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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
3
and Q=
C
3
Direct product G=NxQ with N=
C
5
3
and Q=
C
3
d
ρ
Label
ID
C
5
2
xC
15
375
C5^2xC15
375,7
Semidirect products G=N:Q with N=
C
5
3
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
3
:C
3
=
C
5
xC
5
2
:C
3
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
5
3
15
3
C5^3:C3
375,6
x
:
Z
F
o
wr
Q
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