Finite Group Databasebeta

← Group #99728

Character table — Group #99728

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222222222224444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111
χ101111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1
χ111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1
χ121111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ171111-1-1-111-1-1-11-11-1iiii−i−i−i−i1111-1-1-1-1iii−i−i−iii−i−iii−i−ii−i11-1-1ii−i−i11-1-1ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−ii−i1-1
χ181111-1-1-111-1-1-11-11-1iiii−i−i−i−i1111-1-1-1-1iii−i−i−iii−i−iii−i−ii−i11-1-1ii−i−i11-1-1ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−ii−ii-11
χ191111-1-1-111-1-1-11-11-1iiii−i−i−i−i1111-1-1-1-1iii−i−i−iii−i−iii−i−ii−i11-1-1ii−i−i11-1-1−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii−ii-11
χ201111-1-1-111-1-1-11-11-1iiii−i−i−i−i1111-1-1-1-1iii−i−i−iii−i−iii−i−ii−i11-1-1ii−i−i11-1-1−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−ii−i1-1
χ211111-1-1-111-1-1-11-11-1iiii−i−i−i−i-1-1-1-11111−i−i−iiii−i−iii−i−iii−ii11-1-1ii−i−i-1-111ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζ1-1−iii−i-11
χ221111-1-1-111-1-1-11-11-1iiii−i−i−i−i-1-1-1-11111−i−i−iiii−i−iii−i−iii−ii11-1-1ii−i−i-1-111ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζζζζ−ζ−ζ−ζ−ζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ-11i−i−ii1-1
χ231111-1-1-111-1-1-11-11-1iiii−i−i−i−i-1-1-1-11111−i−i−iiii−i−iii−i−iii−ii11-1-1ii−i−i-1-111−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ−ζ−ζ−ζζζζζζ3ζ3−ζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζ-11i−i−ii1-1
χ241111-1-1-111-1-1-11-11-1iiii−i−i−i−i-1-1-1-11111−i−i−iiii−i−iii−i−iii−ii11-1-1ii−i−i-1-111−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζ−ζζζ1-1−iii−i-11
χ251111-1-1-111-1-1-11-11-1−i−i−i−iiiii1111-1-1-1-1−i−i−iiii−i−iii−i−iii−ii11-1-1−i−iii11-1-1ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii−ii1-1
χ261111-1-1-111-1-1-11-11-1−i−i−i−iiiii1111-1-1-1-1−i−i−iiii−i−iii−i−iii−ii11-1-1−i−iii11-1-1ζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−ii−i-11
χ271111-1-1-111-1-1-11-11-1−i−i−i−iiiii1111-1-1-1-1−i−i−iiii−i−iii−i−iii−ii11-1-1−i−iii11-1-1−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−ii−i-11
χ281111-1-1-111-1-1-11-11-1−i−i−i−iiiii1111-1-1-1-1−i−i−iiii−i−iii−i−iii−ii11-1-1−i−iii11-1-1−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii−ii1-1
χ291111-1-1-111-1-1-11-11-1−i−i−i−iiiii-1-1-1-11111iii−i−i−iii−i−iii−i−ii−i11-1-1−i−iii-1-111ζζζζ−ζ−ζ−ζ−ζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ31-1i−i−ii-11
χ301111-1-1-111-1-1-11-11-1−i−i−i−iiiii-1-1-1-11111iii−i−i−iii−i−iii−i−ii−i11-1-1−i−iii-1-111ζζζζ−ζ−ζ−ζ−ζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3-11−iii−i1-1
χ311111-1-1-111-1-1-11-11-1−i−i−i−iiiii-1-1-1-11111iii−i−i−iii−i−iii−i−ii−i11-1-1−i−iii-1-111−ζ−ζ−ζ−ζζζζζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3-11−iii−i1-1
χ321111-1-1-111-1-1-11-11-1−i−i−i−iiiii-1-1-1-11111iii−i−i−iii−i−iii−i−ii−i11-1-1−i−iii-1-111−ζ−ζ−ζ−ζζζζζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3−ζ3ζ3ζ31-1i−i−ii-11
χ3322222222222222222222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ372222-2-2-222-2-2-22-22-22i2i2i2i−2i−2i−2i−2i2222-2-2-2-22i2i2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i−2i-2-222−2i−2i2i2i-2-22200000000000000000000000000000000000000000000000000000000
χ382222-2-2-222-2-2-22-22-22i2i2i2i−2i−2i−2i−2i-2-2-2-22222−2i−2i−2i2i2i2i2i2i−2i−2i2i2i−2i−2i−2i2i-2-222−2i−2i2i2i22-2-200000000000000000000000000000000000000000000000000000000
χ392222-2-2-222-2-2-22-22-2−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2−2i−2i−2i2i2i2i2i2i−2i−2i2i2i−2i−2i−2i2i-2-2222i2i−2i−2i-2-22200000000000000000000000000000000000000000000000000000000
χ402222-2-2-222-2-2-22-22-2−2i−2i−2i−2i2i2i2i2i-2-2-2-222222i2i2i−2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i−2i-2-2222i2i−2i−2i22-2-200000000000000000000000000000000000000000000000000000000
