# The character table of a sharply 5-transitive subgroup of the alternating group of degree 12

Document Type : Research Paper

Authors

Department of Mathematics, University of South Wales, Treforest, CF37 1DL, U. K.

Abstract

We calculate the character table of a sharply $5$-transitive subgroup of $\alter(12)$‎, ‎and of a sharply $4$-transitive subgroup of $\alter(11)$‎. ‎Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu groups‎, ‎and instead deduce the desired character tables using only the existence of the stated multiply transitive permutation representations‎.

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