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

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

314371	{1⇿2,2⇿3,1⇿4,1⇿5}
42030	{1⇿2,2⇿3,3⇿4,1⇿5}
14652	{1⇿2,2⇿3,1⇿3,1⇿4,1⇿5}
870	{1⇿2,2⇿3,3⇿4,2⇿5}
35483	{1⇿2,1⇿3,1⇿4,1⇿5}
12528	{1⇿2,2⇿3,2⇿4,1⇿5}
8923	{1⇿2,2⇿3,3⇿4,1⇿4,1⇿5}
1431	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿5}
1427	{1⇿2,2⇿3,3⇿4,3⇿5}
152	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4}
43	{1⇿2,2⇿3,2⇿4,2⇿5}
190	{1⇿2,2⇿3,3⇿4,2⇿4,1⇿5}
60	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5}
43	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿5}
33	{1⇿2,2⇿3,1⇿3,2⇿4,1⇿5}
47	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿4,1⇿5}
6	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5}
8	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿4,1⇿5}
2	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5}

Created with Wolfram Mathematica 9.0