Which comes first administration or management?

Which comes first administration or management?
Leadership comes first. Leaders create visions of where an organization needs to be. The organization's vision drives planning, which serves as the guide to future management decisions which move the organization toward the envisioned future state.

Management gets the organization from point A (where we are) to point B (the vision). Managers breakdown the journey into smaller and smaller pieces until they reach achievable tasks.

Administration is created to provide an infrastructure of common capabilities so that each manager does not have to duplicate efforts such as HR functions and purchasing processes.

Since you can manage without administration the answer to the question is "Management comes first" and only when a company reaches a certain size will Administrators be hired and an administrative infrastructure be set up.