Chroetechnics or Chreotechnics: How To spell?

The word Chroetechnics is misspelled against Chreotechnics, a noun meaning "The science of the useful arts, esp. agriculture, manufactures, and commerce."

Word contains consecutive vowels 'EO' in between alphabets chr & technics is misspelled as 'OE'
Wrong Spelling:  chr-oe-technics 
Correct Spelling:  chr-eo-technics 
Find more incorrect spellings of Chreotechnics to spell right way.