Lobivia tegeleriana Backbg. J. DKG 1935/82
- Lobivia tegeleriana var. eckardtiana Backbg., 10 J. Kaktfg 1937
- Lobivia tegeleriana var. plominiana Backbg., 10 J. Kaktfg 1937
- Lobivia tegeleriana var. medingiana Backbg., 10 J Kaktfg 1937
- Lobivia ayacuchensis Y. Ito, Illustr. of Flow. Cacti 1967

Lobivia tegeleriana var. akersii (Rausch) Rausch Lobivia 1975
- Lobivia akersii Rausch, K.u.a.S. 1973/25
- Lobivia oyonica Akers n.n.
- Lobivia churinensis Johns. n.n.

Lobivia tegeleriana var. incuiensis (Rauh & Backbg.) Rausch Lobivia 1975
- Lobivia incuiensis Rauh & Backbg., Descr. Cact. Nov. 1956/1329
- Acantholobivia incuiensis Rauh & Backbg., Beitr. z. Kenntn. d. peruan. Kaktveg. 1958/471
- Lobivia tegeleriana var. puquiensis Ritt., Kakteen 1981/1329

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