Syllable structure is CCVVC, but the only CC onsets are /b d g/ + /l r/. Other clusters take epenthetic schwa.
Hesse's earlier paper _Syllable Structure in Imyan Tehit_ claims that /p/ is nonexistent, has /ɸ/ for /f/, and has consonantal /w/. It's unclear how [w] is supposed to be an allophone of /o/ if it can appear preceding an epenthetic vowel.
_Syllable Structure in Imyan Tehit_ doesn't give a complete phoneme inventory, but seems to make more sense, so the inventory given here agrees with it where it and the listed source disagree.