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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=
Q
8
:
3
S
3
and Q=
C
9
Direct product G=NxQ with N=
Q
8
:
3
S
3
and Q=
C
9
d
ρ
Label
ID
C
9
xQ
8
:
3
S
3
144
4
C9xQ8:3S3
432,367
Semidirect products G=N:Q with N=
Q
8
:
3
S
3
and Q=
C
9
extension
φ:Q→Out N
d
ρ
Label
ID
Q
8
:
3
S
3
:C
9
=
Q
8
:C
9
:
3
S
3
φ:
C
9
/
C
3
→
C
3
⊆ Out
Q
8
:
3
S
3
144
4
Q8:3S3:C9
432,267
x
:
Z
F
o
wr
Q
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