{6, 2, 0, 0, 0, 0, 0}

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

37	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿5,1⇿6}
624	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿6}
61	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿6}
4	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,1⇿6}
6	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,1⇿6}
6	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿5,2⇿6}

Created with Wolfram Mathematica 9.0