The matgrp package provides an implementation of a method for FittingFreeLiftSetup for matrix groups, using the recog package. It will work for matrix groups over finite fields, as well as over residue class rings ``Integers mod n''. It is provided as a package, as it requires other packages (recog, and its dependencies) to be installed.
It is Copyright (C) 2016 by Alexander Hulpke.
It is licensed under GPL v2 or v3. (see http://gnu.org/licenses/gpl.html)
At this point no methods for functions (such as ConjugacyClasses) exist that automatically apply to matrix groups. However if calling FittingFreeLiftSetup on a matrix group first, afterwards certain operations (such as ConjugacyClasses and MaximalSubgroupClassReps) will apply with Solvable radical methods.
The code is still in beta test stage. It is possible that error messages arise when computing the initial data structure. (Some of these are due to the recog package) In such a case simply call the command again.
Fort Collins, February 2016