Extensions 1→N→G→Q→1 with N=D14⋊C8 and Q=C2

Direct product G=N×Q with N=D14⋊C8 and Q=C2
dρLabelID
C2×D14⋊C8224C2xD14:C8448,642

Semidirect products G=N:Q with N=D14⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
D14⋊C8⋊1C2 = C8⋊6D28φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:1C2448,222
D14⋊C8⋊2C2 = (C22×C8)⋊D7φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:2C2448,644
D14⋊C8⋊3C2 = C56⋊32D4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:3C2448,645
D14⋊C8⋊4C2 = D4⋊D28φ: C2/C1 → C2 ⊆ Out D14⋊C8112D14:C8:4C2448,307
D14⋊C8⋊5C2 = D14.D8φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:5C2448,308
D14⋊C8⋊6C2 = D4.D28φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:6C2448,317
D14⋊C8⋊7C2 = C56⋊1C4⋊C2φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:7C2448,318
D14⋊C8⋊8C2 = D28⋊4D4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:8C2448,345
D14⋊C8⋊9C2 = D4.6D28φ: C2/C1 → C2 ⊆ Out D14⋊C8112D14:C8:9C2448,310
D14⋊C8⋊10C2 = D14.SD16φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:10C2448,311
D14⋊C8⋊11C2 = C8⋊Dic7⋊C2φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:11C2448,313
D14⋊C8⋊12C2 = D4⋊3D28φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:12C2448,315
D14⋊C8⋊13C2 = Q8⋊2D28φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:13C2448,340
D14⋊C8⋊14C2 = Q8.D28φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:14C2448,344
D14⋊C8⋊15C2 = D7×C22⋊C8φ: C2/C1 → C2 ⊆ Out D14⋊C8112D14:C8:15C2448,258
D14⋊C8⋊16C2 = C7⋊D4⋊C8φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:16C2448,259
D14⋊C8⋊17C2 = D14⋊M4(2)φ: C2/C1 → C2 ⊆ Out D14⋊C8112D14:C8:17C2448,260
D14⋊C8⋊18C2 = D14⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:18C2448,261
D14⋊C8⋊19C2 = D14⋊2M4(2)φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:19C2448,262
D14⋊C8⋊20C2 = Dic7⋊M4(2)φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:20C2448,263
D14⋊C8⋊21C2 = C7⋊C8⋊26D4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:21C2448,264
D14⋊C8⋊22C2 = D28⋊C8φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:22C2448,368
D14⋊C8⋊23C2 = D14⋊3M4(2)φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:23C2448,370
D14⋊C8⋊24C2 = C28⋊2M4(2)φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:24C2448,372
D14⋊C8⋊25C2 = D14.5D8φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:25C2448,416
D14⋊C8⋊26C2 = C2.D8⋊D7φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:26C2448,419
D14⋊C8⋊27C2 = D28⋊D4φ: C2/C1 → C2 ⊆ Out D14⋊C8112D14:C8:27C2448,690
D14⋊C8⋊28C2 = Dic14⋊D4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:28C2448,692
D14⋊C8⋊29C2 = D28.17D4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:29C2448,721
D14⋊C8⋊30C2 = D14.4SD16φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:30C2448,397
D14⋊C8⋊31C2 = C4.Q8⋊D7φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:31C2448,400
D14⋊C8⋊32C2 = D14⋊6SD16φ: C2/C1 → C2 ⊆ Out D14⋊C8112D14:C8:32C2448,703
D14⋊C8⋊33C2 = Dic14⋊7D4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:33C2448,704
D14⋊C8⋊34C2 = D28⋊7D4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:34C2448,706
D14⋊C8⋊35C2 = Dic14.16D4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:35C2448,707
D14⋊C8⋊36C2 = C8⋊9D28φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:36C2448,240
D14⋊C8⋊37C2 = D14⋊6M4(2)φ: C2/C1 → C2 ⊆ Out D14⋊C8112D14:C8:37C2448,660
D14⋊C8⋊38C2 = C56⋊D4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:38C2448,661
D14⋊C8⋊39C2 = C56⋊18D4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:39C2448,662
D14⋊C8⋊40C2 = (C2×D28).14C4φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8:40C2448,663
D14⋊C8⋊41C2 = C8×D28φ: trivial image224D14:C8:41C2448,220
D14⋊C8⋊42C2 = C8×C7⋊D4φ: trivial image224D14:C8:42C2448,643

Non-split extensions G=N.Q with N=D14⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
D14⋊C8.1C2 = C42.243D14φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.1C2448,224
D14⋊C8.2C2 = D14⋊4Q16φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.2C2448,342
D14⋊C8.3C2 = D14.Q16φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.3C2448,343
D14⋊C8.4C2 = D14⋊C8.C2φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.4C2448,348
D14⋊C8.5C2 = D14.1SD16φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.5C2448,339
D14⋊C8.6C2 = (C2×C8).D14φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.6C2448,349
D14⋊C8.7C2 = C42.200D14φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.7C2448,367
D14⋊C8.8C2 = C42.202D14φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.8C2448,369
D14⋊C8.9C2 = C42.31D14φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.9C2448,374
D14⋊C8.10C2 = D14.2Q16φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.10C2448,418
D14⋊C8.11C2 = C2.D8⋊7D7φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.11C2448,422
D14⋊C8.12C2 = D14⋊5Q16φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.12C2448,720
D14⋊C8.13C2 = D14.2SD16φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.13C2448,396
D14⋊C8.14C2 = C28.(C4○D4)φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.14C2448,401
D14⋊C8.15C2 = C42.182D14φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.15C2448,239
D14⋊C8.16C2 = C42.185D14φ: C2/C1 → C2 ⊆ Out D14⋊C8224D14:C8.16C2448,243
D14⋊C8.17C2 = C42.282D14φ: trivial image224D14:C8.17C2448,219

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