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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
4
xC
3
:S
3
and Q=
C
3
Direct product G=NxQ with N=
C
4
xC
3
:S
3
and Q=
C
3
d
ρ
Label
ID
C
12
xC
3
:S
3
72
C12xC3:S3
216,141
Semidirect products G=N:Q with N=
C
4
xC
3
:S
3
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
4
xC
3
:S
3
):C
3
=
C
4
xC
3
2
:C
6
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
4
xC
3
:S
3
36
6
(C4xC3:S3):C3
216,50
x
:
Z
F
o
wr
Q
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