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

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

1550	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿6,1⇿6}
5586	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿6}
2404	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿6}
7	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,3⇿6}
6	{1⇿2,2⇿3,3⇿4,4⇿5,3⇿6}

Created with Wolfram Mathematica 9.0