{2, 0, 1, 1, 0, 0, 0}

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

6705	{1⇿2,2⇿3,2⇿4}
1962	{1⇿2,2⇿3,1⇿3,2⇿4}
196	{1⇿2,2⇿3,1⇿3,2⇿4,1⇿4}
2	{1⇿2,2⇿3,3⇿4,2⇿4}

Created with Wolfram Mathematica 9.0