What if Andrew Jackson won in 1824?

To my understanding, the Democratic Party was created by angry Andrew Jackson supporters who were burnt after their loss in 1824. Assuming that Jackson won in 1824, what would become of the Democrats? Would they continue to exist in a different form? If so, what form? Or would the Democratic-Republicans continue to exist under the Jacksonian banner?
 
By 1824, the Democratic-Republicans was already more-or-less divided between the Jacksonians (who would form the Democratic Party) and the National Republicans (who would form the Whig Party). If Jackson was elected earlier, these factions would still split into separate parties, though it's impossible to say what names they would use.
 
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