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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=
S
3
xC
5
2
and Q=
C
2
Direct product G=NxQ with N=
S
3
xC
5
2
and Q=
C
2
d
ρ
Label
ID
S
3
xC
5
xC
10
150
S3xC5xC10
300,46
Semidirect products G=N:Q with N=
S
3
xC
5
2
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
xC
5
2
):
1
C
2
=
C
5
xS
3
xD
5
φ:
C
2
/
C
1
→
C
2
⊆ Out
S
3
xC
5
2
30
4
(S3xC5^2):1C2
300,37
(S
3
xC
5
2
):
2
C
2
=
S
3
xC
5
:D
5
φ:
C
2
/
C
1
→
C
2
⊆ Out
S
3
xC
5
2
75
(S3xC5^2):2C2
300,38
x
:
Z
F
o
wr
Q
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