Finite Group Databasebeta

← Group #13091537

Character table — Group #13091537

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size111222999999991818181818181818181818181818181818181818181818181818181818181818181818182727278181818181818181
order1333333333333333333333333333333333333333333333333326666666666
χ11111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ411111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-11−i321−i321−i321+i321+i321+i32
χ511111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ611111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-11+i321+i321+i321−i321−i321−i32
χ7111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ8111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32
χ9111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ10111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32
χ11111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ12111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3211111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-11−i321+i321+i32-11−i321−i321+i32-1
χ13111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ14111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32
χ15111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ16111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3211111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-11+i321−i321−i32-11+i321+i321−i32-1
χ17111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ18111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1+i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32
χ19222222222222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000
χ2022222222222222-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000000
χ2122222222222222-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-100000000000
χ2222222222222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1200000000000
χ2322222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32-1-1-12-1-1-12-1-1-1−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i3200000000000
χ2422222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-12-1-1-12-1-1-12-1-11−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i3200000000000
χ2522222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-12-1-1-12-1-1-12-11−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i3200000000000
χ2622222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-12-1-1-12-1-1-121−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i300000000000
χ2722222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32-1-1-12-1-1-12-1-1-1−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i3200000000000
χ2822222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-12-1-1-12-1-1-12-1-11+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i3200000000000
χ2922222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-12-1-1-12-1-1-12-11+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i3200000000000
χ3022222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-12-1-1-12-1-1-121+i321+i321+i32−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1+i300000000000
χ31222222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i3200000000000
χ32222222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i3200000000000
χ33222222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i3200000000000
χ34222222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i300000000000
χ35222222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i322-1-1-1−1−i31+i321+i321+i322-1-1-1−1+i31−i321−i321−i3200000000000
χ36222222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32-12-1-11+i32−1−i31+i321+i32-12-1-11−i32−1+i31−i321−i3200000000000
χ37222222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32-1-12-11+i321+i32−1−i31+i32-1-12-11−i321−i32−1+i31−i3200000000000
χ38222222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-1-121+i321+i321+i32−1−i3-1-1-121−i321−i321−i32−1+i300000000000
χ39222222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i322-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i31+i321+i321+i322-1-1-1−1+i31−i321−i321−i32−1+i31−i321−i321−i32−1−i31+i321+i321+i322-1-1-100000000000
χ40222222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-12-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i31+i321+i32-12-1-11−i32−1+i31−i321−i321−i32−1+i31−i321−i321+i32−1−i31+i321+i32-12-1-100000000000
χ41222222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-1-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i321+i321+i32−1−i31+i32-1-12-11−i321−i32−1+i31−i321−i321−i32−1+i31−i321+i321+i32−1−i31+i32-1-12-100000000000
χ42222222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32-1-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i31+i321+i321+i32−1−i3-1-1-121−i321−i321−i32−1+i31−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-1-1200000000000
χ43222222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i3200000000000
χ44222222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i3200000000000
χ45222222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i3200000000000
χ46222222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i300000000000
χ47222222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i322-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i31−i321−i321−i322-1-1-1−1−i31+i321+i321+i32−1−i31+i321+i321+i32−1+i31−i321−i321−i322-1-1-100000000000
χ48222222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i31−i321−i32-12-1-11+i32−1−i31+i321+i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32-12-1-100000000000
χ49222222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321−i321−i32−1+i31−i32-1-12-11+i321+i32−1−i31+i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-12-100000000000
χ50222222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i31−i321−i321−i32−1+i3-1-1-121+i321+i321+i32−1−i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-1-1200000000000
χ51222222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i31−i321−i321−i322-1-1-1−1+i31−i321−i321−i322-1-1-1−1−i31+i321+i321+i3200000000000
χ52222222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-12-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i321+i32−1−i31+i321+i321−i32−1+i31−i321−i32-12-1-11−i32−1+i31−i321−i32-12-1-11+i32−1−i31+i321+i3200000000000
χ53222222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-1-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i321+i321+i32−1−i31+i321−i321−i32−1+i31−i32-1-12-11−i321−i32−1+i31−i32-1-12-11+i321+i32−1−i31+i3200000000000
χ54222222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3-1-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i31+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-1-121−i321−i321−i32−1+i3-1-1-121+i321+i321+i32−1−i300000000000
χ559−9+9i32−9−9i329−9+9i32−9−9i32000000000000000000000000000000000000000000003−3+3i32−3−3i3200000000
χ569−9+9i32−9−9i329−9+9i32−9−9i3200000000000000000000000000000000000000000000-33−3i323+3i3200000000
χ579−9−9i32−9+9i329−9−9i32−9+9i32000000000000000000000000000000000000000000003−3−3i32−3+3i3200000000
χ589−9−9i32−9+9i329−9−9i32−9+9i3200000000000000000000000000000000000000000000-33+3i323−3i3200000000
χ59181818-9-9-90000000000000000000000000000000000000000000000000000000
χ6018−9+9i3−9−9i3-99−9i329+9i320000000000000000000000000000000000000000000000000000000
χ6118−9−9i3−9+9i3-99+9i329−9i320000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).