Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C8⋊2C8 and Q=C2

Direct product G=N×Q with N=C8⋊2C8 and Q=C2
dρLabelID
C2×C8⋊2C8128C2xC8:2C8128,294

Semidirect products G=N:Q with N=C8⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊2C8⋊1C2 = C8.30D8φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:1C2128,92
C8⋊2C8⋊2C2 = C8⋊8D8φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:2C2128,397
C8⋊2C8⋊3C2 = D4.2SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:3C2128,409
C8⋊2C8⋊4C2 = Q8.2SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:4C2128,410
C8⋊2C8⋊5C2 = D4.3SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:5C2128,411
C8⋊2C8⋊6C2 = D8⋊C8φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:6C2128,65
C8⋊2C8⋊7C2 = M4(2)⋊1C8φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:7C2128,297
C8⋊2C8⋊8C2 = C8⋊1M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:8C2128,301
C8⋊2C8⋊9C2 = C42.92D4φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:9C2128,305
C8⋊2C8⋊10C2 = C42.21Q8φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:10C2128,306
C8⋊2C8⋊11C2 = D8⋊5C8φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:11C2128,312
C8⋊2C8⋊12C2 = D4⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:12C2128,318
C8⋊2C8⋊13C2 = C8⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:13C2128,326
C8⋊2C8⋊14C2 = C8⋊2D8φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:14C2128,419
C8⋊2C8⋊15C2 = C8⋊2SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:15C2128,420
C8⋊2C8⋊16C2 = C8.D8φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:16C2128,421
C8⋊2C8⋊17C2 = C8⋊4SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:17C2128,425
C8⋊2C8⋊18C2 = C8.8SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:18C2128,427
C8⋊2C8⋊19C2 = C42.252C23φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:19C2128,433
C8⋊2C8⋊20C2 = C42.253C23φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:20C2128,434
C8⋊2C8⋊21C2 = C42.254C23φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:21C2128,435
C8⋊2C8⋊22C2 = C8⋊14SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:22C2128,398
C8⋊2C8⋊23C2 = C8⋊11SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:23C2128,403
C8⋊2C8⋊24C2 = C8⋊8M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:24C2128,298
C8⋊2C8⋊25C2 = C42.43Q8φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:25C2128,300
C8⋊2C8⋊26C2 = C42.90D4φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:26C2128,302
C8⋊2C8⋊27C2 = C42.Q8φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:27C2128,304
C8⋊2C8⋊28C2 = C8⋊12SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:28C2128,314
C8⋊2C8⋊29C2 = C8⋊15SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:29C2128,315
C8⋊2C8⋊30C2 = C8⋊9SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C864C8:2C8:30C2128,322
C8⋊2C8⋊31C2 = C42.42Q8φ: trivial image64C8:2C8:31C2128,296
C8⋊2C8⋊32C2 = C8×SD16φ: trivial image64C8:2C8:32C2128,308

Non-split extensions G=N.Q with N=C8⋊2C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊2C8.1C2 = C8.16Q16φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.1C2128,95
C8⋊2C8.2C2 = C8⋊8Q16φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.2C2128,404
C8⋊2C8.3C2 = Q8.3SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.3C2128,412
C8⋊2C8.4C2 = Q16⋊C8φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.4C2128,66
C8⋊2C8.5C2 = Q16⋊5C8φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.5C2128,311
C8⋊2C8.6C2 = Q8.M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.6C2128,319
C8⋊2C8.7C2 = C8.M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.7C2128,325
C8⋊2C8.8C2 = C8.SD16φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.8C2128,422
C8⋊2C8.9C2 = C8⋊2Q16φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.9C2128,426
C8⋊2C8.10C2 = C8.3Q16φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.10C2128,428
C8⋊2C8.11C2 = C42.255C23φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.11C2128,436
C8⋊2C8.12C2 = C16⋊1C8φ: C2/C1 → C2 ⊆ Out C8⋊2C8128C8:2C8.12C2128,100

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