The following list is regularly supplemented and updated. You can always see the currently available versions with the command “module avail”. Currently (November 07, 2014) installed:
Gurobi Optimizer http://www.gurobi.com/
NAG Toolbox for MATLAB
OpenMolcas with QCMaquis https://gitlab.com/Molcas/OpenMolcas
… other applications and particular versions may be installed on demand.
The publicly installed applications use licenses from license servers of the HRZ. Institutes that use the licensed software on the cluster must be authorized for that. As a rule, taking part in purchase costs is required to fulfil it. You can find further details to each product on the Software Webpages of the HRZ.