{6, 1, 0, 1, 0, 0, 0}

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

12572	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,2⇿8}
3118	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,1⇿8}
212	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,1⇿7,1⇿8}
711	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,2⇿8,1⇿8}
17	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,6⇿8,2⇿6}
97	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,2⇿7,2⇿8}
9	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,1⇿6,2⇿8,1⇿8}
33	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,1⇿6,1⇿8}
9	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,1⇿6,2⇿8}
4	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,2⇿7,1⇿8}
2	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,1⇿7,2⇿8}
1	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6,2⇿7,2⇿8,1⇿8}

Created with Wolfram Mathematica 9.0