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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=
D
40
Direct product G=NxQ with N=
C
3
and Q=
D
40
d
ρ
Label
ID
C
3
xD
40
120
2
C3xD40
240,36
Semidirect products G=N:Q with N=
C
3
and Q=
D
40
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
D
40
=
D
120
φ:
D
40
/
C
40
→
C
2
⊆ Aut
C
3
120
2+
C3:1D40
240,68
C
3
:
2
D
40
=
C
3
:D
40
φ:
D
40
/
D
20
→
C
2
⊆ Aut
C
3
120
4+
C3:2D40
240,14
x
:
Z
F
o
wr
Q
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