Here are the classes, structs, unions and interfaces with brief descriptions:

Npermlib
Nclassic
CBacktrackSearch	Searching in a group with classical backtracking
CIntersectionSearch	Subgroup search for a group intersection based on classical backtracking
CLexSmallerImageSearch	Coset representative search for a lex-smaller set images
CSetImageSearch	Coset representative search for a set image based on classical backtracking
CSetStabilizerSearch	Subgroup search for a set stabilizer based on classical backtracking
Nexports
CBSGSSchreierData	Data structure with elementary data types to represent a BSGS based on SchreierTreeTransversal
CBSGSSchreierBase	Base class for import/export of a BSGS based on SchreierTreeTransversal
CBSGSSchreierExport	Export of a BSGS based on SchreierTreeTransversal
CBSGSSchreierImport	Import of a BSGS based on SchreierTreeTransversal
Nhelpers
CSupportRestriction	Helper class to decide when an permutation action on a set is trivial or can be reduced to a subset
CBaseSupportRestriction	This class never imposes a restriction on any set
CReducedSupportRestriction	This class implements canBeIgnored() but has a trivial set()
CFullSupportRestriction	This class implements both canBeIgnored() and set()
Npartition
CBacktrackRefinement	Backtrack refinement
CGroupRefinement	Concrete $\mathcal P$ -refinements for group membership
CGroupRefinementFamily	$\mathcal P$ -refinements for group membership
CIntersectionSearch	Subgroup search for a group intersection based on partition backtracking
CMatrixAutomorphismRefinementFamily	$\mathcal P$ -refinements for symmetric matrix automorphisms
CMatrixAutomorphismSearch	Subgroup search for the automorphism group of a symmetric matrix based on partition backtracking
CMatrixRefinement1	Concrete $\mathcal P$ -refinement for symmetric matrix automorphisms
CMatrixRefinement2	Concrete $\mathcal P$ -refinement for symmetric matrix automorphisms
CPartition	Partition
CRBase	R-base for partition backtracking
CRefinement	Base class for a $\mathcal P$ -refinement which is used in an R-base and bound to an initial partition
CRefinementFamily	Class of $\mathcal P$ -refinements for a given problem
CSetImageRefinement
CSetImageRefinementFamily	$\mathcal P$ -refinements for set stabilization
CSetImageSearch	Coset representative search for a set image based on partition backtracking
CSetStabilizeRefinement	Concrete $\mathcal P$ -refinements for set stabilization
CSetStabilizeRefinementFamily	$\mathcal P$ -refinements for set stabilization
CSetStabilizerSearch	Subgroup search for a set stabilizer based on partition backtracking
CVectorStabilizerSearch	Subgroup search for a stabilizer of an integer vector based on partition backtracking
CAbstractBSGS	A high level interface implementing a group represented by a BSGS data structure
CAbstractPermutationGroup	A high level interface for a permutation group
CAbstractSymmetricProduct	A high level interface implementing a direct product of symmetric groups
CAlternatingGroupType	Group type for alternating groups
CAnonymousGroupType	Group type for a permutation group whose type could not be determined
CBaseChange	Abstract base class for base change algorithms
CBaseConstruction	Base class for BSGS construction algorithms
CBaseSearch	Base class for searching in a group
CBaseSorter	A sorter that sorts a sequence (e.g. $\Omega$ ) with respect to a given input ordering (e.g. a base)
CBaseSorterByReference	A sorter that sorts a sequence (e.g. $\Omega$ ) with respect to a given input ordering (e.g. a base)
CBaseTranspose	Abstract base class for base transposition
CBlockVectorAction
CBSGS	Represents a base and strong generating set (BSGS)
CBSGSCore	Core data of a base and strong generating set (BSGS)
CBSGSGenerator	Stateful generator of BSGS elements
CBSGSRandomGenerator	Generates uniformly distributed random group elements based on an existing BSGS
CConjugatingBaseChange	Base change by conjugation and, if necessary, transpositions
CCyclicGroupConstruction	BSGS construction for a cyclic group of given order
CCyclicGroupType	Group type for cyclic groups
Cdelete_object	Callable object to delete a pointer
CDeterministicBaseTranspose	Implementation of a deterministic base transposition algorithm
CDirectProductGroupType	Group type for a direct product of two groups
