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Extensions 1→N→G→Q→1 with N=Q8⋊C8 and Q=C2

Direct product G=N×Q with N=Q8⋊C8 and Q=C2
dρLabelID
C2×Q8⋊C8128C2xQ8:C8128,207

Semidirect products G=N:Q with N=Q8⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊C8⋊1C2 = C42.397D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:1C2128,209
Q8⋊C8⋊2C2 = C42.399D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:2C2128,211
Q8⋊C8⋊3C2 = C42.46D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:3C2128,213
Q8⋊C8⋊4C2 = C42.373D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:4C2128,214
Q8⋊C8⋊5C2 = SD16⋊C8φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:5C2128,310
Q8⋊C8⋊6C2 = C8⋊12SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:6C2128,314
Q8⋊C8⋊7C2 = Q8⋊D8φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:7C2128,353
Q8⋊C8⋊8C2 = Q8⋊3D8φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:8C2128,359
Q8⋊C8⋊9C2 = C42.189C23φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:9C2128,360
Q8⋊C8⋊10C2 = C42.201C23φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:10C2128,372
Q8⋊C8⋊11C2 = Q8.D8φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:11C2128,373
Q8⋊C8⋊12C2 = D4⋊3Q16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:12C2128,376
Q8⋊C8⋊13C2 = D4⋊4Q16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:13C2128,381
Q8⋊C8⋊14C2 = C42.181C23φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:14C2128,352
Q8⋊C8⋊15C2 = D4⋊SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:15C2128,354
Q8⋊C8⋊16C2 = C42.191C23φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:16C2128,362
Q8⋊C8⋊17C2 = D4⋊Q16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:17C2128,364
Q8⋊C8⋊18C2 = C42.211C23φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:18C2128,382
Q8⋊C8⋊19C2 = C42.213C23φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:19C2128,384
Q8⋊C8⋊20C2 = Q8⋊SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:20C2128,355
Q8⋊C8⋊21C2 = Q8⋊6SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:21C2128,358
Q8⋊C8⋊22C2 = Q8⋊2SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:22C2128,363
Q8⋊C8⋊23C2 = D4.3Q16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:23C2128,369
Q8⋊C8⋊24C2 = C42.199C23φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:24C2128,370
Q8⋊C8⋊25C2 = Q8⋊3SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:25C2128,374
Q8⋊C8⋊26C2 = D4.5SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:26C2128,375
Q8⋊C8⋊27C2 = Q8⋊4SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:27C2128,383
Q8⋊C8⋊28C2 = C42.47D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:28C2128,215
Q8⋊C8⋊29C2 = C42.401D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:29C2128,217
Q8⋊C8⋊30C2 = Q8⋊M4(2)φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:30C2128,219
Q8⋊C8⋊31C2 = C42.374D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:31C2128,220
Q8⋊C8⋊32C2 = D4⋊4M4(2)φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:32C2128,221
Q8⋊C8⋊33C2 = Q8⋊5M4(2)φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:33C2128,223
Q8⋊C8⋊34C2 = C42.316D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:34C2128,225
Q8⋊C8⋊35C2 = C42.305D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:35C2128,226
Q8⋊C8⋊36C2 = C42.52D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:36C2128,227
Q8⋊C8⋊37C2 = C42.54D4φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:37C2128,229
Q8⋊C8⋊38C2 = C8⋊15SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:38C2128,315
Q8⋊C8⋊39C2 = D4.M4(2)φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:39C2128,317
Q8⋊C8⋊40C2 = Q8⋊2M4(2)φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:40C2128,320
Q8⋊C8⋊41C2 = C8⋊9SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:41C2128,322
Q8⋊C8⋊42C2 = C8⋊M4(2)φ: C2/C1 → C2 ⊆ Out Q8⋊C864Q8:C8:42C2128,324
Q8⋊C8⋊43C2 = C42.455D4φ: trivial image64Q8:C8:43C2128,208
Q8⋊C8⋊44C2 = C8×SD16φ: trivial image64Q8:C8:44C2128,308

Non-split extensions G=N.Q with N=Q8⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊C8.1C2 = Q16⋊5C8φ: C2/C1 → C2 ⊆ Out Q8⋊C8128Q8:C8.1C2128,311
Q8⋊C8.2C2 = C8⋊9Q16φ: C2/C1 → C2 ⊆ Out Q8⋊C8128Q8:C8.2C2128,316
Q8⋊C8.3C2 = Q8⋊Q16φ: C2/C1 → C2 ⊆ Out Q8⋊C8128Q8:C8.3C2128,365
Q8⋊C8.4C2 = Q8.Q16φ: C2/C1 → C2 ⊆ Out Q8⋊C8128Q8:C8.4C2128,368
Q8⋊C8.5C2 = Q8⋊3Q16φ: C2/C1 → C2 ⊆ Out Q8⋊C8128Q8:C8.5C2128,377
Q8⋊C8.6C2 = Q8⋊4Q16φ: C2/C1 → C2 ⊆ Out Q8⋊C8128Q8:C8.6C2128,380
Q8⋊C8.7C2 = Q8.SD16φ: C2/C1 → C2 ⊆ Out Q8⋊C8128Q8:C8.7C2128,385
Q8⋊C8.8C2 = Q8.M4(2)φ: C2/C1 → C2 ⊆ Out Q8⋊C8128Q8:C8.8C2128,319
Q8⋊C8.9C2 = C8⋊6Q16φ: C2/C1 → C2 ⊆ Out Q8⋊C8128Q8:C8.9C2128,323
Q8⋊C8.10C2 = C8.M4(2)φ: C2/C1 → C2 ⊆ Out Q8⋊C8128Q8:C8.10C2128,325
Q8⋊C8.11C2 = C8×Q16φ: trivial image128Q8:C8.11C2128,309

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