Consider a number of different multiplication tables, the results from a graphical parametrisation problem. The goal is to understand which group generates each table or sufficiently close to intermediate results. Decomposition of large multiplicative tables can be useful.
Does there exist some software to help in analysing such multiplicative tables?
GAP was recommended by Peter. It looks to be most appropriate to group analysis, 4ti2 observed in generator analysis on trees so it may have some functionalities.
Overviews
GAP on Groups, Algorithms, Programming - a System for Computational Discrete Algebra
4ti2 package for algebraic, geometric and combinatorial problems on linear spaces?