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Its called a trio when there are three performers together.
A group of eight can be called an octad (things) or an octet (often performers), or even an eightsome. A related adjective is octonary (related to or based on eight). In Egyptian Mythology there was a group of eight deities called the Ogdoad (the eightfold). There are also groups that are comprised of eight that go by other things. The "Group of Eight" industrialized countries is known just like that, or by the abbreviation G8. There is also a group called the "Group of Eight" that are Australian Universities.
A group of performerstrio
troupe
A group of performerstrio
a quartet
A singing group of eight is called an octet.
A group of performerstrio
A group of performers can be called a cast or a troupe. Troupe is used especially for traveling groups.
You would call a group of performers something different based on what they are performing, and how many of them there are. For example, a group of performers in a certain type of play could be referred to as a troupe, and a group of 5 musicians in a quintet.
I have the same thing, it's an octet.
A group of eight anything is called an "octet".