  We provide a construction of 81 symplectic resolutions of a 4-dimensional
quotient singularity obtained by an action of a group of order 32. The
existence of such resolutions is known by a result of Bellamy and Schedler. Our
explicit construction is obtained via GIT quotient of the spectrum of a ring
graded in the Picard group generated by the divisors associated to the
conjugacy classes of symplectic reflections of the group in question. As the
result we infer the geometric structure of these resolutions and their flops.
Moreover, we represent the group in question as a group of automorphisms of an
abelian 4-fold so that the resulting quotient has singularities with symplectic
resolutions. This yields a new Kummer-type symplectic 4-fold.
