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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
2
2
and Q=
C
50
Direct product G=NxQ with N=
C
2
2
and Q=
C
50
d
ρ
Label
ID
C
2
2
xC
50
200
C2^2xC50
200,14
Semidirect products G=N:Q with N=
C
2
2
and Q=
C
50
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
:C
50
=
D
4
xC
25
φ:
C
50
/
C
25
→
C
2
⊆ Aut
C
2
2
100
2
C2^2:C50
200,10
x
:
Z
F
o
wr
Q
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