  We show that the quotient C^4/G admits a symplectic resolution for G = (Q_8 x
D_8)/(Z/2) < Sp(4,C). Here Q_8 is the quaternionic group of order eight and D_8
is the dihedral group of order eight, and G is the quotient of their direct
product which identifies the nontrivial central elements -1 of each. It is
equipped with the tensor product of the defining two-dimensional
representations of Q_8 and D_8. This group is also naturally a subgroup of the
wreath product group of Q_8 by S_2. We compute the singular locus of the family
of commutative spherical symplectic reflection algebras deforming C^4/G. We
also discuss preliminary investigations on the more general question of
classifying linear quotients V / G admitting symplectic resolutions.
