Example image of eyePlorer eyePlorer map for 'Symmetric group': Automorphism Function (mathematics) Function composition Group (mathematics) Injective function Mathematics Set (mathematics) Surjective function Combinatorics Galois theory Invariant theory Representation of a Lie group Cayley's theorem Conjugacy class Group isomorphism Presentation of a group Subgroup Finite set Factorial Order (group theory) Galois group Polynomial Symmetric function Representation theory of the symmetric group Schur functor Coxeter group General linear group Weyl group Group representation Permutation Plactic monoid Young tableau Graph Group action Higman–Sims graph Higman–Sims group Homogeneous space Permutation group Cycle (mathematics) Inverse function Parity of a permutation Group homomorphism Identity element Alternating group Kernel (algebra) Normal subgroup Semidirect product Up to Faro shuffle Longest element of a Coxeter group