What organization has line authority to oversee the management of multiple?

It seems like your question is incomplete. However, in general, an organization with line authority to oversee the management of multiple departments or units typically includes executive leadership roles, such as a CEO or a COO, who are responsible for coordinating operations and ensuring alignment with organizational goals. These leaders have direct oversight over managers and their teams, enabling effective decision-making and resource allocation across the organization. For a specific context, please provide more details.