There are some ways chemistry can be divided into categories. Examples of branches of chemistry might include polymer chemistry and geochemistry. Chemical engineering might also be considered a chemistry discipline. There is also overlap between disciplines; biochemistry and organic chemistry, in particular, share a lot in common. But most important division is:

Organic Chemistry
The study of carbon and its compounds; the study of the chemistry of life.

Inorganic Chemistry
The study of compounds not covered by organic chemistry; the study of inorganic compounds, or compounds that don’t contain a C-H bond.

Analytical Chemistry
The study of the chemistry of matter and the development of tools to measure properties of matter.

Physical Chemistry
Branch of chemistry that applies physics to the study of chemistry, which commonly includes the applications of thermodynamics and quantum mechanics to chemistry.

Biochemistry
The study of chemical processes that occur inside of living organisms.