{5, 2, 1, 0, 0, 0, 0}

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

174	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿4,1⇿6,1⇿8}
12	{1⇿2,2⇿3,3⇿4,6⇿7,2⇿5,1⇿5,1⇿6,1⇿8}
27	{1⇿2,2⇿3,4⇿5,6⇿7,6⇿8,1⇿4,1⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6,1⇿8}

Created with Wolfram Mathematica 9.0