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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
and Q=
C
2
2
xF
5
Direct product G=NxQ with N=
C
3
and Q=
C
2
2
xF
5
d
ρ
Label
ID
C
2
xC
6
xF
5
60
C2xC6xF5
240,200
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
2
xF
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
2
2
xF
5
) =
C
2
xS
3
xF
5
φ:
C
2
2
xF
5
/
C
2
xF
5
→
C
2
⊆ Aut
C
3
30
8+
C3:1(C2^2xF5)
240,195
C
3
:
2
(C
2
2
xF
5
) =
C
2
2
xC
3
:F
5
φ:
C
2
2
xF
5
/
C
2
2
xD
5
→
C
2
⊆ Aut
C
3
60
C3:2(C2^2xF5)
240,201
x
:
Z
F
o
wr
Q
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