- All partitions of n
- All cycletypes of n
- All permutations in S
_{n} - All permutations in S
_{n}in cycle notation - All powers of a cyclic permutation
- The values of the Euler phi function
- The Cauchy Frobenius Lemma for the group
C
_{p}acting on m^{p} - The conjugacy classes in S
_{n} - The sign of a permutation
- The cycle decomposition of a permutation
- The fixed points of a permutation
- The number of fixed points of a permutation
- The Cauchy Frobenius Lemma
- The Cauchy Frobenius Lemma using conjugacy classes
- The Cauchy Frobenius Lemma using conjugacy classes II
- Generators of some permutation groups
- The cycle type of the induced permutation on 2-sets
- The number of cycles of the induced permutation on 2-sets
- The Cauchy Frobenius Lemma on 2-sets
- The number of k-graphs with v vertices
- Orbit representatives for group actions on the domain
- Symmetry classes of mappings
- Symmetry classes of mappings II
- Symmetry classes of injective mappings
- Symmetry classes of surjective mappings
- The Bell numbers
- The Stirling first and second numbers
- The Recontre numbers
- Graphs and their complements
- The number of selfcomplementary graphs
- Cycle indices
- The cycle indices of the linear, affine or projective group
- Composition of cycle indices
- Enumeration of graphs
- List of all graphs with v vertices
- List of all graphs with v vertices and e edges
- List of all necklaces
- The number theoretic Moebius function
- Polyas Theorem
- The Lehmer code
- The reduced decomposition of a permutation
- The number of inversions of a permutation
- SYMMETRICA example files for finite group actions
- The Sims chain
- The conjugacy classes of S
_{m}wreath S_{n} - Number of partitions alpha of nm where alpha
_{1}<=n and l(alpha)<=m - The bruhat order
- Power series for combinatorial species
- Composition of combinatorial species