Finite Group Databasebeta

← Group #225784

Character table — Group #225784

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111111122222222222222222222222244444444444444444444444444444444448888888888888888888888881616161616161616
order12224444444444448888888888888888222224444488888888888888888888888844448888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111111-1-111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-111111111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-1111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ171111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1-1-11ii−i−iii−i−i11-1-111-1-11111-1-1-1-11-11-1i−ii−iii−i−iii−i−i11-1-111-1-1i−ii−ii−ii−i
χ181111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-11111-1-1-1-11−i−iii−i−iii11-1-111-1-11111-1-1-1-11-11-1−ii−ii−i−iii−i−iii11-1-111-1-1−ii−ii−ii−ii
χ191111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111ii−i−iii−i−i11-1-111-1-11111-1-1-1-1-11-11i−ii−iii−i−iii−i−i-1-111-1-111−ii−ii−ii−ii
χ201111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111−i−iii−i−iii11-1-111-1-11111-1-1-1-1-11-11−ii−ii−i−iii−i−iii-1-111-1-111i−ii−ii−ii−i
χ211111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-11111-1-1-1-11ii−i−i−i−iii11-1-1-1-111-1-1-1-111111-11-1i−i−iiii−i−i−i−iii-1-111-1-111i−ii−i−ii−ii
χ221111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-11111-1-1-1-11−i−iiiii−i−i11-1-1-1-111-1-1-1-111111-11-1−iii−i−i−iiiii−i−i-1-111-1-111−ii−iii−ii−i
χ231111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-111111ii−i−i−i−iii11-1-1-1-111-1-1-1-11111-11-11i−i−iiii−i−i−i−iii11-1-111-1-1−ii−iii−ii−i
χ241111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-111111−i−iiiii−i−i11-1-1-1-111-1-1-1-11111-11-11−iii−i−i−iiiii−i−i11-1-111-1-1i−ii−i−ii−ii
χ251111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1111ii−i−iii−i−i-1-11111-1-1-1-1-1-111111-1-11i−ii−i−i−iii−i−iii11-1-1-1-111i−i−iii−i−ii
χ261111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1111−i−iii−i−iii-1-11111-1-1-1-1-1-111111-1-11−ii−iiii−i−iii−i−i11-1-1-1-111−iii−i−iii−i
χ271111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-11111-1-11ii−i−iii−i−i-1-11111-1-1-1-1-1-11111-111-1i−ii−i−i−iii−i−iii-1-11111-1-1−iii−i−iii−i
χ281111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-11111-1-11−i−iii−i−iii-1-11111-1-1-1-1-1-11111-111-1−ii−iiii−i−iii−i−i-1-11111-1-1i−i−iii−i−ii
χ291111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-1-1-1-1111ii−i−i−i−iii-1-111-1-1111111-1-1-1-11-1-11i−i−ii−i−iiiii−i−i-1-11111-1-1i−i−ii−iii−i
χ301111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-111-1-1-1-1111−i−iiiii−i−i-1-111-1-1111111-1-1-1-11-1-11−iii−iii−i−i−i−iii-1-11111-1-1−iii−ii−i−ii
χ311111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-11111-1-11ii−i−i−i−iii-1-111-1-1111111-1-1-1-1-111-1i−i−ii−i−iiiii−i−i11-1-1-1-111−iii−ii−i−ii
χ321111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-11111-1-11−i−iiiii−i−i-1-111-1-1111111-1-1-1-1-111-1−iii−iii−i−i−i−iii11-1-1-1-111i−i−ii−iii−i
χ332222222222-2-2-2-2220000000022222222-200000000-2222222220000-2-2-2-2000000000000-2-2-2-2000000000000000000000000
χ342222222222-2-2-2-2220000000022222222-200000000-2-2-2-2-2-2-2-2-20000-2-2-2-20000000000002222000000000000000000000000
χ352222222222-2-2-2-22200000000-2-2-2-2-2-2-2-2-200000000-22222-2-2-2-200002222000000000000-2-222000000000000000000000000
