Spin Characters' Decomposition Matrix, S24 modulo, p=7

In this work, we compute decomposition matrix for the spin characters , connected between irreducible spin characters and irreducible modular spin characters, when the field characteristic equal to 7. The method used in this work is -inducing in a way to generate projective character for by projective character of and used maple program to see all the possible of columns and then choose the possible the right columns of them. The aim of this research is to pave the way for finding general relationships and theorems to study irreducible modular spin characters.