2 Syllables: SU
actually
3 Syllables: SUU
battlefield, factory, faculties, faculty, happily, laxity, Magdalene, rhapsody, Saxony, tactfully
4 Syllables: USUU
olfactory, refractory, unhappily
4 Syllables: UUSU
satisfactory
5 Syllables: UUSUU
manufactory, satisfactorily
6 Syllables: UUUSUU
unsatisfactory

Found 18 words across 6 groupings. Skipped 1 excess word of a similar stem.