{5, 0, 0, 1, 0, 0, 0}

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

3708	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
1808	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}
6628	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
954	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6}
34	{1⇿2,2⇿3,3⇿4,1⇿4,2⇿5,2⇿6}
118	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6,1⇿6}
14	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿6}
38	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,2⇿6}
62	{1⇿2,2⇿3,3⇿4,1⇿4,2⇿5,1⇿6}
7	{1⇿2,2⇿3,3⇿4,2⇿4,2⇿5,1⇿6}
43	{1⇿2,2⇿3,3⇿4,2⇿4,2⇿5,2⇿6}
6	{1⇿2,2⇿3,3⇿4,2⇿4,2⇿5,1⇿5,2⇿6}
3	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿5,2⇿6}

Created with Wolfram Mathematica 9.0