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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
:S
3
and Q=
C
10
Direct product G=NxQ with N=
C
3
:S
3
and Q=
C
10
d
ρ
Label
ID
C
10
xC
3
:S
3
90
C10xC3:S3
180,35
Semidirect products G=N:Q with N=
C
3
:S
3
and Q=
C
10
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
:S
3
:C
10
=
C
5
xS
3
2
φ:
C
10
/
C
5
→
C
2
⊆ Out
C
3
:S
3
30
4
C3:S3:C10
180,28
Non-split extensions G=N.Q with N=
C
3
:S
3
and Q=
C
10
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
:S
3
.C
10
=
C
5
xC
3
2
:C
4
φ:
C
10
/
C
5
→
C
2
⊆ Out
C
3
:S
3
30
4
C3:S3.C10
180,23
x
:
Z
F
o
wr
Q
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