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

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

3976	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿5,1⇿6}
15515	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6}
23259	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿6}
11139	{1⇿2,2⇿3,3⇿4,4⇿5,3⇿6}
1594	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,1⇿6}
1029	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6,1⇿5}
32	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿5,1⇿6}
134	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,4⇿6}
340	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿6}
58	{1⇿2,2⇿3,3⇿4,4⇿5,3⇿6,1⇿6}
65	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,3⇿6}
78	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,3⇿6}
29	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿4,1⇿6}
8	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,3⇿6,1⇿6}
3	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6,2⇿5}
11	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿5,1⇿6}
6	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6,1⇿4}
3	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿5,1⇿6}
3	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿4,2⇿5,1⇿6}

Created with Wolfram Mathematica 9.0