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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
5
xC
3
:C
8
Direct product G=NxQ with N=
C
2
and Q=
C
5
xC
3
:C
8
d
ρ
Label
ID
C
10
xC
3
:C
8
240
C10xC3:C8
240,54
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
xC
3
:C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(C
5
xC
3
:C
8
) =
C
5
xC
3
:C
16
central extension (φ=1)
240
2
C2.(C5xC3:C8)
240,1
x
:
Z
F
o
wr
Q
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