Finite Group Databasebeta

← Group #227147

Character table — Group #227147

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888888888881616161616161616
order12224444444444448888888888888888244444444488888888888888888888888822448888888888888888888822448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-111111-1-1-1-111111111111111111-11-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111111-1-1-1-111111111111111111111-11-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-111111111-11-11-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11-11-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1-1-111
χ101111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1111111111111-11-1111-1-1
χ111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1
χ121111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111111-11-1-1-111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ171111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1-111-1-11ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-111-1-1i−ii−i11-1-111-1-1ii−i−iii−i−i-111-1i−ii−i
χ181111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1-1-1-1111ii−i−i−i−iiiii−i−iii−i−i1111-1-1-1-11-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii1-1-11−ii−ii
χ191111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-11111-1-11−i−iiiii−i−iii−i−iii−i−i1111-1-1-1-1-111-1−iii−i-1-11111-1-1−i−iiiii−i−i1-1-11−ii−ii
χ201111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-111-1-1111−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1-1-111−ii−ii-1-111-1-111−i−iii−i−iii-111-1i−ii−i
χ211111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1-111-1-11ii−i−i−i−iiiii−i−i−i−iii-1-1-1-1111111-1-1i−i−ii-1-111-1-111−i−iiiii−i−i-1-111i−i−ii
χ221111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1-1-1-1111ii−i−iii−i−iii−i−i−i−iii-1-1-1-111111-1-11i−ii−i-1-11111-1-1−i−iii−i−iii11-1-1−iii−i
χ231111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-11111-1-11−i−iii−i−iiiii−i−i−i−iii-1-1-1-11111-111-1−ii−ii11-1-1-1-111ii−i−iii−i−i11-1-1−iii−i
χ241111-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-111-1-1111−i−iiiii−i−iii−i−i−i−iii-1-1-1-11111-1-111−iii−i11-1-111-1-1ii−i−i−i−iii-1-111i−i−ii
χ251111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1-111-1-11−i−iiiii−i−i−i−iiiii−i−i-1-1-1-1111111-1-1−iii−i-1-111-1-111ii−i−i−i−iii-1-111−iii−i
χ261111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-1-1111−i−iii−i−iii−i−iiiii−i−i-1-1-1-111111-1-11−ii−ii-1-11111-1-1ii−i−iii−i−i11-1-1i−i−ii
χ271111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-11111-1-11ii−i−iii−i−i−i−iiiii−i−i-1-1-1-11111-111-1i−ii−i11-1-1-1-111−i−iii−i−iii11-1-1i−i−ii
χ281111-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-111-1-1111ii−i−i−i−iii−i−iiiii−i−i-1-1-1-11111-1-111i−i−ii11-1-111-1-1−i−iiiii−i−i-1-111−iii−i
χ291111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1-111-1-11−i−iii−i−iii−i−iii−i−iii1111-1-1-1-111-1-1−ii−ii11-1-111-1-1−i−iii−i−iii-111-1−ii−ii
χ301111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1-1-1-1111−i−iiiii−i−i−i−iii−i−iii1111-1-1-1-11-1-11−iii−i11-1-1-1-111−i−iiiii−i−i1-1-11i−ii−i
χ311111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-11111-1-11ii−i−i−i−iii−i−iii−i−iii1111-1-1-1-1-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii1-1-11i−ii−i
