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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
2
xC
40
Direct product G=NxQ with N=
C
3
and Q=
C
2
xC
40
d
ρ
Label
ID
C
2
xC
120
240
C2xC120
240,84
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
xC
40
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
2
xC
40
) =
S
3
xC
40
φ:
C
2
xC
40
/
C
40
→
C
2
⊆ Aut
C
3
120
2
C3:1(C2xC40)
240,49
C
3
:
2
(C
2
xC
40
) =
C
10
xC
3
:C
8
φ:
C
2
xC
40
/
C
2
xC
20
→
C
2
⊆ Aut
C
3
240
C3:2(C2xC40)
240,54
x
:
Z
F
o
wr
Q
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