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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=
D
5
and Q=
C
5
:C
8
Direct product G=NxQ with N=
D
5
and Q=
C
5
:C
8
d
ρ
Label
ID
D
5
xC
5
:C
8
80
8-
D5xC5:C8
400,120
Semidirect products G=N:Q with N=
D
5
and Q=
C
5
:C
8
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
:(C
5
:C
8
) =
D
10
.
2
F
5
φ:
C
5
:C
8
/
Dic
5
→
C
2
⊆ Out
D
5
80
8-
D5:(C5:C8)
400,127
x
:
Z
F
o
wr
Q
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