Finite Group Databasebeta

← Group #6372012

Character table — Group #6372012

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176
size11111111222222222222222222222222222288888888111111112222222222222222222222222222888888881111111122222222222222222222222222228888888811111111222222222222222222222222222288888888
order12224444224444444444888888888888888822448888222244442244444444448888888888888888224488882222444422444444444488888888888888882244888822224444224444444444888888888888888822448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ511111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-1-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-11-1-1-111
χ611111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1111-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1111-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1111-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1111-1-1
χ711111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ811111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ91111-1-1-1-1-1-11iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-111-1-1i−ii−i1111-1-1-1-1-1-11iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-111-1-1i−ii−i1111-1-1-1-1-1-11iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-111-1-1i−ii−i1111-1-1-1-1-1-11iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-111-1-1i−ii−i
χ101111-1-1-1-1-1-11iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-1-1-111−ii−ii1111-1-1-1-1-1-11iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-1-1-111−ii−ii1111-1-1-1-1-1-11iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-1-1-111−ii−ii1111-1-1-1-1-1-11iiii−i−i−i−i1iiii−i−i−i−i1111-1-1-1-1-1-111−ii−ii
χ111111-1-1-1-1-1-11iiii−i−i−i−i1−i−i−i−iiiii-1-1-1-111111-1-11i−i−ii1111-1-1-1-1-1-11iiii−i−i−i−i1−i−i−i−iiiii-1-1-1-111111-1-11i−i−ii1111-1-1-1-1-1-11iiii−i−i−i−i1−i−i−i−iiiii-1-1-1-111111-1-11i−i−ii1111-1-1-1-1-1-11iiii−i−i−i−i1−i−i−i−iiiii-1-1-1-111111-1-11i−i−ii
χ121111-1-1-1-1-1-11iiii−i−i−i−i1−i−i−i−iiiii-1-1-1-11111-111-1−iii−i1111-1-1-1-1-1-11iiii−i−i−i−i1−i−i−i−iiiii-1-1-1-11111-111-1−iii−i1111-1-1-1-1-1-11iiii−i−i−i−i1−i−i−i−iiiii-1-1-1-11111-111-1−iii−i1111-1-1-1-1-1-11iiii−i−i−i−i1−i−i−i−iiiii-1-1-1-11111-111-1−iii−i
χ131111-1-1-1-1-1-11−i−i−i−iiiii1iiii−i−i−i−i-1-1-1-111111-1-11−iii−i1111-1-1-1-1-1-11−i−i−i−iiiii1iiii−i−i−i−i-1-1-1-111111-1-11−iii−i1111-1-1-1-1-1-11−i−i−i−iiiii1iiii−i−i−i−i-1-1-1-111111-1-11−iii−i1111-1-1-1-1-1-11−i−i−i−iiiii1iiii−i−i−i−i-1-1-1-111111-1-11−iii−i
χ141111-1-1-1-1-1-11−i−i−i−iiiii1iiii−i−i−i−i-1-1-1-11111-111-1i−i−ii1111-1-1-1-1-1-11−i−i−i−iiiii1iiii−i−i−i−i-1-1-1-11111-111-1i−i−ii1111-1-1-1-1-1-11−i−i−i−iiiii1iiii−i−i−i−i-1-1-1-11111-111-1i−i−ii1111-1-1-1-1-1-11−i−i−i−iiiii1iiii−i−i−i−i-1-1-1-11111-111-1i−i−ii
χ151111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-111-1-1−ii−ii1111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-111-1-1−ii−ii1111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-111-1-1−ii−ii1111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-111-1-1−ii−ii
χ161111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-1-1-111i−ii−i1111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-1-1-111i−ii−i1111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-1-1-111i−ii−i1111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-1-1-111i−ii−i
