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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
5
and Q=
C
2
2
xD
9
Direct product G=NxQ with N=
C
5
and Q=
C
2
2
xD
9
d
ρ
Label
ID
D
9
xC
2
xC
10
180
D9xC2xC10
360,48
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
2
xD
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:
1
(C
2
2
xD
9
) =
C
2
xD
5
xD
9
φ:
C
2
2
xD
9
/
D
18
→
C
2
⊆ Aut
C
5
90
4+
C5:1(C2^2xD9)
360,45
C
5
:
2
(C
2
2
xD
9
) =
C
2
2
xD
45
φ:
C
2
2
xD
9
/
C
2
xC
18
→
C
2
⊆ Aut
C
5
180
C5:2(C2^2xD9)
360,49
x
:
Z
F
o
wr
Q
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