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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
and Q=
S
3
xC
6
Direct product G=NxQ with N=
C
5
and Q=
S
3
xC
6
d
ρ
Label
ID
S
3
xC
30
60
2
S3xC30
180,33
Semidirect products G=N:Q with N=
C
5
and Q=
S
3
xC
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
:
1
(S
3
xC
6
) =
C
3
xS
3
xD
5
φ:
S
3
xC
6
/
C
3
xS
3
→
C
2
⊆ Aut
C
5
30
4
C5:1(S3xC6)
180,26
C
5
:
2
(S
3
xC
6
) =
C
6
xD
15
φ:
S
3
xC
6
/
C
3
xC
6
→
C
2
⊆ Aut
C
5
60
2
C5:2(S3xC6)
180,34
x
:
Z
F
o
wr
Q
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