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About
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
5
xS
3
and Q=
C
8
Direct product G=NxQ with N=
C
5
xS
3
and Q=
C
8
d
ρ
Label
ID
S
3
xC
40
120
2
S3xC40
240,49
Semidirect products G=N:Q with N=
C
5
xS
3
and Q=
C
8
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xS
3
):C
8
=
S
3
xC
5
:C
8
φ:
C
8
/
C
2
→
C
4
⊆ Out
C
5
xS
3
120
8-
(C5xS3):C8
240,98
(C
5
xS
3
):
2
C
8
=
S
3
xC
5
:
2
C
8
φ:
C
8
/
C
4
→
C
2
⊆ Out
C
5
xS
3
120
4
(C5xS3):2C8
240,8
x
:
Z
F
o
wr
Q
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