Finite Group Databasebeta

← Group #511

Character table — Group #511

Order 64.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111111111111111111111111111111111111111111111111111111111111
order1424444424244444242444442424444424244444242444442424444424244444
χ11111111111111111111111111111111111111111111111111111111111111111
χ21i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i
χ31-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1
χ41−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i
χ51111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i
χ61i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-1
χ71-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii
χ81−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i1
χ91111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i
χ111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-11
χ121−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i
χ131111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii
χ141i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i1
χ151-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i
χ161−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-1
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ181i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i-1−i1i-1−i1i1i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i-1−i1i-1−i1i
χ191-11-11-11-11-11-11-11-1-11-11-11-11-11-11-11-111-11-11-11-11-11-11-11-1-11-11-11-11-11-11-11-11
χ201−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i-1i1−i-1i1−i1−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i-1i1−i-1i1−i
χ211111iiii-1-1-1-1−i−i−i−i-1-1-1-1−i−i−i−i1111iiii1111iiii-1-1-1-1−i−i−i−i-1-1-1-1−i−i−i−i1111iiii
χ221i-1−ii-1−i1-1−i1i−i1i-1-1−i1i−i1i-11i-1−ii-1−i11i-1−ii-1−i1-1−i1i−i1i-1-1−i1i−i1i-11i-1−ii-1−i1
χ231-11-1i−ii−i-11-11−ii−ii-11-11−ii−ii1-11-1i−ii−i1-11-1i−ii−i-11-11−ii−ii-11-11−ii−ii1-11-1i−ii−i
χ241−i-1ii1−i-1-1i1−i−i-1i1-1i1−i−i-1i11−i-1ii1−i-11−i-1ii1−i-1-1i1−i−i-1i1-1i1−i−i-1i11−i-1ii1−i-1
χ251111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ261i-1−i-1−i1i1i-1−i-1−i1i-1−i1i1i-1−i-1−i1i1i-1−i1i-1−i-1−i1i1i-1−i-1−i1i-1−i1i1i-1−i-1−i1i1i-1−i
χ271-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-11-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-1
χ281−i-1i-1i1−i1−i-1i-1i1−i-1i1−i1−i-1i-1i1−i1−i-1i1−i-1i-1i1−i1−i-1i-1i1−i-1i1−i1−i-1i-1i1−i1−i-1i
χ291111−i−i−i−i-1-1-1-1iiii-1-1-1-1iiii1111−i−i−i−i1111−i−i−i−i-1-1-1-1iiii-1-1-1-1iiii1111−i−i−i−i
χ301i-1−i−i1i-1-1−i1ii-1−i1-1−i1ii-1−i11i-1−i−i1i-11i-1−i−i1i-1-1−i1ii-1−i1-1−i1ii-1−i11i-1−i−i1i-1
χ311-11-1−ii−ii-11-11i−ii−i-11-11i−ii−i1-11-1−ii−ii1-11-1−ii−ii-11-11i−ii−i-11-11i−ii−i1-11-1−ii−ii
χ321−i-1i−i-1i1-1i1−ii1−i-1-1i1−ii1−i-11−i-1i−i-1i11−i-1i−i-1i1-1i1−ii1−i-1-1i1−ii1−i-11−i-1i−i-1i1
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ341i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i
χ351-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-1-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11
χ361−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i
χ371111iiii-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii
χ381i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i1
χ391-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i
χ401−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-1
χ411111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ421i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i
χ431-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1
χ441−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i
χ451111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i
χ461i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-1
χ471-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii
χ481−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i1
χ491111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ501i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i1i-1−i1i-1−i1i-1−i1i-1−i
χ511-11-11-11-11-11-11-11-1-11-11-11-11-11-11-11-11-11-11-11-11-11-11-11-111-11-11-11-11-11-11-11-1
χ521−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i1−i-1i1−i-1i1−i-1i1−i-1i
χ531111iiii-1-1-1-1−i−i−i−i-1-1-1-1−i−i−i−i1111iiii-1-1-1-1−i−i−i−i1111iiii1111iiii-1-1-1-1−i−i−i−i
χ541i-1−ii-1−i1-1−i1i−i1i-1-1−i1i−i1i-11i-1−ii-1−i1-1−i1i−i1i-11i-1−ii-1−i11i-1−ii-1−i1-1−i1i−i1i-1
χ551-11-1i−ii−i-11-11−ii−ii-11-11−ii−ii1-11-1i−ii−i-11-11−ii−ii1-11-1i−ii−i1-11-1i−ii−i-11-11−ii−ii
χ561−i-1ii1−i-1-1i1−i−i-1i1-1i1−i−i-1i11−i-1ii1−i-1-1i1−i−i-1i11−i-1ii1−i-11−i-1ii1−i-1-1i1−i−i-1i1
χ571111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ581i-1−i-1−i1i1i-1−i-1−i1i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i-1−i1i1i-1−i1i-1−i-1−i1i1i-1−i-1−i1i
χ591-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-11-11-1-11-111-11-1-11-11
χ601−i-1i-1i1−i1−i-1i-1i1−i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i-1i1−i1−i-1i1−i-1i-1i1−i1−i-1i-1i1−i
χ611111−i−i−i−i-1-1-1-1iiii-1-1-1-1iiii1111−i−i−i−i-1-1-1-1iiii1111−i−i−i−i1111−i−i−i−i-1-1-1-1iiii
χ621i-1−i−i1i-1-1−i1ii-1−i1-1−i1ii-1−i11i-1−i−i1i-1-1−i1ii-1−i11i-1−i−i1i-11i-1−i−i1i-1-1−i1ii-1−i1
χ631-11-1−ii−ii-11-11i−ii−i-11-11i−ii−i1-11-1−ii−ii-11-11i−ii−i1-11-1−ii−ii1-11-1−ii−ii-11-11i−ii−i
χ641−i-1i−i-1i1-1i1−ii1−i-1-1i1−ii1−i-11−i-1i−i-1i1-1i1−ii1−i-11−i-1i−i-1i11−i-1i−i-1i1-1i1−ii1−i-1

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