Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C8:4D4 and Q=C2

Direct product G=NxQ with N=C8:4D4 and Q=C2
dρLabelID
C2xC8:4D464C2xC8:4D4128,1876

Semidirect products G=N:Q with N=C8:4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8:4D4:1C2 = D4:D8φ: C2/C1 → C2 ⊆ Out C8:4D432C8:4D4:1C2128,351
C8:4D4:2C2 = Q8:D8φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:2C2128,353
C8:4D4:3C2 = C8:7D8φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:3C2128,399
C8:4D4:4C2 = C8:4D8φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:4C2128,444
C8:4D4:5C2 = C8:3D8φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:5C2128,453
C8:4D4:6C2 = D8:2D4φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:6C2128,938
C8:4D4:7C2 = C4:D16φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:7C2128,978
C8:4D4:8C2 = C42.263D4φ: C2/C1 → C2 ⊆ Out C8:4D432C8:4D4:8C2128,1937
C8:4D4:9C2 = C42.265D4φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:9C2128,1939
C8:4D4:10C2 = C42.406C23φ: C2/C1 → C2 ⊆ Out C8:4D432C8:4D4:10C2128,1952
C8:4D4:11C2 = D4xD8φ: C2/C1 → C2 ⊆ Out C8:4D432C8:4D4:11C2128,2011
C8:4D4:12C2 = Q16:13D4φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:12C2128,2019
C8:4D4:13C2 = Q8:5D8φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:13C2128,2123
C8:4D4:14C2 = C8:2D8φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:14C2128,419
C8:4D4:15C2 = D8:3D4φ: C2/C1 → C2 ⊆ Out C8:4D4164+C8:4D4:15C2128,945
C8:4D4:16C2 = C16:3D4φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:16C2128,982
C8:4D4:17C2 = M4(2):7D4φ: C2/C1 → C2 ⊆ Out C8:4D432C8:4D4:17C2128,1883
C8:4D4:18C2 = M4(2):11D4φ: C2/C1 → C2 ⊆ Out C8:4D432C8:4D4:18C2128,1887
C8:4D4:19C2 = C42.388C23φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:19C2128,1908
C8:4D4:20C2 = C42.261D4φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:20C2128,1916
C8:4D4:21C2 = SD16:1D4φ: C2/C1 → C2 ⊆ Out C8:4D432C8:4D4:21C2128,2006
C8:4D4:22C2 = D8oD8φ: C2/C1 → C2 ⊆ Out C8:4D4164+C8:4D4:22C2128,2024
C8:4D4:23C2 = C42.74C23φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4:23C2128,2131
C8:4D4:24C2 = C42.360D4φ: trivial image64C8:4D4:24C2128,1879
C8:4D4:25C2 = C42.366D4φ: trivial image64C8:4D4:25C2128,1901

Non-split extensions G=N.Q with N=C8:4D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8:4D4.1C2 = C4.D16φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.1C2128,93
C8:4D4.2C2 = C4:1D4:C4φ: C2/C1 → C2 ⊆ Out C8:4D4164+C8:4D4.2C2128,140
C8:4D4.3C2 = C42.181C23φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.3C2128,352
C8:4D4.4C2 = C8:13SD16φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.4C2128,400
C8:4D4.5C2 = C8:5D8φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.5C2128,438
C8:4D4.6C2 = C82:5C2φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.6C2128,441
C8:4D4.7C2 = C42.664C23φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.7C2128,449
C8:4D4.8C2 = Q16:2D4φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.8C2128,939
C8:4D4.9C2 = C4.4D16φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.9C2128,972
C8:4D4.10C2 = C16:5D4φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.10C2128,980
C8:4D4.11C2 = C42.530C23φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.11C2128,2128
C8:4D4.12C2 = C8.24D8φ: C2/C1 → C2 ⊆ Out C8:4D4164+C8:4D4.12C2128,89
C8:4D4.13C2 = C8:2SD16φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.13C2128,420
C8:4D4.14C2 = C8:6SD16φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.14C2128,447
C8:4D4.15C2 = C8.13SD16φ: C2/C1 → C2 ⊆ Out C8:4D464C8:4D4.15C2128,976

׿
x
:
Z
F
o
wr
Q
<