χ41222-222-22-222-2-2-2-2-222-2-222-2-222-2-222-2-222-222-200000000-2-2000000000000000000000000000000000000000000002−22−22−22−22−22−22−22−200000000
χ42222-222-22-222-2-2-2-2-222-2-222-2-222-2-222-2-222-222-200000000-2-200000000000000000000000000000000000000000000−22−22−22−22−22−22−22−2200000000
χ43222-222-22-222-2-2-2-2-222-2-222-2-2-2-222-2-222-2-22-2-22000000002200000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ44222-222-22-222-2-2-2-2-222-2-222-2-2-2-222-2-222-2-22-2-22000000002200000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ45222-222-22-222-2-2-2-2-2-2-222-2-22222-2-222-2-2-2-22-2-22000000002200000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ46222-222-22-222-2-2-2-2-2-2-222-2-22222-2-222-2-2-2-22-2-22000000002200000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ47222-222-22-222-2-2-2-2-2-2-222-2-222-2-222-2-22222-222-200000000-2-2000000000000000000000000000000000000000000002−22−2−22−22−22−222−22−200000000
χ48222-222-22-222-2-2-2-2-2-2-222-2-222-2-222-2-22222-222-200000000-2-200000000000000000000000000000000000000000000−22−222−22−22−22−2−22−2200000000
χ49222-2-2-222-2-2-22-22-222i2i−2i−2i−2i−2i2i2i22-2-2-2-2222i2i−2i−2i−2i2i00000000−2i2i000000000000000000000000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ50222-2-2-222-2-2-22-22-222i2i−2i−2i−2i−2i2i2i22-2-2-2-2222i2i−2i−2i−2i2i00000000−2i2i00000000000000000000000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ51222-2-2-222-2-2-22-22-222i2i−2i−2i−2i−2i2i2i-2-22222-2-2−2i−2i2i2i2i−2i000000002i−2i000000000000000000000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ52222-2-2-222-2-2-22-22-222i2i−2i−2i−2i−2i2i2i-2-22222-2-2−2i−2i2i2i2i−2i000000002i−2i00000000000000000000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ53222-2-2-222-2-2-22-22-22−2i−2i2i2i2i2i−2i−2i22-2-2-2-222−2i−2i2i2i2i−2i000000002i−2i000000000000000000000000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ54222-2-2-222-2-2-22-22-22−2i−2i2i2i2i2i−2i−2i22-2-2-2-222−2i−2i2i2i2i−2i000000002i−2i00000000000000000000000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ55222-2-2-222-2-2-22-22-22−2i−2i2i2i2i2i−2i−2i-2-22222-2-22i2i−2i−2i−2i2i00000000−2i2i000000000000000000000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ56222-2-2-222-2-2-22-22-22−2i−2i2i2i2i2i−2i−2i-2-22222-2-22i2i−2i−2i−2i2i00000000−2i2i00000000000000000000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ5722-222-22-2-22-2-2-2-222000000002i−2i2i−2i2i−2i2i−2i0000002-22-22-22-20000002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ5822-222-22-2-22-2-2-2-222000000002i−2i2i−2i2i−2i2i−2i0000002-22-22-22-20000002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ5922-222-22-2-22-2-2-2-222000000002i−2i2i−2i2i−2i2i−2i000000-22-22-22-22000000−2i2i−2i2i000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222000000000000000000000000
χ6022-222-22-2-22-2-2-2-222000000002i−2i2i−2i2i−2i2i−2i000000-22-22-22-22000000−2i2i−2i2i0000−2−222−2−222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222−2−222−2−2000000000000000000000000
χ6122-222-22-2-22-2-2-2-22200000000−2i2i−2i2i−2i2i−2i2i0000002-22-22-22-2000000−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ6222-222-22-2-22-2-2-2-22200000000−2i2i−2i2i−2i2i−2i2i0000002-22-22-22-2000000−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ6322-222-22-2-22-2-2-2-22200000000−2i2i−2i2i−2i2i−2i2i000000-22-22-22-220000002i−2i2i−2i000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222000000000000000000000000
χ6422-222-22-2-22-2-2-2-22200000000−2i2i−2i2i−2i2i−2i2i000000-22-22-22-220000002i−2i2i−2i0000−2−222−2−222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000000000000000000000
χ6522-22-22-2-2-2-222-222-2000000002i−2i2i−2i−2i2i−2i2i0000002i−2i−2i2i2i−2i−2i2i000000-222-200001−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i000000000000000000000000
