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

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

1998	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿4,1⇿6}
1726	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6}
1731	{1⇿2,2⇿3,3⇿4,6⇿7,2⇿5,1⇿5,1⇿6}
94	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6}
85	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿6}
447	{1⇿2,2⇿3,3⇿4,6⇿7,3⇿5,1⇿6}
329	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7}
144	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6}
381	{1⇿2,2⇿3,3⇿4,6⇿7,2⇿5,1⇿6}
24	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,1⇿6}
21	{1⇿2,2⇿3,3⇿4,6⇿7,3⇿5,1⇿4,1⇿6}
3	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7,1⇿6}
12	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿5,2⇿6}
4	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿5,1⇿6}
3	{1⇿2,2⇿3,3⇿4,6⇿7,1⇿3,2⇿5,1⇿6}
7	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7,1⇿7}
3	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,3⇿6}
8	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿6}
3	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6,1⇿7}

Created with Wolfram Mathematica 9.0