An analysis of dijet photoproduction in the region of photon virtualities Q(2) < 1 GeV2 with the H1 detector at the HERA electron proton collider is presented. The data correspond to an integrated luminosity of 66 pb(-1). Jets are defined with the inclusive k(perpendicular to) algorithm and a minimum transverse momentum of the leading jet of 25 GeV is required. Dijet cross sections are measured in direct and resolved photon enhanced regions separately. Longitudinal proton momentum fractions up to 0.7 are reached. The data compare well with predictions from Monte Carlo event generators based on leading order QCD and parton showers and with next-to-leading order QCD calculations corrected for hadronisation effects.