What makes a type different from class and vice versa?
(In the general language-agnostic sense)
Type contains description of the data (i.e. properties, operations, etc),
Class is a specific type - it is a template to create instances of objects.
Strictly speaking class is a special concept, it can be seen as a package containing subset of metadata describing some aspects of an object.
For example in C# you can find interfaces and classes. Both of them are types, but interface can only define some contract and can not be instantiated unlike classes.
Simply speaking class is a specialized type used to encapsulate properties and behavior of an object.
Wikipedia can give you a more complete answer: