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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
2
5
and Q=
C
9
Direct product G=NxQ with N=
C
2
5
and Q=
C
9
d
ρ
Label
ID
C
2
4
xC
18
288
C2^4xC18
288,840
Semidirect products G=N:Q with N=
C
2
5
and Q=
C
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
5
:
1
C
9
=
C
2
3
xC
3
.A
4
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
2
5
72
C2^5:1C9
288,837
C
2
5
:
2
C
9
=
C
2
xC
2
4
:C
9
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
2
5
36
C2^5:2C9
288,838
x
:
Z
F
o
wr
Q
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