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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=
C
2
xC
24
Direct product G=NxQ with N=
C
3
and Q=
C
2
xC
24
d
ρ
Label
ID
C
6
xC
24
144
C6xC24
144,104
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
xC
24
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
2
xC
24
) =
S
3
xC
24
φ:
C
2
xC
24
/
C
24
→
C
2
⊆ Aut
C
3
48
2
C3:1(C2xC24)
144,69
C
3
:
2
(C
2
xC
24
) =
C
6
xC
3
:C
8
φ:
C
2
xC
24
/
C
2
xC
12
→
C
2
⊆ Aut
C
3
48
C3:2(C2xC24)
144,74
x
:
Z
F
o
wr
Q
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