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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=
A
4
and Q=
C
10
Direct product G=NxQ with N=
A
4
and Q=
C
10
d
ρ
Label
ID
C
10
xA
4
30
3
C10xA4
120,43
Semidirect products G=N:Q with N=
A
4
and Q=
C
10
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
:C
10
=
C
5
xS
4
φ:
C
10
/
C
5
→
C
2
⊆ Out
A
4
20
3
A4:C10
120,37
x
:
Z
F
o
wr
Q
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