Finite Group Databasebeta

← Group #72225506

Character table — Group #72225506

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222244444444444444888888888888888888888888888161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232326464646464646464
order1224488882444448888161616168888816161616161616161616161616163232323232323232883232323232323232323232324444888816161616161616166464646464646464646464646464646422448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111-111-1-1-111-1-11111-1ii−i−i-1-111iiii−i−i−i−i-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i
χ10111111111-111-1-1-111-1-11111-1ii−i−i-1-111iiii−i−i−i−i-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−iii−i−iii−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-111−i−iii
χ11111111111-111-1-1-111-1-11111-1ii−i−i-1-111iiii−i−i−i−i-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-111−i−iii
χ12111111111-111-1-1-111-1-11111-1ii−i−i-1-111iiii−i−i−i−i-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i
χ13111111111-111-1-1-111-1-11111-1−i−iii-1-111−i−i−i−iiiii-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-1111111-1-1−i−iii
χ14111111111-111-1-1-111-1-11111-1−i−iii-1-111−i−i−i−iiiii-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i
χ15111111111-111-1-1-111-1-11111-1−i−iii-1-111−i−i−i−iiiii-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-111ii−i−i
χ16111111111-111-1-1-111-1-11111-1−i−iii-1-111−i−i−i−iiiii-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii
χ171111111-1-11-1-11-1-1-11-1-111111ii−i−i11-1-1ii−i−iii−i−i-1-1-1-1-1-11111−ii11-1-1ii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ181111111-1-11-1-11-1-1-11-1-111111ii−i−i11-1-1ii−i−iii−i−i-1-1-1-1-1-11111−ii11-1-1ii−i−iii−i−i1111-1-1-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11-11−ii−ii
χ191111111-1-11-1-11-1-1-11-1-111111ii−i−i11-1-1ii−i−iii−i−i-1-1-1-1-1-11111−ii11-1-1ii−i−iii−i−i-1-1-1-11111−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ201111111-1-11-1-11-1-1-11-1-111111ii−i−i11-1-1ii−i−iii−i−i-1-1-1-1-1-11111−ii11-1-1ii−i−iii−i−i-1-1-1-11111−i−iii−i−iii-1-111-1-111−i−iii−i−iii1-11-1i−ii−i
χ211111111-1-11-1-11-1-1-11-1-111111−i−iii11-1-1−i−iii−i−iii-1-1-1-1-1-11111i−i11-1-1−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ221111111-1-11-1-11-1-1-11-1-111111−i−iii11-1-1−i−iii−i−iii-1-1-1-1-1-11111i−i11-1-1−i−iii−i−iii1111-1-1-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11-11i−ii−i
χ231111111-1-11-1-11-1-1-11-1-111111−i−iii11-1-1−i−iii−i−iii-1-1-1-1-1-11111i−i11-1-1−i−iii−i−iii-1-1-1-11111ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ241111111-1-11-1-11-1-1-11-1-111111−i−iii11-1-1−i−iii−i−iii-1-1-1-1-1-11111i−i11-1-1−i−iii−i−iii-1-1-1-11111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii
χ251111111-1-1-1-1-1-111-11111111-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i1-1-111-1-11
χ261111111-1-1-1-1-1-111-11111111-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii-111-1-111-1
χ271111111-1-1-1-1-1-111-11111111-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i-111-1-111-1
χ281111111-1-1-1-1-1-111-11111111-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii1-1-111-1-11
χ291111111-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii1-1-11-111-1
χ301111111-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i-111-11-1-11
χ311111111-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii-111-11-1-11
χ321111111-1-1-1-1-1-111-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i1-1-11-111-1
