{4, 1, 0, 0, 0, 0, 1}

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

985	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6}
1232	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
3397	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
58	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6,1⇿6}
29	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0