Let us find the invariant factor form of the abelian group G = Z2 X Z4 X Z4 X Zg X Z3 X Z3 X Zg X Z5 X Z5 , which is in primary factor form. We make the following table: 4 4 N 8 9 3 1 5 5 For the group G, the invariant factors are d1 = d2 = d3 = d4 = and G is isomorphic with Zd, X Zd, X Zd3 X Zeds