Diagram of Contents of Database of Irreducible Soluble Subgroups of GL(n,p) for n > 1 and p^n < 256

                                      0: primitive
                                    +ve: minimal block size
                            n             |
                            |    pos.     |    no. of
                            |    in       |  generators
                            |    GPS      |     |
                            |     |       |     |
                           \|/   \|/     \|/   \|/
    A typical               |     |       |     |
     compact              [ 2, 5, 16, 32, 1, 1, 3, ... ]
   description                 |      |      |      |
                              /|\    /|\    /|\    /|\
                               |      |      |      |
                               |    order    |   normal forms of
                               p             |      generators
                                             |
                                      no. of guardian