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

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

3001	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿6}
67	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿5,2⇿6}
318	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿5,2⇿6}
53	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿6,1⇿6}
94	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿6}
34	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,2⇿5,2⇿6}
102	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,2⇿6}
8	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿5,2⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6,2⇿5}

Created with Wolfram Mathematica 9.0