sorting vs grouping

sorting and grouping both are nouns.

Word	Noun	Adjective	Verb	Adverb
sorting	Yes	No	No	No
grouping	Yes	No	No	No

As nouns, grouping is a hypernym of sorting; that is, grouping is a word with a broader meaning than sorting:

sorting (noun)	grouping (noun)
grouping by class or kind or size	any number of entities (members) considered as a unit
the basic cognitive process of arranging into classes or categories	the activity of putting things together in groups
an operation that segregates items into groups according to a specified criterion	a system for classifying things into groups