Modular Cohomology Rings of Finite Groups

We have collected computational results on modular cohomology rings of finite groups. We provide:

Modular cohomology of various interesting non prime power groups, including the mod-2 cohomology of the third Conway group and the Higman-Sims group.
Modular cohomology of prime power groups, including all groups of order 128.
An outline of the theoretical background of our computations.

All computations have been carried out with our group cohomology package for Sage.