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

Direct product G=N×Q with N=C8⋊1C8 and Q=C2
dρLabelID
C2×C8⋊1C8128C2xC8:1C8128,295

Semidirect products G=N:Q with N=C8⋊1C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊1C8⋊1C2 = C4.16D16φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:1C2128,63
C8⋊1C8⋊2C2 = C4.D16φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:2C2128,93
C8⋊1C8⋊3C2 = C8⋊7D8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:3C2128,399
C8⋊1C8⋊4C2 = C8.28D8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:4C2128,401
C8⋊1C8⋊5C2 = C8⋊13SD16φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:5C2128,400
C8⋊1C8⋊6C2 = C8⋊10SD16φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:6C2128,405
C8⋊1C8⋊7C2 = D4.1Q16φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:7C2128,407
C8⋊1C8⋊8C2 = D4.2D8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:8C2128,413
C8⋊1C8⋊9C2 = Q8.2D8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:9C2128,414
C8⋊1C8⋊10C2 = D4.Q16φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:10C2128,415
C8⋊1C8⋊11C2 = M4(2)⋊1C8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:11C2128,297
C8⋊1C8⋊12C2 = C8⋊1M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:12C2128,301
C8⋊1C8⋊13C2 = C42.92D4φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:13C2128,305
C8⋊1C8⋊14C2 = C42.21Q8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:14C2128,306
C8⋊1C8⋊15C2 = SD16⋊C8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:15C2128,310
C8⋊1C8⋊16C2 = D4.M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:16C2128,317
C8⋊1C8⋊17C2 = Q8⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:17C2128,320
C8⋊1C8⋊18C2 = C8⋊M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:18C2128,324
C8⋊1C8⋊19C2 = C8⋊D8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:19C2128,417
C8⋊1C8⋊20C2 = C8⋊SD16φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:20C2128,418
C8⋊1C8⋊21C2 = C8⋊3SD16φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:21C2128,423
C8⋊1C8⋊22C2 = C42.248C23φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:22C2128,429
C8⋊1C8⋊23C2 = C42.249C23φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:23C2128,430
C8⋊1C8⋊24C2 = C42.250C23φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:24C2128,431
C8⋊1C8⋊25C2 = C8⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:25C2128,299
C8⋊1C8⋊26C2 = C42.43Q8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:26C2128,300
C8⋊1C8⋊27C2 = C42.91D4φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:27C2128,303
C8⋊1C8⋊28C2 = C42.Q8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:28C2128,304
C8⋊1C8⋊29C2 = C8⋊9D8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:29C2128,313
C8⋊1C8⋊30C2 = C8⋊6D8φ: C2/C1 → C2 ⊆ Out C8⋊1C864C8:1C8:30C2128,321
C8⋊1C8⋊31C2 = C42.42Q8φ: trivial image64C8:1C8:31C2128,296
C8⋊1C8⋊32C2 = C8×D8φ: trivial image64C8:1C8:32C2128,307

Non-split extensions G=N.Q with N=C8⋊1C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊1C8.1C2 = Q16⋊1C8φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.1C2128,64
C8⋊1C8.2C2 = C8.27D8φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.2C2128,94
C8⋊1C8.3C2 = C4.10D16φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.3C2128,96
C8⋊1C8.4C2 = C4.6Q32φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.4C2128,97
C8⋊1C8.5C2 = C16⋊3C8φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.5C2128,103
C8⋊1C8.6C2 = C16⋊4C8φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.6C2128,104
C8⋊1C8.7C2 = C8⋊7Q16φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.7C2128,406
C8⋊1C8.8C2 = Q8.1Q16φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.8C2128,408
C8⋊1C8.9C2 = Q8⋊1Q16φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.9C2128,402
C8⋊1C8.10C2 = Q8.2Q16φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.10C2128,416
C8⋊1C8.11C2 = C8⋊Q16φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.11C2128,424
C8⋊1C8.12C2 = C42.251C23φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.12C2128,432
C8⋊1C8.13C2 = C8⋊9Q16φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.13C2128,316
C8⋊1C8.14C2 = C8⋊6Q16φ: C2/C1 → C2 ⊆ Out C8⋊1C8128C8:1C8.14C2128,323
C8⋊1C8.15C2 = C8×Q16φ: trivial image128C8:1C8.15C2128,309

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