assembling vs grouping

assembling and grouping both are nouns.

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

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

assembling (noun)	grouping (noun)
the act of gathering something together	any number of entities (members) considered as a unit
	the activity of putting things together in groups
	a system for classifying things into groups