χ1722222222-2-2-200000000-222-2-222-2-2000000000000000022222222-2-2-200000000-222-2-222-2-2000000000000000022222222-2-2-200000000-222-2-222-2-2000000000000000022222222-2-2-200000000-222-2-222-2-20000000000000000
χ1822222222-2-2-200000000-2-2-222-2-222000000000000000022222222-2-2-200000000-2-2-222-2-222000000000000000022222222-2-2-200000000-2-2-222-2-222000000000000000022222222-2-2-200000000-2-2-222-2-2220000000000000000
χ192222-2-2-2-222-200000000-22i2i−2i−2i−2i−2i2i2i00000000000000002222-2-2-2-222-200000000-22i2i−2i−2i−2i−2i2i2i00000000000000002222-2-2-2-222-200000000-22i2i−2i−2i−2i−2i2i2i00000000000000002222-2-2-2-222-200000000-22i2i−2i−2i−2i−2i2i2i0000000000000000
χ202222-2-2-2-222-200000000-2−2i−2i2i2i2i2i−2i−2i00000000000000002222-2-2-2-222-200000000-2−2i−2i2i2i2i2i−2i−2i00000000000000002222-2-2-2-222-200000000-2−2i−2i2i2i2i2i−2i−2i00000000000000002222-2-2-2-222-200000000-2−2i−2i2i2i2i2i−2i−2i0000000000000000
χ2122-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002ζ−2ζ002ζ3−2ζ322−2−2i2i2−i2−i20000000022-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002ζ−2ζ002ζ3−2ζ322−2−2i2i2−i2−i20000000022-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002ζ−2ζ002ζ3−2ζ322−2−2i2i2−i2−i20000000022-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002ζ−2ζ002ζ3−2ζ322−2−2i2i2−i2−i200000000
χ2222-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2ζ2ζ00−2ζ32ζ3−2−222−i2−i2i2i20000000022-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2ζ2ζ00−2ζ32ζ3−2−222−i2−i2i2i20000000022-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2ζ2ζ00−2ζ32ζ3−2−222−i2−i2i2i20000000022-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2ζ2ζ00−2ζ32ζ3−2−222−i2−i2i2i200000000
χ2322-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002ζ−2ζ002ζ3−2ζ3−2−222−i2−i2i2i20000000022-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002ζ−2ζ002ζ3−2ζ3−2−222−i2−i2i2i20000000022-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002ζ−2ζ002ζ3−2ζ3−2−222−i2−i2i2i20000000022-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002ζ−2ζ002ζ3−2ζ3−2−222−i2−i2i2i200000000
χ2422-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2ζ2ζ00−2ζ32ζ322−2−2i2i2−i2−i20000000022-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2ζ2ζ00−2ζ32ζ322−2−2i2i2−i2−i20000000022-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2ζ2ζ00−2ζ32ζ322−2−2i2i2−i2−i20000000022-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2ζ2ζ00−2ζ32ζ322−2−2i2i2−i2−i200000000
χ2522-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i0002ζ3−2ζ3002ζ−2ζ−2−222i2i2−i2−i20000000022-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i0002ζ3−2ζ3002ζ−2ζ−2−222i2i2−i2−i20000000022-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i0002ζ3−2ζ3002ζ−2ζ−2−222i2i2−i2−i20000000022-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i0002ζ3−2ζ3002ζ−2ζ−2−222i2i2−i2−i200000000
χ2622-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2ζ32ζ300−2ζ2ζ22−2−2−i2−i2i2i20000000022-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2ζ32ζ300−2ζ2ζ22−2−2−i2−i2i2i20000000022-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2ζ32ζ300−2ζ2ζ22−2−2−i2−i2i2i20000000022-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2ζ32ζ300−2ζ2ζ22−2−2−i2−i2i2i200000000
χ2722-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0002ζ3−2ζ3002ζ−2ζ22−2−2−i2−i2i2i20000000022-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0002ζ3−2ζ3002ζ−2ζ22−2−2−i2−i2i2i20000000022-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0002ζ3−2ζ3002ζ−2ζ22−2−2−i2−i2i2i20000000022-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0002ζ3−2ζ3002ζ−2ζ22−2−2−i2−i2i2i200000000
