King Vegeta's Elite
From Dragon Ball Encyclopedia, the ''Dragon Ball'' wiki
At some point, King Vegeta gathered a group of the most powerful Saiyan elites/generals (presumably for the day they would defect from Freeza). During one of their assignments, Vegeta executed several inhabitants of a planet while Nappa and three others in King Vegeta's Elite laughed sadictically. When the inhabitants of the planet defended themselves, King Vegeta's Elite shielded themselves (either with technology or their own energy shield). Then, King Vegeta effortlessly destroyed the survivors with an Explosive Wave while Nappa, his son, and the three elites watched, of which the resulting Explosive Wave was powerful enough to destroy both the planet they were currently on as well as the neighboring planets.
Eradication of the Saiyan race
After Dodoria's Elite did away with a band of low-class Saiyan soldiers, King Vegeta and his strongest soldiers staged an invasion of Freeza's Spaceship, to which Freeza retaliated by killing King Vegeta and his soldiers. Freeza then obliterated Bardock, Planet Vegeta, and the entire Saiyan race along with it when he launched a Supernova at Planet Vegeta.
They are named Saiya-jin no Chō-eriito (サイヤ人 の 超 エリート, Saiya-jin no Chō-eriito) in Miracle Battle Carddass Dragon Ball Kai.