Finite Group Databasebeta

← Group #206016

Character table — Group #206016

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12224444222244444444444444448888888888888888244444444444444444448888888888888888888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1
χ91111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ101111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii
χ111111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii
χ121111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i
χ131111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111ii−i−i−i−iii
χ141111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1−i−iiiii−i−i
χ151111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ161111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ171111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ181111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ191111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-11-11-11-11
χ201111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11-11-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-11-11-111-11-11-11-1
χ211111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-11-1-11-111-11-1-11-11
χ221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-11-111-11-1-11-111-11-1
χ231111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111-11-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-1-11-11-11-111-11-1
χ241111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111-11-1-1-1-1-11111-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-1-1-1-11-111-11-11-11-1-11-11
χ251111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-111-1-11i−i−iii−i−ii
χ261111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1-111-1−iii−i−iii−i
χ271111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-111-1-11−iii−i−iii−i
χ281111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1-111-1i−i−iii−i−ii
χ291111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11-111-1i−i−ii−iii−i
χ301111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-11-1-11−iii−ii−i−ii
χ311111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11-111-1−iii−ii−i−ii
χ321111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-11-1-11i−i−ii−iii−i
χ332222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ342222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ352222222222-2-222-2-2-2-22222-2-222220000000000000000-2-2-2-200000000000000000000000022-2-222-2-2-2-222-2-2220000000000000000
χ362222222222-2-222-2-2-2-22222-2-222220000000000000000-2-2-2-2000000000000000000000000-2-222-2-22222-2-222-2-20000000000000000
χ3722222222-2-222-2-2222222-2-22222-2-22222222222222222-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ3822222222-2-222-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002222222200000000000000000000000000000000
χ3922222222-2-222-2-222-2-2-2-222-2-2-2-2220000000000000000-2-22222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ4022222222-2-222-2-222-2-2-2-222-2-2-2-2220000000000000000-2-222-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-222-2-22222-2-22222222222-2-2-2-2-2-2-2-222-2-20000000000000000-2-2-2-2222200000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-222-2-22222-2-222-2-2-2-2-2-2-2-22222222222-2-200000000000000002222-2-2-2-200000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-2000000000000000022222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-200000000000000002222