subdivision vs division

subdivision and division both are nouns.

Word	Noun	Adjective	Verb	Adverb
subdivision	Yes	No	No	No
division	Yes	No	No	No

As nouns, division is a hypernym of subdivision; that is, division is a word with a broader meaning than subdivision:

subdivision: the act of subdividing; division of something previously divided
division: the act of dividing or partitioning; separation by the creation of a boundary that divides or keeps apart

Other hypernyms of subdivision include partition, partitioning, sectionalisation, sectionalization, segmentation.

As nouns, division is a hypernym of subdivision; that is, division is a word with a broader meaning than subdivision:

subdivision (noun)	division (noun)
the act of subdividing; division of something previously divided	the act or process of dividing
a section of a section; a part of a part; i.e., a part of something already divided	an arithmetic operation that is the inverse of multiplication; the quotient of two numbers is computed
a self-contained part of a larger composition (written or musical)	the act of dividing or partitioning; separation by the creation of a boundary that divides or keeps apart
a division of some larger or more complex organization	one of the portions into which something is regarded as divided and which together constitute a whole
an area composed of subdivided lots	discord that splits a group
	an army unit large enough to sustain combat
	a group of ships of similar type
	a unit of the United States Air Force usually comprising two or more wings
	an administrative unit in government or business
	(botany) taxonomic unit of plants corresponding to a phylum
	(biology) a group of organisms forming a subdivision of a larger category
	a league ranked by quality