[GAP Forum] order of conjugacy classes?

[R. K. Dennis]

Dear Colleagues,

I have a computation where the results are stored and displayed
in a max by conj matrix.  Here max is the number of conjugacy
classes of maximal subgroups and conj is the number of conjugacy
classes of elements.

The orders of the rows and columns corresponds to the classes.

But gap doesn't generate the conjugacy classes of maximal subgroups
in the same order every time; I don't know about classes of elements
as I haven't noticed any difference in the matrix (but I suppose
that might depend of the type of computations I'm doing).

Ok, so my question is:

Is there a way to get gap to present the results in the same order
every time?  I suppose I could sort the results by order of subgroup
size.  But that wouldn't necessarily uniquely order the representatives
of the conjugacy classes of maximal subgroups.

Is there anything reasonable to do?

For conjugacy classes of elements, gap doesn't seem to sort by
size or order, but does seem reasonably consistent, at least for
the small examples I've looked at.

Suggestions most welcome!

Thanks!

Keith