P. Hall introduced the notion of isoclinism in order to classify groups of prime power order. The notion of isoclinism can be simulated for pairs (G;N) of groups, in which G is a group and N is a normal subgroup. This talk verifies the classification of some pairs of groups, when N is to be chosen a suitable subgroup. Then using this, we explain how this classification can be considered as the first step of screening for classification of some classes of groups.

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