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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
4
:
1
D
4
Direct product G=NxQ with N=
C
5
and Q=
C
4
:
1
D
4
d
ρ
Label
ID
C
5
xC
4
:
1
D
4
80
C5xC4:1D4
160,188
Semidirect products G=N:Q with N=
C
5
and Q=
C
4
:
1
D
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:
1
(C
4
:
1
D
4
) =
C
20
:
4
D
4
φ:
C
4
:
1
D
4
/
C
4
2
→
C
2
⊆ Aut
C
5
80
C5:1(C4:1D4)
160,95
C
5
:
2
(C
4
:
1
D
4
) =
C
20
:D
4
φ:
C
4
:
1
D
4
/
C
2
xD
4
→
C
2
⊆ Aut
C
5
80
C5:2(C4:1D4)
160,161
x
:
Z
F
o
wr
Q
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