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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=
D
5
Direct product G=NxQ with N=
C
3
:S
3
and Q=
D
5
d
ρ
Label
ID
D
5
xC
3
:S
3
45
D5xC3:S3
180,27
Semidirect products G=N:Q with N=
C
3
:S
3
and Q=
D
5
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
:S
3
:D
5
=
D
15
:S
3
φ:
D
5
/
C
5
→
C
2
⊆ Out
C
3
:S
3
30
4
C3:S3:D5
180,30
Non-split extensions G=N.Q with N=
C
3
:S
3
and Q=
D
5
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
:S
3
.D
5
=
C
3
2
:Dic
5
φ:
D
5
/
C
5
→
C
2
⊆ Out
C
3
:S
3
30
4
C3:S3.D5
180,24
x
:
Z
F
o
wr
Q
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