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

Direct product G=N×Q with N=C8⋊C8 and Q=C2
dρLabelID
C2×C8⋊C8128C2xC8:C8128,180

Semidirect products G=N:Q with N=C8⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊C8⋊1C2 = C8.32D8φ: C2/C1 → C2 ⊆ Out C8⋊C8164C8:C8:1C2128,68
C8⋊C8⋊2C2 = SD16⋊C8φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:2C2128,310
C8⋊C8⋊3C2 = D8⋊5C8φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:3C2128,312
C8⋊C8⋊4C2 = D4.M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:4C2128,317
C8⋊C8⋊5C2 = D4⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:5C2128,318
C8⋊C8⋊6C2 = Q8⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:6C2128,320
C8⋊C8⋊7C2 = C8⋊M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:7C2128,324
C8⋊C8⋊8C2 = C8⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:8C2128,326
C8⋊C8⋊9C2 = C8⋊5SD16φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:9C2128,446
C8⋊C8⋊10C2 = C8⋊6SD16φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:10C2128,447
C8⋊C8⋊11C2 = C42.664C23φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:11C2128,449
C8⋊C8⋊12C2 = C42.666C23φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:12C2128,451
C8⋊C8⋊13C2 = C42.667C23φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:13C2128,452
C8⋊C8⋊14C2 = C8⋊3D8φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:14C2128,453
C8⋊C8⋊15C2 = C8.2D8φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:15C2128,454
C8⋊C8⋊16C2 = C8⋊9D8φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:16C2128,313
C8⋊C8⋊17C2 = C8⋊12SD16φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:17C2128,314
C8⋊C8⋊18C2 = C8⋊15SD16φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:18C2128,315
C8⋊C8⋊19C2 = C8⋊9M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:19C2128,183
C8⋊C8⋊20C2 = C23.27C42φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:20C2128,184
C8⋊C8⋊21C2 = C82⋊15C2φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:21C2128,185
C8⋊C8⋊22C2 = C82⋊2C2φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:22C2128,186
C8⋊C8⋊23C2 = C8⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊C864C8:C8:23C2128,187
C8⋊C8⋊24C2 = C8×M4(2)φ: trivial image64C8:C8:24C2128,181
C8⋊C8⋊25C2 = C82⋊C2φ: trivial image64C8:C8:25C2128,182

Non-split extensions G=N.Q with N=C8⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊C8.1C2 = Q16⋊5C8φ: C2/C1 → C2 ⊆ Out C8⋊C8128C8:C8.1C2128,311
C8⋊C8.2C2 = Q8.M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊C8128C8:C8.2C2128,319
C8⋊C8.3C2 = C8.M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊C8128C8:C8.3C2128,325
C8⋊C8.4C2 = C8.9SD16φ: C2/C1 → C2 ⊆ Out C8⋊C8128C8:C8.4C2128,448
C8⋊C8.5C2 = C42.665C23φ: C2/C1 → C2 ⊆ Out C8⋊C8128C8:C8.5C2128,450
C8⋊C8.6C2 = C8⋊3Q16φ: C2/C1 → C2 ⊆ Out C8⋊C8128C8:C8.6C2128,455
C8⋊C8.7C2 = C8⋊9Q16φ: C2/C1 → C2 ⊆ Out C8⋊C8128C8:C8.7C2128,316
C8⋊C8.8C2 = C16⋊C8φ: C2/C1 → C2 ⊆ Out C8⋊C8128C8:C8.8C2128,45

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