Finite Group Databasebeta

← Group #210262

Character table — Group #210262

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12224444888888882244444488888888444444444488888888888888888888888888222444444444888888888888888888882488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-11111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-1
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1111111-1-1-1-11111-1-1-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-111-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ171111-1-1-1-1iiii−i−i−i−i-1-1111-1-11ii−i−iii−i−i11-1-111-1-11-1i−iii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−ii−ii−iii−i−iii−i−i11-1-111-1-11-1i−i
χ181111-1-1-1-1iiii−i−i−i−i-1-1111-1-11ii−i−iii−i−i11-1-111-1-11-1i−iii−i−iii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−iiii−ii−iii−i−i−i−iii-1-111-1-111-11−ii
χ191111-1-1-1-1iiii−i−i−i−i-1-1111-1-11ii−i−iii−i−i11-1-1-1-1111-1i−iii−i−i−i−iiiiiii−i−i−i−i1111-1-1-1-11-1-1-11-111−i−iii−iii−i−i−iiiii−i−i11-1-1-1-111-11−ii
χ201111-1-1-1-1iiii−i−i−i−i-1-1111-1-11ii−i−iii−i−i11-1-1-1-1111-1i−iii−i−i−i−iii−i−i−i−iiiii-1-1-1-111111-1-1-11-111ii−i−i−iii−i−i−iii−i−iii-1-11111-1-11-1i−i
χ211111-1-1-1-1iiii−i−i−i−i-1-1111-1-11ii−i−iii−i−i-1-11111-1-11-1i−i−i−iiiii−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-11-1111ii−i−ii−i−ii−i−iii−i−iii-1-11111-1-1-11−ii
χ221111-1-1-1-1iiii−i−i−i−i-1-1111-1-11ii−i−iii−i−i-1-11111-1-11-1i−i−i−iiiii−i−i−i−i−i−iiiii-1-1-1-11111-1-1-11-1111−i−iiii−i−ii−i−iiiii−i−i11-1-1-1-1111-1i−i
χ231111-1-1-1-1iiii−i−i−i−i-1-1111-1-11ii−i−iii−i−i-1-111-1-1111-1i−i−i−iii−i−iiiiiii−i−i−i−i1111-1-1-1-1-111-111-1-1−i−iii−ii−iiii−i−i−i−iii-1-111-1-1111-1i−i
χ241111-1-1-1-1iiii−i−i−i−i-1-1111-1-11ii−i−iii−i−i-1-111-1-1111-1i−i−i−iii−i−iii−i−i−i−iiiii-1-1-1-11111-111-111-1-1ii−i−i−ii−iiii−i−iii−i−i11-1-111-1-1-11−ii
χ251111-1-1-1-1−i−i−i−iiiii-1-1111-1-11−i−iii−i−iii11-1-111-1-11-1−ii−i−iii−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i−ii−ii−i−iiiii−i−i-1-111-1-111-11i−i
χ261111-1-1-1-1−i−i−i−iiiii-1-1111-1-11−i−iii−i−iii11-1-111-1-11-1−ii−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−ii−ii−i−iii−i−iii11-1-111-1-11-1−ii
χ271111-1-1-1-1−i−i−i−iiiii-1-1111-1-11−i−iii−i−iii11-1-1-1-1111-1−ii−i−iiiii−i−iiiii−i−i−i−i-1-1-1-111111-1-1-11-111−i−iiii−i−iiii−i−iii−i−i-1-11111-1-11-1−ii
χ281111-1-1-1-1−i−i−i−iiiii-1-1111-1-11−i−iii−i−iii11-1-1-1-1111-1−ii−i−iiiii−i−i−i−i−i−iiiii1111-1-1-1-11-1-1-11-111ii−i−ii−i−iiii−i−i−i−iii11-1-1-1-111-11i−i
χ291111-1-1-1-1−i−i−i−iiiii-1-1111-1-11−i−iii−i−iii-1-11111-1-11-1−iiii−i−i−i−iiiiiii−i−i−i−i-1-1-1-11111-1-1-11-1111ii−i−i−iii−iii−i−i−i−iii11-1-1-1-1111-1−ii
χ301111-1-1-1-1−i−i−i−iiiii-1-1111-1-11−i−iii−i−iii-1-11111-1-11-1−iiii−i−i−i−iii−i−i−i−iiiii1111-1-1-1-1-1-1-11-1111−i−iii−iii−iii−i−iii−i−i-1-11111-1-1-11i−i
χ311111-1-1-1-1−i−i−i−iiiii-1-1111-1-11−i−iii−i−iii-1-111-1-1111-1−iiii−i−iii−i−iiiii−i−i−i−i-1-1-1-11111-111-111-1-1−i−iiii−ii−i−i−iii−i−iii11-1-111-1-1-11i−i
χ321111-1-1-1-1−i−i−i−iiiii-1-1111-1-11−i−iii−i−iii-1-111-1-1111-1−iiii−i−iii−i−i−i−i−i−iiiii1111-1-1-1-1-111-111-1-1ii−i−ii−ii−i−i−iiiii−i−i-1-111-1-1111-1−ii
