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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
xS
3
and Q=
C
2
xC
4
Direct product G=NxQ with N=
C
3
xS
3
and Q=
C
2
xC
4
d
ρ
Label
ID
S
3
xC
2
xC
12
48
S3xC2xC12
144,159
Semidirect products G=N:Q with N=
C
3
xS
3
and Q=
C
2
xC
4
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
xS
3
):
1
(C
2
xC
4
) =
C
4
xS
3
2
φ:
C
2
xC
4
/
C
4
→
C
2
⊆ Out
C
3
xS
3
24
4
(C3xS3):1(C2xC4)
144,143
(C
3
xS
3
):
2
(C
2
xC
4
) =
C
2
xS
3
xDic
3
φ:
C
2
xC
4
/
C
2
2
→
C
2
⊆ Out
C
3
xS
3
48
(C3xS3):2(C2xC4)
144,146
x
:
Z
F
o
wr
Q
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