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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
20
and Q=
A
4
Direct product G=NxQ with N=
C
20
and Q=
A
4
d
ρ
Label
ID
A
4
xC
20
60
3
A4xC20
240,152
Non-split extensions G=N.Q with N=
C
20
and Q=
A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
20
.A
4
=
C
5
xC
4
.A
4
central extension (φ=1)
80
2
C20.A4
240,154
x
:
Z
F
o
wr
Q
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