{5, 1, 0, 0, 0, 0, 1}

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

14931	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6}
17171	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿4,1⇿6}
1625	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6}
919	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿6}
181	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿5,2⇿6}
244	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,1⇿6}
264	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6}
139	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿6}
42	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿5,1⇿6}
38	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿4,2⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,2⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,2⇿5,2⇿6}

Created with Wolfram Mathematica 9.0