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χ34222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ352222222222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002200000000000000000000000000002−22−22−22−22−22−22−22−200000000
χ362222222222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000220000000000000000000000000000−22−22−22−22−22−22−22−2200000000
χ372222222222222222222-2-2-2-22-2-2-2-2-2-2-2-222222222-2-200000000-2-200000000000000000000000000002−22−22−22−2−22−22−22−2200000000
χ382222222222222222222-2-2-2-22-2-2-2-2-2-2-2-222222222-2-200000000-2-20000000000000000000000000000−22−22−22−222−22−22−22−200000000
χ39222222222-222-2-2-222-2-22222-22i2i−2i−2i-2-2222i2i2i2i−2i−2i−2i−2i-2-2-2-2-2-222222i−2i-2-222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ40222222222-222-2-2-222-2-22222-2−2i−2i2i2i-2-222−2i−2i−2i−2i2i2i2i2i-2-2-2-2-2-22222−2i2i-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ41222222222-222-2-2-222-2-2-2-2-2-2-22i2i−2i−2i22-2-2−2i−2i−2i−2i2i2i2i2i22000000002i−2i0000000000000000000000000000i2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000
χ42222222222-222-2-2-222-2-2-2-2-2-2-22i2i−2i−2i22-2-2−2i−2i−2i−2i2i2i2i2i22000000002i−2i0000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000
χ43222222222-222-2-2-222-2-2-2-2-2-2-2−2i−2i2i2i22-2-22i2i2i2i−2i−2i−2i−2i2200000000−2i2i0000000000000000000000000000i2−i2i2−i2−i2i2−i2i2−22−222−22−200000000
χ44222222222-222-2-2-222-2-2-2-2-2-2-2−2i−2i2i2i22-2-22i2i2i2i−2i−2i−2i−2i2200000000−2i2i0000000000000000000000000000−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000
χ452222222-2-22-2-22-2-2-22-2-2222222i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i-2-22222-2-2-2-2−2i2i-2-222−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ462222222-2-22-2-22-2-2-22-2-222222−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i-2-22222-2-2-2-22i−2i-2-2222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ472222222-2-22-2-22-2-2-22-2-2-2-2-2-222i2i−2i−2i-2-222−2i−2i2i2i−2i−2i2i2i2200000000−2i2i00000000000000000000000000002−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ482222222-2-22-2-22-2-2-22-2-2-2-2-2-222i2i−2i−2i-2-222−2i−2i2i2i−2i−2i2i2i2200000000−2i2i0000000000000000000000000000−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
χ492222222-2-22-2-22-2-2-22-2-2-2-2-2-22−2i−2i2i2i-2-2222i2i−2i−2i2i2i−2i−2i22000000002i−2i00000000000000000000000000002−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000
χ502222222-2-22-2-22-2-2-22-2-2-2-2-2-22−2i−2i2i2i-2-2222i2i−2i−2i2i2i−2i−2i22000000002i−2i0000000000000000000000000000−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000
χ512222222-2-2-2-2-2-222-22222222-22222-2-2-2-222-2-2-2-2222222222222-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000000000000000
χ522222222-2-2-2-2-2-222-22222222-2-2-2-2-2-2-2-2-2-2-22222-2-2222222222222-2-2-2-222-2-2-2-2220000000000000000000000000000000000000000
χ532222222-2-2-2-2-2-222-2222-2-2-2-2-222222222-2-22222-2-2-2-200000000-2-20000000000000000000000000000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ542222222-2-2-2-2-2-222-2222-2-2-2-2-222222222-2-22222-2-2-2-200000000-2-20000000000000000000000000000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ552222222-2-2-2-2-2-222-2222-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-200000000220000000000000000000000000000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ562222222-2-2-2-2-2-222-2222-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-200000000220000000000000000000000000000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ5722-22-2220000002i−2i0-22i−2i22-2-202ζ−2ζ2ζ3−2ζ300002ζ−2ζ00002ζ3−2ζ32i−2i22-2-22i2i−2i−2i000000002ζ−2ζ2ζ3−2ζ3001+i−1−i1−i−1+i1+i−1−i1−i−1+i2−22−2i2−i2i2−i2000000000000000000000000
