There are a number of ways of classifying the different types of genetic mutations, such as the effect on fitness, and the effect on the DNA sequence - i.e. a point mutation is a single base substitution.
The classification of mutations based on their behaviour was created by Hermann J Muller (1890-1967). His classification scheme for genetic mutations consists of the following terms; amorph, antimorph, hypermorph, hypomorph, and neomorph.