Can = to be able to - expresses ability, possibility etc.
May = to be allowed, to be permitted - expresses permission, possibility etc.
Must = to have to, to be obligated to - obligation, necessity, supposition etc.
Should + bare inf = ought to + bare inf - obligation or duty, smt advice
To be + inf = modal verbs of obligation - order, arrangement, possibility. Used only in Present and Past Simple
Shall - promise, order, futurity
Will - volition, insistence, futurity
Dare + indefinite inf- means "to have the courage to do something". Mostly used in interrogative and negative sentences