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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
20
Direct product G=NxQ with N=
C
5
and Q=
C
20
d
ρ
Label
ID
C
5
xC
20
100
C5xC20
100,8
Semidirect products G=N:Q with N=
C
5
and Q=
C
20
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:C
20
=
C
5
xF
5
φ:
C
20
/
C
5
→
C
4
⊆ Aut
C
5
20
4
C5:C20
100,9
C
5
:
2
C
20
=
C
5
xDic
5
φ:
C
20
/
C
10
→
C
2
⊆ Aut
C
5
20
2
C5:2C20
100,6
x
:
Z
F
o
wr
Q
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