systematizer vs orderer

systematizer and orderer both are nouns.

Word	Noun	Adjective	Verb	Adverb
systematizer	Yes	No	No	No
orderer	Yes	No	No	No

As nouns, systematizer and orderer are synonyms defined as:

Other synonyms of systematizer include systematiser, systematist, systemiser, systemizer.

systematizer (noun)	orderer (noun)
an organizer who puts things in order	an organizer who puts things in order
	someone who places an order to buy