This name is a synonym of Mammillaria albilanata subsp. reppenhagenii (D.R. Hunt) D.R. Hunt.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50180212) with original publication details: Kakteen And. Sukk. 28(6): 120–130 1977.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:151558-2.
This name was in version 1 of The Plant List, record tro-50180212, and has not been changed.