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Extensions 1→N→G→Q→1 with N=C14.Q16 and Q=C2

Direct product G=N×Q with N=C14.Q16 and Q=C2
dρLabelID
C2×C14.Q16448C2xC14.Q16448,503

Semidirect products G=N:Q with N=C14.Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C14.Q16⋊1C2 = C28⋊Q8⋊C2φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:1C2448,299
C14.Q16⋊2C2 = Dic14.D4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:2C2448,301
C14.Q16⋊3C2 = (C8×Dic7)⋊C2φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:3C2448,302
C14.Q16⋊4C2 = D4⋊(C4×D7)φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:4C2448,305
C14.Q16⋊5C2 = D4⋊2D7⋊C4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:5C2448,306
C14.Q16⋊6C2 = D4⋊3D28φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:6C2448,315
C14.Q16⋊7C2 = D4.D28φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:7C2448,317
C14.Q16⋊8C2 = D28.D4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:8C2448,321
C14.Q16⋊9C2 = D7×Q8⋊C4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:9C2448,335
C14.Q16⋊10C2 = (Q8×D7)⋊C4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:10C2448,336
C14.Q16⋊11C2 = Q8⋊2D28φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:11C2448,340
C14.Q16⋊12C2 = D14⋊4Q16φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:12C2448,342
C14.Q16⋊13C2 = Dic7⋊SD16φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:13C2448,352
C14.Q16⋊14C2 = Dic7⋊8SD16φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:14C2448,386
C14.Q16⋊15C2 = D14.2SD16φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:15C2448,396
C14.Q16⋊16C2 = C8⋊8D28φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:16C2448,398
C14.Q16⋊17C2 = C28.(C4○D4)φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:17C2448,401
C14.Q16⋊18C2 = C8.2D28φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:18C2448,402
C14.Q16⋊19C2 = D14.2Q16φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:19C2448,418
C14.Q16⋊20C2 = C8⋊3D28φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:20C2448,420
C14.Q16⋊21C2 = D14⋊2Q16φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:21C2448,421
C14.Q16⋊22C2 = C2.D8⋊7D7φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:22C2448,422
C14.Q16⋊23C2 = C56⋊C2⋊C4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:23C2448,423
C14.Q16⋊24C2 = C4○D28⋊C4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:24C2448,500
C14.Q16⋊25C2 = C4⋊C4.230D14φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:25C2448,504
C14.Q16⋊26C2 = C4⋊C4.231D14φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:26C2448,505
C14.Q16⋊27C2 = C4⋊C4.233D14φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:27C2448,530
C14.Q16⋊28C2 = (C2×C4).47D28φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:28C2448,538
C14.Q16⋊29C2 = D4.1D28φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:29C2448,550
C14.Q16⋊30C2 = C42.51D14φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:30C2448,552
C14.Q16⋊31C2 = D4.2D28φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:31C2448,553
C14.Q16⋊32C2 = Q8.1D28φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:32C2448,562
C14.Q16⋊33C2 = D28⋊17D4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:33C2448,571
C14.Q16⋊34C2 = Dic14⋊17D4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:34C2448,574
C14.Q16⋊35C2 = C7⋊C8⋊23D4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:35C2448,575
C14.Q16⋊36C2 = C7⋊C8⋊5D4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:36C2448,576
C14.Q16⋊37C2 = D28.37D4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:37C2448,581
C14.Q16⋊38C2 = Dic14.37D4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:38C2448,584
C14.Q16⋊39C2 = C7⋊C8.29D4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:39C2448,585
C14.Q16⋊40C2 = C7⋊C8.6D4φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:40C2448,586
C14.Q16⋊41C2 = C42.216D14φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:41C2448,602
C14.Q16⋊42C2 = C42.82D14φ: C2/C1 → C2 ⊆ Out C14.Q16224C14.Q16:42C2448,623
C14.Q16⋊43C2 = C4.(C2×D28)φ: trivial image224C14.Q16:43C2448,536
C14.Q16⋊44C2 = C4×D4.D7φ: trivial image224C14.Q16:44C2448,551

Non-split extensions G=N.Q with N=C14.Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C14.Q16.1C2 = Dic7.1Q16φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.1C2448,326
C14.Q16.2C2 = Dic7⋊Q16φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.2C2448,327
C14.Q16.3C2 = C56⋊C4.C2φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.3C2448,331
C14.Q16.4C2 = Dic28⋊9C4φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.4C2448,387
C14.Q16.5C2 = Dic14⋊Q8φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.5C2448,388
C14.Q16.6C2 = Dic14.Q8φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.6C2448,391
C14.Q16.7C2 = Dic28⋊6C4φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.7C2448,407
C14.Q16.8C2 = Dic14⋊2Q8φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.8C2448,409
C14.Q16.9C2 = Dic14.2Q8φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.9C2448,411
C14.Q16.10C2 = C42.59D14φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.10C2448,564
C14.Q16.11C2 = C28⋊7Q16φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.11C2448,565
C14.Q16.12C2 = Dic14.4Q8φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.12C2448,597
C14.Q16.13C2 = C42.71D14φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.13C2448,603
C14.Q16.14C2 = Dic14⋊5Q8φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.14C2448,625
C14.Q16.15C2 = C28.11Q16φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.15C2448,627
C14.Q16.16C2 = Dic14⋊6Q8φ: C2/C1 → C2 ⊆ Out C14.Q16448C14.Q16.16C2448,628
C14.Q16.17C2 = C4×C7⋊Q16φ: trivial image448C14.Q16.17C2448,563

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