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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
16
Direct product G=NxQ with N=
C
9
and Q=
C
2
xC
16
d
ρ
Label
ID
C
2
xC
144
288
C2xC144
288,59
Semidirect products G=N:Q with N=
C
9
and Q=
C
2
xC
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
:
1
(C
2
xC
16
) =
C
16
xD
9
φ:
C
2
xC
16
/
C
16
→
C
2
⊆ Aut
C
9
144
2
C9:1(C2xC16)
288,4
C
9
:
2
(C
2
xC
16
) =
C
2
xC
9
:C
16
φ:
C
2
xC
16
/
C
2
xC
8
→
C
2
⊆ Aut
C
9
288
C9:2(C2xC16)
288,18
x
:
Z
F
o
wr
Q
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