Synonyms
Mammillaria coahuilensis var. albiflora (Boed.) Boom
Porfiria schwarzii (Frič) Boed.
Haagea schwarzii Frič
Porfiria coahuilensis var. albiflora Boed.
Mammillaria coahuilensis subsp. albiarmata (Boed.) D.R.Hunt
Mammillaria schwarzii (Frič) Backeb.
Mammillaria heyderi subsp. coahuilensis (Boed.) Lüthy
Mammillaria coahuilensis var. albiarmata (Boed.) B.Hofm.
Mammillaria albiarmata Boed.
Neomammillaria schwarzii Rose ex Frič
Porfiria coahuilensis Boed.