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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
5
×C
11
Direct product G=N×Q with N=
C
3
and Q=
D
5
×C
11
d
ρ
Label
ID
D
5
×C
33
165
2
D5xC33
330,6
Semidirect products G=N:Q with N=
C
3
and Q=
D
5
×C
11
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(D
5
×C
11
) =
C
11
×D
15
φ:
D
5
×C
11
/
C
55
→
C
2
⊆ Aut
C
3
165
2
C3:(D5xC11)
330,10
×
⋊
ℤ
𝔽
○
≀
ℚ
◁