Ambiguous Class Fusions in the GAP Character Table Library

The Character Table of a Maximal Subgroup of the Monster

We calculate the character table of the maximal subgroup of the Monster N(3B) ∼= 3 + .2.Suz:2, and also of the group 31+12:6.Suz:2, which has the former as a quotient. The strategy is to induce characters from the inertia groups in 31+12:6.Suz:2 of characters of 3. We obtain the quotient map to N(3B) computationally, and our careful concrete approach allows us to produce class fusions between o...

Using Table Automorphisms for Constructing Character Tables in GAP

This note has three aims. First it shows how character table automorphisms can be utilized to construct certain character tables from others using the GAP system [GAP04]; the GAP functions used for that are part of the GAP Character Table Library [Bre04b]. Second it documents several constructions of character tables which are contained in the GAP Character Table Library. Third it serves as a t...

Constructing Character Tables of Central Extensions in GAP

This note has three aims. First it shows how the GAP system [GAP04] can be utilized to construct character tables of certain central extensions from known character tables; the GAP functions used for that are part of the GAP Character Table Library [Bre04]. Second it documents several constructions of character tables which are contained in the GAP Character Table Library. Third it serves as a ...

Constructing the Irreducible Characters of J4 with GAP

We assume that the “table head” of the ordinary character table of the sporadic simple Janko group J4 is known. That is, the conjugacy classes and their centralizer orders are known as well as all p-th power maps, for primes p up to the maximal element order in J4, which is 66. For the sake of simplicity, we take the table head of the character table contained in the GAP Character Table Library...

The GAP Character Table Library