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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
9
and Q=
S
3
Direct product G=NxQ with N=
C
9
and Q=
S
3
d
ρ
Label
ID
S
3
xC
9
18
2
S3xC9
54,4
Semidirect products G=N:Q with N=
C
9
and Q=
S
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
:S
3
=
C
9
:S
3
φ:
S
3
/
C
3
→
C
2
⊆ Aut
C
9
27
C9:S3
54,7
Non-split extensions G=N.Q with N=
C
9
and Q=
S
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
.S
3
=
D
27
φ:
S
3
/
C
3
→
C
2
⊆ Aut
C
9
27
2+
C9.S3
54,1
x
:
Z
F
o
wr
Q
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