In the late 1990s, Thomas Breuer created an algorithm, and wrote corresponding computer code, which determines all groups acting on Riemann surfaces of a fixed genus. His code also determined generating vectors for the actions, but he did not record that data. The results of his program up to genus 15, along with additional information such as if the Riemann surface is hyperelliptic or cyclic trigonal, the decomposition of the corresponding Jacobian Variety, and the dimension of the corresponding Shimura variety, can now be found online at: http://www.lmfdb.org/HigherGenus/C/Aut/. We’ll briefly introduce these pages, discuss features of them, and mention future planned additions.