C8 is Abelian.


Order of group8
GAP identifier8,1
Presentation< k | k8 >
Orders of elements1 of 1, 1 of 2, 2*1 of 4, 4*1 of 8
Derived subgroup1
Automorphism groupC2×C2
Inner automorphism group1
"Out" (quotient of above)C2×C2
Schur multiplier1

Permutation Diagrams

Sharply 1-transitive
on 8 points, odd.

Cayley Graphs

the di-octagon, type I

Regular maps with C8 symmetry

C8 is the rotational symmetry group of the regular map S2:{8,8}.

Index to regular maps