\letter A `AbelianNormalSeries', 4 A library of primitive nilpotent groups, \indexit{6} \letter C `ClassLimit', 4 Constructing some nilpotent matrix groups, \indexit{7} \letter F Finiteness, Sylow subgroups, testing complete reducibility, \indexit{5} Further examples of nilpotent matrix groups, \indexit{6} \letter I `IsCompletelyReducibleNilpotentMatGroup', 5 `IsFiniteNilpotentMatGroup', 5 `IsNilpotentMatGroup', 5 `IsUnipotentMatGroup', 4 \letter J `JordanSplitting', 4 \letter M `Maximal\-Absolutely\-Irreducible\-Nilpotent\-Mat\-Group', 6 `MonomialNilpotentMatGroup', 6 \letter N Nilmat package, 3, 4, 7, 10 `NilpotentPrimitiveMatGroups', 6 \letter P `PiPrimarySplitting', 4 Preliminaries, \indexit{4} \letter R `ReducibleNilpotentMatGroup', 6 \letter S `SizeOfNilpotentMatGroup', 5 `SizesOfNilpotentPrimitiveMatGroups', 6 `SylowSubgroupsOfNilpotentFFMatGroup', 5 \letter T Testing nilpotency, \indexit{5} Testing nilpotency and other functions, \indexit{8} \letter U Using the library of primitive nilpotent groups, \indexit{9}