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

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

1478	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿5,1⇿6}
14233	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿6}
39	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,2⇿6}
434	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,1⇿6}
32	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,2⇿5,2⇿6}
200	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿5,2⇿6}
49	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,2⇿6}
73	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿6}
25	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿4,2⇿5,2⇿6}
10	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿4,1⇿6}
11	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,1⇿5,1⇿6}
30	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿5,1⇿6}
5	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,2⇿5,2⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,7⇿8,1⇿3,1⇿6}

Created with Wolfram Mathematica 9.0