Synonyms: Astrophytum bruchii (homotypic); Echinocactus lafaldensis; Frailea bruchii (homotypic); Gymnocalycium albispinum; Gymnocalycium andreae carolinense; Gymnocalycium andreae f. svecianum (homotypic); Gymnocalycium andreae var. svecianum; Gymnocalycium bruchii atroviride; Gymnocalycium bruchii brigittae; Gymnocalycium bruchii carolinense; Gymnocalycium bruchii cumbrecitense; Gymnocalycium bruchii cumbresitense; Gymnocalycium bruchii deminii; Gymnocalycium bruchii elegans; Gymnocalycium bruchii enorme; Gymnocalycium bruchii f. cristata; Gymnocalycium bruchii f. svecianum; Gymnocalycium bruchii implexum; Gymnocalycium bruchii lacumbrense; Gymnocalycium bruchii lafaldense; Gymnocalycium bruchii ludwigii; Gymnocalycium bruchii melojeri; Gymnocalycium bruchii multicostatum; Gymnocalycium bruchii pawlovskyi; Gymnocalycium bruchii renatae; Gymnocalycium bruchii shimadae; Gymnocalycium bruchii susannae; Gymnocalycium bruchii var. albispinum; Gymnocalycium bruchii var. brigittae; Gymnocalycium bruchii var. glaucum; Gymnocalycium bruchii var. hossei; Gymnocalycium bruchii var. niveum; Gymnocalycium bruchii var. papschii; Gymnocalycium bruchii var. rubroalabastrum; Gymnocalycium carolinense; Gymnocalycium carolinense fedjukinii; Gymnocalycium carolinense ludwigii; Gymnocalycium carolinense var. eltrebolense; Gymnocalycium lafaldense; Gymnocalycium lafaldense f. albispinum; Gymnocalycium lafaldense f. deviatum; Gymnocalycium lafaldense f. enorme; Gymnocalycium lafaldense f. evolvens; Gymnocalycium lafaldense f. fraternum; Gymnocalycium lafaldense f. hossei; Gymnocalycium papschii