Lophophora fricii Haberm. in Kaktusy (Brno): 123. 1974 sec. Hunt 2016
- ≡Lophophora diffusa subsp. fricii (Haberm.) Halda in Cactaceae etc. 7: 61. 1997 syn. sec. Kew WCVP (2019)
- ≡Lophophora williamsii var. fricii (Haberm.) Grym, Rod Lophophora: 56. 1997 syn. sec. Kew WCVP (2019)
- ≡Peyotl zacatensis var. fricii (Haberm.) Sotom., Arred. & Mart.Mend. in Cactus & Co. 5: 228. 2001 syn. sec. Kew WCVP (2019)