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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=
D
5
and Q=
C
5
xS
3
Direct product G=NxQ with N=
D
5
and Q=
C
5
xS
3
d
ρ
Label
ID
C
5
xS
3
xD
5
30
4
C5xS3xD5
300,37
Non-split extensions G=N.Q with N=
D
5
and Q=
C
5
xS
3
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(C
5
xS
3
) =
C
5
xC
3
:F
5
φ:
C
5
xS
3
/
C
15
→
C
2
⊆ Out
D
5
60
4
D5.(C5xS3)
300,32
x
:
Z
F
o
wr
Q
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