{5, 1, 1, 0, 0, 0, 0}

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

8352	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6}
8292	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿4,1⇿6}
2617	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿6}
827	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6}
45	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,2⇿6}
185	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7}
265	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,1⇿6}
20	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,2⇿5,2⇿6}
25	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,2⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,3⇿6}
30	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,2⇿5,2⇿6}
6	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿5,1⇿6}
21	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,2⇿6}
4	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿5,1⇿6}
5	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6}

Created with Wolfram Mathematica 9.0