χ332222222222222222222-2-2-2-22-2-2-2-2222222220000-2-2-2-2222200000000000000000000-20000-200000000-2-200000000000000000000
χ342222222222222222222-2-2-2-22-2-2-2-22222-2-2-2-20000-2-2-2-2-2-2-2-200000000000000000000200002000000002200000000000000000000
χ352222222222222222-2-2-22222-22222-2-2-2-200002222-2-2-2-2000022220000000000000000000-2-20000000-2-20000000000000000000000
χ362222222222222222-2-2-22222-22222-2-2-2-20000-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000220000000220000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000000002-20002-2000000002-22-20000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022220000000000000000000000000-22000-2200000000-22-220000000000000000
χ3922222222-2-2-2-2-2-2-2-2222-2-2-2-222222-2-2-2-222220000-2-222-2-2-2-200000000000000000000-20000-2000000002200000000000000000000
χ4022222222-2-2-2-2-2-2-2-2222-2-2-2-222222-2-2-2-2-2-2-2-20000-2-22222220000000000000000000020000200000000-2-200000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2222200002222-2-2220000-2-2-2-20000000000000000000-2-20000000220000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-222220000-2-2-2-2-2-222000022220000000000000000000220000000-2-20000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000022-2-200000000000000000000000002-20002-200000000-22-220000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000022-2-20000000000000000000000000-22000-22000000002-22-20000000000000000
χ452222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-222-2-2-22i2i−2i−2i−2i−2i2i2i000022-2-2-22−2i2i00002i2i−2i−2i0000000000000000000-220000000−2i2i0000000000000000000000
χ462222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-222-2-2-22i2i−2i−2i−2i−2i2i2i0000-2-222-22−2i2i0000−2i−2i2i2i00000000000000000002-200000002i−2i0000000000000000000000
χ472222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-2-222-2−2i−2i2i2i−2i−2i2i2i000000002-22i−2i00000000000000000000000002-2000-22000000002i−2i−2i2i0000000000000000
χ482222-2-2-2-22i2i2i2i−2i−2i−2i−2i22-2-2-222-2−2i−2i2i2i−2i−2i2i2i000000002-22i−2i0000000000000000000000000-220002-200000000−2i2i2i−2i0000000000000000
χ492222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22-2-2222−2i−2i2i2i2i2i−2i−2i22-2-20000-22−2i2i2i2i−2i−2i00000000000000000000-20000200000000−2i2i00000000000000000000
χ502222-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-22-2-2222−2i−2i2i2i2i2i−2i−2i-2-2220000-22−2i2i−2i−2i2i2i0000000000000000000020000-2000000002i−2i00000000000000000000
χ512222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-222-2-2-2−2i−2i2i2i2i2i−2i−2i000022-2-2-222i−2i0000−2i−2i2i2i0000000000000000000-2200000002i−2i0000000000000000000000
χ522222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-222-2-2-2−2i−2i2i2i2i2i−2i−2i0000-2-222-222i−2i00002i2i−2i−2i00000000000000000002-20000000−2i2i0000000000000000000000
χ532222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-2-222-22i2i−2i−2i2i2i−2i−2i000000002-2−2i2i00000000000000000000000002-2000-2200000000−2i2i2i−2i0000000000000000
