social group vs grouping

social group and grouping both are nouns.

Word	Noun	Adjective	Verb	Adverb
social group	Yes	No	No	No
grouping	Yes	No	No	No

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

Other hypernyms of social group include group.

social group (noun)	grouping (noun)
people sharing some social relation	any number of entities (members) considered as a unit
	the activity of putting things together in groups
	a system for classifying things into groups