Construction of the fourfold cover of the Mathieu group \(M_{22}\). (English) Zbl 0805.20014

Summary: We give an explicit construction for the two faithful, irreducible, 16- dimensional representations of \(4 \cdot M_{22}\) over the field \(\text{GF}(49)\). Then we extend them to the 32-dimensional representation of \(4 \cdot M_{22} : 2\) over \(\text{GF}(7)\). Explicit matrices are given.


20C34 Representations of sporadic groups


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