Cleistocactus candelilla Cárdenas in Cact. Succ. J. (Los Angeles) 24: 146. 1952 sec. Kiesling & al. 2014
- ≡Echinopsis candelilla (Cárdenas) Anceschi & Magli in Cactusinhabitat S. Amer. 2011/2013: 38. 2013 syn. sec. Kiesling & al. 2014
- =Cleistocactus candelilla var. pojoensis Cárdenas in Cact. Succ. J. (Los Angeles) 24: 147. 1952 syn. sec. Kiesling & al. 2014
- ≡Cleistocactus pojoensis (Cárdenas) Backeb., Cactaceae 2: 1003. 1959 syn. sec. Kiesling & al. 2014
- =Cleistocactus dependens Cárdenas in Cact. Succ. J. (Los Angeles) 24: 141, f. 86–88. 1952 syn. sec. Kiesling & al. 2014
- ≡Seticleistocactus dependens (Cárdenas) Backeb., Kakteenlex.: 406. 1966 syn. sec. Kiesling & al. 2014
- =Cleistocactus ianthinus Cárdenas in Cact. Succ. J. (Los Angeles) 28: 57, f. 33, 34. 1956 syn. sec. Kiesling & al. 2014
- =Cleistocactus vallegrandensis Cárdenas in Cact. Succ. J. (Los Angeles) 33: 75. 1961 syn. sec. Kiesling & al. 2014