They are held in high/good/bad/low 'repute'. [=they have a good/bad reputation]
She was a 'woman of ill repute'. [='prostitute, whore']
a 'house of ill repute' [='brothel, whorehouse']
(..) This faceless man with whom you find yourself in business is no ordinary criminal. He's the Napoleon of crime. Fortunately, You now have me as an ally. I'm a consulting detective of some repute... Perhaps you've heard of me. My name is Sherlock Hol.. Holmes.. Yes, Miss Adler. (..)2011 Sherlock Holmes: A Game of Shadows