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Quaestors had neither lictors nor fasces.
Originally quaestors, as the name shows, were a kind of "investigators". But the right to fasces signified a right of deciding life and death, which was only appliable to praetors (i.e. "judges") and higher magistrates, i.e. consuls and dictators.
Also, on the matter of lictors, we perfectly know that even aediles plebis had no right to lictors, and only aediles curules had two lictors (without fasces!). As quaestors had lower rank compared to aediles, then they obviously had no lictors at all.