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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
5
×C
10
Direct product G=N×Q with N=
C
3
2
and Q=
C
5
×C
10
d
ρ
Label
ID
C
15
×C
30
450
C15xC30
450,34
Semidirect products G=N:Q with N=
C
3
2
and Q=
C
5
×C
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
⋊
1
(C
5
×C
10
) =
S
3
×C
5
×C
15
φ:
C
5
×C
10
/
C
5
2
→
C
2
⊆ Aut
C
3
2
150
C3^2:1(C5xC10)
450,28
C
3
2
⋊
2
(C
5
×C
10
) =
C
3
⋊S
3
×C
5
2
φ:
C
5
×C
10
/
C
5
2
→
C
2
⊆ Aut
C
3
2
225
C3^2:2(C5xC10)
450,31
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⋊
ℤ
𝔽
○
≀
ℚ
◁