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

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

25	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿5,2⇿6}
1074	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6}
1456	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿4,1⇿6}
2197	{1⇿2,2⇿3,3⇿4,6⇿7,2⇿5,1⇿5,1⇿6}
104	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6}
287	{1⇿2,2⇿3,3⇿4,6⇿7,3⇿5,1⇿6}
231	{1⇿2,2⇿3,3⇿4,6⇿7,2⇿5,1⇿6}
275	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7}
71	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6}
253	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿6}
10	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,1⇿6}
28	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7,1⇿7}
13	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6,1⇿7}
11	{1⇿2,2⇿3,3⇿4,6⇿7,3⇿5,1⇿4,1⇿6}
4	{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⇿4,2⇿6}
2	{1⇿2,2⇿3,3⇿4,6⇿7,1⇿3,2⇿5,1⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7,1⇿6}

Created with Wolfram Mathematica 9.0