There are several antonyms for the word "coequalities," which refers to the state of being equal in rank, value, or importance. Some of the antonyms for coequalities include inequality, imbalance, disproportion, discrimination, partiality, and inequity. These words indicate a lack of balance and fairness, which can lead to feelings of injustice and oppression. In a society or organization, coequalities are essential for promoting equality, fairness, and respect for everyone's rights and dignity. Therefore, it is crucial to recognize, acknowledge, and address any inequalities and imbalances that may exist and strive to create a more equitable and just society for all.