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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
5
and Q=
C
9
⋊S
3
Direct product G=N×Q with N=
C
5
and Q=
C
9
⋊S
3
d
ρ
Label
ID
C
5
×C
9
⋊S
3
135
C5xC9:S3
270,16
Semidirect products G=N:Q with N=
C
5
and Q=
C
9
⋊S
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
9
⋊S
3
) =
C
3
⋊D
45
φ:
C
9
⋊S
3
/
C
3
×C
9
→
C
2
⊆ Aut
C
5
135
C5:(C9:S3)
270,18
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○
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ℚ
◁