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

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

11092	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿4,1⇿6}
2940	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿6}
12563	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿6}
1214	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,1⇿6}
342	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,1⇿6}
178	{1⇿2,2⇿3,3⇿4,4⇿5,5⇿6,6⇿7}
36	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,2⇿6}
15	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,2⇿6}
18	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿4,2⇿5,2⇿6}
16	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿6}
13	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,2⇿5,2⇿6}
10	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,1⇿5,1⇿6}
18	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿5,2⇿6}
2	{1⇿2,2⇿3,3⇿4,4⇿5,6⇿7,1⇿3,3⇿6}
5	{1⇿2,2⇿3,4⇿5,6⇿7,1⇿3,1⇿4,1⇿5,1⇿6}

Created with Wolfram Mathematica 9.0