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Extensions 1→N→G→Q→1 with N=D4⋊C8 and Q=C2

Direct product G=N×Q with N=D4⋊C8 and Q=C2
dρLabelID
C2×D4⋊C864C2xD4:C8128,206

Semidirect products G=N:Q with N=D4⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊C8⋊1C2 = C42.397D4φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:1C2128,209
D4⋊C8⋊2C2 = C42.398D4φ: C2/C1 → C2 ⊆ Out D4⋊C832D4:C8:2C2128,210
D4⋊C8⋊3C2 = C42.45D4φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:3C2128,212
D4⋊C8⋊4C2 = C42.373D4φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:4C2128,214
D4⋊C8⋊5C2 = D8⋊5C8φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:5C2128,312
D4⋊C8⋊6C2 = C8⋊9D8φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:6C2128,313
D4⋊C8⋊7C2 = D4⋊D8φ: C2/C1 → C2 ⊆ Out D4⋊C832D4:C8:7C2128,351
D4⋊C8⋊8C2 = D4⋊3D8φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:8C2128,357
D4⋊C8⋊9C2 = Q8.D8φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:9C2128,373
D4⋊C8⋊10C2 = Q8⋊D8φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:10C2128,353
D4⋊C8⋊11C2 = C42.185C23φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:11C2128,356
D4⋊C8⋊12C2 = Q8⋊2SD16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:12C2128,363
D4⋊C8⋊13C2 = C42.195C23φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:13C2128,366
D4⋊C8⋊14C2 = D4.7D8φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:14C2128,379
D4⋊C8⋊15C2 = D4⋊SD16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:15C2128,354
D4⋊C8⋊16C2 = Q8⋊3D8φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:16C2128,359
D4⋊C8⋊17C2 = C42.189C23φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:17C2128,360
D4⋊C8⋊18C2 = D4⋊2SD16φ: C2/C1 → C2 ⊆ Out D4⋊C832D4:C8:18C2128,361
D4⋊C8⋊19C2 = D4.SD16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:19C2128,367
D4⋊C8⋊20C2 = D4.D8φ: C2/C1 → C2 ⊆ Out D4⋊C832D4:C8:20C2128,371
D4⋊C8⋊21C2 = Q8⋊3SD16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:21C2128,374
D4⋊C8⋊22C2 = C42.207C23φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:22C2128,378
D4⋊C8⋊23C2 = D4⋊4SD16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:23C2128,386
D4⋊C8⋊24C2 = C42.47D4φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:24C2128,215
D4⋊C8⋊25C2 = C42.400D4φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:25C2128,216
D4⋊C8⋊26C2 = D4⋊M4(2)φ: C2/C1 → C2 ⊆ Out D4⋊C832D4:C8:26C2128,218
D4⋊C8⋊27C2 = C42.374D4φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:27C2128,220
D4⋊C8⋊28C2 = D4⋊4M4(2)φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:28C2128,221
D4⋊C8⋊29C2 = D4⋊5M4(2)φ: C2/C1 → C2 ⊆ Out D4⋊C832D4:C8:29C2128,222
D4⋊C8⋊30C2 = C42.315D4φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:30C2128,224
D4⋊C8⋊31C2 = C42.305D4φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:31C2128,226
D4⋊C8⋊32C2 = C42.52D4φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:32C2128,227
D4⋊C8⋊33C2 = C42.53D4φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:33C2128,228
D4⋊C8⋊34C2 = D4⋊2M4(2)φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:34C2128,318
D4⋊C8⋊35C2 = C8⋊6D8φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:35C2128,321
D4⋊C8⋊36C2 = C8⋊3M4(2)φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8:36C2128,326
D4⋊C8⋊37C2 = C42.455D4φ: trivial image64D4:C8:37C2128,208
D4⋊C8⋊38C2 = C8×D8φ: trivial image64D4:C8:38C2128,307

Non-split extensions G=N.Q with N=D4⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊C8.1C2 = SD16⋊C8φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.1C2128,310
D4⋊C8.2C2 = C8⋊15SD16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.2C2128,315
D4⋊C8.3C2 = D4⋊Q16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.3C2128,364
D4⋊C8.4C2 = D4.3Q16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.4C2128,369
D4⋊C8.5C2 = C42.199C23φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.5C2128,370
D4⋊C8.6C2 = D4⋊3Q16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.6C2128,376
D4⋊C8.7C2 = D4⋊4Q16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.7C2128,381
D4⋊C8.8C2 = C42.211C23φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.8C2128,382
D4⋊C8.9C2 = C42.213C23φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.9C2128,384
D4⋊C8.10C2 = D4.5SD16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.10C2128,375
D4⋊C8.11C2 = Q8⋊4SD16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.11C2128,383
D4⋊C8.12C2 = C8⋊12SD16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.12C2128,314
D4⋊C8.13C2 = D4.M4(2)φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.13C2128,317
D4⋊C8.14C2 = Q8⋊2M4(2)φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.14C2128,320
D4⋊C8.15C2 = C8⋊9SD16φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.15C2128,322
D4⋊C8.16C2 = C8⋊M4(2)φ: C2/C1 → C2 ⊆ Out D4⋊C864D4:C8.16C2128,324
D4⋊C8.17C2 = C8×SD16φ: trivial image64D4:C8.17C2128,308

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