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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
5
xS
3
and Q=
C
2
xC
6
Direct product G=NxQ with N=
C
5
xS
3
and Q=
C
2
xC
6
d
ρ
Label
ID
S
3
xC
2
xC
30
120
S3xC2xC30
360,158
Semidirect products G=N:Q with N=
C
5
xS
3
and Q=
C
2
xC
6
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xS
3
):(C
2
xC
6
) =
S
3
xC
6
xD
5
φ:
C
2
xC
6
/
C
6
→
C
2
⊆ Out
C
5
xS
3
60
4
(C5xS3):(C2xC6)
360,151
x
:
Z
F
o
wr
Q
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