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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
2
and Q=
C
3
xA
5
Direct product G=NxQ with N=
C
2
and Q=
C
3
xA
5
d
ρ
Label
ID
C
6
xA
5
30
3
C6xA5
360,122
Non-split extensions G=N.Q with N=
C
2
and Q=
C
3
xA
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
3
xA
5
) =
C
3
xSL
2
(
F
5
)
central stem extension (φ=1)
72
2
C2.(C3xA5)
360,51
x
:
Z
F
o
wr
Q
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