Answer:
1. The Federalist party.
AND
2. The Democratic-republican party.
Explanation:
The united states presidential election of 1796 was the "third presidential elections".
The political parties played a very crucial role in this election instead of presidential candidates.
"John Adam" is the presidential candidate of the Federalist party.
"Thomas Jefferson" is the presidential candidate of The Democratic-republican party.
"John Adam" of The Federalist party 'won' the presidential election of 1796 by defeating the "Thomas Jefferson" of the Democratic-republican party.