What kind of compounds are non electrolytes? Why don’t they dissociate into ions in water?

Answer 1

compounds that have only covalent bonds share electrons rather than form separate ionic species. Example, sugar, alkanes like hexane, ect.

Some things like organic amines are covalent, but in water the unpaired share of electrons will bind to H+ in water and make the solution alkaline , the original substance is not dissociated but still the ions increase in the water.

Answer 2

Abe gave an excellent answer.

There is one more minor aspect to the complete answer:
many compounds are insoluble in water. To be an electrolyte, the compound must be readily soluble in aqueous solution.

;-)