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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
10
Direct product G=N×Q with N=
C
3
and Q=
D
10
d
ρ
Label
ID
C
6
×D
5
30
2
C6xD5
60,10
Semidirect products G=N:Q with N=
C
3
and Q=
D
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
D
10
=
S
3
×D
5
φ:
D
10
/
D
5
→
C
2
⊆ Aut
C
3
15
4+
C3:1D10
60,8
C
3
⋊
2
D
10
=
D
30
φ:
D
10
/
C
10
→
C
2
⊆ Aut
C
3
30
2+
C3:2D10
60,12
×
⋊
ℤ
𝔽
○
≀
ℚ
◁