Hehe... They obviously meant a playable race, as in faction, group of people, e.g. Human, Orcs, Undead or Night Elves in Reign of Chaos.
For reference - check the second definition group here:
1. a competition in which all the competitors try to be the fastest and to…
dictionary.cambridge.org
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Anyway, OP, it's pretty easy to make these icons yourself:
1. Download this program:
Button Manager v1.8.2
2. Go to File -> Open File and open an icon that you want to use as your race icon.
3. Go to Tools -> User Borders and select "bm_scorescreen-player.tga"
4. Go to File -> Save File As and save your icon.
Voila, you have just converted a standard icon into a racial scorescreen icon