Determination Of The Number Of Non-abelian Isomorphic Types Of Certain Finite Groups

Abstract The first part of this work established, with examples, the fact that there are more than one non-abelian isomorphic types of groups of order n = sp, (s,p) = 1, where s1 was worked out and such groups have no non-abelian isomorphic types. This gave credence to the fact that a group of order 15 and its like do not have a non-abelian isomorphic type. It also generated the non-abelian isomorphic types of groups of order n = spq, where s, p and q are distinct primes considering the congruence relationships between the primes. It was seen that there are more nonabelian isomorphic types wh…