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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
3
and Q=
Dic
20
Direct product G=NxQ with N=
C
3
and Q=
Dic
20
d
ρ
Label
ID
C
3
xDic
20
240
2
C3xDic20
240,37
Semidirect products G=N:Q with N=
C
3
and Q=
Dic
20
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
Dic
20
=
Dic
60
φ:
Dic
20
/
C
40
→
C
2
⊆ Aut
C
3
240
2-
C3:1Dic20
240,69
C
3
:
2
Dic
20
=
C
3
:Dic
20
φ:
Dic
20
/
Dic
10
→
C
2
⊆ Aut
C
3
240
4-
C3:2Dic20
240,23
x
:
Z
F
o
wr
Q
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