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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
5
and Q=
C
3
:Dic
3
Direct product G=NxQ with N=
C
5
and Q=
C
3
:Dic
3
d
ρ
Label
ID
C
5
xC
3
:Dic
3
180
C5xC3:Dic3
180,16
Semidirect products G=N:Q with N=
C
5
and Q=
C
3
:Dic
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:(C
3
:Dic
3
) =
C
3
2
:
3
F
5
φ:
C
3
:Dic
3
/
C
3
2
→
C
4
⊆ Aut
C
5
45
C5:(C3:Dic3)
180,22
C
5
:
2
(C
3
:Dic
3
) =
C
3
:Dic
15
φ:
C
3
:Dic
3
/
C
3
xC
6
→
C
2
⊆ Aut
C
5
180
C5:2(C3:Dic3)
180,17
x
:
Z
F
o
wr
Q
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