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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
⋊S
3
and Q=
C
15
Direct product G=N×Q with N=
C
3
⋊S
3
and Q=
C
15
d
ρ
Label
ID
C
15
×C
3
⋊S
3
90
C15xC3:S3
270,26
Semidirect products G=N:Q with N=
C
3
⋊S
3
and Q=
C
15
extension
φ:Q→Out N
d
ρ
Label
ID
C
3
⋊S
3
⋊C
15
=
C
5
×C
3
2
⋊C
6
φ:
C
15
/
C
5
→
C
3
⊆ Out
C
3
⋊S
3
45
6
C3:S3:C15
270,10
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𝔽
○
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ℚ
◁