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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
15
and Q=
C
3
Direct product G=NxQ with N=
S
3
xC
15
and Q=
C
3
d
ρ
Label
ID
S
3
xC
3
xC
15
90
S3xC3xC15
270,24
Non-split extensions G=N.Q with N=
S
3
xC
15
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
xC
15
).C
3
=
S
3
xC
45
φ: trivial image
90
2
(S3xC15).C3
270,9
x
:
Z
F
o
wr
Q
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