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

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

162	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿5,2⇿6}
55	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿6}
53	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,2⇿6}
48	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿6}
6	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿5,2⇿6}
3	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,2⇿5,2⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿5,2⇿6}

Created with Wolfram Mathematica 9.0