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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=
D
5
Direct product G=NxQ with N=
He
3
and Q=
D
5
d
ρ
Label
ID
D
5
xHe
3
45
6
D5xHe3
270,6
Semidirect products G=N:Q with N=
He
3
and Q=
D
5
extension
φ:Q→Out N
d
ρ
Label
ID
He
3
:
1
D
5
=
He
3
:D
5
φ:
D
5
/
C
5
→
C
2
⊆ Out
He
3
45
6+
He3:1D5
270,14
He
3
:
2
D
5
=
C
3
2
:D
15
φ:
D
5
/
C
5
→
C
2
⊆ Out
He
3
45
6
He3:2D5
270,19
x
:
Z
F
o
wr
Q
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