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

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

7202	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6}
1358	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,2⇿6}
5909	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿6}
336	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿4,2⇿6}
618	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,3⇿6}
280	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,4⇿6}
308	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿4}
319	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿3,1⇿6}
142	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿4,1⇿6}
37	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿3,1⇿5}
46	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿5}
26	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿3,2⇿6,1⇿6}
25	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿4,3⇿6}
16	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,2⇿4}
1	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿4,2⇿5,3⇿6}
12	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿3,2⇿6}
17	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿3,1⇿5,2⇿6}
4	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿3,1⇿4,1⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,2⇿5}
2	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿3,1⇿4,1⇿5}
1	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿3,1⇿4,1⇿5,2⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿4,1⇿5}
3	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿3,1⇿4,2⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,2⇿5,3⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,2⇿4,3⇿5,1⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,1⇿3,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0