The structure of one type of non-abelian group

By the property of the solvable group and the extending theorem of group, the authors acquired the structure of one type of Non-Abelian group. And we proved that when order is 10p ⁿ (p#2,5) and the sylowp-subgroup is cyclic, the group has twenty types. Whenp#3, it has 12 types and whenp=3, it has 8 types. Foundation item: Supported by the Natural Science Foundation of Hubei Province (No. 99J165) Biography: Huang Ben-wen (1948-), male, Professor, research direction: theory of groups.