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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
25
and Q=
C
2
4
Direct product G=NxQ with N=
C
25
and Q=
C
2
4
d
ρ
Label
ID
C
2
3
xC
50
400
C2^3xC50
400,55
Semidirect products G=N:Q with N=
C
25
and Q=
C
2
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
25
:C
2
4
=
C
2
3
xD
25
φ:
C
2
4
/
C
2
3
→
C
2
⊆ Aut
C
25
200
C25:C2^4
400,54
x
:
Z
F
o
wr
Q
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