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

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

7773	{1⇿2,2⇿3,1⇿4}
2291	{1⇿2,2⇿3,1⇿3,1⇿4}
1270	{1⇿2,1⇿3,1⇿4}
744	{1⇿2,2⇿3,2⇿4}
472	{1⇿2,2⇿3,1⇿3,2⇿4,1⇿4}
727	{1⇿2,2⇿3,1⇿3,2⇿4}

Created with Wolfram Mathematica 9.0