For example, the initial partition is and the refined partition for the first row is . {3, 2} {1, 2, 2} Here the number of cycle transpositions is 3 since the first entry of the former partition is 3. The cycle transpositions are and . These cycles are calculated row by row (1, 1), (1, 3) for all the partitions. The symmetry group of the molecule is calculated by the multiplication of all these cycles. The list of the partitions and their cycles are listed below: