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

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

12369	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿5}
45749	{1⇿2,2⇿3,3⇿4,4⇿5}
5024	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4}
2980	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3}
775	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿5}
571	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿5}
254	{1⇿2,2⇿3,3⇿4,4⇿5,3⇿5}
77	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿4}
141	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿5}
10	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿5,1⇿5}
117	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿4}
78	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿4,2⇿5}
13	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿4,1⇿5}
13	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿4,1⇿5}
23	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,1⇿4,2⇿5}
16	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿4,3⇿5}
4	{1⇿2,2⇿3,3⇿4,4⇿5,1⇿3,2⇿4}
1	{1⇿2,2⇿3,3⇿4,4⇿5,2⇿4,1⇿4}

Created with Wolfram Mathematica 9.0