χ542222-2-2-2-2−2i−2i−2i−2i2i2i2i2i22-2-2-222-22i2i−2i−2i2i2i−2i−2i000000002-2−2i2i0000000000000000000000000-220002-2000000002i−2i−2i2i0000000000000000
χ552222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-22-2-22222i2i−2i−2i−2i−2i2i2i22-2-20000-222i−2i−2i−2i2i2i00000000000000000000-200002000000002i−2i00000000000000000000
χ562222-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-22-2-22222i2i−2i−2i−2i−2i2i2i-2-2220000-222i−2i2i2i−2i−2i0000000000000000000020000-200000000−2i2i00000000000000000000
χ5722-2-22i−2i2i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ30002-22i−2i02ζ−2ζ2ζ3−2ζ3000000002-22i−2i000000002ζ−2ζ2ζ3−2ζ31+i1+i−1−i−1−i1−i1−i−1+i−1+i22−2−2i2i2−i2−i2000000001+i−1−i1−i−1+i00000000000000002−2i2−i20000
χ5822-2-22i−2i2i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ30002-22i−2i02ζ−2ζ2ζ3−2ζ3000000002-22i−2i000000002ζ−2ζ2ζ3−2ζ3−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2−222−i2−i2i2i200000000−1−i1+i−1+i1−i0000000000000000−22−i2i20000
χ5922-2-22i−2i2i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ30002-22i−2i02ζ−2ζ2ζ3−2ζ300000000-22−2i2i00000000−2ζ2ζ−2ζ32ζ31+i1+i−1−i−1−i1−i1−i−1+i−1+i22−2−2i2i2−i2−i200000000−1−i1+i−1+i1−i0000000000000000−22−i2i20000
χ6022-2-22i−2i2i−2i2ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ30002-22i−2i02ζ−2ζ2ζ3−2ζ300000000-22−2i2i00000000−2ζ2ζ−2ζ32ζ3−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2−222−i2−i2i2i2000000001+i−1−i1−i−1+i00000000000000002−2i2−i20000
χ6122-2-22i−2i2i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ30002-22i−2i0−2ζ2ζ−2ζ32ζ3000000002-22i−2i00000000−2ζ2ζ−2ζ32ζ31+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222−i2−i2i2i2000000001+i−1−i1−i−1+i0000000000000000−22−i2i20000
χ6222-2-22i−2i2i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ30002-22i−2i0−2ζ2ζ−2ζ32ζ3000000002-22i−2i00000000−2ζ2ζ−2ζ32ζ3−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2i2i2−i2−i200000000−1−i1+i−1+i1−i00000000000000002−2i2−i20000
χ6322-2-22i−2i2i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ30002-22i−2i0−2ζ2ζ−2ζ32ζ300000000-22−2i2i000000002ζ−2ζ2ζ3−2ζ31+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222−i2−i2i2i200000000−1−i1+i−1+i1−i00000000000000002−2i2−i20000
χ6422-2-22i−2i2i−2i−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ30002-22i−2i0−2ζ2ζ−2ζ32ζ300000000-22−2i2i000000002ζ−2ζ2ζ3−2ζ3−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2i2i2−i2−i2000000001+i−1−i1−i−1+i0000000000000000−22−i2i20000
χ6522-2-2−2i2i−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ0002-2−2i2i02ζ3−2ζ32ζ−2ζ000000002-2−2i2i000000002ζ3−2ζ32ζ−2ζ1−i1−i−1+i−1+i1+i1+i−1−i−1−i−2−222i2i2−i2−i2000000001−i−1+i1+i−1−i0000000000000000−22i2−i20000
χ6622-2-2−2i2i−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ0002-2−2i2i02ζ3−2ζ32ζ−2ζ000000002-2−2i2i000000002ζ3−2ζ32ζ−2ζ−1+i−1+i1−i1−i−1−i−1−i1+i1+i22−2−2−i2−i2i2i200000000−1+i1−i−1−i1+i00000000000000002−2−i2i20000
χ6722-2-2−2i2i−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ0002-2−2i2i02ζ3−2ζ32ζ−2ζ00000000-222i−2i00000000−2ζ32ζ3−2ζ2ζ1−i1−i−1+i−1+i1+i1+i−1−i−1−i−2−222i2i2−i2−i200000000−1+i1−i−1−i1+i00000000000000002−2−i2i20000
