This study represents the problem of the invariant sub-groups of the maximal solvable invariant sub-groups in a group GL(q,p), with p and q are primes, q|(p-١), and its order is r with r/| (P − 1) , as the studying of its normalizer groups and identification the order of the normalizer for each one in the case r is an odd order, and also with studying the problem of its conjunction in a group GL(q,p).