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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
50
and Q=
C
5
Direct product G=NxQ with N=
C
50
and Q=
C
5
d
ρ
Label
ID
C
5
xC
50
250
C5xC50
250,9
Semidirect products G=N:Q with N=
C
50
and Q=
C
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
50
:C
5
=
C
2
x5
-
1+2
φ:
C
5
/
C
1
→
C
5
⊆ Aut
C
50
50
5
C50:C5
250,11
x
:
Z
F
o
wr
Q
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