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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
2
2
and Q=
C
27
Direct product G=NxQ with N=
C
2
2
and Q=
C
27
d
ρ
Label
ID
C
2
xC
54
108
C2xC54
108,5
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
27
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
:C
27
=
C
9
.A
4
φ:
C
27
/
C
9
→
C
3
⊆ Aut
C
2
2
54
3
C2^2:C27
108,3
x
:
Z
F
o
wr
Q
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