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

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

1435	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}
174	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
47	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
12	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,2⇿6}

Created with Wolfram Mathematica 9.0