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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
xC
4
2
Direct product G=NxQ with N=
C
9
and Q=
C
2
xC
4
2
d
ρ
Label
ID
C
2
xC
4
xC
36
288
C2xC4xC36
288,164
Semidirect products G=N:Q with N=
C
9
and Q=
C
2
xC
4
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
:
1
(C
2
xC
4
2
) =
C
4
2
xD
9
φ:
C
2
xC
4
2
/
C
4
2
→
C
2
⊆ Aut
C
9
144
C9:1(C2xC4^2)
288,81
C
9
:
2
(C
2
xC
4
2
) =
C
2
xC
4
xDic
9
φ:
C
2
xC
4
2
/
C
2
2
xC
4
→
C
2
⊆ Aut
C
9
288
C9:2(C2xC4^2)
288,132
x
:
Z
F
o
wr
Q
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