The Cohomology of the Groups of Order 128
In total, there are 2328 groups of order 128. The first complete cohomology computation in summer 2008 was done using Sage, versions 3.0.6 up to 3.1.1, parallely on 2 Dual Core AMD Opteron(tm) Processor 270 (2 GHz), with an earlier version of our package. In this setting, the cohomology of all but four groups was obtained after a total of roughly 3 weeks. The four most difficult cases (2298, 2300, 2326, 2327) were eventually finished after very roughly one additional month for each example.
In the meantime, our package underwent a considerable improvement. In order to test the new performance, we made a second complete computation in May 2009, on the central Sage server, a 24-core Sun X4450 with 2.66 GHz and 128 GB RAM. However, we never had more than four parallel processes. We are grateful that William Stein gave us the opportunity to work on that machine. We acknowledge the support by National Science Foundation Grant No. DMS-0821725.
In this setting, we found:
Groups numbered according to the Small Groups library
Groups with a custom name
Last change: 25.08.2009