χ321111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-111-1-1111ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1-1-111i−ii−i-1-111-1-111ii−i−iii−i−i-111-1−ii−ii
χ332222222222-2-222-2-20000000022222222-200002222-2000022220000-2-2-2-2000000000-20-200-2-2000000000000000000000000
χ342222222222-2-222-2-20000000022222222-20000-2-2-2-2-20000-2-2-2-20000-2-2-2-20000000002020022000000000000000000000000
χ352222222222-2-222-2-200000000-2-2-2-2-2-2-2-2-200002222-20000-2-2-2-200002222000000000-20-20022000000000000000000000000
χ362222222222-2-222-2-200000000-2-2-2-2-2-2-2-2-20000-2-2-2-2-2000022220000222200000000020200-2-2000000000000000000000000
χ3722222222-2-222-2-2222222222200000000-222220000-222220000-2-2-2-2000000000000-20-20-2-200000000000000000000000000
χ3822222222-2-222-2-2222222222200000000-2-2-2-2-20000-2-2-2-2-20000-2-2-2-200000000000020202200000000000000000000000000
χ3922222222-2-222-2-222-2-2-2-2-2-2-2-200000000-222220000-2-2-2-2-200002222000000000000-20-202200000000000000000000000000
χ4022222222-2-222-2-222-2-2-2-2-2-2-2-200000000-2-2-2-2-20000-22222000022220000000000002020-2-200000000000000000000000000
χ412222-2-2-2-222-2-2-2-222000000002i2i2i2i−2i−2i−2i−2i2000022-2-2-200002i2i−2i−2i0000−2i−2i2i2i000000000-20200−2i2i000000000000000000000000
χ422222-2-2-2-222-2-2-2-222000000002i2i2i2i−2i−2i−2i−2i20000-2-222-20000−2i−2i2i2i0000−2i−2i2i2i00000000020-2002i−2i000000000000000000000000
χ432222-2-2-2-222-2-2-2-22200000000−2i−2i−2i−2i2i2i2i2i2000022-2-2-20000−2i−2i2i2i00002i2i−2i−2i000000000-202002i−2i000000000000000000000000
χ442222-2-2-2-222-2-2-2-22200000000−2i−2i−2i−2i2i2i2i2i20000-2-222-200002i2i−2i−2i00002i2i−2i−2i00000000020-200−2i2i000000000000000000000000
χ452222-2-2-2-2-2-22222-2-22i2i2i2i−2i−2i−2i−2i00000000222-2-20000-22i2i−2i−2i0000−2i−2i2i2i000000000000-2020−2i2i00000000000000000000000000
χ462222-2-2-2-2-2-22222-2-22i2i2i2i−2i−2i−2i−2i000000002-2-2220000-2−2i−2i2i2i0000−2i−2i2i2i00000000000020-202i−2i00000000000000000000000000
χ472222-2-2-2-2-2-22222-2-2−2i−2i−2i−2i2i2i2i2i00000000222-2-20000-2−2i−2i2i2i00002i2i−2i−2i000000000000-20202i−2i00000000000000000000000000
χ482222-2-2-2-2-2-22222-2-2−2i−2i−2i−2i2i2i2i2i000000002-2-2220000-22i2i−2i−2i00002i2i−2i−2i00000000000020-20−2i2i00000000000000000000000000
χ4922-2-22i−2i2i−2i002-2002i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ31−i1−i−1+i−1+i1+i1+i−1−i−1−i02i−2i2-2000002ζ3−2ζ32ζ−2ζ000000001−i−1+i1+i−1−ii2i2−i2−i222−2−2000000002−2i2−i200001+i−1−i1−i−1+i000000000000
χ5022-2-22i−2i2i−2i002-2002i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ31−i1−i−1+i−1+i1+i1+i−1−i−1−i0−2i2i-2200000−2ζ32ζ3−2ζ2ζ000000001−i−1+i1+i−1−ii2i2−i2−i222−2−200000000−22−i2i20000−1−i1+i−1+i1−i000000000000
χ5122-2-22i−2i2i−2i002-2002i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3−1+i−1+i1−i1−i−1−i−1−i1+i1+i02i−2i2-2000002ζ3−2ζ32ζ−2ζ00000000−1+i1−i−1−i1+i−i2−i2i2i2−2−22200000000−22−i2i20000−1−i1+i−1+i1−i000000000000
χ5222-2-22i−2i2i−2i002-2002i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3−1+i−1+i1−i1−i−1−i−1−i1+i1+i0−2i2i-2200000−2ζ32ζ3−2ζ2ζ00000000−1+i1−i−1−i1+i−i2−i2i2i2−2−222000000002−2i2−i200001+i−1−i1−i−1+i000000000000
χ5322-2-22i−2i2i−2i002-2002i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ31−i1−i−1+i−1+i1+i1+i−1−i−1−i02i−2i2-200000−2ζ32ζ3−2ζ2ζ000000001−i−1+i1+i−1−i−i2−i2i2i2−2−22200000000−22−i2i200001+i−1−i1−i−1+i000000000000
