{4, 1, 1, 0, 0, 0, 0}

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

16151	{1⇿2,2⇿3,1⇿4,1⇿5,1⇿6}
5199	{1⇿2,2⇿3,3⇿4,1⇿5,1⇿6}
1549	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
2426	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿6}
1494	{1⇿2,2⇿3,2⇿4,1⇿5,1⇿6}
138	{1⇿2,2⇿3,1⇿3,1⇿4,1⇿5,1⇿6}
103	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿6}
231	{1⇿2,2⇿3,2⇿4,2⇿5,1⇿6}
980	{1⇿2,2⇿3,3⇿4,1⇿4,1⇿5,1⇿6}
119	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿5,1⇿6}
79	{1⇿2,1⇿3,1⇿4,1⇿5,1⇿6}
41	{1⇿2,2⇿3,3⇿4,3⇿5,2⇿6}
3	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿6}
1	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,2⇿6}

Created with Wolfram Mathematica 9.0