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

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

12214	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿6}
13760	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿6}
4361	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿6,1⇿6}
51	{1⇿2,2⇿3,3⇿4,4⇿5,3⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,3⇿6}

Created with Wolfram Mathematica 9.0