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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
40
:
5
C
4
Direct product G=NxQ with N=
C
3
and Q=
C
40
:
5
C
4
d
ρ
Label
ID
C
3
xC
40
:
5
C
4
480
C3xC40:5C4
480,96
Semidirect products G=N:Q with N=
C
3
and Q=
C
40
:
5
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
40
:
5
C
4
) =
C
60
.
5
Q
8
φ:
C
40
:
5
C
4
/
C
4
:Dic
5
→
C
2
⊆ Aut
C
3
480
C3:1(C40:5C4)
480,66
C
3
:
2
(C
40
:
5
C
4
) =
C
120
:
9
C
4
φ:
C
40
:
5
C
4
/
C
2
xC
40
→
C
2
⊆ Aut
C
3
480
C3:2(C40:5C4)
480,178
x
:
Z
F
o
wr
Q
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