The phrase "admit of" means to allow or permit something to happen. There are numerous synonyms for this phrase, including "permit," "allow," "tolerate," "accept," "accommodate," "yield to," "grant," "facilitate," and "receive." Each of these synonyms refers to the idea of giving permission or making something possible. For example, if a person is allowed to enter a building, they are admitted into the premises. Similarly, if a company is accommodating to its customers' needs, it is admitting of their needs and facilitating their satisfaction. It is important to note that each synonym carries with it a slightly different connotation or nuance, but all signify the act of permitting or allowing.