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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=
C
2
xDic
5
Direct product G=NxQ with N=
C
3
and Q=
C
2
xDic
5
d
ρ
Label
ID
C
6
xDic
5
120
C6xDic5
120,19
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
xDic
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
2
xDic
5
) =
S
3
xDic
5
φ:
C
2
xDic
5
/
Dic
5
→
C
2
⊆ Aut
C
3
60
4-
C3:1(C2xDic5)
120,9
C
3
:
2
(C
2
xDic
5
) =
C
2
xDic
15
φ:
C
2
xDic
5
/
C
2
xC
10
→
C
2
⊆ Aut
C
3
120
C3:2(C2xDic5)
120,29
x
:
Z
F
o
wr
Q
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