Sclerocactus cloverae K.D.Heil & J.M.Porter in Haseltonia 2: 31. 1994 sec. Parfitt & Gibson 2003
- ≡Pediocactus cloverae (K.D.Heil & J.M.Porter) Halda in Acta Mus. Richnov., Sect. Nat., 5(1): 15. 1998 syn. sec. Parfitt & Gibson 2003
- ≡Sclerocactus whipplei subsp. cloverae (K.D.Heil & J.M.Porter) Hochstätter in Succulenta (Netherlands) 86: 90. 2007, nom. illeg., syn. sec. ???
- =Sclerocactus whipplei var. reevesii Castetter, P.Pierce & K.H.Schwer. in Cact. Succ. J. (Los Angeles) 48(2): 80–82, f. 5–7. 1976 syn. sec. Parfitt & Gibson 2003
- =Sclerocactus cloverae subsp. brackii K.D.Heil & J.M.Porter in Haseltonia 2: 33–34, f. 5. 1994 syn. sec. Parfitt & Gibson 2003
- ≡Pediocactus cloverae subsp. brackii (K.D.Heil & J.M.Porter) Halda in Acta Mus. Richnov., Sect. Nat., 5: 15. 1998 syn. sec. ???
- =Sclerocactus whipplei subvar. aztecia Hochstätter in Piante Grasse 17: 228. 1997 syn. sec. Kew WCVP (2019)