Washington
The 1824 presidential election did mark the final collapse of Republican-Federalist political framework.
Yes, it was.
Thomas Jefferson
1824. John Quincy Adams
John Quincy Adams won over Andrew Jackson in the 1824 election. This election was unusual in that it was ultimately decided by the U.S. House of Representatives after no candidate received a majority of the electoral vote.
The US House of Representatives settled the 1824 election and chose the president in early 1825.
The question is backward: Jefferson's Democratic-Republican Party (formerly called the Anti-Federalists) split into the National Republican Party and the Democratic Party after the contested Presidential election of 1824.
1800 & 1824
Democratic-Republican
The political parties that were in the election of 1800 was the more democratic and states' rights side which was Thomas Jefferson and the strong central government side which was John Adams. Thomas Jefferson won the election of being President. Adams' party was known as the Federalists and Jefferson's as the Republicans.
In the presidential election of 1824, no candidate received a majority of the electoral votes. Instead, the election went to the House of Representatives, where John Quincy Adams ultimately won the presidency.
1824