Automorphisms of a distance-regular graph with intersection array $\{100,66,1;1,33,100\}$

A. A. Makhnev and D. V. Paduchikh have found intersection arrays of distance-regular graphs, in which neighborhoods of vertices are strongly-regular graphs with second eigenvalue $3$. A. A. Makhnev suggested the program to research of automorphisms of these distance-regular graphs. In this paper it is obtained possible orders and subgraphs of fixed points of automorphisms of a hypothetical distance-regular graph with intersection array $\{100,66,1;1,33,100\}$. In particular, this graph does not vertex symmetric.