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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
.A
4
and Q=
C
2
3
Direct product G=NxQ with N=
C
3
.A
4
and Q=
C
2
3
d
ρ
Label
ID
C
2
3
xC
3
.A
4
72
C2^3xC3.A4
288,837
Semidirect products G=N:Q with N=
C
3
.A
4
and Q=
C
2
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
.A
4
:C
2
3
=
C
2
2
xC
3
.S
4
φ:
C
2
3
/
C
2
2
→
C
2
⊆ Out
C
3
.A
4
36
C3.A4:C2^3
288,835
x
:
Z
F
o
wr
Q
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