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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
45
and Q=
C
9
Direct product G=N×Q with N=
C
45
and Q=
C
9
d
ρ
Label
ID
C
9
×C
45
405
C9xC45
405,2
Semidirect products G=N:Q with N=
C
45
and Q=
C
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
45
⋊C
9
=
C
5
×C
9
⋊C
9
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
45
405
C45:C9
405,4
Non-split extensions G=N.Q with N=
C
45
and Q=
C
9
extension
φ:Q→Aut N
d
ρ
Label
ID
C
45
.C
9
=
C
5
×C
27
⋊C
3
φ:
C
9
/
C
3
→
C
3
⊆ Aut
C
45
135
3
C45.C9
405,6
×
⋊
ℤ
𝔽
○
≀
ℚ
◁