{6, 0, 0, 0, 0, 0, 1}

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

4944	{1⇿2,2⇿3,3⇿4,6⇿7,3⇿5,1⇿6}
9090	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿4,1⇿6}
11638	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6}
563	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6}
5523	{1⇿2,2⇿3,3⇿4,6⇿7,2⇿5,1⇿6}
1327	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6}
263	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿5,2⇿6}
1770	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7}
141	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿6}
771	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿6}
235	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,1⇿6}
203	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7,1⇿7}
69	{1⇿2,2⇿3,3⇿4,6⇿7,2⇿5,1⇿5,1⇿6}
42	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿5,1⇿6}
27	{1⇿2,2⇿3,3⇿4,6⇿7,1⇿3,2⇿5,1⇿6}
148	{1⇿2,2⇿3,3⇿4,6⇿7,3⇿5,1⇿4,1⇿6}
57	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿4,2⇿6}
53	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,3⇿6}
28	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6,1⇿7}
7	{1⇿2,2⇿3,3⇿4,6⇿7,2⇿5,1⇿6,1⇿7}
8	{1⇿2,2⇿3,3⇿4,6⇿7,3⇿5,1⇿6,1⇿7}
16	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7,1⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,2⇿5,2⇿6}
4	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7,1⇿5}
2	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,2⇿6}
6	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7,2⇿7}
2	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6,1⇿7}
2	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7,1⇿3,1⇿7}
1	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7,1⇿3,1⇿6}
1	{1⇿2,2⇿3,3⇿4,6⇿7,1⇿3,3⇿5,1⇿6}

Created with Wolfram Mathematica 9.0