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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
3
3
:C
2
Direct product G=NxQ with N=
C
5
and Q=
C
3
3
:C
2
d
ρ
Label
ID
C
5
xC
3
3
:C
2
135
C5xC3^3:C2
270,28
Semidirect products G=N:Q with N=
C
5
and Q=
C
3
3
:C
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
3
3
:C
2
) =
C
3
3
:D
5
φ:
C
3
3
:C
2
/
C
3
3
→
C
2
⊆ Aut
C
5
135
C5:(C3^3:C2)
270,29
x
:
Z
F
o
wr
Q
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