χ362222222222-2-2-2-22200000000-2-2-2-2-2-2-2-2-200000000-2-2-2-2-222220000222200000000000022-2-2000000000000000000000000
χ3722222222-2-22222-2-22222222200000000-222222222-200000000-2-2-2-2000000000000-2-2-2-20000000000000000000000000000
χ3822222222-2-22222-2-22222222200000000-2-2-2-2-2-2-2-2-2-200000000-2-2-2-200000000000022220000000000000000000000000000
χ3922222222-2-22222-2-2-2-2-2-2-2-2-2-200000000-222-2-222-2-2-2000000002222000000000000-2-2220000000000000000000000000000
χ4022222222-2-22222-2-2-2-2-2-2-2-2-2-200000000-2-2-222-2-222-200000000222200000000000022-2-20000000000000000000000000000
χ412222-2-2-2-22222-2-2-2-22222-2-2-2-20000000022222-2-2-2-2-200000000-2-222000000000000-22-220000000000000000000000000000
χ422222-2-2-2-22222-2-2-2-22222-2-2-2-2000000002-2-2-2-22222-200000000-2-2220000000000002-22-20000000000000000000000000000
χ432222-2-2-2-22222-2-2-2-2-2-2-2-2222200000000222-2-2-2-222-20000000022-2-2000000000000-222-20000000000000000000000000000
χ442222-2-2-2-22222-2-2-2-2-2-2-2-22222000000002-2-22222-2-2-20000000022-2-20000000000002-2-220000000000000000000000000000
χ452222-2-2-2-2-2-2-2-22222000000002222-2-2-2-2200000000-22i2i−2i−2i2i2i−2i−2i0000-2-222000000000000−2i2i−2i2i000000000000000000000000
χ462222-2-2-2-2-2-2-2-22222000000002222-2-2-2-2200000000-2−2i−2i2i2i−2i−2i2i2i0000-2-2220000000000002i−2i2i−2i000000000000000000000000
χ472222-2-2-2-2-2-2-2-2222200000000-2-2-2-22222200000000-22i2i−2i−2i−2i−2i2i2i000022-2-2000000000000−2i2i2i−2i000000000000000000000000
χ482222-2-2-2-2-2-2-2-2222200000000-2-2-2-22222200000000-2−2i−2i2i2i2i2i−2i−2i000022-2-20000000000002i−2i−2i2i000000000000000000000000
χ4922-2-22i−2i2i−2i002-22i−2i0022-2-22i2i−2i−2ii2i2−i2−i222−2−202-22-22i−2i2i−2i0000000000000i2−i22−2i2i2−i2−i222−2−20000000000000000i2−i22−2i2−i22−200000000
χ5022-2-22i−2i2i−2i002-22i−2i0022-2-22i2i−2i−2ii2i2−i2−i222−2−20-22-22−2i2i−2i2i0000000000000i2−i22−2i2i2−i2−i222−2−20000000000000000−i2i2−22−i2i2−2200000000
χ5122-2-22i−2i2i−2i002-22i−2i0022-2-22i2i−2i−2i−i2−i2i2i2−2−22202-22-22i−2i2i−2i0000000000000−i2i2−22−i2−i2i2i2−2−2220000000000000000−i2i2−22−i2i2−2200000000
χ5222-2-22i−2i2i−2i002-22i−2i0022-2-22i2i−2i−2i−i2−i2i2i2−2−2220-22-22−2i2i−2i2i0000000000000−i2i2−22−i2−i2i2i2−2−2220000000000000000i2−i22−2i2−i22−200000000
χ5322-2-22i−2i2i−2i002-22i−2i00-2-222−2i−2i2i2ii2i2−i2−i222−2−202-2-222i−2i−2i2i0000000000000i2−i22−2−i2−i2i2i2−2−2220000000000000000i2−i22−2−i2i2−2200000000
χ5422-2-22i−2i2i−2i002-22i−2i00-2-222−2i−2i2i2ii2i2−i2−i222−2−20-222-2−2i2i2i−2i0000000000000i2−i22−2−i2−i2i2i2−2−2220000000000000000−i2i2−22i2−i22−200000000
χ5522-2-22i−2i2i−2i002-22i−2i00-2-222−2i−2i2i2i−i2−i2i2i2−2−22202-2-222i−2i−2i2i0000000000000−i2i2−22i2i2−i2−i222−2−20000000000000000−i2i2−22i2−i22−200000000
χ5622-2-22i−2i2i−2i002-22i−2i00-2-222−2i−2i2i2i−i2−i2i2i2−2−2220-222-2−2i2i2i−2i0000000000000−i2i2−22i2i2−i2−i222−2−20000000000000000i2−i22−2−i2i2−2200000000
χ5722-2-2−2i2i−2i2i002-2−2i2i0022-2-2−2i−2i2i2ii2i2−i2−i2−2−22202-22-2−2i2i−2i2i0000000000000i2−i2−22i2i2−i2−i2−2−2220000000000000000i2−i2−22i2−i2−2200000000
χ5822-2-2−2i2i−2i2i002-2−2i2i0022-2-2−2i−2i2i2ii2i2−i2−i2−2−2220-22-222i−2i2i−2i0000000000000i2−i2−22i2i2−i2−i2−2−2220000000000000000−i2i22−2−i2i22−200000000
χ5922-2-2−2i2i−2i2i002-2−2i2i0022-2-2−2i−2i2i2i−i2−i2i2i222−2−202-22-2−2i2i−2i2i0000000000000−i2i22−2−i2−i2i2i222−2−20000000000000000−i2i22−2−i2i22−200000000
