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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
54
and Q=
C
3
Direct product G=NxQ with N=
C
54
and Q=
C
3
d
ρ
Label
ID
C
3
xC
54
162
C3xC54
162,26
Semidirect products G=N:Q with N=
C
54
and Q=
C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
54
:C
3
=
C
2
xC
27
:C
3
φ:
C
3
/
C
1
→
C
3
⊆ Aut
C
54
54
3
C54:C3
162,27
x
:
Z
F
o
wr
Q
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