{6, 0, 0, 0, 0, 0, 0}

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

68059	{1⇿2,2⇿3,1⇿4,1⇿5,1⇿6}
29665	{1⇿2,2⇿3,3⇿4,1⇿5,1⇿6}
10248	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿6}
8438	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿6}
5893	{1⇿2,2⇿3,3⇿4,1⇿4,1⇿5,1⇿6}
6253	{1⇿2,2⇿3,3⇿4,3⇿5,2⇿6}
9160	{1⇿2,2⇿3,2⇿4,1⇿5,1⇿6}
1263	{1⇿2,2⇿3,2⇿4,2⇿5,1⇿6}
1019	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿5,1⇿6}
1763	{1⇿2,2⇿3,3⇿4,3⇿5,3⇿6}
878	{1⇿2,2⇿3,1⇿3,1⇿4,1⇿5,1⇿6}
336	{1⇿2,2⇿3,2⇿4,2⇿5,2⇿6}
1249	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿6}
251	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}
304	{1⇿2,1⇿3,1⇿4,1⇿5,1⇿6}
36	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,3⇿6,1⇿5}
97	{1⇿2,2⇿3,3⇿4,1⇿3,2⇿5,1⇿6}
8	{1⇿2,2⇿3,3⇿4,1⇿3,1⇿4,1⇿5,1⇿6}
7	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,1⇿5,1⇿6}
15	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,2⇿6}
26	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,1⇿6}
12	{1⇿2,2⇿3,3⇿4,3⇿5,1⇿4,3⇿6,1⇿5,1⇿6}
1	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,1⇿4,1⇿6}
9	{1⇿2,2⇿3,3⇿4,1⇿3,3⇿5,3⇿6}
3	{1⇿2,2⇿3,3⇿4,2⇿5,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0