For many years the genus Cochemiea referred to a small group of cacti from Baja California with distinctive zygomorphic flowers. Recent DNA evidence from Peter Breslin (Breslin, P.B., Wojciechowski, M.F. & Majure, L.C. , Taxon 70: 308-323, 2021 ) has widened this genus to 37 species and includes most of the Bajan Mammillarias, Bartschella, Neolloydia and Ortegocactus.