Total cross sections, absolute reaction rate coefficients, and product branching ratios are reported for the reaction Ar+ + CH4 at energies from 5 x 10(-4) to 4 eV using two different and complementary techniques, Significant deviations from the Langevin theory are observed in the energy dependence of the total cross section and interpreted in terms of a simple dynamical model. We find the collision energy is ineffective in altering the product branching ratios over the whole energy range studied, while the spin-orbit components of Ar+ have a major effect on the product distribution.