Structure Of Finite Sub-simple Groups

On the base of simple group, this paper defines the sub-simple group, which only includes a proper normal subgroup. By researching the structure of finite sub-simple group, I have gained these following results.Theoreml If G is a nilpotent sub-simple group, then G is a cyclic group, and|G|= p2 (p is a prime).Theorem2 If G is a unnilpotent but solvable sub-simple group, then |G|=pq, G=, a^q=1, b^p = a^r , b^-1ab = a^t, t^p =1(modq) , r(t-1) = 0(mod q)(p3 if | G/G' |= 2 holds.Theorem 5 A unsolvable finite sub-simple group G has no center, G is that a extension of a characteristic simple group G' which isn't Abel group by Z_p ifG=G' holds.