χ2822-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000−2ζ32ζ300−2ζ2ζ−2−222i2i2−i2−i20000000022-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000−2ζ32ζ300−2ζ2ζ−2−222i2i2−i2−i20000000022-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000−2ζ32ζ300−2ζ2ζ−2−222i2i2−i2−i20000000022-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000−2ζ32ζ300−2ζ2ζ−2−222i2i2−i2−i200000000
χ292-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i02ζ3−2ζ3002ζ−2ζ002−22−2i2−i2i2−i2000000002-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i02ζ3−2ζ3002ζ−2ζ002−22−2i2−i2i2−i2000000002-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i02ζ3−2ζ3002ζ−2ζ002−22−2i2−i2i2−i2000000002-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i02ζ3−2ζ3002ζ−2ζ002−22−2i2−i2i2−i200000000
χ302-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i0−2ζ32ζ300−2ζ2ζ00−22−22−i2i2−i2i2000000002-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i0−2ζ32ζ300−2ζ2ζ00−22−22−i2i2−i2i2000000002-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i0−2ζ32ζ300−2ζ2ζ00−22−22−i2i2−i2i2000000002-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i0−2ζ32ζ300−2ζ2ζ00−22−22−i2i2−i2i200000000
χ312-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i02ζ3−2ζ3002ζ−2ζ00−22−22−i2i2−i2i2000000002-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i02ζ3−2ζ3002ζ−2ζ00−22−22−i2i2−i2i2000000002-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i02ζ3−2ζ3002ζ−2ζ00−22−22−i2i2−i2i2000000002-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i02ζ3−2ζ3002ζ−2ζ00−22−22−i2i2−i2i200000000
χ322-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0−2ζ32ζ300−2ζ2ζ002−22−2i2−i2i2−i2000000002-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0−2ζ32ζ300−2ζ2ζ002−22−2i2−i2i2−i2000000002-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0−2ζ32ζ300−2ζ2ζ002−22−2i2−i2i2−i2000000002-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0−2ζ32ζ300−2ζ2ζ002−22−2i2−i2i2−i200000000
χ332-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i02ζ−2ζ002ζ3−2ζ300−22−22i2−i2i2−i2000000002-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i02ζ−2ζ002ζ3−2ζ300−22−22i2−i2i2−i2000000002-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i02ζ−2ζ002ζ3−2ζ300−22−22i2−i2i2−i2000000002-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i02ζ−2ζ002ζ3−2ζ300−22−22i2−i2i2−i200000000
χ342-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i0−2ζ2ζ00−2ζ32ζ3002−22−2−i2i2−i2i2000000002-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i0−2ζ2ζ00−2ζ32ζ3002−22−2−i2i2−i2i2000000002-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i0−2ζ2ζ00−2ζ32ζ3002−22−2−i2i2−i2i2000000002-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i0−2ζ2ζ00−2ζ32ζ3002−22−2−i2i2−i2i200000000
χ352-22-2−2i2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i02ζ−2ζ002ζ3−2ζ3002−22−2−i2i2−i2i2000000002-22-2−2i2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i02ζ−2ζ002ζ3−2ζ3002−22−2−i2i2−i2i2000000002-22-2−2i2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i02ζ−2ζ002ζ3−2ζ3002−22−2−i2i2−i2i2000000002-22-2−2i2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i02ζ−2ζ002ζ3−2ζ3002−22−2−i2i2−i2i200000000
