Cue sports tables are usually heated to stave off moisture and provide a consistent playing surface. The length of the pool table will typically be a function of space, with many homeowners purchasing an table as a compromise. Full-size pool tables are 4.5 by (interior dimensions). High-quality tables have a made of thick slate, in three pieces to prevent warping and changes due to temperature and humidity. Smaller bar tables are most commonly made with a single piece of slate. Pocket billiards tables of all types normally have six pockets, three on each side (four corner pockets, and two side or middle
Character table of the group "G" can be deduced from its character table: The character table does not in general determine the group up to isomorphism: for example, the quaternion group "Q" and the dihedral group of 8 elements ("D") have the same character table. Brauer asked whether the character table, together with the knowledge of how the powers of elements of its conjugacy classes are distributed, determines a finite group up to isomorphism. In 1964, this was answered in the negative by E. C. Dade. The linear characters form a character group, which has important number theoretic connections. The outer automorphism