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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
8
:C
4
Direct product G=NxQ with N=
D
5
and Q=
C
8
:C
4
d
ρ
Label
ID
D
5
xC
8
:C
4
160
D5xC8:C4
320,331
Semidirect products G=N:Q with N=
D
5
and Q=
C
8
:C
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
:
1
(C
8
:C
4
) =
C
4
2
.
5
F
5
φ:
C
8
:C
4
/
C
4
2
→
C
2
⊆ Out
D
5
160
D5:1(C8:C4)
320,1014
D
5
:
2
(C
8
:C
4
) =
C
2
xC
8
:F
5
φ:
C
8
:C
4
/
C
2
xC
8
→
C
2
⊆ Out
D
5
80
D5:2(C8:C4)
320,1055
x
:
Z
F
o
wr
Q
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