Cylindropuntia alcahes (F.A.C. Weber) F.M. Knuth subsp. alcahes, Kaktus-ABC: 127. 1936 sec. Guzmán & al. 2003
- =Cylindropuntia brevispina (H.E. Gates) Backeb., Cactaceae (Backeberg) 1: 205. 1958 syn. sec. Guzmán & al. 2003
- =Opuntia brevispina H.E. Gates in Cact. Succ. J. (Los Angeles) 10: 98. 1993 syn. sec. Guzmán & al. 2003
- =Grusonia alcahes (F.A.C. Weber) G.D. Rowley in Tephrocactus Study Group 12: 43. 2006 syn. sec. Rowley 2006