C8

C8 is Abelian.

Statistics

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
CentreC8
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}.