Compagnie des Indes 'Company of the Indies') or India Company, refer to several european chartered companies involved in long-distance trading. The Indian Company, a general term, was a company that dealt with trade between a European capital and its colonies.
The word India was used, until the 19th century, to refer to various lands, because the world had not yet been mapped accurately.

Great Britain
East India Company
Company of Scotland

Netherlands
Dutch East India Company (VOC)

Belgium
Ostend Comagnie

Portugal
Portuguese East India Company Sweden
Swedish East India Company

France
First French East Indies Company, in existence from 1604 to 1614
French West India Company, active in the Western Hemisphere from 1664 to 1674
Louis XIV's East India Company,merged into Law's Company in 1719
French Indies Company, created in 1723 from the reorganization of the non-monetary operations of Law's Company, liquidated in 1770
Compagnie de Calonne, established in 1785 and liquidated in 1794