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

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

13907	{1⇿2,2⇿3,3⇿4,1⇿5,1⇿6}
3948	{1⇿2,2⇿3,2⇿4,1⇿5,1⇿6}
23964	{1⇿2,2⇿3,1⇿4,1⇿5,1⇿6}
3938	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
3416	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿6}
1139	{1⇿2,2⇿3,3⇿4,1⇿4,1⇿5,1⇿6}
521	{1⇿2,2⇿3,2⇿4,2⇿5,1⇿6}
224	{1⇿2,1⇿3,1⇿4,1⇿5,1⇿6}
80	{1⇿2,2⇿3,3⇿4,3⇿5,2⇿6}
189	{1⇿2,2⇿3,1⇿3,1⇿4,1⇿5,1⇿6}
107	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿6}
11	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿6}
36	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,1⇿6}
1	{1⇿2,2⇿3,3⇿4,3⇿5,3⇿6}
2	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,2⇿6}

Created with Wolfram Mathematica 9.0