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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=
D
5
2
Direct product G=NxQ with N=
C
3
and Q=
D
5
2
d
ρ
Label
ID
C
3
xD
5
2
30
4
C3xD5^2
300,36
Semidirect products G=N:Q with N=
C
3
and Q=
D
5
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
D
5
2
=
D
5
xD
15
φ:
D
5
2
/
C
5
xD
5
→
C
2
⊆ Aut
C
3
30
4+
C3:1D5^2
300,39
C
3
:
2
D
5
2
=
D
15
:D
5
φ:
D
5
2
/
C
5
:D
5
→
C
2
⊆ Aut
C
3
30
4
C3:2D5^2
300,40
x
:
Z
F
o
wr
Q
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