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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=
C
5
×D
5
Direct product G=N×Q with N=
C
3
and Q=
C
5
×D
5
d
ρ
Label
ID
D
5
×C
15
30
2
D5xC15
150,8
Semidirect products G=N:Q with N=
C
3
and Q=
C
5
×D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
5
×D
5
) =
C
5
×D
15
φ:
C
5
×D
5
/
C
5
2
→
C
2
⊆ Aut
C
3
30
2
C3:(C5xD5)
150,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