Finite Group Databasebeta

← Group #13017136

Character table — Group #13017136

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1111222244444444444445555555555558888881010101010101010101010101616161616161616162020202020202020202020202020202020202020202020202020203232404040404040
order12224444458888888810101044448888888822202020204444888888882040404040404040402888888888888888888888888881010448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1iiii−i−i−i−i111111111-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i
χ4111111111111111111111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−iiiii111111111-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii
χ511111111111111-1-1-1-1111111111111111-1-1111111111111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ711111111111111-1-1-1-1111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1iiii−i−i−i−i11111-1-1-1-1-1-1-1-1-11111i−iiiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii
χ811111111111111-1-1-1-1111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1−i−i−i−iiiii11111-1-1-1-1-1-1-1-1-11111−ii−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i
χ91111111111-1-1-1-11111111111111111111-1-111111111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ101111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ111111111111-1-1-1-11111111-1-1-1-1iiii−i−i−i−i-1-11111-1-1-1-1iiii−i−i−i−i1-1-1-1-11111-11111-1-1-1-1i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii
χ121111111111-1-1-1-11111111-1-1-1-1−i−i−i−iiiii-1-11111-1-1-1-1−i−i−i−iiiii1-1-1-1-11111-11111-1-1-1-1−iiiiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i
χ131111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ141111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ151111111111-1-1-1-1-1-1-1-1111-1-1-1-1iiii−i−i−i−i111111-1-1-1-1iiii−i−i−i−i1-1-1-1-1-1-1-1-1-111111111i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i
χ161111111111-1-1-1-1-1-1-1-1111-1-1-1-1−i−i−i−iiiii111111-1-1-1-1−i−i−i−iiiii1-1-1-1-1-1-1-1-1-111111111−iiiiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii
χ171111-1-1-1-111ii−i−iii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11ii−i−iii−i−i1ii−i−iii−i−i11ii−i−iii−i−iii−i−iii−i−i1-11-11-11-1
χ181111-1-1-1-111ii−i−iii−i−i1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111111ii−i−iii−i−i1ii−i−iii−i−i-1-1−i−iii−i−iii−i−iii−i−iii1-11-1-11-11
χ191111-1-1-1-111ii−i−iii−i−i111-1-1-1-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii1ii−i−iii−i−i-1−i−iii−i−iiii−i-1-111-1-11111-1-111-1-11-1-11i−i−ii
χ201111-1-1-1-111ii−i−iii−i−i111-1-1-1-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i1ii−i−iii−i−i-1−i−iii−i−iii−ii11-1-111-1-1-1-111-1-1111-1-11−iii−i
χ211111-1-1-1-111ii−i−i−i−iii111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11ii−i−i−i−iii1ii−i−i−i−iii11ii−i−i−i−iiiii−i−i−i−iii-11-11-11-11
χ221111-1-1-1-111ii−i−i−i−iii1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111ii−i−i−i−iii1ii−i−i−i−iii-1-1−i−iiiii−i−i−i−iiiii−i−i-11-111-11-1
χ231111-1-1-1-111ii−i−i−i−iii111-1-1-1-1iiii−i−i−i−i-11-1-1-1-11111−i−i−i−iiiii1ii−i−i−i−iii-1−i−iiiii−i−ii−i-1-11111-1-111-1-1-1-111-111-1−iii−i
χ241111-1-1-1-111ii−i−i−i−iii111-1-1-1-1−i−i−i−iiiii-11-1-1-1-11111iiii−i−i−i−i1ii−i−i−i−iii-1−i−iiiii−i−i−ii11-1-1-1-111-1-11111-1-1-111-1i−i−ii
χ251111-1-1-1-111−i−iiiii−i−i111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i−iiiii−i−i1−i−iiiii−i−i11−i−iiiii−i−i−i−iiiii−i−i-11-11-11-11
χ261111-1-1-1-111−i−iiiii−i−i1111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111−i−iiiii−i−i1−i−iiiii−i−i-1-1ii−i−i−i−iiiii−i−i−i−iii-11-111-11-1
