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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
4
:
1
D
4
Direct product G=NxQ with N=
C
9
and Q=
C
4
:
1
D
4
d
ρ
Label
ID
C
9
xC
4
:
1
D
4
144
C9xC4:1D4
288,177
Semidirect products G=N:Q with N=
C
9
and Q=
C
4
:
1
D
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
:
1
(C
4
:
1
D
4
) =
C
4
2
:
6
D
9
φ:
C
4
:
1
D
4
/
C
4
2
→
C
2
⊆ Aut
C
9
144
C9:1(C4:1D4)
288,84
C
9
:
2
(C
4
:
1
D
4
) =
C
36
:D
4
φ:
C
4
:
1
D
4
/
C
2
xD
4
→
C
2
⊆ Aut
C
9
144
C9:2(C4:1D4)
288,150
x
:
Z
F
o
wr
Q
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