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The options can be seen by listing the available modules: module avail and searching for the compiler that you need. The Lengau cluster is now 6 years old, and as a result has accumulated a very large number of modules, which makes the output of module avail rather difficult to interpret. The output from the module avail command is directed towards the stderr stream, as opposed to stdout and, as a result, cannot be directly piped. However, it is trivially simple to redirect stderr to stdout, and then the output can easily be piped in such a way that it can be searched. For example:
module avail 2>&1 | grep mpich
will list all the modules containing mpich in the name.