The Laurel was granted to the Red Clan that mined the most helium. It means extra provisions and was only given to the Gamma clan.
“The Laurel. Twenty-four clans in the underground mining colony of Lykos, one Laurel per quarter. It means more food than you can eat. It means more burners to smoke. Imported quilts from Earth. Amber swill with the Society’s quality markings. It means winning. Gamma clan has had it since anyone can remember. So it’s always been about the Quota for us lesser clans, just enough to scrape by. Eo says the Laurel is the carrot the Society dangles, always just far enough beyond our grasp. Just enough so we know how short we really are and how little we can do about it.” - Red Rising, Chapter 1: Helldiver