The antonyms for the word "nonconformably" include "conformably," which means acting in accordance with accepted standards, rules, or practices, and "accordantly," which means consistent with or in agreement with something. Another possible antonym is "compliantly," which suggests a willingness to follow instructions or rules without question or resistance. On the other hand, "disobediently" is an antonym that describes behavior that goes against what is expected or required. Finally, "unconventionally" is an antonym that suggests a departure from traditional or standard practices or norms, but without necessarily implying a lack of agreement with them.