χ5422-2-22i−2i2i−2i002-2002i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ31−i1−i−1+i−1+i1+i1+i−1−i−1−i0−2i2i-22000002ζ3−2ζ32ζ−2ζ000000001−i−1+i1+i−1−i−i2−i2i2i2−2−222000000002−2i2−i20000−1−i1+i−1+i1−i000000000000
χ5522-2-22i−2i2i−2i002-2002i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−1+i−1+i1−i1−i−1−i−1−i1+i1+i02i−2i2-200000−2ζ32ζ3−2ζ2ζ00000000−1+i1−i−1−i1+ii2i2−i2−i222−2−2000000002−2i2−i20000−1−i1+i−1+i1−i000000000000
χ5622-2-22i−2i2i−2i002-2002i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3−1+i−1+i1−i1−i−1−i−1−i1+i1+i0−2i2i-22000002ζ3−2ζ32ζ−2ζ00000000−1+i1−i−1−i1+ii2i2−i2−i222−2−200000000−22−i2i200001+i−1−i1−i−1+i000000000000
χ5722-2-2−2i2i−2i2i002-200−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ1+i1+i−1−i−1−i1−i1−i−1+i−1+i02i−2i-2200000−2ζ2ζ−2ζ32ζ3000000001+i−1−i1−i−1+ii2i2−i2−i2−2−222000000002−2−i2i20000−1+i1−i−1−i1+i000000000000
χ5822-2-2−2i2i−2i2i002-200−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ1+i1+i−1−i−1−i1−i1−i−1+i−1+i0−2i2i2-2000002ζ−2ζ2ζ3−2ζ3000000001+i−1−i1−i−1+ii2i2−i2−i2−2−22200000000−22i2−i200001−i−1+i1+i−1−i000000000000
χ5922-2-2−2i2i−2i2i002-200−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ−1−i−1−i1+i1+i−1+i−1+i1−i1−i02i−2i-2200000−2ζ2ζ−2ζ32ζ300000000−1−i1+i−1+i1−i−i2−i2i2i222−2−200000000−22i2−i200001−i−1+i1+i−1−i000000000000
χ6022-2-2−2i2i−2i2i002-200−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ−1−i−1−i1+i1+i−1+i−1+i1−i1−i0−2i2i2-2000002ζ−2ζ2ζ3−2ζ300000000−1−i1+i−1+i1−i−i2−i2i2i222−2−2000000002−2−i2i20000−1+i1−i−1−i1+i000000000000
χ6122-2-2−2i2i−2i2i002-200−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ1+i1+i−1−i−1−i1−i1−i−1+i−1+i02i−2i-22000002ζ−2ζ2ζ3−2ζ3000000001+i−1−i1−i−1+i−i2−i2i2i222−2−200000000−22i2−i20000−1+i1−i−1−i1+i000000000000
χ6222-2-2−2i2i−2i2i002-200−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ1+i1+i−1−i−1−i1−i1−i−1+i−1+i0−2i2i2-200000−2ζ2ζ−2ζ32ζ3000000001+i−1−i1−i−1+i−i2−i2i2i222−2−2000000002−2−i2i200001−i−1+i1+i−1−i000000000000
χ6322-2-2−2i2i−2i2i002-200−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−1−i−1−i1+i1+i−1+i−1+i1−i1−i02i−2i-22000002ζ−2ζ2ζ3−2ζ300000000−1−i1+i−1+i1−ii2i2−i2−i2−2−222000000002−2−i2i200001−i−1+i1+i−1−i000000000000
χ6422-2-2−2i2i−2i2i002-200−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ−1−i−1−i1+i1+i−1+i−1+i1−i1−i0−2i2i2-200000−2ζ2ζ−2ζ32ζ300000000−1−i1+i−1+i1−ii2i2−i2−i2−2−22200000000−22i2−i20000−1+i1−i−1−i1+i000000000000
χ652-22-22i−2i−2i2i2-2002i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000002i−2i2-2000002ζ3−2ζ32ζ−2ζ1−i−1+i1+i−1−i0000i2−i2i2−i22−22−20000000000002−2i2−i200001+i−1−i1−i−1+i00000000
χ662-22-22i−2i−2i2i2-2002i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000−2i2i-2200000−2ζ32ζ3−2ζ2ζ1−i−1+i1+i−1−i0000i2−i2i2−i22−22−2000000000000−22−i2i20000−1−i1+i−1+i1−i00000000
χ672-22-22i−2i−2i2i2-2002i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000002i−2i2-200000−2ζ32ζ3−2ζ2ζ1−i−1+i1+i−1−i0000−i2i2−i2i2−22−22000000000000−22−i2i200001+i−1−i1−i−1+i00000000
χ682-22-22i−2i−2i2i2-2002i−2i001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000−2i2i-22000002ζ3−2ζ32ζ−2ζ1−i−1+i1+i−1−i0000−i2i2−i2i2−22−220000000000002−2i2−i20000−1−i1+i−1+i1−i00000000
χ692-22-22i−2i−2i2i2-2002i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000002i−2i2-2000002ζ3−2ζ32ζ−2ζ−1+i1−i−1−i1+i0000−i2i2−i2i2−22−22000000000000−22−i2i20000−1−i1+i−1+i1−i00000000
