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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=
D
9
and Q=
C
3
xQ
8
Direct product G=NxQ with N=
D
9
and Q=
C
3
xQ
8
d
ρ
Label
ID
C
3
xQ
8
xD
9
144
4
C3xQ8xD9
432,364
Semidirect products G=N:Q with N=
D
9
and Q=
C
3
xQ
8
extension
φ:Q→Out N
d
ρ
Label
ID
D
9
:(C
3
xQ
8
) =
Q
8
xC
9
:C
6
φ:
C
3
xQ
8
/
Q
8
→
C
3
⊆ Out
D
9
72
12-
D9:(C3xQ8)
432,370
x
:
Z
F
o
wr
Q
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