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

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

167	{1⇿2,2⇿3,1⇿3,2⇿4,1⇿4}
1265	{1⇿2,2⇿3,2⇿4}
48	{1⇿2,2⇿3,3⇿4,2⇿4}
556	{1⇿2,2⇿3,1⇿3,2⇿4}
2	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿4}

Created with Wolfram Mathematica 9.0