SymmetricGroupIndex[n, x] returns the cycle index of the symmetric group on n symbols, expressed as a polynomial in x[1], x[2], ..., x[n].

SymmetricGroup[n] returns the symmetric group on n symbols.

SymmetricQ[r] tests if a given square matrix r represents a symmetric relation. SymmetricQ[g] tests if the edges of a given graph represent a symmetric relation.

TableauClasses[p] partitions the elements of permutation p into classes according to their initial columns during Young tableaux construction.

TableauQ[t] yields True if and only if t represents a Young tableau.

Tableaux[p] constructs all tableaux having a shape given by integer partition p.

TableauxToPermutation[t_1, t_2] constructs the unique permutation associated with Young tableaux t_1 and t_2, where both tableaux have the same shape.

TetrahedralGraph returns the graph corresponding to the tetrahedron, a Platonic solid.

ThickDashed is a value that the option EdgeStyle can take on in the graph data structure or in ShowGraph.

ThinDashed is a value that the option EdgeStyle can take on in the graph data structure or in ShowGraph.