A group of one kind fish that move together?

A group of one kind of fish that move together is called a school.

Here are some other terms that might describe groups of fish:

* Shoal: A loose aggregation of fish, usually of the same species, that may not be moving in a coordinated way.

* Flock: This term is sometimes used for a large group of fish, particularly if they are moving in a coordinated way.

* Aggregation: This is a general term for any group of fish, regardless of species or movement.

It's worth noting that the terms "school" and "shoal" are sometimes used interchangeably, but there is a technical distinction between the two.