Finite Group Databasebeta

← Group #13091479

Character table — Group #13091479

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1112226666666666669999999918181818181818181818181818181818181818181818181818181818181818182727278181818181818181
order133333333999999999339999993399999999999999999999999999999926666181818181818
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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
χ411111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+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
χ511111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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
χ611111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−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
χ7111111111111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ8111111111111111111−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321+i32-11−i321+i32-11−i321+i32
χ9111111111111111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ10111111111111111111−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32-1-1-11−i321+i321−i321+i32-11+i32-11−i32
χ11111111111111111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ12111111111111111111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-1-1-11−i321+i321+i32-11−i321−i321+i32-1
χ13111111111111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ14111111111111111111−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321−i32-11+i321−i32-11+i321−i32
χ15111111111111111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ16111111111111111111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-1-1-11+i321−i321−i32-11+i321+i321−i32-1
χ17111111111111111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ18111111111111111111−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32-1-1-11+i321−i321+i321−i32-11−i32-11+i32
χ19222222222-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ20222222222-1-1-1-1-1-1-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i3200000000000
χ21222222222-1-1-1-1-1-1-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i3200000000000
χ22222222222-1-1-1-1-1-1-1-1-1−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i3200000000000
χ23222222222-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i3−1+i3−1−i32−1−i32−1+i31−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i32-1-1-11−i321−i321−i3200000000000
χ24222222222-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1−i32−1+i3−1+i3−1−i32−1+i3−1−i3−1−i32−1+i3−1+i3−1−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i32-1-1-100000000000
χ25222222222-1-1-1-1-1-1-1-1-1−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i3200000000000
χ26222222222-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1+i32−1−i3−1−i3−1+i32−1−i3−1+i3−1+i32−1−i3−1−i3−1+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i32-1-1-100000000000
χ27222222222-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i3−1−i3−1+i32−1+i32−1−i31+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i32-1-1-11+i321+i321+i3200000000000
χ28222222-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-100000000000
χ29222222-1-1-1222-1-1-1-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i322-1-12-1-1−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i3200000000000
χ30222222-1-1-1222-1-1-1-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i322-1-12-1-1−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i3200000000000
χ31222222-1-1-1222-1-1-1-1-1-1−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31−i321+i32-11−i321+i32-11−i321+i32−1+i31−i321−i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i3200000000000
χ32222222-1-1-1222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i32−1−i32−1+i31−i321+i321−i321+i32-11+i32-11−i32−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i322-1-1−1−i31+i321+i322-1-1−1+i31−i321−i3200000000000
χ33222222-1-1-1222-1-1-1-1-1-1−1+i3−1−i3−1−i32−1+i3−1+i3−1−i321−i321+i321+i32-11−i321−i321+i32-1−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i322-1-100000000000
χ34222222-1-1-1222-1-1-1-1-1-1−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i321−i32-11+i321−i32-11+i321−i32−1−i31+i321+i32−1+i31−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i3200000000000
χ35222222-1-1-1222-1-1-1-1-1-1−1−i3−1+i3−1+i32−1−i3−1−i3−1+i321+i321−i321−i32-11+i321+i321−i32-1−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i322-1-1−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i322-1-100000000000
χ36222222-1-1-1222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i32−1+i32−1−i31+i321−i321+i321−i32-11−i32-11+i32−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i322-1-1−1+i31−i321−i322-1-1−1−i31+i321+i3200000000000
χ37222222-1-1-1-1-1-1222-1-1-122222222-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-100000000000
χ38222222-1-1-1-1-1-1222-1-1-122−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i32-12-1-12-11−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i3200000000000