χ6822-2-2−2i2i−2i2i2ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ0002-2−2i2i02ζ3−2ζ32ζ−2ζ00000000-222i−2i00000000−2ζ32ζ3−2ζ2ζ−1+i−1+i1−i1−i−1−i−1−i1+i1+i22−2−2−i2−i2i2i2000000001−i−1+i1+i−1−i0000000000000000−22i2−i20000
χ6922-2-2−2i2i−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ0002-2−2i2i0−2ζ32ζ3−2ζ2ζ000000002-2−2i2i00000000−2ζ32ζ3−2ζ2ζ1−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2−i2−i2i2i2000000001−i−1+i1+i−1−i00000000000000002−2−i2i20000
χ7022-2-2−2i2i−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ0002-2−2i2i0−2ζ32ζ3−2ζ2ζ000000002-2−2i2i00000000−2ζ32ζ3−2ζ2ζ−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2−222i2i2−i2−i200000000−1+i1−i−1−i1+i0000000000000000−22i2−i20000
χ7122-2-2−2i2i−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ0002-2−2i2i0−2ζ32ζ3−2ζ2ζ00000000-222i−2i000000002ζ3−2ζ32ζ−2ζ1−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2−i2−i2i2i200000000−1+i1−i−1−i1+i0000000000000000−22i2−i20000
χ7222-2-2−2i2i−2i2i−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ0002-2−2i2i0−2ζ32ζ3−2ζ2ζ00000000-222i−2i000000002ζ3−2ζ32ζ−2ζ−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2−222i2i2−i2−i2000000001−i−1+i1+i−1−i00000000000000002−2−i2i20000
χ732-2-2222-2-22i−2i2i−2i2i−2i2i−2i-2220000-200002i−2i2i−2i2i−2i2i−2i000000002-22-20000i2−i2i2−i2i2−i2i2−i22−22−22−22−2000000000000000000002−22−2i2−i2i2−i200000000
χ742-2-2222-2-22i−2i2i−2i2i−2i2i−2i-2220000-200002i−2i2i−2i2i−2i2i−2i000000002-22-20000−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000000000000000−22−22−i2i2−i2i200000000
χ752-2-2222-2-22i−2i2i−2i2i−2i2i−2i-2220000-200002i−2i2i−2i−2i2i−2i2i00000000-22-220000i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000000000000000−22−22−i2i2−i2i200000000
χ762-2-2222-2-22i−2i2i−2i2i−2i2i−2i-2220000-200002i−2i2i−2i−2i2i−2i2i00000000-22-220000−i2i2−i2i2−i2i2−i2i2−22−22−22−22000000000000000000002−22−2i2−i2i2−i200000000
χ772-2-2222-2-2−2i2i−2i2i−2i2i−2i2i-2220000-20000−2i2i−2i2i2i−2i2i−2i00000000-22-220000i2−i2i2−i2i2−i2i2−i2−22−22−22−22000000000000000000002−22−2−i2i2−i2i200000000
χ782-2-2222-2-2−2i2i−2i2i−2i2i−2i2i-2220000-20000−2i2i−2i2i2i−2i2i−2i00000000-22-220000−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000000000000000−22−22i2−i2i2−i200000000
χ792-2-2222-2-2−2i2i−2i2i−2i2i−2i2i-2220000-20000−2i2i−2i2i−2i2i−2i2i000000002-22-20000i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000000000000000−22−22i2−i2i2−i200000000
χ802-2-2222-2-2−2i2i−2i2i−2i2i−2i2i-2220000-20000−2i2i−2i2i−2i2i−2i2i000000002-22-20000−i2i2−i2i2−i2i2−i2i22−22−22−22−2000000000000000000002−22−2−i2i2−i2i200000000
χ812-2-22-2-2222-22-2-22-222-220000-200002-2-222i−2i−2i2i00000000−2i2i2i−2i00002−22−2−22−222−22−2−22−2200000000000000000000−i2i2i2−i2i2−i2−i2i200000000
χ822-2-22-2-2222-22-2-22-222-220000-200002-2-222i−2i−2i2i00000000−2i2i2i−2i0000−22−222−22−2−22−222−22−200000000000000000000i2−i2−i2i2−i2i2i2−i200000000
χ832-2-22-2-2222-22-2-22-222-220000-200002-2-22−2i2i2i−2i000000002i−2i−2i2i00002−22−2−22−222−22−2−22−2200000000000000000000i2−i2−i2i2−i2i2i2−i200000000