CDSetAction	Action of a permutation on a dynamic bitset
CExplicitTransversal	Transversal class that stores all transversal elements explicitly
CFirstRedundantBasePointInsertionStrategy	Insertion position at first position i such that $G^{[i]}$ stabilizes beta
CGenerator	Interface for group element generators
CGiantTest	Tests a group given by generators for being an Alternating Group or a Symmetric Group
CGiantTestBase
CGroupIntersectionPredicate	Predicate for the subgroup that arises as the intersection of two given groups
CGroupSorter	A sorter that sorts a sequence of permutations with respect to a ordering induced by a base
CGroupType	Abstract base class for permutation group types
CIdentityPredicate	Predicate matching a permutation if it stabilizes a given list of points pointwise
CKnownBSGSConstruction	BSGS construction from a known base and strong generating set
CLexSmallerImagePredicate	Coset-type predicate for group elements that map one set of zeros and ones to a lex-smaller set (w.r.t. to the indices)
CMatrixAutomorphismPredicate	Predicate for the automorphisms of a symmetric matrix
CNamedGroupType	Abstract base class for named groups (such as cyclic and symmetric groups)
CNewBaseChange	Base change by constructing a new base with random schreier sims
COrbit	Abstract base class for orbit computation
COrbitList	Stores an orbit in a sorted list
COrbitSet	Stores an orbit in a set for fast contains() operation
COrderedSorter	A sorter that sorts a sequence with respect to a given input ordering
CPermutation	Permutation class storing all values explicitly
CPermutationWord	Permutation class storing permutations as words of elementary Permutation 's
CPointwiseStabilizerPredicate	Predicate matching a permutation if it stabilizes a given list of points pointwise
CPrimeHelper	Helper class for primality checks
CPrimitivitySGSTest	Tests a transitive group for which a strong generating set is availble for primitivity
CPrimitivityTest	Tests a transitive group is availble for primitivity
CProductReplacementGenerator	Generates nearly-uniformly distributed random group elements using the product replacement algorithm
CRandomBaseTranspose	Implementation of a randomized base transposition algorithm
CRandomGenerator	Abstract base class for random group element generators
CRandomSchreierGenerator	Generates a uniformly distributed random element of $G^{[i]}_\alpha$
CRandomSchreierSimsConstruction	BSGS construction with Random Schreier-Sims algorithm
CRedundantBasePointInsertionStrategy	Strategy for redundant base point insertion
CRefinementFamily
CSchreierGenerator	Stateful generator of Schreier generators
CSchreierSimsConstruction	BSGS construction with classic Schreier-Sims algorithm
CSchreierTreeTransversal	Transversal class that stores transversal elements in a Schreier tree
CSetImagePredicate	Coset-type predicate for group elements that map one set of points onto another given set of points
CSetwiseStabilizerPredicate	Predicate for the subgroup that stabilizes a given point set
CShallowSchreierTreeTransversal	Transversal class that stores elements in a shallow Schreier tree
CSimpleBaseChange	Base change by a sequence of point insertions and transpositions
CStabilizesPointPredicate	Predicate matching points that are stabilized by given permutations
CStrongGeneratingSetSorter	Class that can be used to sort a strong generating set
CSubgroupPredicate	Abstract base class for subgroup (and coset) predicates
CSymmetricGroup	Representation of a symmetric group
CSymmetricGroupRecognitionHeuristic	Fast recognition of symmetric group subgroups
CSymmetricGroupTransversal	Transversal of a symmetric group
CSymmetricGroupType	Group type for symmetric groups
CTransversal	Transversal base class corresponding to a base element $\alpha$
CTrivialAction	Action of a PERM on unsigned long element
CTrivialGroupType	Group type for a trivial permutation group
CTrivialRedundantBasePointInsertionStrategy	Insertion position after first non-trivial transversal
CTrivialSorter	A sorter that sorts a sequence in natural numerical order (1 < 2 < 3 < ...)
CTypeRecognition	Class for a basic type recognition of permutation groups
CVectorStabilizerPredicate	Predicate for the subgroup that stabilizes a given integer vector
CWreathSymmetricGroupType	Group type for a wreath product of symmetric groups