C27
C27
is Abelian
.
Statistics
Order of group
27
GAP identifier
27,1
Presentation
< k | k
27
>
Orders of elements
1 of 1, 2*1 of 3, 6*1 of 9, 18*1 of 27
Centre
C27
Derived subgroup
1
Automorphism group
C18
Inner automorphism group
1
"Out"
(quotient of above)
C18
Schur multiplier
1
Permutation Diagrams
Sharply 1-transitive
on 27 points, even.
Cayley Graphs
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7