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

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

2771	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}
911	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6}
2573	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
3935	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
36	{1⇿2,2⇿3,3⇿4,1⇿4,2⇿5,1⇿5,2⇿6}
609	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿6}
153	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6,1⇿6}
127	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿5,2⇿6}
11	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿5,2⇿6,1⇿6}

Created with Wolfram Mathematica 9.0