χ5822-22-2220000002i−2i0-22i−2i22-2-202ζ−2ζ2ζ3−2ζ300002ζ−2ζ00002ζ3−2ζ32i−2i22-2-22i2i−2i−2i000000002ζ−2ζ2ζ3−2ζ300−1−i1+i−1+i1−i−1−i1+i−1+i1−i−22−22−i2i2−i2i2000000000000000000000000
χ5922-22-2220000002i−2i0-22i−2i22-2-202ζ−2ζ2ζ3−2ζ300002ζ−2ζ00002ζ3−2ζ32i−2i-2-222−2i−2i2i2i00000000−2ζ2ζ−2ζ32ζ3001−i−1+i1+i−1−i−1+i1−i−1−i1+ii2−i2−i2i22−2−22000000000000000000000000
χ6022-22-2220000002i−2i0-22i−2i22-2-202ζ−2ζ2ζ3−2ζ300002ζ−2ζ00002ζ3−2ζ32i−2i-2-222−2i−2i2i2i00000000−2ζ2ζ−2ζ32ζ300−1+i1−i−1−i1+i1−i−1+i1+i−1−i−i2i2i2−i2−222−2000000000000000000000000
χ6122-22-2220000002i−2i0-22i−2i22-2-20−2ζ2ζ−2ζ32ζ30000−2ζ2ζ0000−2ζ32ζ32i−2i22-2-22i2i−2i−2i00000000−2ζ2ζ−2ζ32ζ3001+i−1−i1−i−1+i1+i−1−i1−i−1+i−22−22−i2i2−i2i2000000000000000000000000
χ6222-22-2220000002i−2i0-22i−2i22-2-20−2ζ2ζ−2ζ32ζ30000−2ζ2ζ0000−2ζ32ζ32i−2i22-2-22i2i−2i−2i00000000−2ζ2ζ−2ζ32ζ300−1−i1+i−1+i1−i−1−i1+i−1+i1−i2−22−2i2−i2i2−i2000000000000000000000000
χ6322-22-2220000002i−2i0-22i−2i22-2-20−2ζ2ζ−2ζ32ζ30000−2ζ2ζ0000−2ζ32ζ32i−2i-2-222−2i−2i2i2i000000002ζ−2ζ2ζ3−2ζ3001−i−1+i1+i−1−i−1+i1−i−1−i1+i−i2i2i2−i2−222−2000000000000000000000000
χ6422-22-2220000002i−2i0-22i−2i22-2-20−2ζ2ζ−2ζ32ζ30000−2ζ2ζ0000−2ζ32ζ32i−2i-2-222−2i−2i2i2i000000002ζ−2ζ2ζ3−2ζ300−1+i1−i−1−i1+i1−i−1+i1+i−1−ii2−i2−i2i22−2−22000000000000000000000000
χ6522-22-222000000−2i2i0-2−2i2i22-2-202ζ3−2ζ32ζ−2ζ00002ζ3−2ζ300002ζ−2ζ−2i2i22-2-2−2i−2i2i2i000000002ζ3−2ζ32ζ−2ζ001−i−1+i1+i−1−i1−i−1+i1+i−1−i−22−22i2−i2i2−i2000000000000000000000000
χ6622-22-222000000−2i2i0-2−2i2i22-2-202ζ3−2ζ32ζ−2ζ00002ζ3−2ζ300002ζ−2ζ−2i2i22-2-2−2i−2i2i2i000000002ζ3−2ζ32ζ−2ζ00−1+i1−i−1−i1+i−1+i1−i−1−i1+i2−22−2−i2i2−i2i2000000000000000000000000
χ6722-22-222000000−2i2i0-2−2i2i22-2-202ζ3−2ζ32ζ−2ζ00002ζ3−2ζ300002ζ−2ζ−2i2i-2-2222i2i−2i−2i00000000−2ζ32ζ3−2ζ2ζ001+i−1−i1−i−1+i−1−i1+i−1+i1−ii2−i2−i2i2−222−2000000000000000000000000
χ6822-22-222000000−2i2i0-2−2i2i22-2-202ζ3−2ζ32ζ−2ζ00002ζ3−2ζ300002ζ−2ζ−2i2i-2-2222i2i−2i−2i00000000−2ζ32ζ3−2ζ2ζ00−1−i1+i−1+i1−i1+i−1−i1−i−1+i−i2i2i2−i22−2−22000000000000000000000000
χ6922-22-222000000−2i2i0-2−2i2i22-2-20−2ζ32ζ3−2ζ2ζ0000−2ζ32ζ30000−2ζ2ζ−2i2i22-2-2−2i−2i2i2i00000000−2ζ32ζ3−2ζ2ζ001−i−1+i1+i−1−i1−i−1+i1+i−1−i2−22−2−i2i2−i2i2000000000000000000000000
χ7022-22-222000000−2i2i0-2−2i2i22-2-20−2ζ32ζ3−2ζ2ζ0000−2ζ32ζ30000−2ζ2ζ−2i2i22-2-2−2i−2i2i2i00000000−2ζ32ζ3−2ζ2ζ00−1+i1−i−1−i1+i−1+i1−i−1−i1+i−22−22i2−i2i2−i2000000000000000000000000
χ7122-22-222000000−2i2i0-2−2i2i22-2-20−2ζ32ζ3−2ζ2ζ0000−2ζ32ζ30000−2ζ2ζ−2i2i-2-2222i2i−2i−2i000000002ζ3−2ζ32ζ−2ζ001+i−1−i1−i−1+i−1−i1+i−1+i1−i−i2i2i2−i22−2−22000000000000000000000000
χ7222-22-222000000−2i2i0-2−2i2i22-2-20−2ζ32ζ3−2ζ2ζ0000−2ζ32ζ30000−2ζ2ζ−2i2i-2-2222i2i−2i−2i000000002ζ3−2ζ32ζ−2ζ00−1−i1+i−1+i1−i1+i−1−i1−i−1+ii2−i2−i2i2−222−2000000000000000000000000
χ7344444-4-4444-4-44-4-44-4440000-400000000000000000022−2222−2222−2222−220022−2222−22000000000000000000000000000000000000000000000000
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χ7544444-4-444-4-4-4-4444-4-4-40000400000000000000000022−2222−22−2222−22220022−22−2222000000000000000000000000000000000000000000000000
χ7644444-4-444-4-4-4-4444-4-4-400004000000000000000000−2222−222222−2222−2200−222222−22000000000000000000000000000000000000000000000000
χ7744444-4-4-4-4444444-4-4-4-40000-400000000000000000022−2222−22−2222−222200−222222−22000000000000000000000000000000000000000000000000
