Thelocactus hexaedrophorus (Lem.) Britton & Rose subsp. hexaedrophorus in Bull. Torrey Bot. Club 49: 251. 1922 sec. Hunt 2016
- =Echinocactus fossulatus Scheidw. in Allg. Gartenzeitung 9: 49. 1841 syn. sec. Guzmán & al. 2003
- =Echinocactus hexaedrophorus var. fossulatus (Scheidw.) Salm-Dyck ex Labour., Monogr. Cact.: 251. 1853 syn. sec. Guzmán & al. 2003
- =Echinocactus hexaedrophorus var. major Quehl in Monatsschr. Kakteenk. 4: 29. 1894 syn. sec. Guzmán & al. 2003
- =Echinocactus hexaedrophorus var. labouretianus K. Schum., Gesamtbeschr. Kakt.: 438. 1898 syn. sec. ???
- =Thelocactus fossulatus (Scheidw.) Britton & Rose, Cactaceae (Britton & Rose) 4: 10. 1923 syn. sec. Guzmán & al. 2003
- =Thelocactus hexaedrophorus var. decipiens (A. Berger) A. Berger, Kakteen (Berger): 253. 1929 syn. sec. Mosco & Zanovello 2000
- =Thelocactus hexaedrophorus var. labouretianus (K. Schum.) A. Berger, Kakteen (Berger): 253. 1929 syn. sec. Mosco & Zanovello 2000
- =Thelocactus hexaedrophorus var. major (Quehl) Y. Itô, Cacti (Tokio): 94. 1952 syn. sec. Guzmán & al. 2003
- =Thelocactus hexaedrophorus var. fossulatus (Scheidw.) Backeb., Cactaceae (Backeberg) 5: 2800. 1961 syn. sec. Guzmán & al. 2003
- =Thelocactus hexaedrophorus subsp. francii Halda & Sladk. in Acta Mus. Richnov., Sect. Nat., 7: 38. 2000 syn. sec. Guzmán & al. 2003
- =Thelocactus hexaedrophorus subsp. jarmilae Halda & Chvastek in Acta Mus. Richnov., Sect. Nat., 7: 38. 2000 syn. sec. Guzmán & al. 2003
- =Thelocactus hexaedrophorus subsp. kvetae Chvastek & Halda in Acta Mus. Richnov., Sect. Nat., 7: 39. 2000 syn. sec. Guzmán & al. 2003