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ452222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-200000000000000002-2-220000000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ462222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-200000000000000002-2-22000000000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ472222-2-2-2-222-2-2-2-22222-2-2-2-2-2-222220000000000000000-22-2200000000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ482222-2-2-2-222-2-2-2-22222-2-2-2-2-2-222220000000000000000-22-22000000000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
χ492222-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2220000000000000000-222-222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ502222-2-2-2-2-2-22222-2-22222-2-2-2-2-2-2220000000000000000-222-2-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000
χ512222-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-22222-2-2-2-22222-2-2-2-2-22-220000000000000000-2-222-2-22200000000000000000000000000000000
χ522222-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-22222-2-2-2-22222-22-22000000000000000022-2-222-2-200000000000000000000000000000000
χ532222-2-2-2-2-2-2-2-2222222-2-222-2-222-2-200000000000000002-22-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ542222-2-2-2-2-2-2-2-2222222-2-222-2-222-2-200000000000000002-22-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ552222-2-2-2-2-2-2-2-22222-2-222-2-222-2-2222222-2-2-2-2-2-2-2-222222-2-220000000000000000-2-22222-2-200000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-22222-2-222-2-222-2-222-2-2-2-222222222-2-2-2-22-2-22000000000000000022-2-2-2-22200000000000000000000000000000000
χ572-22-22i2i−2i−2i2-2002i−2i00002-22-2002i−2i2i−2ii2i2−i2−i222−2−222−2−2i2i2−i2−i200001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−ii2−i22−22−2i2−i2002ζ3−2ζ3002ζ−2ζ2ζ−2ζ002ζ3−2ζ3000000000000000000
χ582-22-22i2i−2i−2i2-2002i−2i00002-22-2002i−2i2i−2ii2i2−i2−i222−2−222−2−2i2i2−i2−i20000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+ii2−i22−22−2i2−i200−2ζ32ζ300−2ζ2ζ−2ζ2ζ00−2ζ32ζ3000000000000000000
χ592-22-22i2i−2i−2i2-2002i−2i00002-22-2002i−2i2i−2i−i2−i2i2i2−2−222−2−222−i2−i2i2i200001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−i2i2−22−22−i2i200−2ζ32ζ300−2ζ2ζ−2ζ2ζ00−2ζ32ζ3000000000000000000
χ602-22-22i2i−2i−2i2-2002i−2i00002-22-2002i−2i2i−2i−i2−i2i2i2−2−222−2−222−i2−i2i2i20000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−i2i2−22−22−i2i2002ζ3−2ζ3002ζ−2ζ2ζ−2ζ002ζ3−2ζ3000000000000000000
χ612-22-22i2i−2i−2i2-2002i−2i0000-22-2200−2i2i−2i2ii2i2−i2−i222−2−2−2−222−i2−i2i2i200001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−ii2−i22−2−22−i2i2002ζ−2ζ00−2ζ32ζ32ζ3−2ζ300−2ζ2ζ000000000000000000
χ622-22-22i2i−2i−2i2-2002i−2i0000-22-2200−2i2i−2i2ii2i2−i2−i222−2−2−2−222−i2−i2i2i20000−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+ii2−i22−2−22−i2i200−2ζ2ζ002ζ3−2ζ3−2ζ32ζ3002ζ−2ζ000000000000000000
χ632-22-22i2i−2i−2i2-2002i−2i0000-22-2200−2i2i−2i2i−i2−i2i2i2−2−22222−2−2i2i2−i2−i200001−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−i2i2−222−2i2−i200−2ζ2ζ002ζ3−2ζ3−2ζ32ζ3002ζ−2ζ000000000000000000
χ642-22-22i2i−2i−2i2-2002i−2i0000-22-2200−2i2i−2i2i−i2−i2i2i2−2−22222−2−2i2i2−i2−i20000−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−i2i2−222−2i2−i2002ζ−2ζ00−2ζ32ζ32ζ3−2ζ300−2ζ2ζ000000000000000000
χ652-22-22i2i−2i−2i-2200−2i2i00002-2-22002i−2i−2i2ii2i2−i2−i222−2−222−2−2i2i2−i2−i200001−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−i2i2−22−22−i2i22ζ−2ζ002ζ3−2ζ300002ζ3−2ζ3002ζ−2ζ0000000000000000
