{3, 0, 2, 0, 0, 0, 0}

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

8918	{1⇿2,2⇿3,3⇿4,4⇿5}
971	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4}
7720	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿5}
593	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿5}
325	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿5}
6	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿4,2⇿5}
6	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿5,1⇿5}
136	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3}
7	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿4,1⇿5}
53	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,2⇿5}
27	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿5}
64	{1⇿2,2⇿3,3⇿4,4⇿5,3⇿5}
6	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿4}
1	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿4}

Created with Wolfram Mathematica 9.0