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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
2
and Q=
C
9
Direct product G=N×Q with N=
C
5
2
and Q=
C
9
d
ρ
Label
ID
C
5
×C
45
225
C5xC45
225,4
Semidirect products G=N:Q with N=
C
5
2
and Q=
C
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
2
⋊C
9
=
C
5
2
⋊C
9
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
5
2
45
3
C5^2:C9
225,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