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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
:C
8
Direct product G=NxQ with N=
C
5
and Q=
C
3
:C
8
d
ρ
Label
ID
C
5
xC
3
:C
8
120
2
C5xC3:C8
120,1
Semidirect products G=N:Q with N=
C
5
and Q=
C
3
:C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
3
:C
8
) =
C
15
:C
8
φ:
C
3
:C
8
/
C
6
→
C
4
⊆ Aut
C
5
120
4
C5:(C3:C8)
120,7
C
5
:
2
(C
3
:C
8
) =
C
15
:
3
C
8
φ:
C
3
:C
8
/
C
12
→
C
2
⊆ Aut
C
5
120
2
C5:2(C3:C8)
120,3
x
:
Z
F
o
wr
Q
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