Groups of Order 96

At this point, only the abelian groups of order 96 are listed. There are 224 nonabelian groups of order 96, so cataloging those will have to wait.

There are 17 values of n such that phi(n) = 96. For each such n, the multiplicative group of integers between 1 and n and relatively prime to n is isomorphic to one of the seven abelian groups of order 96. We indicate which one. To help determine this, we used Mathematica. A pdf of the Mathematica file is included. The actual Mathematica file is available upon request.

groups96.pdf
abelian-groups-96.pdf