Vertex Partitions of Hypercubes into Symmetric Snakes

In his paper (Combinatorica 14 (4) (1994), 491-496) Wojciechowski constructed a snake S, i.e. an induces cycle, in the n-dimensional hypercube Qn such that for some subgroup G of the automorphism group of Qn, of order at most 16, the G-translates of S partition the vertex set of Qn. In this note, we use this snake to obtain a similar result for a symmetric snake with order of G at most 32.