GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
2. List of programs with general description.
(i) makegp
Generating permutations are input as cycles on terminal.
(ii) gprun
Constructs strong generating set, base and Schreier vectors (Sims).
(iii) egrun
Eliminates redundant strong generators, and orders them into format 3.
(iv) sylrun
Finds a Sylow p-subgroup of the group.
(v) normrun
Finds normalizer (or centralizer) of a subgroup.
(iv-v) sylnorm
A combined version of (iv) and (v).
(vi) conrun
Finds coset reps, double coset reps, and converts generating perms.
(vii) pcrun
Finds power commutator representation of a p-group.
(viii) scrun
Calculates intersections P ^ g(-1)Pg and their PCP s.
(ix) selgen
Selects specific generators
(x) chbrun
For changing the base of a permutation group.
(xi) optrun
Other group-theoretic functions on permutation groups.
(xii) matcalc
Preliminary matrix calculations for cohomology computations.
(xiii) matperm
For producing permutation representations of matrix groups.
(xiv) nqmrun
Computes Schur multipliers M of p-groups and action of group elements on M.
(xv) nqrun
For computing Frattini modules and first and second cohomology groups.
(xvi) grrun
For computing strong presentations of permutation groups.
(xvii) extprun
For computing information required for the normal form on extensions.
(xviii) crrun
Computes corestriction.
(xix) readrels
Prints out values of relators of G in an extension of M by G.
(xx) testmf
Computes elementary matrix operations, and outputs to files.
(xxi) testpf
Computes elementary permutation operations, and outputs to files.
(xxii) subdir
For constructing subdirect products of two permutation groups.
(xxiii) wreath
For constructing the wreath product of two permutation groups.
(xxiv) permmat
For computing permutation matrices.
(xxv) tcrun
A simple Todd-Coxeter program.
(xxvi) pkrun
Parker's "meataxe" program to find submodules of a module.
(xxvii) tens
Computes tensor or wedge product of two matrix representations of a group.
(xxviii) matsum
Computes the direct sum of two matrix representations of a group.