χ662-22-22i2i−2i−2i-2200−2i2i00002-2-22002i−2i−2i2ii2i2−i2−i222−2−222−2−2i2i2−i2−i20000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−i2i2−22−22−i2i2−2ζ2ζ00−2ζ32ζ30000−2ζ32ζ300−2ζ2ζ0000000000000000
χ672-22-22i2i−2i−2i-2200−2i2i00002-2-22002i−2i−2i2i−i2−i2i2i2−2−222−2−222−i2−i2i2i200001−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+ii2−i22−22−2i2−i2−2ζ2ζ00−2ζ32ζ30000−2ζ32ζ300−2ζ2ζ0000000000000000
χ682-22-22i2i−2i−2i-2200−2i2i00002-2-22002i−2i−2i2i−i2−i2i2i2−2−222−2−222−i2−i2i2i20000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−ii2−i22−22−2i2−i22ζ−2ζ002ζ3−2ζ300002ζ3−2ζ3002ζ−2ζ0000000000000000
χ692-22-22i2i−2i−2i-2200−2i2i0000-222-200−2i2i2i−2ii2i2−i2−i222−2−2−2−222−i2−i2i2i200001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−i2i2−222−2i2−i22ζ3−2ζ300−2ζ2ζ00002ζ−2ζ00−2ζ32ζ30000000000000000
χ702-22-22i2i−2i−2i-2200−2i2i0000-222-200−2i2i2i−2ii2i2−i2−i222−2−2−2−222−i2−i2i2i20000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−i2i2−222−2i2−i2−2ζ32ζ3002ζ−2ζ0000−2ζ2ζ002ζ3−2ζ30000000000000000
χ712-22-22i2i−2i−2i-2200−2i2i0000-222-200−2i2i2i−2i−i2−i2i2i2−2−22222−2−2i2i2−i2−i200001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+ii2−i22−2−22−i2i2−2ζ32ζ3002ζ−2ζ0000−2ζ2ζ002ζ3−2ζ30000000000000000
χ722-22-22i2i−2i−2i-2200−2i2i0000-222-200−2i2i2i−2i−i2−i2i2i2−2−22222−2−2i2i2−i2−i20000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−ii2−i22−2−22−i2i22ζ3−2ζ300−2ζ2ζ00002ζ−2ζ00−2ζ32ζ30000000000000000
χ732-22-2−2i−2i2i2i2-200−2i2i00002-22-200−2i2i−2i2ii2i2−i2−i2−2−222−2−222i2i2−i2−i200001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+ii2−i2−22−22i2−i2002ζ−2ζ002ζ3−2ζ32ζ3−2ζ3002ζ−2ζ000000000000000000
χ742-22-2−2i−2i2i2i2-200−2i2i00002-22-200−2i2i−2i2ii2i2−i2−i2−2−222−2−222i2i2−i2−i20000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2−i2−22−22i2−i200−2ζ2ζ00−2ζ32ζ3−2ζ32ζ300−2ζ2ζ000000000000000000
χ752-22-2−2i−2i2i2i2-200−2i2i00002-22-200−2i2i−2i2i−i2−i2i2i222−2−222−2−2−i2−i2i2i200001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2i22−22−2−i2i200−2ζ2ζ00−2ζ32ζ3−2ζ32ζ300−2ζ2ζ000000000000000000
χ762-22-2−2i−2i2i2i2-200−2i2i00002-22-200−2i2i−2i2i−i2−i2i2i222−2−222−2−2−i2−i2i2i20000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2i22−22−2−i2i2002ζ−2ζ002ζ3−2ζ32ζ3−2ζ3002ζ−2ζ000000000000000000
χ772-22-2−2i−2i2i2i2-200−2i2i0000-22-22002i−2i2i−2ii2i2−i2−i2−2−22222−2−2−i2−i2i2i200001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+ii2−i2−222−2−i2i2002ζ3−2ζ300−2ζ2ζ2ζ−2ζ00−2ζ32ζ3000000000000000000
χ782-22-2−2i−2i2i2i2-200−2i2i0000-22-22002i−2i2i−2ii2i2−i2−i2−2−22222−2−2−i2−i2i2i20000−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−ii2−i2−222−2−i2i200−2ζ32ζ3002ζ−2ζ−2ζ2ζ002ζ3−2ζ3000000000000000000
χ792-22-2−2i−2i2i2i2-200−2i2i0000-22-22002i−2i2i−2i−i2−i2i2i222−2−2−2−222i2i2−i2−i200001+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−i2i22−2−22i2−i200−2ζ32ζ3002ζ−2ζ−2ζ2ζ002ζ3−2ζ3000000000000000000
χ802-22-2−2i−2i2i2i2-200−2i2i0000-22-22002i−2i2i−2i−i2−i2i2i222−2−2−2−222i2i2−i2−i20000−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−i2i22−2−22i2−i2002ζ3−2ζ300−2ζ2ζ2ζ−2ζ00−2ζ32ζ3000000000000000000
χ812-22-2−2i−2i2i2i-22002i−2i00002-2-2200−2i2i2i−2ii2i2−i2−i2−2−222−2−222i2i2−i2−i200001+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−i2i22−22−2−i2i22ζ3−2ζ3002ζ−2ζ00002ζ−2ζ002ζ3−2ζ30000000000000000
