{5, 1, 0, 0, 0, 0, 0}

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

14455	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿6}
1432	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿5,1⇿6}
861	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6}
228	{1⇿2,2⇿3,3⇿4,4⇿5,3⇿6}
541	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,1⇿6}
23	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿5,1⇿6}
17	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿6}
11	{1⇿2,2⇿3,3⇿4,4⇿5,4⇿6,1⇿5}
16	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿4,1⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,4⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,3⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,3⇿6,1⇿6}
1	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0