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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
4
(2)
Direct product G=NxQ with N=
C
3
and Q=
M
4
(2)
d
ρ
Label
ID
C
3
xM
4
(2)
24
2
C3xM4(2)
48,24
Semidirect products G=N:Q with N=
C
3
and Q=
M
4
(2)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
M
4
(2) =
C
8
:S
3
φ:
M
4
(2)
/
C
8
→
C
2
⊆ Aut
C
3
24
2
C3:1M4(2)
48,5
C
3
:
2
M
4
(2) =
C
4
.Dic
3
φ:
M
4
(2)
/
C
2
xC
4
→
C
2
⊆ Aut
C
3
24
2
C3:2M4(2)
48,10
x
:
Z
F
o
wr
Q
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