Characteristic monomial tables for enumeration of achiral and chiral isomers

The characteristic monomial table of an achiral group is applied to combina torial enumeration of the following types: (1) achiral isomers and enantiom eric pairs, (2) achiral isomers and chiral isomers, (3) enantiomeric pairs, and (4) achiral isomers. The cycle index of each case is obtained by using the same set of subduced cycle indices derived from characteristic monomia ls, where the coefficients of the subduced cycle indices are given in advan ce.