Alternatively, the file sgroups.m contains invariant forms for all symplectic primitive irreducible maximal finite subgroups of GL(2n, Q) up to n=11.
It is designed to be used with the computer algebra system Magma (version 2.14 or higher). Since it contains only ascii text, it can be opened in any text editor. So it should be straightforward to adopt the file for the computer algebra system of your choice.
This generates an associative array called SGroups.
The data for dimension 2n is stored in SGroups[2n] as a sequence of triples <FF, o, s>. The sequence is ordered in the same way as in the thesis.
A:= AutomorphismGroup(FF);generates a representative for the corresponding conjugacy class.
we know that it is the third entry of SGroups. So
[x : x in SGroups];which yields the list:
> [ D8tC4.S3, C4tA2, GL23, SL23oC3, C10 ]
generates a representative A of that class.