χ7844444-4-4-4-4444444-4-4-4-40000-4000000000000000000−2222−222222−2222−220022−22−2222000000000000000000000000000000000000000000000000
χ7944444-4-4-4-4-444-4-4-4-4-4440000400000000000000000022−2222−2222−2222−2200−2222−2222000000000000000000000000000000000000000000000000
χ8044444-4-4-4-4-444-4-4-4-4-44400004000000000000000000−2222−2222−2222−22220022−2222−22000000000000000000000000000000000000000000000000
χ8144-44-4440000004i−4i0-44i−4i-4-44404ζ−4ζ4ζ3−4ζ30000−4ζ4ζ0000−4ζ34ζ3−4i4i00000000000000000000000000000000000000000000000000000000000000
χ8244-44-4440000004i−4i0-44i−4i-4-4440−4ζ4ζ−4ζ34ζ300004ζ−4ζ00004ζ3−4ζ3−4i4i00000000000000000000000000000000000000000000000000000000000000
χ8344-44-444000000−4i4i0-4−4i4i-4-44404ζ3−4ζ34ζ−4ζ0000−4ζ34ζ30000−4ζ4ζ4i−4i00000000000000000000000000000000000000000000000000000000000000
χ8444-44-444000000−4i4i0-4−4i4i-4-4440−4ζ34ζ3−4ζ4ζ00004ζ3−4ζ300004ζ−4ζ4i−4i00000000000000000000000000000000000000000000000000000000000000
χ8544-44-4-4-40000004i−4i04−4i4i0000000000000004ζ−4ζ4ζ3−4ζ3000022−22−2222−2i22i22i2−2i20000002+2i−2−2i00002−2i−2+2i0000000000000000000000000000000000000000
χ8644-44-4-4-40000004i−4i04−4i4i0000000000000004ζ−4ζ4ζ3−4ζ30000−222222−222i2−2i2−2i22i2000000−2−2i2+2i0000−2+2i2−2i0000000000000000000000000000000000000000
χ8744-44-4-4-40000004i−4i04−4i4i000000000000000−4ζ4ζ−4ζ34ζ3000022−22−2222−2i22i22i2−2i2000000−2−2i2+2i0000−2+2i2−2i0000000000000000000000000000000000000000
χ8844-44-4-4-40000004i−4i04−4i4i000000000000000−4ζ4ζ−4ζ34ζ30000−222222−222i2−2i2−2i22i20000002+2i−2−2i00002−2i−2+2i0000000000000000000000000000000000000000
χ8944-44-4-4-4000000−4i4i044i−4i0000000000000004ζ3−4ζ34ζ−4ζ000022−22−22222i2−2i2−2i22i2000000−2+2i2−2i0000−2−2i2+2i0000000000000000000000000000000000000000
χ9044-44-4-4-4000000−4i4i044i−4i0000000000000004ζ3−4ζ34ζ−4ζ0000−222222−22−2i22i22i2−2i20000002−2i−2+2i00002+2i−2−2i0000000000000000000000000000000000000000
χ9144-44-4-4-4000000−4i4i044i−4i000000000000000−4ζ34ζ3−4ζ4ζ000022−22−22222i2−2i2−2i22i20000002−2i−2+2i00002+2i−2−2i0000000000000000000000000000000000000000
χ9244-44-4-4-4000000−4i4i044i−4i000000000000000−4ζ34ζ3−4ζ4ζ0000−222222−22−2i22i22i2−2i2000000−2+2i2−2i0000−2−2i2+2i0000000000000000000000000000000000000000
χ93888-8-80000800-800000042−4242−420000042−4200000000000000000000000000000000000000000000000000000000000000000000000000
χ94888-8-80000800-8000000−4242−424200000−424200000000000000000000000000000000000000000000000000000000000000000000000000
χ95888-8-80000-800800000042−4242−4200000−424200000000000000000000000000000000000000000000000000000000000000000000000000
χ96888-8-80000-8008000000−4242−42420000042−4200000000000000000000000000000000000000000000000000000000000000000000000000
χ9788-8-880088000000-800042−42−4242000000042−42000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-880088000000-8000−424242−420000000−4242000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8800-8-8000000800042−42−42420000000−4242000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8800-8-80000008000−424242−42000000042−42000000000000000000000000000000000000000000000000000000000000000000000000
χ10116-1600082−8282−8208-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-1600082−82−82820-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-16000−828282−820-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-16000−8282−828208-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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