{2, 0, 4, 0, 0, 0, 0}

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

74	{1⇿2,2⇿3,3⇿4,3⇿5,2⇿6}
23	{1⇿2,2⇿3,3⇿4,3⇿5,3⇿6}
15	{1⇿2,2⇿3,2⇿4,2⇿5,2⇿6}
2	{1⇿2,2⇿3,3⇿4,2⇿5,2⇿6}

Created with Wolfram Mathematica 9.0