Fischer-Clifford matrices and character table of the maximal subgroup \((2^9 :(L_3(4)) : 2\) of \(U_6(2) : 2\)

DOI10.1155/2019/9382525zbMath1486.20009OpenAlexW2915151761MaRDI QIDQ2330295

Abraham Love Prins, Ramotjaki Lucky Monaledi

Publication date: 28 October 2019

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/9382525

zbMATH Keywords

automorphism groupFischer-Clifford theory

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Ordinary representations and characters (20C15) Automorphisms of abstract finite groups (20D45)

Related Items (3)

Computing the conjugacy classes and character table of a non-split extension \(2^6\cdot (2^5 : S_6)\) from a split extension \(2^6 : (2^5 : S_6)\) ⋮ On a maximal subgroup \((2^9:(L_3(4)):3\) of the automorphism group \(U_6(2):3\) of \(U_6(2)\) ⋮ The projective character tables of a solvable group \(2^6:(6\times 2)\)

Uses Software

• GAP
• Magma
• Cayley

Cites Work

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• 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 the maximal subgroup \(2^9{:}(L_3(4){:}S_3)\) of \(U_6(2){:}S_3\)
• An atlas of subgroup lattices of finite almost simple groups
• On the inertia groups of the maximal subgroup 2⁷:Sp₆(2) inAut(Fi₂₂)
• A survey on Clifford-Fischer theory
• On Certain Groups associated with the Smallest Fischer Group
• THE FISCHER-CLIFFORD MATRICES OF THE GROUP 2⁶: SP ₆(2)

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