THE FISCHER-CLIFFORD MATRICES OF THE GROUP 26: SP 6(2)

DOI10.1080/16073606.1999.9632080zbMath0944.20010OpenAlexW2032970834MaRDI QIDQ4949957

Zwelethemba Mpono, Jamshid Moori

Publication date: 7 May 2000

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/16073606.1999.9632080

zbMATH Keywords

maximal subgroupsClifford theorysplit extensionscharacter tablessimple group \(\text{Sp}(6,2)\)sporadic Fischer group \(\text{Fi}_{22}\)

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Simple groups: sporadic groups (20D08) Extensions, wreath products, and other compositions of groups (20E22) Representations of finite groups of Lie type (20C33)

Related Items (12)

Computing the conjugacy classes and character table of a non-split extension \(2^6\cdot (2^5 : S_6)\) from a split extension \(2^6 : (2^5 : S_6)\) ⋮ The Fischer-Clifford matrices of a maximal subgroup of 𝐹𝑖′₂₄ ⋮ Unnamed Item ⋮ THE CONJUGACY CLASSES OF A SUBGROUP $S_{n}^{m} : C_{m}$ OF S_mn, prime m ⋮ On a maximal subgroup \((2^9:(L_3(4)):3\) of the automorphism group \(U_6(2):3\) of \(U_6(2)\) ⋮ Fischer-Clifford matrices of \(2^8{:}(U_4(2){:}2)\) as a subgroup of \(O_{10}^+(2)\) ⋮ The projective character tables of a solvable group \(2^6:(6\times 2)\) ⋮ The character table of a group of shape (2×2.G):2 ⋮ On a group of the form 2¹⁴:Sp(6, 2) ⋮ Fischer-Clifford matrices of the generalized symmetric group - (a computational approach) ⋮ Fischer-Clifford matrices and character table of the maximal subgroup \((2^9 :(L_3(4)) : 2\) of \(U_6(2) : 2\) ⋮ On a two-fold cover 2.(2⁶˙G₂(2)) of a maximal subgroup of Rudvalis group Ru

Uses Software

• GAP

Cites Work

• On the characters of \(2^{n-\epsilon}\cdot S_ n\)
• Fischer matrices for wreath products \(G \wr S_ n\)
• On maximal subgroups of the Fischer group Fi₂₂
• On Certain Groups associated with the Smallest Fischer Group
• Unnamed Item
• Unnamed Item

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