χ6622-22-22-2-2-2-222-222-2000000002i−2i2i−2i−2i2i−2i2i0000002i−2i−2i2i2i−2i−2i2i000000-222-20000−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i000000000000000000000000
χ6722-22-22-2-2-2-222-222-2000000002i−2i2i−2i−2i2i−2i2i000000−2i2i2i−2i−2i2i2i−2i0000002-2-2200001+i1+i−1−i−1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i000000000000000000000000
χ6822-22-22-2-2-2-222-222-2000000002i−2i2i−2i−2i2i−2i2i000000−2i2i2i−2i−2i2i2i−2i0000002-2-220000−1−i−1−i1+i1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i000000000000000000000000
χ6922-22-22-2-2-2-222-222-200000000−2i2i−2i2i2i−2i2i−2i0000002i−2i−2i2i2i−2i−2i2i0000002-2-2200001−i1−i−1+i−1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i000000000000000000000000
χ7022-22-22-2-2-2-222-222-200000000−2i2i−2i2i2i−2i2i−2i0000002i−2i−2i2i2i−2i−2i2i0000002-2-220000−1+i−1+i1−i1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i000000000000000000000000
χ7122-22-22-2-2-2-222-222-200000000−2i2i−2i2i2i−2i2i−2i000000−2i2i2i−2i−2i2i2i−2i000000-222-200001+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i000000000000000000000000
χ7222-22-22-2-2-2-222-222-200000000−2i2i−2i2i2i−2i2i−2i000000−2i2i2i−2i−2i2i2i−2i000000-222-20000−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i000000000000000000000000
χ732-22-22-22-2-2-2222-22-22i−2i2i−2i2i−2i2i−2i000000000000002i2i−2i−2i−2i−2i2i2i00000000002-22-21−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000000000000000
χ742-22-22-22-2-2-2222-22-22i−2i2i−2i2i−2i2i−2i000000000000002i2i−2i−2i−2i−2i2i2i00000000002-22-2−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000000000000000
χ752-22-22-22-2-2-2222-22-22i−2i2i−2i2i−2i2i−2i00000000000000−2i−2i2i2i2i2i−2i−2i0000000000-22-221+i−1−i1+i−1−i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000000000000000
χ762-22-22-22-2-2-2222-22-22i−2i2i−2i2i−2i2i−2i00000000000000−2i−2i2i2i2i2i−2i−2i0000000000-22-22−1−i1+i−1−i1+i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000000000000000
χ772-22-22-22-2-2-2222-22-2−2i2i−2i2i−2i2i−2i2i000000000000002i2i−2i−2i−2i−2i2i2i0000000000-22-221−i−1+i1−i−1+i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000000000000000
χ782-22-22-22-2-2-2222-22-2−2i2i−2i2i−2i2i−2i2i000000000000002i2i−2i−2i−2i−2i2i2i0000000000-22-22−1+i1−i−1+i1−i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000000000000000
χ792-22-22-22-2-2-2222-22-2−2i2i−2i2i−2i2i−2i2i00000000000000−2i−2i2i2i2i2i−2i−2i00000000002-22-21+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000000000000000
χ802-22-22-22-2-2-2222-22-2−2i2i−2i2i−2i2i−2i2i00000000000000−2i−2i2i2i2i2i−2i−2i00000000002-22-2−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000000000000000
χ812-22-2-22-2-2-22-2-222222-22-2-22-22000000000000002222-2-2-2-200000000002-2-22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ822-22-2-22-2-2-22-2-222222-22-2-22-22000000000000002222-2-2-2-200000000002-2-22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ832-22-2-22-2-2-22-2-222222-22-2-22-2200000000000000-2-2-2-222220000000000-222-22−22−2−22−222−22−2−22−22−22−222−22−2−22−222−22−2000000000000000000000000
χ842-22-2-22-2-2-22-2-222222-22-2-22-2200000000000000-2-2-2-222220000000000-222-2−22−222−22−2−22−222−22−22−22−2−22−222−22−2−22−22000000000000000000000000
χ852-22-2-22-2-2-22-2-22222-22-222-22-2000000000000002222-2-2-2-20000000000-222-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ862-22-2-22-2-2-22-2-22222-22-222-22-2000000000000002222-2-2-2-20000000000-222-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ872-22-2-22-2-2-22-2-22222-22-222-22-200000000000000-2-2-2-2222200000000002-2-222−22−2−22−22−22−222−22−22−22−2−22−22−22−222−22−2000000000000000000000000
χ882-22-2-22-2-2-22-2-22222-22-222-22-200000000000000-2-2-2-2222200000000002-2-22−22−222−22−22−22−2−22−22−22−222−22−22−22−2−22−22000000000000000000000000
χ892-2-2-222222-2-2-2-222-200000000000000002i−2i2i2i−2i−2i2i−2i−2i2i−2i2i2i−2i−2i2i2-22-200000000000000002ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ300000000000000000000000000000000
