Scalar irreducible parts of sixth rank tensor

A reduction procedure for decomposing a Cartesian tensor of rank into its irreducible parts is given. The numbers of different irreducible parts of the sixth rank Cartesian tensor are calculated. The number of independentcomponents of sixth rank Cartesian tensor is computed. The scalar normalized irreducible parts of sixth rank Cartesian tensor are presented. Examples of different symmetry of sixth rank tensors are given.