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

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

48906	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿4,1⇿6}
21029	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6}
429	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7}
2201	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6}
9225	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿6}
295	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,2⇿6}
602	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,1⇿6}
59	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,2⇿6}
72	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6}
79	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,2⇿6}
32	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,2⇿5,2⇿6}
25	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿5,1⇿6}
4	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿5,2⇿6}
16	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿5,1⇿6}
20	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿5,1⇿6}
23	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,2⇿5,2⇿6}
17	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿4,1⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿6}

Created with Wolfram Mathematica 9.0