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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
4
Direct product G=NxQ with N=
C
5
xS
3
and Q=
C
2
4
d
ρ
Label
ID
S
3
xC
2
3
xC
10
240
S3xC2^3xC10
480,1211
Semidirect products G=N:Q with N=
C
5
xS
3
and Q=
C
2
4
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
xS
3
):C
2
4
=
S
3
xC
2
3
xD
5
φ:
C
2
4
/
C
2
3
→
C
2
⊆ Out
C
5
xS
3
120
(C5xS3):C2^4
480,1207
x
:
Z
F
o
wr
Q
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