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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
xS
3
and Q=
C
2
xC
10
Direct product G=NxQ with N=
C
3
xS
3
and Q=
C
2
xC
10
d
ρ
Label
ID
S
3
xC
2
xC
30
120
S3xC2xC30
360,158
Semidirect products G=N:Q with N=
C
3
xS
3
and Q=
C
2
xC
10
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
xS
3
):(C
2
xC
10
) =
S
3
2
xC
10
φ:
C
2
xC
10
/
C
10
→
C
2
⊆ Out
C
3
xS
3
60
4
(C3xS3):(C2xC10)
360,153
x
:
Z
F
o
wr
Q
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