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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=
He
3
and Q=
C
14
Direct product G=NxQ with N=
He
3
and Q=
C
14
d
ρ
Label
ID
C
14
xHe
3
126
3
C14xHe3
378,45
Semidirect products G=N:Q with N=
He
3
and Q=
C
14
extension
φ:Q→Out N
d
ρ
Label
ID
He
3
:
1
C
14
=
C
7
xC
3
2
:C
6
φ:
C
14
/
C
7
→
C
2
⊆ Out
He
3
63
6
He3:1C14
378,34
He
3
:
2
C
14
=
C
7
xHe
3
:C
2
φ:
C
14
/
C
7
→
C
2
⊆ Out
He
3
63
3
He3:2C14
378,41
x
:
Z
F
o
wr
Q
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