I want to know when an abelian group of even order is admissible (or has a complete map)? And when a nonabelian group of even order is admissible (or has a complete map)?

Thanks.

(added) Definition. A complete map of a group is a permutation $\phi$ such that $g\mapsto g\phi(g)$ is also a permutation. A group is admissible if it admits a complete map.

I want to know when an abelian group of even order is admissible? And when is a nonabelian group of even order admissible?

I want to know when an Abelian group of even order is admissible ( or has a complete map)? and when a nonabelian group of even order is admissiable ( or has a complete map)? Thanks.

I want to know when an abelian group of even order is admissible (or has a complete map)? And when a nonabelian group of even order is admissible (or has a complete map)?

Thanks.

I want about when an Abelian group of order even is admissiable ( or has a complete map)? and when a unabelian group of order even is admissiable ( or has a complete map)? thanks

I want to know when an Abelian group of even order is admissible ( or has a complete map)? and when a nonabelian group of even order is admissiable ( or has a complete map)? Thanks.