I'll make this easy for you. This is the info you need, just put it in a chart.
The Federalist Party grew from the national network of Washington's Secretary of the Treasury, Alexander Hamilton, who favored a strong united central government, close ties to Britain, a centralized banking system, and close links between the government and men of wealth.
The Democratic-Republican Party Party was founded by Madison and Thomas Jefferson, who strongly opposed Hamilton's agenda. The Jeffersonians (Democratic-Republicans) were deeply committed to American republicanism, which meant opposition to aristocracy of any form, opposition to corruption, insistence on virtue, with a priority for the "yeoman farmer", "planters", and the "plain folk".