The Higman-Sims group is the sporadic group HS
of order
The Higman-Sims group is 2-transitive, and has permutation representations of degree 100 and 176 (among others).
It is implemented in the Wolfram Language
as HigmanSimsGroupHS[].
See also
Sporadic Group
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References
Conway, J. H.; Curtis, R. T.; Norton, S. P.; Parker, R. A.; and Wilson, R. A. Atlas
of Finite Groups: Maximal Subgroups and Ordinary Characters for Simple Groups.
Oxford, England: Clarendon Press, 1985.Wilson, R. A. "ATLAS
of Finite Group Representation." http://brauer.maths.qmul.ac.uk/Atlas/v3/spor/HS.
Cite this as:
Weisstein, Eric W. "Higman-Sims Group."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Higman-SimsGroup.html
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