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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
5
xS
3
and Q=
C
4
2
Direct product G=NxQ with N=
C
5
xS
3
and Q=
C
4
2
d
ρ
Label
ID
S
3
xC
4
xC
20
240
S3xC4xC20
480,750
Semidirect products G=N:Q with N=
C
5
xS
3
and Q=
C
4
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xS
3
):C
4
2
=
C
4
xS
3
xF
5
φ:
C
4
2
/
C
4
→
C
4
⊆ Out
C
5
xS
3
60
8
(C5xS3):C4^2
480,994
(C
5
xS
3
):
2
C
4
2
=
C
4
xS
3
xDic
5
φ:
C
4
2
/
C
2
xC
4
→
C
2
⊆ Out
C
5
xS
3
240
(C5xS3):2C4^2
480,473
x
:
Z
F
o
wr
Q
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