"Much interest has been manifested in the Church concerning who was mouth in ordaining respectively the brethren of the first Twelve. Most likely the Three Witnesses who ordained the Apostles were mouth in the order in which they have always stood as Witnesses, viz., Oliver Cowdery first, David Whitmer second, and Martin Harris third. If they officiated in this order then Oliver Cowdery ordained Lyman E. Johnson; David Whitmer, Brigham Young; and Martin Harris, Heber C. Kimball. It has been suggested by some that the Prophet Joseph may have joined the Three Witnesses in ordaining the Twelve, and in that event would be mouth first, and therefore ordained Lyman E. Johnson, leaving Oliver Cowdery to ordain Brigham Young, David Whitmer, Heber C. Kimball. This, however, is not likely since but three of those who had been chosen were called up at the above meeting to be ordained, one for each Witness."
This is of course, symbolic of the Triad. Triangles of three wherein the force of the three wields through them. There would have been four triangles formed of 3 people, making up the 12 altogether in a molecular structure, and then the One(Joseph Smith) which would link up all those four triads, just like when Jesus was the Head of the Molecule of 12 (plus the 12 women), making the 24.
These four triads may have also been representing a particular ray soul group too.