The operations record for derivations is XModDerivationByImagesOps
.
gap> RecFields( chi.operations ); [ "name", "operations", "IsMapping", "IsInjective", "IsSurjective", "IsBijection", "IsHomomorphism", "IsMonomorphism", "IsEpimorphism", "IsIsomorphism", "IsEndomorphism", "IsAutomorphism", "=", "<", "*", "/", "mod", "Comm", "^", "ImageElm", "ImagesElm", "ImagesSet", "ImagesSource", "ImagesRepresentative", "PreImageElm", "PreImagesSet", "PreImagesRange", "PreImagesRepresentative", "PreImagesElm", "CompositionMapping", "PowerMapping", "IsGroupHomomorphism", "KernelGroupHomomorphism", "IsFieldHomomorphism", "KernelFieldHomomorphism", "InverseMapping", "Print", "IsRegular" ]
GAP 3.4.4