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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
:S
4
and Q=
C
4
Direct product G=NxQ with N=
C
5
:S
4
and Q=
C
4
d
ρ
Label
ID
C
4
xC
5
:S
4
60
6
C4xC5:S4
480,1025
Semidirect products G=N:Q with N=
C
5
:S
4
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
5
:S
4
:C
4
=
F
5
xS
4
φ:
C
4
/
C
1
→
C
4
⊆ Out
C
5
:S
4
20
12+
C5:S4:C4
480,1189
C
5
:S
4
:
2
C
4
=
Dic
5
:
2
S
4
φ:
C
4
/
C
2
→
C
2
⊆ Out
C
5
:S
4
60
6
C5:S4:2C4
480,977
x
:
Z
F
o
wr
Q
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