χ271111-1-1-1-111−i−iiiii−i−i111-1-1-1-1iiii−i−i−i−i-11-1-1-1-11111−i−i−i−iiiii1−i−iiiii−i−i-1ii−i−i−i−iiii−i11-1-1-1-111-1-11111-1-1-111-1−iii−i
χ281111-1-1-1-111−i−iiiii−i−i111-1-1-1-1−i−i−i−iiiii-11-1-1-1-11111iiii−i−i−i−i1−i−iiiii−i−i-1ii−i−i−i−iii−ii-1-11111-1-111-1-1-1-111-111-1i−i−ii
χ291111-1-1-1-111−i−iii−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−i−iii−i−iii1−i−iii−i−iii11−i−iii−i−iii−i−iii−i−iii1-11-11-11-1
χ301111-1-1-1-111−i−iii−i−iii1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111111−i−iii−i−iii1−i−iii−i−iii-1-1ii−i−iii−i−iii−i−iii−i−i1-11-1-11-11
χ311111-1-1-1-111−i−iii−i−iii111-1-1-1-1iiii−i−i−i−i1-1-1-1-1-11111−i−i−i−iiiii1−i−iii−i−iii-1ii−i−iii−i−ii−i11-1-111-1-1-1-111-1-1111-1-11i−i−ii
χ321111-1-1-1-111−i−iii−i−iii111-1-1-1-1−i−i−i−iiiii1-1-1-1-1-11111iiii−i−i−i−i1−i−iii−i−iii-1ii−i−iii−i−i−ii-1-111-1-11111-1-111-1-11-1-11−iii−i
χ3322222-22-2-2200000000222222222222222002-22-222-2-222-2-222-2-2-200000000-200000000-2-2000000000000000000000000
χ3422222-22-2-22000000002222222-2-2-2-2-2-2-2-2002-22-222-2-2-2-222-2-222-200000000-20000000022000000000000000000000000
χ3522222-22-2-2200000000222-2-2-2-22i2i2i2i−2i−2i−2i−2i002-22-2-2-2222i2i−2i−2i−2i−2i2i2i-200000000200000000−2i2i000000000000000000000000
χ3622222-22-2-2200000000222-2-2-2-2−2i−2i−2i−2i2i2i2i2i002-22-2-2-222−2i−2i2i2i2i2i−2i−2i-2000000002000000002i−2i000000000000000000000000
χ372222-22-22-220000000022222222222222200-22-22-2-222-2-222-2-222-200000000-200000000-2-2000000000000000000000000
χ382222-22-22-22000000002222222-2-2-2-2-2-2-2-200-22-22-2-22222-2-222-2-2-200000000-20000000022000000000000000000000000
χ392222-22-22-2200000000222-2-2-2-22i2i2i2i−2i−2i−2i−2i00-22-2222-2-2−2i−2i2i2i2i2i−2i−2i-200000000200000000−2i2i000000000000000000000000
χ402222-22-22-2200000000222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00-22-2222-2-22i2i−2i−2i−2i−2i2i2i-2000000002000000002i−2i000000000000000000000000
χ4122-2-2020-2022−22−200002-2-22i−2i2i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000-202002i−2i002ζ−2ζ002ζ3−2ζ302−22−200000i2−i2i2−i20000001+i−1−i1+i−1−i00001−i−1+i1−i−1+i000000000000
χ4222-2-2020-2022−22−200002-2-22i−2i2i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000-202002i−2i00−2ζ2ζ00−2ζ32ζ302−22−200000i2−i2i2−i2000000−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i000000000000
χ4322-2-2020-2022−22−200002-2-2−2i2i−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000-20200−2i2i002ζ3−2ζ3002ζ−2ζ02−22−200000−i2i2−i2i2000000−1+i1−i−1+i1−i0000−1−i1+i−1−i1+i000000000000
χ4422-2-2020-2022−22−200002-2-2−2i2i−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000-20200−2i2i00−2ζ32ζ300−2ζ2ζ02−22−200000−i2i2−i2i20000001−i−1+i1−i−1+i00001+i−1−i1+i−1−i000000000000
χ4522-2-2020-202−22−2200002-2-22i−2i2i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ3000-202002i−2i002ζ−2ζ002ζ3−2ζ30−22−2200000−i2i2−i2i2000000−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i000000000000
χ4622-2-2020-202−22−2200002-2-22i−2i2i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000-202002i−2i00−2ζ2ζ00−2ζ32ζ30−22−2200000−i2i2−i2i20000001+i−1−i1+i−1−i00001−i−1+i1−i−1+i000000000000
χ4722-2-2020-202−22−2200002-2-2−2i2i−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ000-20200−2i2i002ζ3−2ζ3002ζ−2ζ0−22−2200000i2−i2i2−i20000001−i−1+i1−i−1+i00001+i−1−i1+i−1−i000000000000
χ4822-2-2020-202−22−2200002-2-2−2i2i−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000-20200−2i2i00−2ζ32ζ300−2ζ2ζ0−22−2200000i2−i2i2−i2000000−1+i1−i−1+i1−i0000−1−i1+i−1−i1+i000000000000
χ4922-2-20-20202i2−i2−i2i200002-2-22i−2i2i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300020-200−2i2i00−2ζ2ζ00−2ζ32ζ30i2−i2−i2i200000−222−2000000−1+i1−i1−i−1+i00001+i−1−i−1−i1+i000000000000