χ842-2-22-2-2222-22-2-22-222-220000-200002-2-22−2i2i2i−2i000000002i−2i−2i2i0000−22−222−22−2−22−222−22−200000000000000000000−i2i2i2−i2i2−i2−i2i200000000
χ852-2-22-2-222-22-222-22-22-220000-20000-222-22i−2i−2i2i000000002i−2i−2i2i00002−22−2−22−22−22−222−22−200000000000000000000−i2i2i2−i2−i2i2i2−i200000000
χ862-2-22-2-222-22-222-22-22-220000-20000-222-22i−2i−2i2i000000002i−2i−2i2i0000−22−222−22−22−22−2−22−2200000000000000000000i2−i2−i2i2i2−i2−i2i200000000
χ872-2-22-2-222-22-222-22-22-220000-20000-222-2−2i2i2i−2i00000000−2i2i2i−2i00002−22−2−22−22−22−222−22−200000000000000000000i2−i2−i2i2i2−i2−i2i200000000
χ882-2-22-2-222-22-222-22-22-220000-20000-222-2−2i2i2i−2i00000000−2i2i2i−2i0000−22−222−22−22−22−2−22−2200000000000000000000−i2i2i2−i2−i2i2i2−i200000000
χ8944-4-44i−4i4i−4i4ζ4ζ−4ζ−4ζ4ζ34ζ3−4ζ3−4ζ3000-44−4i4i0−4ζ4ζ−4ζ34ζ30000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-44i−4i4i−4i−4ζ−4ζ4ζ4ζ−4ζ3−4ζ34ζ34ζ3000-44−4i4i04ζ−4ζ4ζ3−4ζ30000000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-4−4i4i−4i4i4ζ34ζ3−4ζ3−4ζ34ζ4ζ−4ζ−4ζ000-444i−4i0−4ζ34ζ3−4ζ4ζ0000000000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-4−4i4i−4i4i−4ζ3−4ζ34ζ34ζ3−4ζ−4ζ4ζ4ζ000-444i−4i04ζ3−4ζ34ζ−4ζ0000000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-44i−4i−4i4i4ζ3−4ζ3−4ζ34ζ3−4ζ4ζ4ζ−4ζ0000000000000000000000000000000000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ2-2-222i−2i−2i2i000000000000000000000000000000000000
χ944-44-44i−4i−4i4i4ζ3−4ζ3−4ζ34ζ3−4ζ4ζ4ζ−4ζ000000000000000000000000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ-222-2−2i2i2i−2i000000000000000000000000000000000000
χ954-44-44i−4i−4i4i−4ζ34ζ34ζ3−4ζ34ζ−4ζ−4ζ4ζ0000000000000000000000000000000000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ-222-2−2i2i2i−2i000000000000000000000000000000000000
χ964-44-44i−4i−4i4i−4ζ34ζ34ζ3−4ζ34ζ−4ζ−4ζ4ζ000000000000000000000000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ2-2-222i−2i−2i2i000000000000000000000000000000000000
χ974-44-4−4i4i4i−4i4ζ−4ζ−4ζ4ζ−4ζ34ζ34ζ3−4ζ30000000000000000000000000000000000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ32-2-22−2i2i2i−2i000000000000000000000000000000000000
χ984-44-4−4i4i4i−4i4ζ−4ζ−4ζ4ζ−4ζ34ζ34ζ3−4ζ3000000000000000000000000000000000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ3-222-22i−2i−2i2i000000000000000000000000000000000000
χ994-44-4−4i4i4i−4i−4ζ4ζ4ζ−4ζ4ζ3−4ζ3−4ζ34ζ30000000000000000000000000000000000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3-222-22i−2i−2i2i000000000000000000000000000000000000
χ1004-44-4−4i4i4i−4i−4ζ4ζ4ζ−4ζ4ζ3−4ζ3−4ζ34ζ3000000000000000000000000000000000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ32-2-22−2i2i2i−2i000000000000000000000000000000000000
χ1014-4-4444-4-44i−4i4i−4i4i−4i4i−4i4-4-4000040000−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-4-4−4i4i−4i4i−4i4i−4i4i4-4-40000400004i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-4444-44-4-44-44-44-4000040000-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-4-444-44-444-44-4-44-40000400004-4-44000000000000000000000000000000000000000000000000000000000000000000000000

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