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

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

15025	{1⇿2,2⇿3,1⇿4,1⇿5,1⇿6}
8645	{1⇿2,2⇿3,3⇿4,1⇿5,1⇿6}
2568	{1⇿2,2⇿3,2⇿4,1⇿5,1⇿6}
5725	{1⇿2,2⇿3,3⇿4,3⇿5,2⇿6}
4233	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
5241	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿6}
1369	{1⇿2,2⇿3,3⇿4,3⇿5,3⇿6}
501	{1⇿2,2⇿3,2⇿4,2⇿5,1⇿6}
1860	{1⇿2,2⇿3,3⇿4,1⇿4,1⇿5,1⇿6}
903	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿6}
134	{1⇿2,1⇿3,1⇿4,1⇿5,1⇿6}
281	{1⇿2,2⇿3,2⇿4,2⇿5,2⇿6}
169	{1⇿2,2⇿3,1⇿3,1⇿4,1⇿5,1⇿6}
175	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
220	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿5,1⇿6}
15	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿6}
5	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,3⇿6}
21	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,3⇿6,1⇿5}
8	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,2⇿6}
8	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,1⇿6}
4	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}
4	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,3⇿6,1⇿5,1⇿6}
1	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿4,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0