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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
50
Direct product G=N×Q with N=
C
9
and Q=
C
50
d
ρ
Label
ID
C
450
450
1
C450
450,4
Semidirect products G=N:Q with N=
C
9
and Q=
C
50
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
⋊C
50
=
D
9
×C
25
φ:
C
50
/
C
25
→
C
2
⊆ Aut
C
9
225
2
C9:C50
450,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