{6, 0, 0, 1, 0, 0, 1}

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

2654	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿6}
27	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿4,2⇿6}
164	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿6}
54	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,1⇿6}
33	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,1⇿6}
308	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿5,1⇿6}
116	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿5,2⇿6}

Created with Wolfram Mathematica 9.0