{4, 0, 2, 0, 0, 0, 0}

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

199	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6,1⇿5}
2438	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6}
1073	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6,1⇿4}
397	{1⇿2,2⇿3,3⇿4,4⇿5,3⇿6}
62	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿5,1⇿6}
122	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,1⇿6}
24	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,3⇿6}
28	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,4⇿6}
4	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6,1⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,3⇿6}

Created with Wolfram Mathematica 9.0