χ902-2-2-222222-2-2-2-222-200000000000000002i−2i2i2i−2i−2i2i−2i−2i2i−2i2i2i−2i−2i2i2-22-20000000000000000−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ300000000000000000000000000000000
χ912-2-2-222222-2-2-2-222-200000000000000002i−2i2i2i−2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i-22-22000000002ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ300000000000000002ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ000000000000000000000000
χ922-2-2-222222-2-2-2-222-200000000000000002i−2i2i2i−2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i-22-2200000000−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ30000000000000000−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ000000000000000000000000
χ932-2-2-222222-2-2-2-222-20000000000000000−2i2i−2i−2i2i2i2i−2i−2i2i−2i2i2i−2i2i−2i-22-22000000002ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ00000000000000002ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ3000000000000000000000000
χ942-2-2-222222-2-2-2-222-20000000000000000−2i2i−2i−2i2i2i2i−2i−2i2i−2i2i2i−2i2i−2i-22-2200000000−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ0000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3000000000000000000000000
χ952-2-2-222222-2-2-2-222-20000000000000000−2i2i−2i−2i2i2i−2i2i2i−2i2i−2i−2i2i2i−2i2-22-200000000000000002ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ00000000000000000000000000000000
χ962-2-2-222222-2-2-2-222-20000000000000000−2i2i−2i−2i2i2i−2i2i2i−2i2i−2i−2i2i2i−2i2-22-20000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ00000000000000000000000000000000
χ972-2-2-2-2-2-222222-2-22200000000000000002-22-2222-22-2-22-22-2-22-2-2200000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ982-2-2-2-2-2-222222-2-22200000000000000002-22-2222-22-2-22-22-2-22-2-220000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ992-2-2-2-2-2-222222-2-22200000000000000002-22-222-22-222-22-2-2-2-222-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ1002-2-2-2-2-2-222222-2-22200000000000000002-22-222-22-222-22-2-2-2-222-200000000−2i2i2i−2i2i−2i−2i2i00000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ1012-2-2-2-2-2-222222-2-2220000000000000000-22-22-2-22-22-2-22-2222-222-2000000002-2-22-222-200000000000000002-2-22-222-2000000000000000000000000
χ1022-2-2-2-2-2-222222-2-2220000000000000000-22-22-2-22-22-2-22-2222-222-200000000-222-22-2-220000000000000000-222-22-2-22000000000000000000000000
χ1032-2-2-2-2-2-222222-2-2220000000000000000-22-22-2-2-22-222-22-2222-2-2200000000000000002-2-22-222-2-222-22-2-2200000000000000000000000000000000
χ1042-2-2-2-2-2-222222-2-2220000000000000000-22-22-2-2-22-222-22-2222-2-220000000000000000-222-22-2-222-2-22-222-200000000000000000000000000000000
χ10544-4-44-4-4-444-4444-4-4000000004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10644-4-44-4-4-444-4444-4-400000000−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-4-444-44-44-44-4-44000000004i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-4-444-44-44-44-4-4400000000−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4444-4-4-44-44-4-44-444i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4444-4-4-44-44-4-44-44−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-444-444-444-44-4-4-4-44-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-444-444-444-44-4-4-4-4-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4444-44-4-4-444-4-4400000000000000004i−4i−4i4i−4i4i000000004i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-4444-44-4-4-444-4-440000000000000000−4i4i4i−4i4i−4i00000000−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-44-4-444-444-444-4-400000000000000004-4-4-44-4000000004400000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-44-4-444-444-444-4-40000000000000000-4444-4400000000-4-400000000000000000000000000000000000000000000000000000000000000000000

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