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