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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
and Q=
C
5
2
:
4
C
8
Direct product G=NxQ with N=
C
2
and Q=
C
5
2
:
4
C
8
d
ρ
Label
ID
C
2
xC
5
2
:
4
C
8
400
C2xC5^2:4C8
400,153
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
2
:
4
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
5
2
:
4
C
8
) =
C
5
2
:
4
C
16
central extension (φ=1)
400
C2.(C5^2:4C8)
400,58
x
:
Z
F
o
wr
Q
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