χ6022-2-2−2i2i−2i2i002-2−2i2i0022-2-2−2i−2i2i2i−i2−i2i2i222−2−20-22-222i−2i2i−2i0000000000000−i2i22−2−i2−i2i2i222−2−20000000000000000i2−i2−22i2−i2−2200000000
χ6122-2-2−2i2i−2i2i002-2−2i2i00-2-2222i2i−2i−2ii2i2−i2−i2−2−22202-2-22−2i2i2i−2i0000000000000i2−i2−22−i2−i2i2i222−2−20000000000000000i2−i2−22−i2i22−200000000
χ6222-2-2−2i2i−2i2i002-2−2i2i00-2-2222i2i−2i−2ii2i2−i2−i2−2−2220-222-22i−2i−2i2i0000000000000i2−i2−22−i2−i2i2i222−2−20000000000000000−i2i22−2i2−i2−2200000000
χ6322-2-2−2i2i−2i2i002-2−2i2i00-2-2222i2i−2i−2i−i2−i2i2i222−2−202-2-22−2i2i2i−2i0000000000000−i2i22−2i2i2−i2−i2−2−2220000000000000000−i2i22−2i2−i2−2200000000
χ6422-2-2−2i2i−2i2i002-2−2i2i00-2-2222i2i−2i−2i−i2−i2i2i222−2−20-222-22i−2i−2i2i0000000000000−i2i22−2i2i2−i2−i2−2−2220000000000000000i2−i2−22−i2i22−200000000
χ652-22-22i−2i−2i2i2i−2i00002-22−22−2i2−i2i2−i22i−2i2i−2i2-22-200000000002ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ32−2i2−i20000i2−i2i2−i22−22−2000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000000000000
χ662-22-22i−2i−2i2i2i−2i00002-22−22−2i2−i2i2−i22i−2i2i−2i2-22-20000000000−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ32−2i2−i20000i2−i2i2−i22−22−200000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000000000000
χ672-22-22i−2i−2i2i2i−2i00002-22−22−2i2−i2i2−i2−2i2i−2i2i-22-2200000000002ζ3−2ζ32ζ−2ζ−2ζ2ζ−2ζ32ζ32−2i2−i20000−i2i2−i2i2−22−22000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i0000000000000000
χ682-22-22i−2i−2i2i2i−2i00002-22−22−2i2−i2i2−i2−2i2i−2i2i-22-220000000000−2ζ32ζ3−2ζ2ζ2ζ−2ζ2ζ3−2ζ32−2i2−i20000−i2i2−i2i2−22−2200000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000000000000000
χ692-22-22i−2i−2i2i2i−2i00002-2−22−22−i2i2−i2i22i−2i2i−2i2-22-200000000002ζ3−2ζ32ζ−2ζ2ζ−2ζ2ζ3−2ζ3−22−i2i20000−i2i2−i2i2−22−2200000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000000000000000
χ702-22-22i−2i−2i2i2i−2i00002-2−22−22−i2i2−i2i22i−2i2i−2i2-22-20000000000−2ζ32ζ3−2ζ2ζ−2ζ2ζ−2ζ32ζ3−22−i2i20000−i2i2−i2i2−22−22000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000000000000000
χ712-22-22i−2i−2i2i2i−2i00002-2−22−22−i2i2−i2i2−2i2i−2i2i-22-2200000000002ζ3−2ζ32ζ−2ζ−2ζ2ζ−2ζ32ζ3−22−i2i20000i2−i2i2−i22−22−200000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000000000000000
χ722-22-22i−2i−2i2i2i−2i00002-2−22−22−i2i2−i2i2−2i2i−2i2i-22-220000000000−2ζ32ζ3−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−22−i2i20000i2−i2i2−i22−22−2000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i0000000000000000
χ732-22-2−2i2i2i−2i−2i2i00002-22−22−2−i2i2−i2i22i−2i2i−2i-22-2200000000002ζ−2ζ2ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2−2−i2i20000i2−i2i2−i2−22−2200000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000000000000000
χ742-22-2−2i2i2i−2i−2i2i00002-22−22−2−i2i2−i2i22i−2i2i−2i-22-220000000000−2ζ2ζ−2ζ32ζ32ζ3−2ζ32ζ−2ζ2−2−i2i20000i2−i2i2−i2−22−22000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i0000000000000000
χ752-22-2−2i2i2i−2i−2i2i00002-22−22−2−i2i2−i2i2−2i2i−2i2i2-22-200000000002ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ2−2−i2i20000−i2i2−i2i22−22−200000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000000000000
χ762-22-2−2i2i2i−2i−2i2i00002-22−22−2−i2i2−i2i2−2i2i−2i2i2-22-20000000000−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ2−2−i2i20000−i2i2−i2i22−22−2000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000000000000
