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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=
D
10
Direct product G=N×Q with N=
C
9
and Q=
D
10
d
ρ
Label
ID
D
5
×C
18
90
2
D5xC18
180,9
Semidirect products G=N:Q with N=
C
9
and Q=
D
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
⋊
1
D
10
=
D
5
×D
9
φ:
D
10
/
D
5
→
C
2
⊆ Aut
C
9
45
4+
C9:1D10
180,7
C
9
⋊
2
D
10
=
D
90
φ:
D
10
/
C
10
→
C
2
⊆ Aut
C
9
90
2+
C9:2D10
180,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