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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
3
2
and Q=
C
5
xC
10
Direct product G=NxQ with N=
C
3
2
and Q=
C
5
xC
10
d
ρ
Label
ID
C
15
xC
30
450
C15xC30
450,34
Semidirect products G=N:Q with N=
C
3
2
and Q=
C
5
xC
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
:
1
(C
5
xC
10
) =
S
3
xC
5
xC
15
φ:
C
5
xC
10
/
C
5
2
→
C
2
⊆ Aut
C
3
2
150
C3^2:1(C5xC10)
450,28
C
3
2
:
2
(C
5
xC
10
) =
C
3
:S
3
xC
5
2
φ:
C
5
xC
10
/
C
5
2
→
C
2
⊆ Aut
C
3
2
225
C3^2:2(C5xC10)
450,31
x
:
Z
F
o
wr
Q
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