C8

Statistics
Order of group	8
GAP identifier	8,1
Presentation	< k \| k⁸ >
Orders of elements	1 of 1, 1 of 2, 21 of 4, 41 of 8
Centre	C8
Derived subgroup	1
Automorphism group	C2×C2
Inner automorphism group	1
"Out" (quotient of above)	C2×C2
Schur multiplier	1

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