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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
27
and Q=
C
2
2
Direct product G=NxQ with N=
C
27
and Q=
C
2
2
d
ρ
Label
ID
C
2
xC
54
108
C2xC54
108,5
Semidirect products G=N:Q with N=
C
27
and Q=
C
2
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
27
:C
2
2
=
D
54
φ:
C
2
2
/
C
2
→
C
2
⊆ Aut
C
27
54
2+
C27:C2^2
108,4
x
:
Z
F
o
wr
Q
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