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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr
Extensions
1→N→G→Q→1 with N=
C
23
and Q=
C
2
xC
8
Direct product G=NxQ with N=
C
23
and Q=
C
2
xC
8
d
ρ
Label
ID
C
2
xC
184
368
C2xC184
368,22
Semidirect products G=N:Q with N=
C
23
and Q=
C
2
xC
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
23
:
1
(C
2
xC
8
) =
C
8
xD
23
φ:
C
2
xC
8
/
C
8
→
C
2
⊆ Aut
C
23
184
2
C23:1(C2xC8)
368,3
C
23
:
2
(C
2
xC
8
) =
C
2
xC
23
:C
8
φ:
C
2
xC
8
/
C
2
xC
4
→
C
2
⊆ Aut
C
23
368
C23:2(C2xC8)
368,8
x
:
Z
F
o
wr
Q
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