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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
2
:
3
F
5
and Q=
C
2
Direct product G=NxQ with N=
C
3
2
:
3
F
5
and Q=
C
2
d
ρ
Label
ID
C
2
xC
3
2
:
3
F
5
90
C2xC3^2:3F5
360,147
Semidirect products G=N:Q with N=
C
3
2
:
3
F
5
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
2
:
3
F
5
:
1
C
2
=
C
3
:S
3
xF
5
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
3
2
:
3
F
5
45
C3^2:3F5:1C2
360,127
C
3
2
:
3
F
5
:
2
C
2
=
S
3
xC
3
:F
5
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
3
2
:
3
F
5
30
8
C3^2:3F5:2C2
360,128
x
:
Z
F
o
wr
Q
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