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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
xS
3
and Q=
C
9
Direct product G=NxQ with N=
C
2
2
xS
3
and Q=
C
9
d
ρ
Label
ID
S
3
xC
2
xC
18
72
S3xC2xC18
216,109
Semidirect products G=N:Q with N=
C
2
2
xS
3
and Q=
C
9
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
xS
3
):C
9
=
S
3
xC
3
.A
4
φ:
C
9
/
C
3
→
C
3
⊆ Out
C
2
2
xS
3
36
6
(C2^2xS3):C9
216,98
x
:
Z
F
o
wr
Q
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