The smallest Fischer sporadic simple group F22has 14 maximal subgroups up to conjugacy as listed in [2] and [15]. The group 26:SP6(2) is a maximal subgroup ofF22of index 694980. We use the technique of the Fischer-Clifford matrices to constuct the character table of the group 26:SP6(2). The Fischer-Clifford matrices of 26:SP6(2) are used, together with the character tables ofSP6(2) and a maximal subgroup 25:S6SP6(2) of index 63, to construct the character table of 26:SP6(2).