This inheritance list is sorted roughly, but not completely, alphabetically:

CAActor
CAInkRuntime	Instantiated story with global variable storage and access, used to instantiate new threads
Cink::runtime::choice	An ink choice that is being presented to the user
Cink::compiler::compilation_results	Stores results from the compilation process
Cink::config::statistics::container	Statistic data for an container data type
CFInkHandle	Generic registration handle returned by all Register* functions on AInkRuntime and UInkThread
CFInkSnapshot	A serializable snapshot of a runtime state Can be used as variable in a USaveGame to be stored and reloaded
CFInkVar	A wrapper for passing around ink vars to and from ink itself
Cink::runtime::list_interface::iterator::Flag	Flag data
CFListFlag	A single flag of a list
Cink::config::statistics::global	Stastics for state managed for one runtime
Cink::runtime::globals_interface	Represents a global store to be shared amongst ink runners
CHInkChoice	Handler for a ink choice
CHInkGlobals	Handle for the global variable store shared among ink runners
CHInkList	Handler for a ink list
CHInkRunner	A handle for an ink runner
CHInkSnapshot	Handler for a ink snapshot
CHInkStory	Handle for a loaded ink story
CInkListIter	Iterater used to iterate flags of a HInkList
CInkValue	Repserentation of a ink variable
Cink::runtime::list_interface::iterator	Iterater for flags in a list
Cink::runtime::list_interface	Interface for accessing a Ink list
Cink::config::statistics::list_table	Statistics for managed lists, including static and dynamic enties
Cink::config::statistics::runner	Stastics for state managed for one thread inside a runtime
Cink::runtime::runner_interface	A runner to execute ink script from a story
Cink::runtime::snapshot	Container for an InkCPP runtime snapshot, which can be migrated
Cink::runtime::story	A loaded ink story
Cink::runtime::story_ptr< T >	Pointer wrapper to an object whose lifetime is tied to a story object
Cink::runtime::story_ptr< globals_interface >
Cink::runtime::story_ptr< runner_interface >
Cink::config::statistics::string_table	Statistiacs to managed strings, which are build at runtime
CUBlueprintAsyncActionBase
CUInkMigratableSnapshotAsync	A helper class to create migratable snapshots
CUBlueprintFunctionLibrary
CUInkVarLibrary	Conversion Methods for FInkVar
CUObject
CUInkAsset	Assets containing a InkCPP .bin
CUInkChoice	Representing a Ink Choice in the story flow
CUInkList	Allows reading ink lists
CUInkThread	Base class for all ink threads
CUTagList	Helpful tag list
Cink::runtime::value	A Ink variable