χ5022-2-20-20202i2−i2−i2i200002-2-22i−2i2i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ300020-200−2i2i002ζ−2ζ002ζ3−2ζ30i2−i2−i2i200000−222−20000001−i−1+i−1+i1−i0000−1−i1+i1+i−1−i000000000000
χ5122-2-20-20202i2−i2−i2i200002-2-2−2i2i−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00020-2002i−2i00−2ζ32ζ300−2ζ2ζ0i2−i2−i2i2000002−2−22000000−1−i1+i1+i−1−i00001−i−1+i−1+i1−i000000000000
χ5222-2-20-20202i2−i2−i2i200002-2-2−2i2i−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00020-2002i−2i002ζ3−2ζ3002ζ−2ζ0i2−i2−i2i2000002−2−220000001+i−1−i−1−i1+i0000−1+i1−i1−i−1+i000000000000
χ5322-2-20-20202−i2i2i2−i200002-2-22i−2i2i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300020-200−2i2i00−2ζ2ζ00−2ζ32ζ30−i2i2i2−i2000002−2−220000001−i−1+i−1+i1−i0000−1−i1+i1+i−1−i000000000000
χ5422-2-20-20202−i2i2i2−i200002-2-22i−2i2i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ300020-200−2i2i002ζ−2ζ002ζ3−2ζ30−i2i2i2−i2000002−2−22000000−1+i1−i1−i−1+i00001+i−1−i−1−i1+i000000000000
χ5522-2-20-20202−i2i2i2−i200002-2-2−2i2i−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00020-2002i−2i00−2ζ32ζ300−2ζ2ζ0−i2i2i2−i200000−222−20000001+i−1−i−1−i1+i0000−1+i1−i1−i−1+i000000000000
χ5622-2-20-20202−i2i2i2−i200002-2-2−2i2i−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ00020-2002i−2i002ζ3−2ζ3002ζ−2ζ0−i2i2i2−i200000−222−2000000−1−i1+i1+i−1−i00001−i−1+i−1+i1−i000000000000
χ572-22-220-200200002−22−2-22-22i−2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00-20202i−2i002ζ3−2ζ3002ζ−2ζ00000002−22−200000i2−i2i2−i20000001−i−1+i1−i−1+i00001+i−1−i1+i−1−i00000000
χ582-22-220-200200002−22−2-22-22i−2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00-20202i−2i00−2ζ32ζ300−2ζ2ζ00000002−22−200000i2−i2i2−i2000000−1+i1−i−1+i1−i0000−1−i1+i−1−i1+i00000000
χ592-22-220-200200002−22−2-22-2−2i2i2i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300-2020−2i2i002ζ−2ζ002ζ3−2ζ300000002−22−200000−i2i2−i2i2000000−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i00000000
χ602-22-220-200200002−22−2-22-2−2i2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300-2020−2i2i00−2ζ2ζ00−2ζ32ζ300000002−22−200000−i2i2−i2i20000001+i−1−i1+i−1−i00001−i−1+i1−i−1+i00000000
χ612-22-220-20020000−22−22-22-22i−2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00-20202i−2i002ζ3−2ζ3002ζ−2ζ0000000−22−2200000−i2i2−i2i2000000−1+i1−i−1+i1−i0000−1−i1+i−1−i1+i00000000
χ622-22-220-20020000−22−22-22-22i−2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00-20202i−2i00−2ζ32ζ300−2ζ2ζ0000000−22−2200000−i2i2−i2i20000001−i−1+i1−i−1+i00001+i−1−i1+i−1−i00000000
χ632-22-220-20020000−22−22-22-2−2i2i2i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300-2020−2i2i002ζ−2ζ002ζ3−2ζ30000000−22−2200000i2−i2i2−i20000001+i−1−i1+i−1−i00001−i−1+i1−i−1+i00000000
χ642-22-220-20020000−22−22-22-2−2i2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300-2020−2i2i00−2ζ2ζ00−2ζ32ζ30000000−22−2200000i2−i2i2−i2000000−1−i1+i−1−i1+i0000−1+i1−i−1+i1−i00000000
χ652-22-2-2020020000i2−i2−i2i2-22-22i−2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0020-20−2i2i00−2ζ32ζ300−2ζ2ζ0000000i2−i2−i2i200000−222−20000001+i−1−i−1−i1+i0000−1+i1−i1−i−1+i00000000
χ662-22-2-2020020000i2−i2−i2i2-22-22i−2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0020-20−2i2i002ζ3−2ζ3002ζ−2ζ0000000i2−i2−i2i200000−222−2000000−1−i1+i1+i−1−i00001−i−1+i−1+i1−i00000000
χ672-22-2-2020020000i2−i2−i2i2-22-2−2i2i2i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30020-202i−2i00−2ζ2ζ00−2ζ32ζ30000000i2−i2−i2i2000002−2−220000001−i−1+i−1+i1−i0000−1−i1+i1+i−1−i00000000
