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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
3
xD
8
Direct product G=NxQ with N=
C
5
and Q=
C
3
xD
8
d
ρ
Label
ID
C
15
xD
8
120
2
C15xD8
240,86
Semidirect products G=N:Q with N=
C
5
and Q=
C
3
xD
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:
1
(C
3
xD
8
) =
C
3
xD
40
φ:
C
3
xD
8
/
C
24
→
C
2
⊆ Aut
C
5
120
2
C5:1(C3xD8)
240,36
C
5
:
2
(C
3
xD
8
) =
C
3
xD
4
:D
5
φ:
C
3
xD
8
/
C
3
xD
4
→
C
2
⊆ Aut
C
5
120
4
C5:2(C3xD8)
240,44
x
:
Z
F
o
wr
Q
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