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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
33
and Q=
C
15
Direct product G=N×Q with N=
C
33
and Q=
C
15
d
ρ
Label
ID
C
3
×C
165
495
C3xC165
495,4
Semidirect products G=N:Q with N=
C
33
and Q=
C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
33
⋊C
15
=
C
3
2
×C
11
⋊C
5
φ:
C
15
/
C
3
→
C
5
⊆ Aut
C
33
99
C33:C15
495,3
Non-split extensions G=N.Q with N=
C
33
and Q=
C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
33
.C
15
=
C
9
×C
11
⋊C
5
φ:
C
15
/
C
3
→
C
5
⊆ Aut
C
33
99
5
C33.C15
495,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