well known for some bad quality or deed

कुख्यात

English Usage: The infamous criminal was finally caught by the police.

Hindi Usage: कुख्यात अपराधी को अंततः पुलिस ने पकड़ लिया।

the state of being well known for some bad quality or deed

बदनामी

English Usage: His infamy grew after the scandal was revealed.

Hindi Usage: स्कैंडल सामने आने के बाद उसकी बदनामी बढ़ गई।