Finding synonyms for the phrase "notorious thugs" can be a challenging task, as it's a unique and specific term. However, there are a few options available. Instead of "notorious," you could use words such as infamous, disreputable, or notorious. Likewise, instead of "thugs," you could use descriptors such as criminals, gangsters, or hooligans. Overall, the key is to use language that captures the essence of what you're trying to convey, whether it's the criminality of a person or the violent nature of a group. Whatever words you choose, it's essential to use them carefully to ensure accurate and appropriate communication.