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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
3
3
:C
2
and Q=
C
9
Direct product G=NxQ with N=
C
3
3
:C
2
and Q=
C
9
d
ρ
Label
ID
C
9
xC
3
3
:C
2
162
C9xC3^3:C2
486,241
Semidirect products G=N:Q with N=
C
3
3
:C
2
and Q=
C
9
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
3
:C
2
:
1
C
9
=
C
3
3
:
1
C
18
φ:
C
9
/
C
3
→
C
3
⊆ Out
C
3
3
:C
2
18
6
C3^3:C2:1C9
486,18
C
3
3
:C
2
:
2
C
9
=
C
3
3
:C
18
φ:
C
9
/
C
3
→
C
3
⊆ Out
C
3
3
:C
2
54
C3^3:C2:2C9
486,136
x
:
Z
F
o
wr
Q
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