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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
3
and Q=
M
5
(2)
Direct product G=NxQ with N=
C
3
and Q=
M
5
(2)
d
ρ
Label
ID
C
3
xM
5
(2)
48
2
C3xM5(2)
96,60
Semidirect products G=N:Q with N=
C
3
and Q=
M
5
(2)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
M
5
(2) =
D
6
.C
8
φ:
M
5
(2)
/
C
16
→
C
2
⊆ Aut
C
3
48
2
C3:1M5(2)
96,5
C
3
:
2
M
5
(2) =
C
12
.C
8
φ:
M
5
(2)
/
C
2
xC
8
→
C
2
⊆ Aut
C
3
48
2
C3:2M5(2)
96,19
x
:
Z
F
o
wr
Q
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