The functions Orbit (see Orbit) and Stabilizer (see Stabilizer
and Stabilizer for Ag Groups) compute the orbit and stabilizer of an ag
group acting on a domain.
AgOrbitStabilizer (see AgOrbitStabilizer) computes the orbit and
stabilizer in case that a compatible homomorphism into a group H
exists, such that the action of H on the domain is more efficient than
the operation of the ag group; for example, if an ag group acts linearly
on a vector space, the operation can by described using matrices.
The functions AffineOperation (see AffineOperation) and
LinearOperation (see LinearOperation) compute matrix groups
describing the affine or linear action of an ag group on a vector space.
GAP 3.4.4