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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=
D
8
Direct product G=NxQ with N=
C
5
and Q=
D
8
d
ρ
Label
ID
C
5
xD
8
40
2
C5xD8
80,25
Semidirect products G=N:Q with N=
C
5
and Q=
D
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:
1
D
8
=
D
40
φ:
D
8
/
C
8
→
C
2
⊆ Aut
C
5
40
2+
C5:1D8
80,7
C
5
:
2
D
8
=
D
4
:D
5
φ:
D
8
/
D
4
→
C
2
⊆ Aut
C
5
40
4+
C5:2D8
80,15
x
:
Z
F
o
wr
Q
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