On the Fischer matrices of a group of shape 21+2n + :G

In this paper, the Fischer matrices of maximal subgroup G = 21+8+ : (U4(2):2) U6(2):2 will be derived from quotient group Q G/Z(21+8+) 28 (U4(2):2), where Z(21+8+) denotes center extra-special 2-group 21+8+. Using approach, and associated ordinary character table are computed in an elegantly simple manner. This approach can used to compute any split extension form 21+2n+ :G, n ∈ N, provided irreducible characters extend its inertia subgroups 21+2n+:G also that M(gi) :G/Z(21+2n+) 22n:G known for each class representative gi G.