  The reader of doi:10.1016/j.topol.2010.08.006 might conjecture that
\Delta(\bar{\Pi}_n)/G is homotopy equivalent to a wedge of spheres for any n>=3
and any subgroup G<S_n. We disprove this by showing that
\Delta(\bar{\Pi}_p)/C_p is not homotopy equivalent to a wedge of spheres for
any prime number p>=5.
