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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
5
and Q=
D
6
Direct product G=N×Q with N=
C
5
and Q=
D
6
d
ρ
Label
ID
S
3
×C
10
30
2
S3xC10
60,11
Semidirect products G=N:Q with N=
C
5
and Q=
D
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊
1
D
6
=
S
3
×D
5
φ:
D
6
/
S
3
→
C
2
⊆ Aut
C
5
15
4+
C5:1D6
60,8
C
5
⋊
2
D
6
=
D
30
φ:
D
6
/
C
6
→
C
2
⊆ Aut
C
5
30
2+
C5:2D6
60,12
×
⋊
ℤ
𝔽
○
≀
ℚ
◁