fascist*
conservative are christian democrats (in the US a close equivalent would be Rockefeller Reps, à la Charlie Baker. Those are the real Reps.
a conservative is interested in keeping things as is, stable, favouring democracy (even if imperfect). They prefer to avoid a perceived 'haste' in change, but do not outright oppose it.
a fascist opposes both; they above all break down labour rights and align with the reactionary, irresponsible bourgeoise, rather than the proletariat whose labour they employ. Fascism favours the radical change into militarism to enforce its will, rather than building bridges through dialogue.