In my opinion the team will consist of many members, and depending on your style of investing, the members may vary.
However, some that will be commonly on the team are: settlement agents, insurance agents, wholesalers (locating off market deals), investor-friendly realtors (for bidding on listed props, for "pocket listings", for bidding on foreclosures, short sales, government foreclosures, gaining ARV comps, etc. Also realtors that specialize in retail listings and/or first time buyers (if you are flipping props). Contractors of various types and specialties, and lending or capital sources.
As for the order that they are gained, it depends, but for me it would be a toss up between the capital sources and the property locator sources (sort of which came first, the chicken or egg). Then followed by settlement agents, insurance agents and contractors.
This might not be the same for others, as it depends on what team members you need vs may not.
One thing that I found to be true was that the team grows over time and sometimes the need to replace team members is necessary.
Good luck!