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

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

16622	{1⇿2,2⇿3,2⇿4,1⇿5}
71269	{1⇿2,2⇿3,1⇿4,1⇿5}
48677	{1⇿2,2⇿3,3⇿4,1⇿5}
7717	{1⇿2,2⇿3,3⇿4,3⇿5}
4922	{1⇿2,2⇿3,1⇿3,1⇿4,1⇿5}
10075	{1⇿2,1⇿3,1⇿4,1⇿5}
9670	{1⇿2,2⇿3,3⇿4,2⇿5}
8933	{1⇿2,2⇿3,3⇿4,1⇿4,1⇿5}
741	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4}
2061	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿5}
1156	{1⇿2,2⇿3,2⇿4,2⇿5}
214	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5}
137	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿5}
110	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5}
84	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿4,1⇿5}
59	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5}
16	{1⇿2,2⇿3,3⇿4,2⇿4,1⇿5}
2	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿4,1⇿5}

Created with Wolfram Mathematica 9.0