Syncretism is not a single ideology, but rather a group of ideologies that combine various aspects of the Left and Right. It's inherently Centrist, however, may be placed elsewhere on certain political spectrums.
Syncretism generally refers to Economic Synretism, which prescribes a rejection of both Capitalism and Socialism, instead melding together ideas from both sides.
It may also refer to ideologies that are on opposite sides of the spectrum in relation to social and economic policy.
Examples include Falangism, Corporatism, Syndicalism, Peronism, and even Libertarianism by some metrics.