Coryphantha radians (DC.) Britton & Rose, Cactaceae (Britton & Rose) 4: 36. 1923 sec. Guzmán & al. 2003
- ≡Mammillaria radians DC. in Mém. Mus. Hist. Nat. 17: 111. 1828 syn. sec. Guzmán & al. 2003
- =Mammillaria cornifera DC. in Mém. Mus. Hist. Nat. 17: 112. 1828 syn. sec. Guzmán & al. 2003
- =Mammillaria daimonoceras Lem., Cact. aliq. nov.: 5. 1838 syn. sec. Guzmán & al. 2003
- =Mammillaria impexicoma Lem., Cact. aliq. nov.: 5. 1838 syn. sec. Guzmán & al. 2003
- =Coryphantha daimonoceras (Lem.) Lem., Cactées: 35. 1868 syn. sec. Guzmán & al. 2003
- =Cactus radians (DC.) Kuntze, Rev. Gen. Pl. 1: 261. 1891 syn. sec. Guzmán & al. 2003
- =Cactus radians var. pectinoides J.M. Coult. in Contr. U.S. Natl. Herb. 3: 114. 1894 syn. sec. Guzmán & al. 2003
- =Mammillaria cornuta Hildm. ex K. Schum., Gesamtbeschr. Kakt.: 496. 1898 syn. sec. Guzmán & al. 2003
- =Coryphantha cornuta (Hildm. ex K. Schum.) A. Berger, Kakteen (Berger): 268. 1929 syn. sec. Guzmán & al. 2003
- =Coryphantha radians var. impexicoma (Lem.) Backeb. & F.M. Knuth, Kaktus-ABC: 370. 1936 syn. sec. Guzmán & al. 2003
- =Coryphantha radians var. pectinoides (J.M. Coult.) Bravo in Cact. Suc. Mex. 27: 17. 1982 syn. sec. Guzmán & al. 2003
- =Coryphantha bernalensis L. Bremer in Cact. Succ. J. (Los Angeles) 56: 165. 1984 syn. sec. Guzmán & al. 2003
- =Coryphantha maliterrarum L. Bremer in Cact. Succ. J. (Los Angeles) 56: 71. 1984 syn. sec. Guzmán & al. 2003