Matoelogy or Mateology: How To spell?

The word Matoelogy is misspelled against Mateology, a noun meaning "A vain, unprofitable discourse or inquiry."

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