The Fischer-Clifford matrices of a maximal subgroup of 𝐹𝑖′₂₄

DOI10.1090/S1088-4165-03-00175-4zbMath1065.20020MaRDI QIDQ4826791

Faryad Ali, Jamshid Moori

Publication date: 12 November 2004

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

conjugacy classesmaximal 3-local subgroupsFischer-Clifford matrices3-transposition groupsFischer group \(Fi_{24}'\)

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Simple groups: sporadic groups (20D08) Representations of sporadic groups (20C34)

Related Items (9)

Computing the conjugacy classes and character table of a non-split extension \(2^6\cdot (2^5 : S_6)\) from a split extension \(2^6 : (2^5 : S_6)\) ⋮ Unnamed Item ⋮ Computing the character table of a finite group. ⋮ Fischer-Clifford matrices of \(2^8{:}(U_4(2){:}2)\) as a subgroup of \(O_{10}^+(2)\) ⋮ The Fischer-Clifford Matrices and Character Table of a Maximal Subgroup of Fi₂₄ ⋮ The projective character tables of a solvable group \(2^6:(6\times 2)\) ⋮ The character table of an involution centralizer in the Dempwolff group 2^5·GL₅(2) ⋮ The Fischer–Clifford Matrices of a Maximal Subgroup of the Sporadic Simple Group of Held ⋮ On a two-fold cover 2.(2⁶˙G₂(2)) of a maximal subgroup of Rudvalis group Ru

Uses Software

• GAP
• Magma

Cites Work

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• A computer program for the calculation of a covering group of a finite group
• On the characters of \(2^{n-\epsilon}\cdot S_ n\)
• Fischer matrices for wreath products \(G \wr S_ n\)
• The number of conjugacy classes in a finite group
• The Local Subgroups of the Fischer Groups
• THE FISCHER-CLIFFORD MATRICES OF THE GROUP 2⁶: SP ₆(2)
• Group Characters and Normal Hall Subgroups

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