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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
and Q=
D
5
xC
10
Direct product G=NxQ with N=
C
3
and Q=
D
5
xC
10
d
ρ
Label
ID
D
5
xC
30
60
2
D5xC30
300,44
Semidirect products G=N:Q with N=
C
3
and Q=
D
5
xC
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(D
5
xC
10
) =
C
5
xS
3
xD
5
φ:
D
5
xC
10
/
C
5
xD
5
→
C
2
⊆ Aut
C
3
30
4
C3:1(D5xC10)
300,37
C
3
:
2
(D
5
xC
10
) =
C
10
xD
15
φ:
D
5
xC
10
/
C
5
xC
10
→
C
2
⊆ Aut
C
3
60
2
C3:2(D5xC10)
300,47
x
:
Z
F
o
wr
Q
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