The objective of this paper is to obtain the character table of SZ, the simple group of order 213 . 3’ . 52 * 7 . 11 . 13 discovered by M. Suzuki [3, p. 1131. The character table of G,(4), the Chevalley group of type (Gz) over the Galois field GF(4) of four elements, will also be obtained. The simple group G,(4) of order 212 . 33 * 52 . 7 . 13 was originally discovered by L. E. Dickson [6, 71 and reappeared among the groups discovered by Chevalley [4] in 1955. A complete description of the Chevalley groups of type (G,) can be found in [20]. It has been shown by Suzuki and separately by Wales [24] that the HallJanko simple group HJ of order 2’ . 33 . 52 . 7 is a subgroup of G,(4). In building the character table of G,(4) use will be made of the character table of HJ built by Wales and Hall [14] with the aid of computer, and their notation will be adhered to. In [3, p. 1131, Suzuki defined SZ as a primitive transitive extension of degree 1782 of G,(4). Throughout this paper HlK will denote an extension of a group H by a group K, C,, the cyclic group of order n and W, the elementary abelian group of order n. Finally, if k, , K, , k, are three elements of SZ, then c(K, , K, , K3) is defined to be the number of solutions (x, y) in 5’2 of the equation x . y = k3 with x N k, in SZ and y N k, in SZ.