{6, 0, 0, 0, 0, 0, 0}

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

3156	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
5631	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
3425	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}
1382	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6}
64	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,2⇿6}
293	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6,1⇿6}
143	{1⇿2,2⇿3,3⇿4,1⇿4,2⇿5,1⇿6}
53	{1⇿2,2⇿3,3⇿4,1⇿4,2⇿5,2⇿6}
3	{1⇿2,2⇿3,3⇿4,2⇿4,2⇿5,1⇿6}
38	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿6}
12	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿5,2⇿6}
10	{1⇿2,2⇿3,3⇿4,2⇿4,2⇿5,1⇿5,1⇿6}
7	{1⇿2,2⇿3,3⇿4,2⇿4,2⇿5,2⇿6}
1	{1⇿2,2⇿3,3⇿4,2⇿4,2⇿5,1⇿5,2⇿6}

Created with Wolfram Mathematica 9.0