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O_h is the point group of symmetries of the octahedron having order 48 that includes inversion. It is also the symmetry group of the cube, cuboctahedron, and truncated ...

The product C of two matrices A and B is defined as c_(ik)=a_(ij)b_(jk), (1) where j is summed over for all possible values of i and k and the notation above uses the ...

The double covering group of the (linear) symplectic group.

The dihedral group D_3 is a particular instance of one of the two distinct abstract groups of group order 6. Unlike the cyclic group C_6 (which is Abelian), D_3 is ...

The set of all nonsingular affine transformations of a translation in space constitutes a group known as the affine group. The affine group contains the full linear group and ...

A continuous group G which has the topology of a T2-space is a topological group. The simplest example is the group of real numbers under addition. The homeomorphism group of ...

The group of rotations and translations.

An element of order 2 in a group (i.e., an element A of a group such that A^2=I, where I is the identity element).

The Tits group is a group of order 17971200. It is implemented in the Wolfram Language as TitsGroupT[].

The image of A_5×A_5 in the special orthogonal group SO(4), where A_5 is the icosahedral group.