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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
and Q=
C
2
3
xA
4
Direct product G=NxQ with N=
C
5
and Q=
C
2
3
xA
4
d
ρ
Label
ID
A
4
xC
2
2
xC
10
120
A4xC2^2xC10
480,1208
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
3
xA
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
2
3
xA
4
) =
C
2
2
xD
5
xA
4
φ:
C
2
3
xA
4
/
C
2
2
xA
4
→
C
2
⊆ Aut
C
5
60
C5:(C2^3xA4)
480,1202
x
:
Z
F
o
wr
Q
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