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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=
C
2
2
xC
4
Direct product G=NxQ with N=
C
9
and Q=
C
2
2
xC
4
d
ρ
Label
ID
C
2
2
xC
36
144
C2^2xC36
144,47
Semidirect products G=N:Q with N=
C
9
and Q=
C
2
2
xC
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
:
1
(C
2
2
xC
4
) =
C
2
xC
4
xD
9
φ:
C
2
2
xC
4
/
C
2
xC
4
→
C
2
⊆ Aut
C
9
72
C9:1(C2^2xC4)
144,38
C
9
:
2
(C
2
2
xC
4
) =
C
2
2
xDic
9
φ:
C
2
2
xC
4
/
C
2
3
→
C
2
⊆ Aut
C
9
144
C9:2(C2^2xC4)
144,45
x
:
Z
F
o
wr
Q
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