{7, 1, 0, 0, 0, 0, 0}

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

17649	{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⇿8,1⇿3,2⇿6}
1825	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿5,1⇿6}
538	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,1⇿6}
278	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿5,2⇿6}
67	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿6}
76	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,2⇿6}
4	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,1⇿6}
34	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,2⇿5,2⇿6}
45	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,2⇿5,2⇿6}
52	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿5,1⇿6}
12	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿4,1⇿6}
10	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿5,2⇿6}
9	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0