As per my understanding Field group/Single Page and Field group(list)/Page List are same, they are just referred with the different names based on the place of the reference. In the Case > Configure View > Fields tab(the properties are referred as fields that might be the reason behind naming them as Field group/Field group(list) instead of Single Page/Page List, but at the back end system will create Single Page and Page List type properties only when you add these types in Fields tab).
A Page List property consists of an ordered list of pages, each identified by an integer index (starting with 1). The Page List property is the most commonly used property mode for holding lists of data.
A Page Group property consists of an unordered set of pages, each identified by a string subscript value. Use a Page Group property for large lists when you need to frequently look up specific pages by a unique identifier and the order of the pages does not need to be maintained.