Turbinicarpus laui Glass & R.A. Foster in Cact. Succ. J. (Los Angeles) 47: 118. 1975 sec. Hunt 2016
- =Strombocactus laui (Glass & R.A. Foster) R. Mays, Cactus 3: 84. 1979 syn. sec. Guzmán & al. 2003
- =Neolloydia laui (Glass & R.A. Foster) E.F. Anderson in Bradleya 4: 22. 1986 syn. sec. Guzmán & al. 2003
- =Pediocactus laui (Glass & R.A. Foster) Halda in Acta Mus. Richnov., Sect. Nat., 5: 21. 1998 syn. sec. Guzmán & al. 2003