Magnetic susceptibility and X-band electron paramagnetic resonance (EPR) studies have been carried out on the highly symmetric [Cr3O(PhCOO)(6)(py)(3)](ClO4)center dot 0.5py (1; py = pyridine), whose cation exhibits a D-3h crystallographically imposed molecular symmetry. While magnetic susceptibility data can be interpreted with an equilateral magnetic model described by the effective multispin Hamiltonian (H) over cap = -2J((S) over cap (1)center dot(S)over cap>(2) + (S)over cap>(2)center dot(S)over cap>(3) + (S)over cap>(3)center dot(S)over cap>(1)), EPR data require an isosceles model described by the multispin Hamiltonian (H) over cap = -2J((S) over cap (1)center dot(S)over cap>(2) + (S)over cap>(2)center dot(S)over cap>(3)) - 2J'(S)over cap>(3 center dot)(S) over cap (1,) where Delta J = J - J' not equal 0. Moreover, EPR data reveal the interplay of antisymmetric exchange (or Dzyaloshinskii-Moriya) interactions, described by a 2G(S)over cap>(1) x (S)over cap>(2) + (S)over cap>(2) x (S)over cap>(3) + (S)over cap>(3) x (S)over cap>(1)) term, which induce significant anisotropy to the S-T = 1/2 ground state of 1, as well as an important broadening of the g(perpendicular to) resonance (g strain). Through careful analysis of these data and in conjunction with neutron scattering data, this g strain can be deconvoluted into distributions of the individual spin-Hamiltonian parameters Delta J and vertical bar G vertical bar. This method of analysis provides simultaneous estimates of the central values and distribution profiles of the spin-Hamiltonian parameters, which are shown not to be described by monodisperse values.