The pharmaceutical industry is made up of small local and also very large national and international companies. Some have manufacturing and marketing facilities, others concentrate solely on research and development. Most of these companies employ statisticians sometimes in very large groups of perhaps 20 or 30 statisticians.
Contract Research Organisations (CROs) employ statisticians too. CROs provide research and development services to pharmaceutical companies. They often work in tandem with large manufacturing pharmaceutical companies to obtain product approval from regulatory authorities all round the world. Statisticians working in CROs tend to have exposure to more therapeutic areas and styles of summarising data but are less involved in major decisions.
Regulatory authorities also employ their own statisticians, typically known as statistical assessors. They are responsible for scrutiny of the statistical content of submissions for regulatory approval of a drug after its development through all the stages of clinical trials.
A good source of information on vacancies is the Statistics in the Pharmaceutical Industry (PSI) website where many positions in the pharmaceutical industry are advertised.
Most of the pharmaceutical companies and CROs have career sections on their websites. You can register on many of these, so that if a position matching your requirements becomes available you will be alerted by email or text.