{4, 1, 0, 0, 0, 0, 1}

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

3084	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿6}
10631	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿6}
1083	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿6,1⇿6}

Created with Wolfram Mathematica 9.0