nLab
weak Cayley table

For $G$ a group, its weak Cayley table is the map which sends elements in $G\times G$ to their biconjugacy class.

References

• Kenneth W. Johnson, Sandro Mattarei and Surinder K. Sehgal, Weak Cayley tables, Journal of the London Mathematical Society 2000 61(2):395-411 (pdf)