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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
:
4
D
4
Direct product G=NxQ with N=
C
3
and Q=
C
20
:
4
D
4
d
ρ
Label
ID
C
3
xC
20
:
4
D
4
240
C3xC20:4D4
480,667
Semidirect products G=N:Q with N=
C
3
and Q=
C
20
:
4
D
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
20
:
4
D
4
) =
C
4
2
:
6
D
15
φ:
C
20
:
4
D
4
/
C
4
xC
20
→
C
2
⊆ Aut
C
3
240
C3:1(C20:4D4)
480,839
C
3
:
2
(C
20
:
4
D
4
) =
C
12
:D
20
φ:
C
20
:
4
D
4
/
C
2
xD
20
→
C
2
⊆ Aut
C
3
240
C3:2(C20:4D4)
480,534
x
:
Z
F
o
wr
Q
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