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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
xC
3
:S
3
and Q=
C
5
Direct product G=NxQ with N=
C
5
xC
3
:S
3
and Q=
C
5
d
ρ
Label
ID
C
3
:S
3
xC
5
2
225
C3:S3xC5^2
450,31
Non-split extensions G=N.Q with N=
C
5
xC
3
:S
3
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xC
3
:S
3
).C
5
=
C
3
:S
3
xC
25
φ: trivial image
225
(C5xC3:S3).C5
450,8
x
:
Z
F
o
wr
Q
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