We classify, up to equivalence, the orientation-reversing finite non-abelian actions on RP³ which respect a genus 1 Heegaard decomposition. A description is given for each action along with its quotient type. There are seven different quotient types, and for each quotient type there is only one equivalence class. Examples are given of non-abelian actions which do not respect a genus 1 Heegaard decomposition.

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