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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
6
and Q=
C
54
Direct product G=NxQ with N=
C
6
and Q=
C
54
d
ρ
Label
ID
C
6
xC
54
324
C6xC54
324,84
Semidirect products G=N:Q with N=
C
6
and Q=
C
54
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
:C
54
=
S
3
xC
54
φ:
C
54
/
C
27
→
C
2
⊆ Aut
C
6
108
2
C6:C54
324,66
Non-split extensions G=N.Q with N=
C
6
and Q=
C
54
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
.C
54
=
Dic
3
xC
27
φ:
C
54
/
C
27
→
C
2
⊆ Aut
C
6
108
2
C6.C54
324,11
x
:
Z
F
o
wr
Q
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