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

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

110	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
39	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
9	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿5,2⇿6}
20	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿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⇿5,2⇿6}

Created with Wolfram Mathematica 9.0