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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
⋊D
5
and Q=
C
9
Direct product G=N×Q with N=
C
5
⋊D
5
and Q=
C
9
d
ρ
Label
ID
C
9
×C
5
⋊D
5
225
C9xC5:D5
450,15
Semidirect products G=N:Q with N=
C
5
⋊D
5
and Q=
C
9
extension
φ:Q→Out N
d
ρ
Label
ID
C
5
⋊D
5
⋊C
9
=
C
5
2
⋊C
18
φ:
C
9
/
C
3
→
C
3
⊆ Out
C
5
⋊D
5
45
6
C5:D5:C9
450,12
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○
≀
ℚ
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