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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
2
3
and Q=
He
3
Direct product G=NxQ with N=
C
2
3
and Q=
He
3
d
ρ
Label
ID
C
2
3
xHe
3
72
C2^3xHe3
216,115
Semidirect products G=N:Q with N=
C
2
3
and Q=
He
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
3
:He
3
=
C
2
xC
3
2
:A
4
φ:
He
3
/
C
3
2
→
C
3
⊆ Aut
C
2
3
18
3
C2^3:He3
216,107
x
:
Z
F
o
wr
Q
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