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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
3
and Q=
C
5
xC
20
Direct product G=NxQ with N=
C
3
and Q=
C
5
xC
20
d
ρ
Label
ID
C
5
xC
60
300
C5xC60
300,21
Semidirect products G=N:Q with N=
C
3
and Q=
C
5
xC
20
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:(C
5
xC
20
) =
Dic
3
xC
5
2
φ:
C
5
xC
20
/
C
5
xC
10
→
C
2
⊆ Aut
C
3
300
C3:(C5xC20)
300,18
x
:
Z
F
o
wr
Q
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