Finite Group Databasebeta

← Group #579

Character table — Group #579

Order 64.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111111111111111111111111111111111111111111111111111111111111111
order1424242424242424242424242424242424242424242424242424242424242424
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
χ51111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61i-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
χ71-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-11
χ81−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
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ101i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i
χ111-11-11-11-1-11-11-11-111-11-11-11-1-11-11-11-111-11-11-11-1-11-11-11-111-11-11-11-1-11-11-11-11
χ121−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i
χ131111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ141i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i
χ151-11-1-11-11-11-111-11-11-11-1-11-11-11-111-11-11-11-1-11-11-11-111-11-11-11-1-11-11-11-111-11-1
χ161−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i
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
χ211111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ221i-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
χ231-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-11-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-1
χ241−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
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ261i-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−i1i1i-1−i1i-1−i
χ271-11-11-11-1-11-11-11-11-11-11-11-111-11-11-11-11-11-11-11-1-11-11-11-11-11-11-11-111-11-11-11-1
χ281−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−i1−i-1i1−i-1i
χ291111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ301i-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−i1i-1−i-1−i1i
χ311-11-1-11-11-11-111-11-1-11-111-11-11-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-11-11-1-11-11
χ321−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-1i1−i-1i-1i1−i
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
χ371111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ381i-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
χ391-11-1-11-111-11-1-11-111-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-1
χ401−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
χ4111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ421i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i
χ431-11-11-11-1-11-11-11-111-11-11-11-1-11-11-11-11-11-11-11-111-11-11-11-1-11-11-11-111-11-11-11-1
χ441−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i
χ451111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ461i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i
χ471-11-1-11-11-11-111-11-11-11-1-11-11-11-111-11-1-11-111-11-11-11-1-11-11-11-111-11-11-11-1-11-11
χ481−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i
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
χ531111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ541i-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
χ551-11-1-11-111-11-1-11-11-11-111-11-1-11-111-11-1-11-111-11-1-11-111-11-11-11-1-11-111-11-1-11-11
χ561−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
χ5711111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ581i-1−i1i-1−i-1−i1i-1−i1i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i
χ591-11-11-11-1-11-11-11-11-11-11-11-111-11-11-11-1-11-11-11-111-11-11-11-11-11-11-11-1-11-11-11-11
χ601−i-1i1−i-1i-1i1−i-1i1−i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i
χ611111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ621i-1−i-1−i1i-1−i1i1i-1−i-1−i1i1i-1−i1i-1−i-1−i1i-1−i1i1i-1−i1i-1−i-1−i1i1i-1−i-1−i1i-1−i1i1i-1−i
χ631-11-1-11-11-11-111-11-1-11-111-11-11-11-1-11-11-11-111-11-11-11-1-11-111-11-1-11-11-11-111-11-1
χ641−i-1i-1i1−i-1i1−i1−i-1i-1i1−i1−i-1i1−i-1i-1i1−i-1i1−i1−i-1i1−i-1i-1i1−i1−i-1i-1i1−i-1i1−i1−i-1i

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