Lophophora fricii Haberm. in Kaktusy (Brno) 10: 123. 1974 sec. Hunt 2016
- =Lophophora fricii var. decipiens P. Hansen in Kakteen And. Sukk. 47: 271. 1996 syn. sec. Hunt & al. 2006
- =Lophophora diffusa subsp. fricii (Haberm.) Halda in Cactaceae etc. 7: 61. 1997 syn. sec. Hunt & al. 2006
- =Lophophora williamsii var. fricii (Haberm.) Grym, Rod Lophophora: 56. 1997 syn. sec. Hunt & al. 2006
- =Peyotl zacatensis subsp. fricii (Haberm.) Sotom., Arred. & Mart. Mend. in Cactus & Co. 5: 228. 2001 syn. sec. Hunt & al. 2006