From Wikipedia
The Medici
Part Two
The Medici family was connected to most other elite families of the time through strategic marriages, partnerships, or employment, as a result of which the Medici family had a position of centrality in the social network: several families had systematic access to the rest of the elite families only through the Medici, perhaps similar to banking relationships. This has been suggested as a reason for the rise of the Medici family. Members of the family rose to some prominence in the early 14th century in the wool trade, especially with France and Spain. Despite the presence of some Medici in the city's government institutions, they were still far less notable than other outstanding families such as the Albizzi or the Strozzi. One Salvestro de' Medici was speaker of the woolmakers' guild during the Ciompi revolt, and one Antonio was exiled from Florence in 1396.
The involvement in another plot in 1400 caused all branches of the
family to be banned from Florentine politics for twenty years, with the
exception of two: from one of the latter, that of Averardo de' Medici, originated the Medici dynasty.