Fascism is a form of far-right, authoritarian ultranationalism characterized by dictatorial power, forcible suppression of opposition and strong regimentation of society and of the economy which came to prominence in early 20th-century Europe.
Other than the definitions always include the term "far right" the description sounds just like our left.
Correct and the french revolutionary were the first socialist and wanted the destruction of the 1st (the king) and 2nd estate (the clergy) and collective nearly every aspect of society under the public jurisdiction.