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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
xS
3
and Q=
C
10
Direct product G=NxQ with N=
C
5
xS
3
and Q=
C
10
d
ρ
Label
ID
S
3
xC
5
xC
10
150
S3xC5xC10
300,46
Semidirect products G=N:Q with N=
C
5
xS
3
and Q=
C
10
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xS
3
):C
10
=
C
5
xS
3
xD
5
φ:
C
10
/
C
5
→
C
2
⊆ Out
C
5
xS
3
30
4
(C5xS3):C10
300,37
Non-split extensions G=N.Q with N=
C
5
xS
3
and Q=
C
10
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xS
3
).C
10
=
S
3
xC
50
φ: trivial image
150
2
(C5xS3).C10
300,10
x
:
Z
F
o
wr
Q
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