = C4⋊C4.233D14φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:28C2448,530
C28.Q8⋊29C2 = C4⋊C4.236D14φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:29C2448,537
C28.Q8⋊30C2 = C28.50D8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:30C2448,541
C28.Q8⋊31C2 = D4.3Dic14φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:31C2448,543
C28.Q8⋊32C2 = C42.51D14φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:32C2448,552
C28.Q8⋊33C2 = C42.56D14φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:33C2448,560
C28.Q8⋊34C2 = (C2×C14).D8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:34C2448,567
C28.Q8⋊35C2 = (C2×D4).D14φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:35C2448,569
C28.Q8⋊36C2 = C7⋊C8⋊22D4φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:36C2448,572
C28.Q8⋊37C2 = C7⋊C8⋊5D4φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:37C2448,576
C28.Q8⋊38C2 = (C2×C14).Q16φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:38C2448,578
C28.Q8⋊39C2 = C14.(C4○D8)φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:39C2448,579
C28.Q8⋊40C2 = C7⋊C8⋊6D4φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:40C2448,583
C28.Q8⋊41C2 = C7⋊C8.29D4φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:41C2448,585
C28.Q8⋊42C2 = D28.4Q8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:42C2448,600
C28.Q8⋊43C2 = D28⋊6Q8φ: C2/C1 → C2 ⊆ Out C28.Q8224C28.Q8:43C2448,621
C28.Q8⋊44C2 = C28.45(C4⋊C4)φ: trivial image224C28.Q8:44C2448,532
C28.Q8⋊45C2 = C4×D4⋊D7φ: trivial image224C28.Q8:45C2448,547

Non-split extensions G=N.Q with N=C28.Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C28.Q8.1C2 = Dic7⋊4Q16φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.1C2448,324
C28.Q8.2C2 = Dic7.Q16φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.2C2448,328
C28.Q8.3C2 = Q8.2Dic14φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.3C2448,333
C28.Q8.4C2 = C56⋊3Q8φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.4C2448,390
C28.Q8.5C2 = Dic14.Q8φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.5C2448,391
C28.Q8.6C2 = C56.8Q8φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.6C2448,392
C28.Q8.7C2 = C56⋊2Q8φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.7C2448,408
C28.Q8.8C2 = Dic14⋊2Q8φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.8C2448,409
C28.Q8.9C2 = C56⋊4Q8φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.9C2448,410
C28.Q8.10C2 = C28.23Q16φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.10C2448,555
C28.Q8.11C2 = Q8.3Dic14φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.11C2448,556
C28.Q8.12C2 = Dic14.4Q8φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.12C2448,597
C28.Q8.13C2 = C42.215D14φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.13C2448,598
C28.Q8.14C2 = C42.68D14φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.14C2448,599
C28.Q8.15C2 = C28.17D8φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.15C2448,612
C28.Q8.16C2 = C42.76D14φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.16C2448,614
C28.Q8.17C2 = Dic14⋊5Q8φ: C2/C1 → C2 ⊆ Out C28.Q8448C28.Q8.17C2448,625
C28.Q8.18C2 = C4×C7⋊Q16φ: trivial image448C28.Q8.18C2448,563

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