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χ1461111-1-1-1-1-1-11−i−i−i−iiiii1iiii−i−i−i−i-1-1-1-11111-111-1i−i−ii-1-1-1-1111111-1iiii−i−i−i−i-1−i−i−i−iiiii1111-1-1-1-11-1-11−iii−i-1-1-1-1111111-1iiii−i−i−i−i-1−i−i−i−iiiii1111-1-1-1-11-1-11−iii−i1111-1-1-1-1-1-11−i−i−i−iiiii1iiii−i−i−i−i-1-1-1-11111-111-1i−i−ii
χ1471111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-111-1-1−ii−ii-1-1-1-1111111-1iiii−i−i−i−i-1iiii−i−i−i−i-1-1-1-11111-1-111i−ii−i-1-1-1-1111111-1iiii−i−i−i−i-1iiii−i−i−i−i-1-1-1-11111-1-111i−ii−i1111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-111-1-1−ii−ii
χ1481111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-1-1-111i−ii−i-1-1-1-1111111-1iiii−i−i−i−i-1iiii−i−i−i−i-1-1-1-1111111-1-1−ii−ii-1-1-1-1111111-1iiii−i−i−i−i-1iiii−i−i−i−i-1-1-1-1111111-1-1−ii−ii1111-1-1-1-1-1-11−i−i−i−iiiii1−i−i−i−iiiii1111-1-1-1-1-1-111i−ii−i
χ14922222222-2-2-200000000-222-2-222-2-20000000000000000-2-2-2-2-2-2-2-2222000000002-2-222-2-2220000000000000000-2-2-2-2-2-2-2-2222000000002-2-222-2-222000000000000000022222222-2-2-200000000-222-2-222-2-20000000000000000
χ15022222222-2-2-200000000-2-2-222-2-2220000000000000000-2-2-2-2-2-2-2-222200000000222-2-222-2-20000000000000000-2-2-2-2-2-2-2-222200000000222-2-222-2-2000000000000000022222222-2-2-200000000-2-2-222-2-2220000000000000000
χ1512222-2-2-2-222-200000000-22i2i−2i−2i−2i−2i2i2i0000000000000000-2-2-2-22222-2-22000000002−2i−2i2i2i2i2i−2i−2i0000000000000000-2-2-2-22222-2-22000000002−2i−2i2i2i2i2i−2i−2i00000000000000002222-2-2-2-222-200000000-22i2i−2i−2i−2i−2i2i2i0000000000000000
χ1522222-2-2-2-222-200000000-2−2i−2i2i2i2i2i−2i−2i0000000000000000-2-2-2-22222-2-220000000022i2i−2i−2i−2i−2i2i2i0000000000000000-2-2-2-22222-2-220000000022i2i−2i−2i−2i−2i2i2i00000000000000002222-2-2-2-222-200000000-2−2i−2i2i2i2i2i−2i−2i0000000000000000
χ15322-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002ζ−2ζ002ζ3−2ζ322−2−2i2i2−i2−i200000000-2-222−2i2i−2i2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2ζ2ζ00−2ζ32ζ3−2−222−i2−i2i2i200000000-2-222−2i2i−2i2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2ζ2ζ00−2ζ32ζ3−2−222−i2−i2i2i20000000022-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002ζ−2ζ002ζ3−2ζ322−2−2i2i2−i2−i200000000
χ15422-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2ζ2ζ00−2ζ32ζ3−2−222−i2−i2i2i200000000-2-222−2i2i−2i2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002ζ−2ζ002ζ3−2ζ322−2−2i2i2−i2−i200000000-2-222−2i2i−2i2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002ζ−2ζ002ζ3−2ζ322−2−2i2i2−i2−i20000000022-2-22i−2i2i−2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2ζ2ζ00−2ζ32ζ3−2−222−i2−i2i2i200000000
χ15522-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002ζ−2ζ002ζ3−2ζ3−2−222−i2−i2i2i200000000-2-222−2i2i−2i2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2ζ2ζ00−2ζ32ζ322−2−2i2i2−i2−i200000000-2-222−2i2i−2i2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i000−2ζ2ζ00−2ζ32ζ322−2−2i2i2−i2−i20000000022-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0002ζ−2ζ002ζ3−2ζ3−2−222−i2−i2i2i200000000
χ15622-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2ζ2ζ00−2ζ32ζ322−2−2i2i2−i2−i200000000-2-222−2i2i−2i2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002ζ−2ζ002ζ3−2ζ3−2−222−i2−i2i2i200000000-2-222−2i2i−2i2i0001+i1+i−1−i−1−i1−i1−i−1+i−1+i0002ζ−2ζ002ζ3−2ζ3−2−222−i2−i2i2i20000000022-2-22i−2i2i−2i000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000−2ζ2ζ00−2ζ32ζ322−2−2i2i2−i2−i200000000
