group vs batch

group and batch both are nouns.

Word	Noun	Adjective	Verb	Adverb
group	Yes	No	Yes	No
batch	Yes	No	Yes	No

As verbs, batch is a hyponym of group; that is, batch is a word with a more specific, narrower meaning than group:

Other hyponyms of group include regroup, bracket, chunk, collocate, lump.

group (noun)	batch (noun)
any number of entities (members) considered as a unit	a collection of things or persons to be handled together
a set that is closed, associative, has an identity element and every element has an inverse	all the loaves of bread baked at the same time
(chemistry) two or more atoms bound together as a single unit and forming part of a molecule	(often followed by `of') a large number or amount or extent

group (verb)	batch (verb)
arrange into a group or groups	batch together; assemble or process as a batch
form a group or group together