χ822-22-2−2i−2i2i2i-22002i−2i00002-2-2200−2i2i2i−2ii2i2−i2−i2−2−222−2−222i2i2−i2−i20000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−i2i22−22−2−i2i2−2ζ32ζ300−2ζ2ζ0000−2ζ2ζ00−2ζ32ζ30000000000000000
χ832-22-2−2i−2i2i2i-22002i−2i00002-2-2200−2i2i2i−2i−i2−i2i2i222−2−222−2−2−i2−i2i2i200001+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−ii2−i2−22−22i2−i2−2ζ32ζ300−2ζ2ζ0000−2ζ2ζ00−2ζ32ζ30000000000000000
χ842-22-2−2i−2i2i2i-22002i−2i00002-2-2200−2i2i2i−2i−i2−i2i2i222−2−222−2−2−i2−i2i2i20000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+ii2−i2−22−22i2−i22ζ3−2ζ3002ζ−2ζ00002ζ−2ζ002ζ3−2ζ30000000000000000
χ852-22-2−2i−2i2i2i-22002i−2i0000-222-2002i−2i−2i2ii2i2−i2−i2−2−22222−2−2−i2−i2i2i200001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−i2i22−2−22i2−i22ζ−2ζ00−2ζ32ζ300002ζ3−2ζ300−2ζ2ζ0000000000000000
χ862-22-2−2i−2i2i2i-22002i−2i0000-222-2002i−2i−2i2ii2i2−i2−i2−2−22222−2−2−i2−i2i2i20000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−i2i22−2−22i2−i2−2ζ2ζ002ζ3−2ζ30000−2ζ32ζ3002ζ−2ζ0000000000000000
χ872-22-2−2i−2i2i2i-22002i−2i0000-222-2002i−2i−2i2i−i2−i2i2i222−2−2−2−222i2i2−i2−i200001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−ii2−i2−222−2−i2i2−2ζ2ζ002ζ3−2ζ30000−2ζ32ζ3002ζ−2ζ0000000000000000
χ882-22-2−2i−2i2i2i-22002i−2i0000-222-2002i−2i−2i2i−i2−i2i2i222−2−2−2−222i2i2−i2−i20000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+ii2−i2−222−2−i2i22ζ−2ζ00−2ζ32ζ300002ζ3−2ζ300−2ζ2ζ0000000000000000
χ8944-4-44-44-4004-4004-400000000000022−2222−2222−2222−2222−2222−2222−2222−22000000000000000000000000000000000000000000000000000000000000
χ9044-4-44-44-4004-4004-4000000000000−2222−2222−2222−2222−2222−2222−2222−2222000000000000000000000000000000000000000000000000000000000000
χ9144-4-44-44-400-4400-4400000000000022−2222−2222−2222−22−2222−2222−2222−2222000000000000000000000000000000000000000000000000000000000000
χ9244-4-44-44-400-4400-44000000000000−2222−2222−2222−222222−2222−2222−2222−22000000000000000000000000000000000000000000000000000000000000
χ9344-4-4-44-44004-400-4400000000000022−2222−22−2222−222222−2222−22−2222−2222000000000000000000000000000000000000000000000000000000000000
χ9444-4-4-44-44004-400-44000000000000−2222−222222−2222−22−2222−222222−2222−22000000000000000000000000000000000000000000000000000000000000
χ9544-4-4-44-4400-44004-400000000000022−2222−22−2222−2222−2222−222222−2222−22000000000000000000000000000000000000000000000000000000000000
χ9644-4-4-44-4400-44004-4000000000000−2222−222222−2222−2222−2222−22−2222−2222000000000000000000000000000000000000000000000000000000000000
χ974-4-444i−4i−4i4i000000004i−4i00004-40000000000004-4-444i−4i−4i4i000000000000000000000000000000000000000000000000000000000000
χ984-4-444i−4i−4i4i000000004i−4i00004-4000000000000-444-4−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ994-4-444i−4i−4i4i00000000−4i4i0000-4400004i−4i−4i4i4-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444i−4i−4i4i00000000−4i4i0000-440000−4i4i4i−4i-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44−4i4i4i−4i000000004i−4i0000-4400004i−4i−4i4i-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44−4i4i4i−4i000000004i−4i0000-440000−4i4i4i−4i4-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44−4i4i4i−4i00000000−4i4i00004-40000000000004-4-44−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000
χ1044-4-44−4i4i4i−4i00000000−4i4i00004-4000000000000-444-44i−4i−4i4i000000000000000000000000000000000000000000000000000000000000

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