The operations record for sections is Cat1SectionByImagesOps.
gap> RecFields( xi.operations );
[ "name", "operations", "IsMapping", "IsInjective", "IsSurjective",
"IsBijection", "IsHomomorphism", "IsMonomorphism", "IsEpimorphism",
"IsIsomorphism", "IsEndomorphism", "IsAutomorphism", "=", "<", "*",
"/", "mod", "Comm", "^", "ImageElm", "ImagesElm", "ImagesSet",
"ImagesSource","ImagesRepresentative", "PreImageElm", "PreImagesElm",
"PreImagesSet", "PreImagesRange", "PreImagesRepresentative",
"CompositionMapping", "PowerMapping", "InverseMapping",
"IsGroupHomomorphism", "CoKernel", "KernelGroupHomomorphism",
"MakeMapping", "Print", "IsRegular" ]
GAP 3.4.4