Maihueniopsis archiconoidea F.Ritter, Kakteen Südamerika 3: 877. 1980 sec. Hunt 2016
- ≡Opuntia archiconoidea (F.Ritter) D.R.Hunt in Cactaceae Consensus Init. 4: 5. 1997 syn. sec. Hunt 2016
- ≡Tephrocactus archiconoideus (F.Ritter) G.D.Rowley in Tephrocactus Study Group 12(3): 46. 2006 syn. sec. Kew WCVP (2019)