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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
25
and Q=
D
9
Direct product G=N×Q with N=
C
25
and Q=
D
9
d
ρ
Label
ID
D
9
×C
25
225
2
D9xC25
450,1
Semidirect products G=N:Q with N=
C
25
and Q=
D
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
25
⋊D
9
=
D
225
φ:
D
9
/
C
9
→
C
2
⊆ Aut
C
25
225
2+
C25:D9
450,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