Decomposition numbers of non-principal blocks of J4 for characteristic 3

In this paper, the decomposition numbers of the non-principal blocks of the largest Janko group J4 [Z. Janko, A new finite simple group of order 86,775,571,046,077,562,880 which possesses M24 and the full covering group of M22 as subgroups, J. Algebra 42 (1976) 564-596] for characteristic 3 are determined up to some unknown parameters. We are also concerned with the decomposition numbers of maximal 2-local subgroups of J4 in odd characteristics.