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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
5
and Q=
C
2
4
:C
5
Direct product G=NxQ with N=
C
5
and Q=
C
2
4
:C
5
d
ρ
Label
ID
C
5
xC
2
4
:C
5
50
5
C5xC2^4:C5
400,213
Non-split extensions G=N.Q with N=
C
5
and Q=
C
2
4
:C
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
.(C
2
4
:C
5
) =
C
2
4
:C
25
central extension (φ=1)
50
5
C5.(C2^4:C5)
400,52
x
:
Z
F
o
wr
Q
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