This name is a synonym of Allium tricoccum var. burdickii Hanes.
The record derives from WCSP
(data supplied on 2012-03-23)
which reports it as a synonym (record 295192) with original publication details: Syst. Bot. 4: 32 1979.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:8704-2.
This name was in version 1 of The Plant List, record kew-295192, and has not been changed.