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

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

4047	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿4,1⇿6}
2135	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6}
58	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6}
70	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿6}
12	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿5,2⇿6}
82	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,2⇿6}
10	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿6}
10	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,1⇿6}
2	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0