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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
2
and Q=
He
3
:C
3
Direct product G=NxQ with N=
C
2
2
and Q=
He
3
:C
3
d
ρ
Label
ID
C
2
2
xHe
3
:C
3
108
C2^2xHe3:C3
324,88
Semidirect products G=N:Q with N=
C
2
2
and Q=
He
3
:C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
:
1
(He
3
:C
3
) =
C
6
2
.
14
C
3
2
φ:
He
3
:C
3
/
C
3
xC
9
→
C
3
⊆ Aut
C
2
2
54
3
C2^2:1(He3:C3)
324,50
C
2
2
:
2
(He
3
:C
3
) =
He
3
:A
4
φ:
He
3
:C
3
/
He
3
→
C
3
⊆ Aut
C
2
2
54
9
C2^2:2(He3:C3)
324,54
x
:
Z
F
o
wr
Q
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