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

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

90	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
623	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
16	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6}
2	{1⇿2,2⇿3,3⇿4,1⇿4,2⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,1⇿4,2⇿5,1⇿5,2⇿6}
1	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,2⇿4,2⇿5,1⇿6}

Created with Wolfram Mathematica 9.0