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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
4
xDic
5
Direct product G=NxQ with N=
C
3
and Q=
C
4
xDic
5
d
ρ
Label
ID
C
12
xDic
5
240
C12xDic5
240,40
Semidirect products G=N:Q with N=
C
3
and Q=
C
4
xDic
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
4
xDic
5
) =
Dic
3
xDic
5
φ:
C
4
xDic
5
/
C
2
xDic
5
→
C
2
⊆ Aut
C
3
240
C3:1(C4xDic5)
240,25
C
3
:
2
(C
4
xDic
5
) =
C
4
xDic
15
φ:
C
4
xDic
5
/
C
2
xC
20
→
C
2
⊆ Aut
C
3
240
C3:2(C4xDic5)
240,72
x
:
Z
F
o
wr
Q
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