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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
xC
8
Direct product G=NxQ with N=
D
5
and Q=
C
4
xC
8
d
ρ
Label
ID
D
5
xC
4
xC
8
160
D5xC4xC8
320,311
Semidirect products G=N:Q with N=
D
5
and Q=
C
4
xC
8
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
:
1
(C
4
xC
8
) =
C
4
xD
5
:C
8
φ:
C
4
xC
8
/
C
4
2
→
C
2
⊆ Out
D
5
160
D5:1(C4xC8)
320,1013
D
5
:
2
(C
4
xC
8
) =
C
2
xC
8
xF
5
φ:
C
4
xC
8
/
C
2
xC
8
→
C
2
⊆ Out
D
5
80
D5:2(C4xC8)
320,1054
x
:
Z
F
o
wr
Q
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