LET G BE A FINITE GROUP AND P(G) BE THE SET OF PRIME DIVISORS OF THE ORDER OF G. FOR TÎP(G) DENOTE BY NT(G) THE ORDER OF A NORMALIZE OF T- SYLOW SUBGROUP OF G AND PUT N(G)={NT(G) | TÎP(G)}. IN THIS TALK, WE DISCUSS ABOUT AN ANSWER TO THE FOLLOWING PROBLEM FOR THE SIMPLE GROUPS OF LIE TYPE BN, CN: LET L BE A FINITE NON-ABELIAN SIMPLE GROUP AND G BE A FINITE GROUP WITH N(L)=N(G). IS IT TRUE THAT L@G?ALSO, WE DISCUSS ABOUT DIFFERENCE BETWEEN ORDERS OF THE SOLVABLE SUBGROUPS OF THE NON-ISOMORPHIC SIMPLE GROUPS BN(Q) AND CN(Q).