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

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.

Keywords

• mathieu groups
• sporadic groups
• character table
• permutation group
• multiply transitive