C5
Also called
cyclic(5)
.
C5
is Abelian and simple
.
Statistics
Order of group
5
GAP identifier
5,1
Presentation
< k | k5 >
Orders of elements
1 of 1, 4*1 of 5
Centre
C5
Derived subgroup
1
Automorphism group
C4
Inner automorphism group
1
"Out"
(quotient of above)
C4
Schur multiplier
1
Permutation Diagrams
Sharply 1-transitive
on 5 points, even.
Cayley Graphs
the di-pentagon
, type I
Index to regular maps
Orientable
sphere
|
torus
|
2
|
3
|
4
|
5
|
6
Non-orientable
projective plane
|
4
|
5
|
6
|
7