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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=
D
20
and Q=
A
4
Direct product G=N×Q with N=
D
20
and Q=
A
4
d
ρ
Label
ID
A
4
×D
20
60
6+
A4xD20
480,1037
Non-split extensions G=N.Q with N=
D
20
and Q=
A
4
extension
φ:Q→Out N
d
ρ
Label
ID
D
20
.A
4
=
D
20
.A
4
φ: trivial image
80
4-
D20.A4
480,1043
×
⋊
ℤ
𝔽
○
≀
ℚ
◁