χ772-22-2−2i2i2i−2i−2i2i00002-2−22−22i2−i2i2−i22i−2i2i−2i-22-2200000000002ζ−2ζ2ζ3−2ζ3−2ζ32ζ3−2ζ2ζ−22i2−i20000−i2i2−i2i22−22−2000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i0000000000000000
χ782-22-2−2i2i2i−2i−2i2i00002-2−22−22i2−i2i2−i22i−2i2i−2i-22-220000000000−2ζ2ζ−2ζ32ζ32ζ3−2ζ32ζ−2ζ−22i2−i20000−i2i2−i2i22−22−200000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000000000000000
χ792-22-2−2i2i2i−2i−2i2i00002-2−22−22i2−i2i2−i2−2i2i−2i2i2-22-200000000002ζ−2ζ2ζ3−2ζ32ζ3−2ζ32ζ−2ζ−22i2−i20000i2−i2i2−i2−22−22000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000000000000000
χ802-22-2−2i2i2i−2i−2i2i00002-2−22−22i2−i2i2−i2−2i2i−2i2i2-22-20000000000−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−22i2−i20000i2−i2i2−i2−22−2200000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000000000000000
χ8144444444-4-4-4-4-4-4-4-40000000000000000400000000400000000000000000000000000000000000000000000000000000000
χ824444-4-4-4-444-4-444-4-40000000000000000-400000000400000000000000000000000000000000000000000000000000000000
χ8344-4-44i−4i4i−4i00-44−4i4i00000000002i22i2−2i2−2i22222−22−220000000000000000000000−2i22i2−22220000000000000000000000000000000000000000
χ8444-4-44i−4i4i−4i00-44−4i4i0000000000−2i2−2i22i22i2−22−22222200000000000000000000002i2−2i222−220000000000000000000000000000000000000000
χ8544-4-4−4i4i−4i4i00-444i−4i00000000002i22i2−2i2−2i2−22−2222220000000000000000000000−2i22i222−220000000000000000000000000000000000000000
χ8644-4-4−4i4i−4i4i00-444i−4i0000000000−2i2−2i22i22i22222−22−2200000000000000000000002i2−2i2−22220000000000000000000000000000000000000000
χ874-44-44i−4i−4i4i−4i4i0000-4422−2222−222i2−2i22i2−2i200000000000000000000000000−2222−2i22i200000000000000000000000000000000000000000000
χ884-44-44i−4i−4i4i−4i4i0000-44−2222−2222−2i22i2−2i22i20000000000000000000000000022−222i2−2i200000000000000000000000000000000000000000000
χ894-44-4−4i4i4i−4i4i−4i0000-4422−2222−22−2i22i2−2i22i200000000000000000000000000−22222i2−2i200000000000000000000000000000000000000000000
χ904-44-4−4i4i4i−4i4i−4i0000-44−2222−22222i2−2i22i2−2i20000000000000000000000000022−22−2i22i200000000000000000000000000000000000000000000
χ914-4-4444-4-40000000022−22−222222−22−222222−22−222222−22−2222000000000000000000000000002-2-222-2-2200000000000000000000000000000000
χ924-4-4444-4-40000000022−22−222222−22−2222−222222−22−222222−2200000000000000000000000000-222-2-222-200000000000000000000000000000000
χ934-4-4444-4-400000000−222222−22−222222−2222−22−222222−22−222200000000000000000000000000-222-2-222-200000000000000000000000000000000
χ944-4-4444-4-400000000−222222−22−222222−22−222222−22−222222−22000000000000000000000000002-2-222-2-2200000000000000000000000000000000
χ954-4-44-4-4440000000022−22−2222−222222−2222−22−2222−222222−22000000000000000000000000002-2-22-222-200000000000000000000000000000000
χ964-4-44-4-4440000000022−22−2222−222222−22−222222−2222−22−222200000000000000000000000000-222-22-2-2200000000000000000000000000000000
χ974-4-44-4-44400000000−222222−2222−22−222222−22−2222−222222−2200000000000000000000000000-222-22-2-2200000000000000000000000000000000
χ984-4-44-4-44400000000−222222−2222−22−2222−222222−2222−22−2222000000000000000000000000002-2-22-222-200000000000000000000000000000000

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