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

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

1067	{1⇿2,2⇿3,3⇿4,6⇿7,2⇿5,1⇿6}
887	{1⇿2,2⇿3,3⇿4,6⇿7,3⇿5,1⇿6}
24	{1⇿2,2⇿3,3⇿4,6⇿7,3⇿5,1⇿4,1⇿6}
1	{1⇿2,2⇿3,3⇿4,6⇿7,1⇿3,2⇿5,1⇿6}

Created with Wolfram Mathematica 9.0