Mammillaria albicans subsp. fraileana (Britton & Rose) D.R. Hunt, Mammillaria Postscripts 6: 5. 1997 sec. Hunt 2016
- ≡Neomammillaria fraileana Britton & Rose, Cactaceae (Britton & Rose) 4: 157. 1923 syn. sec. Guzmán & al. 2003
- =Chilita fraileana (Britton & Rose) Orcutt, Cactography 2. 1926 syn. sec. Guzmán & al. 2003
- =Mammillaria fraileana (Britton & Rose) Boed., Mammillaria-Vergl.-Schluss.: 30. 1933 syn. sec. Guzmán & al. 2003
- =Mammillaria albicans f. fraileana (Britton & Rose) A. Lüthy in Mitteilungsbl. Arbeitskreises Mammillarienfr. 16: 187. 1992 syn. sec. Guzmán & al. 2003
- =Bartschella albicans subsp. fraileana (Britton & Rose) Doweld in Sukkulenty 3: 37. 2000 syn. sec. Guzmán & al. 2003