χ39222222-1-1-1-1-1-1222-1-1-122−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i32-12-1-12-11+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i3200000000000
χ40222222-1-1-1-1-1-1222-1-1-1−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31−i321+i32-11−i321+i32-11−i321+i321−i32−1+i31−i321+i32−1−i31+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-12-11−i32−1+i31−i321+i32−1−i31+i3200000000000
χ41222222-1-1-1-1-1-1222-1-1-1−1+i3−1−i3−1+i3−1−i32−1−i32−1+i31−i321+i321−i321+i32-11+i32-11−i321−i32−1+i31−i321+i32−1−i31+i321−i32−1+i31−i321+i32−1−i31+i32-12-11+i32−1−i31+i32-12-11−i32−1+i31−i3200000000000
χ42222222-1-1-1-1-1-1222-1-1-1−1+i3−1−i3−1−i32−1+i3−1+i3−1−i321−i321+i321+i32-11−i321−i321+i32-11−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i32-12-11−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i32-12-100000000000
χ43222222-1-1-1-1-1-1222-1-1-1−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i321−i32-11+i321−i32-11+i321−i321+i32−1−i31+i321−i32−1+i31−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-12-11+i32−1−i31+i321−i32−1+i31−i3200000000000
χ44222222-1-1-1-1-1-1222-1-1-1−1−i3−1+i3−1+i32−1−i3−1−i3−1+i321+i321−i321−i32-11+i321+i321−i32-11+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i32-12-11+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i32-12-100000000000
χ45222222-1-1-1-1-1-1222-1-1-1−1−i3−1+i3−1−i3−1+i32−1+i32−1−i31+i321−i321+i321−i32-11−i32-11+i321+i32−1−i31+i321−i32−1+i31−i321+i32−1−i31+i321−i32−1+i31−i32-12-11−i32−1+i31−i32-12-11+i32−1−i31+i3200000000000
χ46222222-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1200000000000
χ47222222-1-1-1-1-1-1-1-1-122222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-11−i321−i321−i321+i321+i321+i32-1-12-1-121−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i300000000000
χ48222222-1-1-1-1-1-1-1-1-122222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-11+i321+i321+i321−i321−i321−i32-1-12-1-121+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i300000000000
χ49222222-1-1-1-1-1-1-1-1-1222−1+i3−1−i32−1+i3−1−i32−1+i3−1−i31−i321+i32-11−i321+i32-11−i321+i321−i321−i32−1+i31+i321+i32−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i300000000000
χ50222222-1-1-1-1-1-1-1-1-1222−1+i3−1−i3−1+i3−1−i32−1−i32−1+i31−i321+i321−i321+i32-11+i32-11−i321−i321−i32−1+i31+i321+i32−1−i31−i321−i32−1+i31+i321+i32−1−i3-1-121+i321+i32−1−i3-1-121−i321−i32−1+i300000000000
χ51222222-1-1-1-1-1-1-1-1-1222−1+i3−1−i3−1−i32−1+i3−1+i3−1−i321−i321+i321+i32-11−i321−i321+i32-11−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i3-1-121−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i3-1-1200000000000
χ52222222-1-1-1-1-1-1-1-1-1222−1−i3−1+i32−1−i3−1+i32−1−i3−1+i31+i321−i32-11+i321−i32-11+i321−i321+i321+i32−1−i31−i321−i32−1+i3-1-121+i321+i32−1−i31−i321−i32−1+i3-1-121+i321+i32−1−i31−i321−i32−1+i300000000000
χ53222222-1-1-1-1-1-1-1-1-1222−1−i3−1+i3−1+i32−1−i3−1−i3−1+i321+i321−i321−i32-11+i321+i321−i32-11+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i3-1-121+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i3-1-1200000000000
χ54222222-1-1-1-1-1-1-1-1-1222−1−i3−1+i3−1−i3−1+i32−1+i32−1−i31+i321−i321+i321−i32-11−i32-11+i321+i321+i32−1−i31−i321−i32−1+i31+i321+i32−1−i31−i321−i32−1+i3-1-121−i321−i32−1+i3-1-121+i321+i32−1−i300000000000
χ553−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i3200000000000000000000000000000000000000003−3+3i32−3−3i3200000000
χ563−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000000000000000000000000000000000000000-33−3i323+3i3200000000
χ573−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i3200000000000000000000000000000000000000003−3−3i32−3+3i3200000000
χ583−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000000000000000000000000000000000000000-33+3i323−3i3200000000
χ596−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000000000000000000000
χ606−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000000000000000000000
χ616−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i3-33−3i323+3i32000000000000000000000000000000000000000000000000000
χ626−3+3i3−3−3i36−3+3i3−3−3i3-33−3i323+3i32-33−3i323+3i32-33−3i323+3i326−3+3i3−3−3i3000000000000000000000000000000000000000000000000000
χ636−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000000000000000000000000000000000000000000000000
χ646−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32000000000000000000000000000000000000000000000000000
χ656−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i3-33+3i323−3i32000000000000000000000000000000000000000000000000000
χ666−3−3i3−3+3i36−3−3i3−3+3i3-33+3i323−3i32-33+3i323−3i32-33+3i323−3i326−3−3i3−3+3i3000000000000000000000000000000000000000000000000000
χ67181818-9-9-9000000000000000000000000000000000000000000000000000000000000000
χ6818−9+9i3−9−9i3-99−9i329+9i32000000000000000000000000000000000000000000000000000000000000000
χ6918−9−9i3−9+9i3-99+9i329−9i32000000000000000000000000000000000000000000000000000000000000000

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