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

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

47125	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿4,1⇿6}
2117	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6}
19255	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6}
9643	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿6}
324	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,2⇿6}
667	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,1⇿6}
521	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7}
42	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿5,1⇿6}
114	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,2⇿6}
84	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,2⇿6}
50	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6}
36	{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⇿7,2⇿4,1⇿6}
56	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,2⇿5,2⇿6}
36	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,2⇿5,2⇿6}
8	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿5,2⇿6}
9	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿5,1⇿6}
4	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,3⇿6}

Created with Wolfram Mathematica 9.0