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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
2
xQ
8
Direct product G=NxQ with N=
C
5
and Q=
C
2
xQ
8
d
ρ
Label
ID
Q
8
xC
10
80
Q8xC10
80,47
Semidirect products G=N:Q with N=
C
5
and Q=
C
2
xQ
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:
1
(C
2
xQ
8
) =
C
2
xDic
10
φ:
C
2
xQ
8
/
C
2
xC
4
→
C
2
⊆ Aut
C
5
80
C5:1(C2xQ8)
80,35
C
5
:
2
(C
2
xQ
8
) =
Q
8
xD
5
φ:
C
2
xQ
8
/
Q
8
→
C
2
⊆ Aut
C
5
40
4-
C5:2(C2xQ8)
80,41
x
:
Z
F
o
wr
Q
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