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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
xS
3
and Q=
F
5
Direct product G=NxQ with N=
C
3
xS
3
and Q=
F
5
d
ρ
Label
ID
C
3
xS
3
xF
5
30
8
C3xS3xF5
360,126
Semidirect products G=N:Q with N=
C
3
xS
3
and Q=
F
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
xS
3
):F
5
=
S
3
xC
3
:F
5
φ:
F
5
/
D
5
→
C
2
⊆ Out
C
3
xS
3
30
8
(C3xS3):F5
360,128
x
:
Z
F
o
wr
Q
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