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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
20
and Q=
A
4
Direct product G=N×Q with N=
C
20
and Q=
A
4
d
ρ
Label
ID
A
4
×C
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
×C
4
.A
4
central extension (φ=1)
80
2
C20.A4
240,154
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⋊
ℤ
𝔽
○
≀
ℚ
◁