χ702-22-22i−2i−2i2i2-2002i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000−2i2i-2200000−2ζ32ζ3−2ζ2ζ−1+i1−i−1−i1+i0000−i2i2−i2i2−22−220000000000002−2i2−i200001+i−1−i1−i−1+i00000000
χ712-22-22i−2i−2i2i2-2002i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000002i−2i2-200000−2ζ32ζ3−2ζ2ζ−1+i1−i−1−i1+i0000i2−i2i2−i22−22−20000000000002−2i2−i20000−1−i1+i−1+i1−i00000000
χ722-22-22i−2i−2i2i2-2002i−2i00−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000−2i2i-22000002ζ3−2ζ32ζ−2ζ−1+i1−i−1−i1+i0000i2−i2i2−i22−22−2000000000000−22−i2i200001+i−1−i1−i−1+i00000000
χ732-22-2−2i2i2i−2i2-200−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000002i−2i-2200000−2ζ2ζ−2ζ32ζ31+i−1−i1−i−1+i0000i2−i2i2−i2−22−220000000000002−2−i2i20000−1+i1−i−1−i1+i00000000
χ742-22-2−2i2i2i−2i2-200−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00000−2i2i2-2000002ζ−2ζ2ζ3−2ζ31+i−1−i1−i−1+i0000i2−i2i2−i2−22−22000000000000−22i2−i200001−i−1+i1+i−1−i00000000
χ752-22-2−2i2i2i−2i2-200−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000002i−2i-22000002ζ−2ζ2ζ3−2ζ31+i−1−i1−i−1+i0000−i2i2−i2i22−22−2000000000000−22i2−i20000−1+i1−i−1−i1+i00000000
χ762-22-2−2i2i2i−2i2-200−2i2i001+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000−2i2i2-200000−2ζ2ζ−2ζ32ζ31+i−1−i1−i−1+i0000−i2i2−i2i22−22−20000000000002−2−i2i200001−i−1+i1+i−1−i00000000
χ772-22-2−2i2i2i−2i2-200−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000002i−2i-2200000−2ζ2ζ−2ζ32ζ3−1−i1+i−1+i1−i0000−i2i2−i2i22−22−2000000000000−22i2−i200001−i−1+i1+i−1−i00000000
χ782-22-2−2i2i2i−2i2-200−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00000−2i2i2-2000002ζ−2ζ2ζ3−2ζ3−1−i1+i−1+i1−i0000−i2i2−i2i22−22−20000000000002−2−i2i20000−1+i1−i−1−i1+i00000000
χ792-22-2−2i2i2i−2i2-200−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000002i−2i-22000002ζ−2ζ2ζ3−2ζ3−1−i1+i−1+i1−i0000i2−i2i2−i2−22−220000000000002−2−i2i200001−i−1+i1+i−1−i00000000
χ802-22-2−2i2i2i−2i2-200−2i2i00−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000−2i2i2-200000−2ζ2ζ−2ζ32ζ3−1−i1+i−1+i1−i0000i2−i2i2−i2−22−22000000000000−22i2−i20000−1+i1−i−1−i1+i00000000
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χ894-44-4−4i4i4i−4i-44004i−4i002+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i00000000000000000000000000−2−2i2+2i−2+2i2−2i00000000000000000000000000000000000000000000
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χ914-4-4444-4-4000000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000-222-2-222-200000000000000000000000000000000
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χ934-4-4444-4-400000000−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000002-2-222-2-2200000000000000000000000000000000
χ944-4-4444-4-400000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000-222-2-222-200000000000000000000000000000000
χ954-4-44-4-4440000000022−22−2222−222222−2222−22−2222−222222−2200000000000000000000000000-222-22-2-2200000000000000000000000000000000
χ964-4-44-4-4440000000022−22−2222−222222−22−222222−2222−22−2222000000000000000000000000002-2-22-222-200000000000000000000000000000000
χ974-4-44-4-44400000000−222222−2222−22−222222−22−2222−222222−22000000000000000000000000002-2-22-222-200000000000000000000000000000000
χ984-4-44-4-44400000000−222222−2222−22−2222−222222−2222−22−222200000000000000000000000000-222-22-2-2200000000000000000000000000000000

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