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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
4
2
Direct product G=NxQ with N=
D
5
and Q=
C
4
2
d
ρ
Label
ID
D
5
xC
4
2
80
D5xC4^2
160,92
Semidirect products G=N:Q with N=
D
5
and Q=
C
4
2
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
:C
4
2
=
C
2
xC
4
xF
5
φ:
C
4
2
/
C
2
xC
4
→
C
2
⊆ Out
D
5
40
D5:C4^2
160,203
x
:
Z
F
o
wr
Q
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