χ682-22-2-2020020000i2−i2−i2i2-22-2−2i2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30020-202i−2i002ζ−2ζ002ζ3−2ζ30000000i2−i2−i2i2000002−2−22000000−1+i1−i1−i−1+i00001+i−1−i−1−i1+i00000000
χ692-22-2-2020020000−i2i2i2−i2-22-22i−2i−2i2i2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0020-20−2i2i00−2ζ32ζ300−2ζ2ζ0000000−i2i2i2−i2000002−2−22000000−1−i1+i1+i−1−i00001−i−1+i−1+i1−i00000000
χ702-22-2-2020020000−i2i2i2−i2-22-22i−2i−2i2i−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0020-20−2i2i002ζ3−2ζ3002ζ−2ζ0000000−i2i2i2−i2000002−2−220000001+i−1−i−1−i1+i0000−1+i1−i1−i−1+i00000000
χ712-22-2-2020020000−i2i2i2−i2-22-2−2i2i2i−2i2ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30020-202i−2i00−2ζ2ζ00−2ζ32ζ30000000−i2i2i2−i200000−222−2000000−1+i1−i1−i−1+i00001+i−1−i−1−i1+i00000000
χ722-22-2-2020020000−i2i2i2−i2-22-2−2i2i2i−2i−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30020-202i−2i002ζ−2ζ002ζ3−2ζ30000000−i2i2i2−i200000−222−20000001−i−1+i−1+i1−i0000−1−i1+i1+i−1−i00000000
χ73444444444-144444444-1-1-100000000000044-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1000000000000000000000000000-1-1000000
χ74444444444-14444-4-4-4-4-1-1-1000000000000-4-4-1-1-1-1000000000000-1-1-1-1-1111100000000000000000000000000011000000
χ75444444444-1-4-4-4-44444-1-1-1000000000000-4-4-1-1-1-1000000000000-11111-1-1-1-100000000000000000000000000011000000
χ76444444444-1-4-4-4-4-4-4-4-4-1-1-100000000000044-1-1-1-1000000000000-111111111000000000000000000000000000-1-1000000
χ774444-4-4-4-44-14i4i−4i−4i4i4i−4i−4i-1-1-10000000000004-41111000000000000-1−i−iii−i−iii000000000000000000000000000-11000000
χ784444-4-4-4-44-14i4i−4i−4i−4i−4i4i4i-1-1-1000000000000-441111000000000000-1−i−iiiii−i−i0000000000000000000000000001-1000000
χ794444-4-4-4-44-1−4i−4i4i4i4i4i−4i−4i-1-1-1000000000000-441111000000000000-1ii−i−i−i−iii0000000000000000000000000001-1000000
χ804444-4-4-4-44-1−4i−4i4i4i−4i−4i4i4i-1-1-10000000000004-41111000000000000-1ii−i−iii−i−i000000000000000000000000000-11000000
χ814-4-4400000400000000-4-4444-4-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000
χ824-4-4400000400000000-4-4444-4-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000
χ834-4-4400000400000000-4-44-4-4444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000
χ844-4-4400000400000000-4-44-4-444-444-4-444-400000000000000000000000000000000000000000000000000000000000000
χ8588888-88-8-8-200000000-2-2-200000000000000-22-2200000000000020000000000000000000000000000000000000000000
χ868888-88-88-8-200000000-2-2-2000000000000002-22-200000000000020000000000000000000000000000000000000000000
χ8788-8-8080-80-242−4242−420000-22200000000000000020-20000000000000−22−22000000000000000000000000000000000000000
χ8888-8-8080-80-2−4242−42420000-22200000000000000020-200000000000002−22−2000000000000000000000000000000000000000
χ8988-8-80-8080-24i2−4i2−4i24i20000-222000000000000000-2020000000000000−i2i2i2−i2000000000000000000000000000000000000000
χ9088-8-80-8080-2−4i24i24i2−4i20000-222000000000000000-2020000000000000i2−i2−i2i2000000000000000000000000000000000000000
χ918-88-880-800-2000042−4242−422-220000000000000020-2000000000000000000−22−2200000000000000000000000000000000000
χ928-88-880-800-20000−4242−42422-220000000000000020-20000000000000000002−22−200000000000000000000000000000000000
χ938-88-8-80800-200004i2−4i2−4i24i22-2200000000000000-202000000000000000000−i2i2i2−i200000000000000000000000000000000000
χ948-88-8-80800-20000−4i24i24i2−4i22-2200000000000000-202000000000000000000i2−i2−i2i200000000000000000000000000000000000
χ9516-16-161600000-40000000044-400000000000000000000000000000000000000000000000000000000000000000000000000

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