From Halopedia, the Halo wiki
Swords of Sanghelios ranks
Ranks that I believe are a part of the Swords of Sanghelios are on the left, while ones that I am unsure of or don't believe they are SoS ranks are on the right:
I don't think it is fair to say that Lekgolo are part of the Swords of Sanghelios at the moment. They sided with the Sangheili during the Great Schism, but I don't think that means that they joined the Swords of Sanghelios after the war.
When do Kig-Yar appear as part of the Swords of Sanghelios? Escalation shows Jiralhanae attacking Kig-Yar, but I thought that was the Jiralhanae attacking a Kig-Yar colony (as Jiralhanae desperately needed supplies from whether they could find it) rather than the Kig-Yar defending a Sangheili colony.