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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
3
and Q=
D
20
Direct product G=N×Q with N=
C
3
and Q=
D
20
d
ρ
Label
ID
C
3
×D
20
60
2
C3xD20
120,18
Semidirect products G=N:Q with N=
C
3
and Q=
D
20
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
D
20
=
D
60
φ:
D
20
/
C
20
→
C
2
⊆ Aut
C
3
60
2+
C3:1D20
120,28
C
3
⋊
2
D
20
=
C
3
⋊D
20
φ:
D
20
/
D
10
→
C
2
⊆ Aut
C
3
60
4+
C3:2D20
120,12
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⋊
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𝔽
○
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◁