Cylindropuntia arbuscula (Engelm.) F.M.Knuth, Kaktus-ABC: 123. 1936 ["1935"] sec. Hernández & al. 2014
- ≡Opuntia arbuscula Engelm. in Proc. Amer. Acad. Arts 3: 309. 1856 syn. sec. Hernández & al. 2014
- ≡Grusonia arbuscula (Engelm.) G.D.Rowley in Tephrocactus Study Group 12(3): 43. 2006 syn. sec. Kew WCVP (2019)
- =Opuntia ×neoarbuscula Griffiths in Rep. (Annual) Missouri Bot. Gard. 19: 260. 1908 syn. sec. Guzmán Cruz & al. 2003
- ≡Cylindropuntia ×neoarbuscula (Griffiths) F.M.Knuth, Kaktus-ABC: 123. 1936 ["1935"] syn. sec. Korotkova 2021
- ≡Grusonia ×neoarbuscula (Griffiths) G.D.Rowley in Tephrocactus Study Group 12(3): 44. 2006 syn. sec. Hunt 2016
- =Opuntia ×vivipara Rose in Smithsonian Misc. Collect. 52: 153. 1909 syn. sec. Guzmán Cruz & al. 2003
- ≡Cylindropuntia ×vivipara (Rose) F.M.Knuth, Kaktus-ABC: 124. 1936 ["1935"] syn. sec. Guzmán Cruz & al. 2003
- ≡Grusonia ×vivipara (Rose) G.D.Rowley in Tephrocactus Study Group 12(3): 45. 2006 syn. sec. Hunt 2016