Abstract
The conjugacy classes of elements and the faithful irreducible characters of the covering group H of the Higman-Sims group are determined. The faithful irreducible characters of the 2-fold proper covering of the Mathieu group M 22 are also determined. Notable among the faithful irreducible characters of H is a character of degree 56 afforded by a rational representation. This is the faithful character of least degree and also the only faithful irreducible character of H afforded by a real representation.
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