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

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

7900	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿6}
822	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿5,1⇿6}
241	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,1⇿6}
15	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,2⇿5,2⇿6}
10	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,2⇿6}
14	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,1⇿6}
26	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,2⇿6}
21	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,2⇿5,2⇿6}
8	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,1⇿5,1⇿6}
10	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿5,2⇿6}

Created with Wolfram Mathematica 9.0