C5

Also called  cyclic(5).

C5 is Abelian and simple.

Statistics

Order of group5
GAP identifier5,1
Presentation< k | k5 >
Orders of elements1 of 1, 4*1 of 5
CentreC5
Derived subgroup1
Automorphism groupC4
Inner automorphism group1
"Out" (quotient of above)C4
Schur multiplier1
 

Permutation Diagrams


Sharply 1-transitive
on 5 points, even.

Cayley Graphs


the di-pentagon, type I


Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720


Index to regular maps