χ15722-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i0002ζ3−2ζ3002ζ−2ζ−2−222i2i2−i2−i200000000-2-2222i−2i2i−2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000−2ζ32ζ300−2ζ2ζ22−2−2−i2−i2i2i200000000-2-2222i−2i2i−2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000−2ζ32ζ300−2ζ2ζ22−2−2−i2−i2i2i20000000022-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i0002ζ3−2ζ3002ζ−2ζ−2−222i2i2−i2−i200000000
χ15822-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2ζ32ζ300−2ζ2ζ22−2−2−i2−i2i2i200000000-2-2222i−2i2i−2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0002ζ3−2ζ3002ζ−2ζ−2−222i2i2−i2−i200000000-2-2222i−2i2i−2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0002ζ3−2ζ3002ζ−2ζ−2−222i2i2−i2−i20000000022-2-2−2i2i−2i2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2ζ32ζ300−2ζ2ζ22−2−2−i2−i2i2i200000000
χ15922-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0002ζ3−2ζ3002ζ−2ζ22−2−2−i2−i2i2i200000000-2-2222i−2i2i−2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2ζ32ζ300−2ζ2ζ−2−222i2i2−i2−i200000000-2-2222i−2i2i−2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i000−2ζ32ζ300−2ζ2ζ−2−222i2i2−i2−i20000000022-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0002ζ3−2ζ3002ζ−2ζ22−2−2−i2−i2i2i200000000
χ16022-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000−2ζ32ζ300−2ζ2ζ−2−222i2i2−i2−i200000000-2-2222i−2i2i−2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i0002ζ3−2ζ3002ζ−2ζ22−2−2−i2−i2i2i200000000-2-2222i−2i2i−2i0001−i1−i−1+i−1+i1+i1+i−1−i−1−i0002ζ3−2ζ3002ζ−2ζ22−2−2−i2−i2i2i20000000022-2-2−2i2i−2i2i000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000−2ζ32ζ300−2ζ2ζ−2−222i2i2−i2−i200000000
χ1612-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i02ζ3−2ζ3002ζ−2ζ002−22−2i2−i2i2−i200000000-22-22−2i2i2i−2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0−2ζ32ζ300−2ζ2ζ00−22−22−i2i2−i2i200000000-22-22−2i2i2i−2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0−2ζ32ζ300−2ζ2ζ00−22−22−i2i2−i2i2000000002-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i02ζ3−2ζ3002ζ−2ζ002−22−2i2−i2i2−i200000000
χ1622-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i0−2ζ32ζ300−2ζ2ζ00−22−22−i2i2−i2i200000000-22-22−2i2i2i−2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i02ζ3−2ζ3002ζ−2ζ002−22−2i2−i2i2−i200000000-22-22−2i2i2i−2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i02ζ3−2ζ3002ζ−2ζ002−22−2i2−i2i2−i2000000002-22-22i−2i−2i2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i0−2ζ32ζ300−2ζ2ζ00−22−22−i2i2−i2i200000000
χ1632-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i02ζ3−2ζ3002ζ−2ζ00−22−22−i2i2−i2i200000000-22-22−2i2i2i−2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i0−2ζ32ζ300−2ζ2ζ002−22−2i2−i2i2−i200000000-22-22−2i2i2i−2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i0−2ζ32ζ300−2ζ2ζ002−22−2i2−i2i2−i2000000002-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i02ζ3−2ζ3002ζ−2ζ00−22−22−i2i2−i2i200000000
χ1642-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0−2ζ32ζ300−2ζ2ζ002−22−2i2−i2i2−i200000000-22-22−2i2i2i−2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i02ζ3−2ζ3002ζ−2ζ00−22−22−i2i2−i2i200000000-22-22−2i2i2i−2i0001−i−1+i1−i−1+i1+i−1−i1+i−1−i02ζ3−2ζ3002ζ−2ζ00−22−22−i2i2−i2i2000000002-22-22i−2i−2i2i000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0−2ζ32ζ300−2ζ2ζ002−22−2i2−i2i2−i200000000
