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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
2
and Q=
C
10
Direct product G=N×Q with N=
C
3
2
and Q=
C
10
d
ρ
Label
ID
C
3
×C
30
90
C3xC30
90,10
Semidirect products G=N:Q with N=
C
3
2
and Q=
C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
⋊
1
C
10
=
S
3
×C
15
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
3
2
30
2
C3^2:1C10
90,6
C
3
2
⋊
2
C
10
=
C
5
×C
3
⋊S
3
φ:
C
10
/
C
5
→
C
2
⊆ Aut
C
3
2
45
C3^2:2C10
90,8
×
⋊
ℤ
𝔽
○
≀
ℚ
◁