recently, venkatesh introduced the derived hecke algebra to explain extra endomorphisms on the cohomology of arithmetic manifolds: the crucial local construction is a derived version of the spherical hecke algebra of a reductive p-adic group. working with p-torsion coefficients, we will describe a satake homomorphism for the derived spherical hecke algebra of a p-adic group. this will allow us to understand its structure well enough to attack some global questions, which are work in progress.