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

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

87158	{1⇿2,2⇿3,1⇿4,1⇿5,1⇿6}
20494	{1⇿2,2⇿3,3⇿4,1⇿5,1⇿6}
6426	{1⇿2,2⇿3,2⇿4,1⇿5,1⇿6}
1024	{1⇿2,2⇿3,1⇿3,1⇿4,1⇿5,1⇿6}
3864	{1⇿2,2⇿3,3⇿4,1⇿4,1⇿5,1⇿6}
254	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿6}
5935	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿6}
3814	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
91	{1⇿2,2⇿3,3⇿4,3⇿5,2⇿6}
1155	{1⇿2,1⇿3,1⇿4,1⇿5,1⇿6}
603	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿5,1⇿6}
388	{1⇿2,2⇿3,2⇿4,2⇿5,1⇿6}
11	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,2⇿6}
5	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}
3	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿4,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0