This book--a unique reference for all those who use point groups--presents tables much improved over those previously available. They are more extensive, providing 75 point groups and their double groups. And they are more precise and complete--all symmetry operations are uniquely parameterized and their multiplication tables (including the double groups) are given. Full matrix representations are provided and particular attention has been paid to keeping phase factors constant on subduction along group chains. A theoretical introduction contains an extensive list of the subject's important results, a very clear statement of all conventions required, and detailed instructions--with examples--showing how to use the tables. Solved problems appear throughout the book. Besides being an indispensable reference tool for anyone who uses point groups, this book is an ideal resource for students taking group theory, chemistry, and physics courses.