C9
C9
is Abelian
.
Statistics
Order of group
9
GAP identifier
9,1
Presentation
< k | k
9
>
Orders of elements
1 of 1, 2*1 of 3, 6*1 of 9
Centre
C9
Derived subgroup
1
Automorphism group
C6
Inner automorphism group
1
"Out"
(quotient of above)
C6
Schur multiplier
1
Permutation Diagrams
Sharply 1-transitive
on 9 points, even.
Cayley Graphs
the di-nonagon
, type I
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7