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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
4
and Q=
C
25
Direct product G=NxQ with N=
C
2
4
and Q=
C
25
d
ρ
Label
ID
C
2
3
xC
50
400
C2^3xC50
400,55
Semidirect products G=N:Q with N=
C
2
4
and Q=
C
25
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
4
:C
25
=
C
2
4
:C
25
φ:
C
25
/
C
5
→
C
5
⊆ Aut
C
2
4
50
5
C2^4:C25
400,52
x
:
Z
F
o
wr
Q
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