{3, 2, 0, 0, 0, 0, 1}

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

2639	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
427	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6}
24	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
18	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0