{3, 1, 2, 0, 0, 0, 0}

Table of Percent Abundance (row: Lie-type, col: Group Factor):

111	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
65	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6}
13	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
3	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6,1⇿6}
9	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0