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  • https://math.libretexts.org/Bookshelves/Abstract_and_Geometric_Algebra/Applied_Geometric_Algebra_(Tisza)/01%3A_Algebraic_Preliminaries/1.01%3A_Groups
    For an arbitrary element A of a finite G form the sequence: A,A2,A3, let the numbers of distinct elements in the sequence be p. Thus we got the important result that t...For an arbitrary element A of a finite G form the sequence: A,A2,A3, let the numbers of distinct elements in the sequence be p. Thus we got the important result that the order of a subgroup is a divisor of the order of the group. the three mirror planes of the regular triangle are in the same class and so are the four rotations by 2π/3 in a tetrahedron, or the eight rotations by ±2π/3 in a cube.

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