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