χ1652-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i02ζ−2ζ002ζ3−2ζ300−22−22i2−i2i2−i200000000-22-222i−2i−2i2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0−2ζ2ζ00−2ζ32ζ3002−22−2−i2i2−i2i200000000-22-222i−2i−2i2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0−2ζ2ζ00−2ζ32ζ3002−22−2−i2i2−i2i2000000002-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i02ζ−2ζ002ζ3−2ζ300−22−22i2−i2i2−i200000000
χ1662-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i0−2ζ2ζ00−2ζ32ζ3002−22−2−i2i2−i2i200000000-22-222i−2i−2i2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i02ζ−2ζ002ζ3−2ζ300−22−22i2−i2i2−i200000000-22-222i−2i−2i2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i02ζ−2ζ002ζ3−2ζ300−22−22i2−i2i2−i2000000002-22-2−2i2i2i−2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i0−2ζ2ζ00−2ζ32ζ3002−22−2−i2i2−i2i200000000
χ1672-22-2−2i2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i02ζ−2ζ002ζ3−2ζ3002−22−2−i2i2−i2i200000000-22-222i−2i−2i2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i0−2ζ2ζ00−2ζ32ζ300−22−22i2−i2i2−i200000000-22-222i−2i−2i2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i0−2ζ2ζ00−2ζ32ζ300−22−22i2−i2i2−i2000000002-22-2−2i2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i02ζ−2ζ002ζ3−2ζ3002−22−2−i2i2−i2i200000000
χ1682-22-2−2i2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0−2ζ2ζ00−2ζ32ζ300−22−22i2−i2i2−i200000000-22-222i−2i−2i2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i02ζ−2ζ002ζ3−2ζ3002−22−2−i2i2−i2i200000000-22-222i−2i−2i2i0001+i−1−i1+i−1−i1−i−1+i1−i−1+i02ζ−2ζ002ζ3−2ζ3002−22−2−i2i2−i2i2000000002-22-2−2i2i2i−2i000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0−2ζ2ζ00−2ζ32ζ300−22−22i2−i2i2−i200000000
χ1692-2-2222-2-22-222i−2i−2i2i−2i2i2i−2i-2000000000000000000000000-222-2-2-222-22-2−2i2i2i−2i2i−2i−2i2i2000000000000000000000000-222-2-2-222-22-2−2i2i2i−2i2i−2i−2i2i20000000000000000000000002-2-2222-2-22-222i−2i−2i2i−2i2i2i−2i-2000000000000000000000000
χ1702-2-2222-2-22-22−2i2i2i−2i2i−2i−2i2i-2000000000000000000000000-222-2-2-222-22-22i−2i−2i2i−2i2i2i−2i2000000000000000000000000-222-2-2-222-22-22i−2i−2i2i−2i2i2i−2i20000000000000000000000002-2-2222-2-22-22−2i2i2i−2i2i−2i−2i2i-2000000000000000000000000
χ1712-2-2222-2-2-22-2000000002000000002-2-222-2-2200000000-222-2-2-2222-2200000000-200000000-222-2-222-200000000-222-2-2-2222-2200000000-200000000-222-2-222-2000000002-2-2222-2-2-22-2000000002000000002-2-222-2-2200000000
χ1722-2-2222-2-2-22-200000000200000000-222-2-222-200000000-222-2-2-2222-2200000000-2000000002-2-222-2-2200000000-222-2-2-2222-2200000000-2000000002-2-222-2-22000000002-2-2222-2-2-22-200000000200000000-222-2-222-200000000
χ1732-2-22-2-2222-2-2000000002000000002-2-22-222-200000000-222-222-2-2-22200000000-200000000-222-22-2-2200000000-222-222-2-2-22200000000-200000000-222-22-2-22000000002-2-22-2-2222-2-2000000002000000002-2-22-222-200000000
χ1742-2-22-2-2222-2-200000000200000000-222-22-2-2200000000-222-222-2-2-22200000000-2000000002-2-22-222-200000000-222-222-2-2-22200000000-2000000002-2-22-222-2000000002-2-22-2-2222-2-200000000200000000-222-22-2-2200000000
χ1752-2-22-2-222-2222-2-222-2-22-2000000000000000000000000-222-222-2-22-2-2-222-2-222-22000000000000000000000000-222-222-2-22-2-2-222-2-222-220000000000000000000000002-2-22-2-222-2222-2-222-2-22-2000000000000000000000000
χ1762-2-22-2-222-222-222-2-222-2-2000000000000000000000000-222-222-2-22-2-22-2-222-2-222000000000000000000000000-222-222-2-22-2-22-2-222-2-2220000000000000000000000002-2-22-2-222-222-222-2-222-2-2000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.