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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
20
:
3
C
8
Direct product G=NxQ with N=
C
3
and Q=
C
20
:
3
C
8
d
ρ
Label
ID
C
3
xC
20
:
3
C
8
480
C3xC20:3C8
480,82
Semidirect products G=N:Q with N=
C
3
and Q=
C
20
:
3
C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
20
:
3
C
8
) =
C
60
.
15
Q
8
φ:
C
20
:
3
C
8
/
C
2
xC
5
:
2
C
8
→
C
2
⊆ Aut
C
3
480
C3:1(C20:3C8)
480,60
C
3
:
2
(C
20
:
3
C
8
) =
C
60
:
5
C
8
φ:
C
20
:
3
C
8
/
C
4
xC
20
→
C
2
⊆ Aut
C
3
480
C3:2(C20:3C8)
480,164
x
:
Z
F
o
wr
Q
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