{5, 0, 0, 2, 0, 0, 0}

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

5433	{1⇿2,2⇿3,3⇿4,5⇿6,2⇿5,2⇿7}
2298	{1⇿2,2⇿3,3⇿4,5⇿6,2⇿5,1⇿7}
397	{1⇿2,2⇿3,3⇿4,5⇿6,2⇿5,2⇿7,1⇿7}
37	{1⇿2,2⇿3,3⇿4,5⇿6,2⇿4,2⇿5,2⇿7}
117	{1⇿2,2⇿3,3⇿4,5⇿6,1⇿4,2⇿5,1⇿7}
13	{1⇿2,2⇿3,3⇿4,5⇿6,1⇿3,2⇿5,1⇿7}
5	{1⇿2,2⇿3,3⇿4,5⇿6,1⇿4,2⇿5,2⇿7}
2	{1⇿2,2⇿3,3⇿4,5⇿6,1⇿3,2⇿5,1⇿5,2⇿7}
3	{1⇿2,2⇿3,3⇿4,5⇿6,2⇿4,2⇿5,1⇿7}
2	{1⇿2,2⇿3,3⇿4,5⇿6,1⇿3,2⇿5,2⇿7}
2	{1⇿2,2⇿3,3⇿4,5⇿6,2⇿4,2⇿5,2⇿7,1⇿7}
1	{1⇿2,2⇿3,3⇿4,5⇿6,1⇿3,2⇿5,1⇿6,2⇿7}
2	{1⇿2,2⇿3,3⇿4,5⇿6,1⇿3,2⇿5,2⇿7,1⇿7}

Created with Wolfram Mathematica 9.0