Mammillaria carretii Rebut ex K. Schum., Gesamtbeschr. Kakt.: 542. 1898 sec. Hunt 2016
- =Neomammillaria carretii (Rebut ex K. Schum.) Britton & Rose, Cactaceae (Britton & Rose) 4: 160. 1923 syn. sec. Guzmán & al. 2003
- =Neomammillaria saffordii Britton & Rose, Cactaceae (Britton & Rose) 4: 149. 1923 syn. sec. Guzmán & al. 2003
- =Chilita carretii (Rebut ex K. Schum.) Orcutt, Cactography 2. 1926 syn. sec. Guzmán & al. 2003
- =Mammillaria saffordii (Britton & Rose) Bravo, Cact. México: 613. 1937 syn. sec. Guzmán & al. 2003
- =Dolichothele carretii (Rebut ex K. Schum.) Doweld in Sukkulenty 3: 37. 2000 syn. sec. Guzmán & al. 2003