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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=
Q
16
Direct product G=NxQ with N=
C
9
and Q=
Q
16
d
ρ
Label
ID
C
9
xQ
16
144
2
C9xQ16
144,27
Semidirect products G=N:Q with N=
C
9
and Q=
Q
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
:
1
Q
16
=
Dic
36
φ:
Q
16
/
C
8
→
C
2
⊆ Aut
C
9
144
2-
C9:1Q16
144,4
C
9
:
2
Q
16
=
C
9
:Q
16
φ:
Q
16
/
Q
8
→
C
2
⊆ Aut
C
9
144
4-
C9:2Q16
144,17
x
:
Z
F
o
wr
Q
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