This diagram by Orson Hyde was published in the Millennial Star in 1847. It shows his vision (and that of many early Latter-day Saints) of the organization of the Kingdom of God. The text below is quoted from the accompanying editorial.
The above diagram shows the order and unity of the kingdom of God. The eternal Father sits at the head, crowned King of kings and Lord of lords. Wherever the other lines meet, there sits a king and a priest unto God, bearing rule, authority, and dominion under the Father. He is one with the Father, because his kingdom is joined to his Father's and becomes part of it.
The most eminent and distinguished prophets who have laid down their lives for their testimony (Jesus among the rest), will be crowned at the head of the largest kingdoms under the Father, and will be one with Christ as Christ is one with his Father; for their kingdoms are all joined together, and such as do the will of the Father, the same are his mothers, sisters, and brothers. He that has been faithful over a few things, will be made ruler over many things; he that has been faithful over ten talents, shall have dominion over ten cities, and he that has been faithful over five talents, shall have dominion over five cities, and to every man will be given a kingdom and a dominion, according to his merit, powers, and abilities to govern and control. It will be seen by the above diagram that there are kingdoms of all sizes, an infinite variety to suit all grades of merit and ability. The chosen vessels unto God are the kings and priests that are placed at the head of these kingdoms. These have received their washings and anointings in the temple of God on this earth; they have been chosen, ordained, and anointed kings and priests, to reign as such in the resurrection of the just. Such as have not received the fulness of the priesthood, (for the fulness of the priesthood includes the authority of both king and priest) and have not been anointed and ordained in the temple of the Most High, may obtain salvation in the celestial kingdom, but not a celestial crown. Many are called to enjoy a celestial glory, yet few are chosen to wear a celestial crown, or rather, to be rulers in the celestial kingdom.
While this portion of eternity that we now live in, called time, continues, and while the other portions of eternity that we may hereafter dwell in, continue, those lines in the foregoing diagram, representing kingdoms, will continue to extend and be lengthened out; and thus, the increase of our kingdoms will increase the kingdom of our God, even as Daniel hath said: “of the increase of his kingdom and government there shall be no end.” All these kingdoms are one kingdom, and there is a King over kings, and a Lord over lords. There are Lords many, and Gods many, for they are called Gods to whom the word of God comes, and the word of God comes to all these kings and priests. But to our branch of the kingdom there is but one God, to whom we all owe the most perfect submission and loyalty; yet our God is just as subject to still higher intelligences, as we should be to him.
...These kingdoms, which are one kingdom, are designed to extend till they not only embrace this world, but every other planet that rolls in the blue vault of heaven. Thus will all things be gathered in one during the dispensation of the fulness of times, and the Saints will not only possess the earth, but all things else, for, says Paul, “All things are yours, whether Paul, or Apollos, or Cephas, or the world, or life, or death, or things present, or things to come: all are yours, and ye are Christ's, and Christ is God's”
(Orson Hyde, “A Diagram of the Kingdom of God,” Millennial Star 9 [15 January 1847]: 23-24).
My source for this is the excellent Words of Joseph Smith: The Contemporary Accounts of the Nauvoo Discourses of the Prophet Joseph compiled and edited by Andrew F. Ehat and Lyndon W. Cook. In their footnote, they add this:
According to the teachings that the Prophet gave in private (but which he only hinted at in this discourse [13 August 1843]), to be heir to Abraham's promise that he would head an innumerable posterity, each individual and his children must be sealed for time and eternity. If this sealing was performed, he taught, the covenant relationship would then continue throughout eternity. The Prophet taught, moreover, that such a patriarchal priesthood of kings and priests would have to be established by sealing children and parents back through Abraham to Adam in order to fulfill the mission of Elijah (Malachi 4:5-6). When this was accomplished, the order within the highest degree of the Celestial Kingdom would then be eternally set. Probably no clearer statement of Joseph's theology regarding this concept can be found than what is given in an editorial by Orson Hyde. The following diagram began the editorial after which came the text.
Joseph Smith, The Words of Joseph Smith: The Contemporary Accounts of the Nauvoo Discourses of the Prophet Joseph, compiled and edited by Andrew F. Ehat and Lyndon W. Cook [Provo: BYU Religious Studies Center, 1980], 297.)