Inspector Bucket is an important character from -

Inspector Bucket is the detective who solved the mystery of Dickens novel Bleak house (Serialised 1852- 53).For Dickens ,In 19 century, his colourless but skillful and decent methods became the standards by which to judge all policemen.
So Bucket has been the first important detective in English literature.
Other characters:
- Leicester Dedlock
- Lady Dedlock
- Esther Summerson
Source: Britanica.com and Sparknotes