C16

Also called cyclic(16).

C16 is Abelian.

Statistics
Order of group	16
GAP identifier	16,1
Presentation	< k \| k¹⁶ >
Orders of elements	1 of 1, 1 of 2, 21 of 4, 41 of 8, 8*1 of 16
Centre	C16
Derived subgroup	1
Automorphism group	C4×C2
Inner automorphism group	1
"Out" (quotient of above)	C4×C2
Schur multiplier	1

Permutation Diagrams

Sharply 1-transitive
on 16 points, odd.

Cayley Graphs

Regular maps with C16 symmetry

C16 is the rotational symmetry group of the regular map S4:{16,16}.

Index to regular maps