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

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

15464	{1⇿2,2⇿3,3⇿4,1⇿5,1⇿6}
19488	{1⇿2,2⇿3,1⇿4,1⇿5,1⇿6}
256	{1⇿2,2⇿3,1⇿3,1⇿4,1⇿5,1⇿6}
1136	{1⇿2,2⇿3,2⇿4,2⇿5,1⇿6}
4317	{1⇿2,2⇿3,2⇿4,1⇿5,1⇿6}
1446	{1⇿2,2⇿3,3⇿4,1⇿4,1⇿5,1⇿6}
283	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿6}
323	{1⇿2,1⇿3,1⇿4,1⇿5,1⇿6}
7589	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿6}
7582	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
666	{1⇿2,2⇿3,3⇿4,3⇿5,2⇿6}
101	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿5,1⇿6}
28	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
2	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,2⇿6}
10	{1⇿2,2⇿3,3⇿4,3⇿5,3⇿6}
17	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿6}
4	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,1⇿6}
1	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿4,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0