Finite Group Databasebeta

← Group #96752

Character table — Group #96752

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222222222224444444444444444444444444444444444444444444488888888888888888888888888888888888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111
χ111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111
χ121111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171111-1-1-111-1-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-1ii−i−iii−i−i11-1-11-1i−ii−i1-1
χ181111-1-1-111-1-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111−i−iii−i−iii-1-111-11−ii−ii-11
χ191111-1-1-111-1-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−iii−i−i11-1-1-11−ii−ii-11
χ201111-1-1-111-1-1-11-11-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-111−i−iii−i−iii-1-1111-1i−ii−i1-1
χ211111-1-1-111-1-1-11-11-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-111-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiii−i−i-1-11111-1-1−i−iii1-1−iii−i-11
χ221111-1-1-111-1-1-11-11-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-111-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−iii11-1-1-1-111ii−i−i-11i−i−ii1-1
χ231111-1-1-111-1-1-11-11-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-111-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−iii−i−i-1-11111-1-1−i−iii-11i−i−ii1-1
χ241111-1-1-111-1-1-11-11-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-111-1-11111-1-1ii−i−i−i−iii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii11-1-1-1-111ii−i−i1-1−iii−i-11
χ251111-1-1-111-1-1-11-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-111-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i11-1-1-1-111−i−iii1-1i−i−ii-11
χ261111-1-1-111-1-1-11-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-111-1-11111-1-1−i−iiiii−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−iii-1-11111-1-1ii−i−i-11−iii−i1-1
χ271111-1-1-111-1-1-11-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-111-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−iii−i−i11-1-1-1-111−i−iii-11−iii−i1-1
χ281111-1-1-111-1-1-11-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-111-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−iii-1-11111-1-1ii−i−i1-1i−i−ii-11
χ291111-1-1-111-1-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−i−iii11-1-11-1−ii−ii1-1
χ301111-1-1-111-1-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−iii−i−i-1-111-11i−ii−i-11
χ311111-1-1-111-1-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1−i−iii−i−iii11-1-1-11i−ii−i-11
χ321111-1-1-111-1-1-11-11-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-111ii−i−iii−i−i-1-1111-1−ii−ii1-1
χ3322222222222222222222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ372222-2-2-222-2-2-22-22-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-22222-2-2-2-22222-2-2-2-222−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ382222-2-2-222-2-2-22-22-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i22-2-2-2-22222-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ392222-2-2-222-2-2-22-22-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i22-2-2-2-22222-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ402222-2-2-222-2-2-22-22-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-2-22222-2-2-2-22222-2-2-2-2222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ41222-222-22-222-2-2-2-2-20000000022-2-222-2-222220000-2-2-2-2000000002-22-2000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000
χ42222-222-22-222-2-2-2-2-20000000022-2-222-2-222220000-2-2-2-2000000002-22-20000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000
χ43222-222-22-222-2-2-2-2-20000000022-2-222-2-2-2-2-2-20000222200000000-22-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ44222-222-22-222-2-2-2-2-20000000022-2-222-2-2-2-2-2-20000222200000000-22-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ45222-222-22-222-2-2-2-2-200000000-2-222-2-22222220000-2-2-2-200000000-22-22000022−2−222−2−2−2−222−2−222−2−222−2−22222−2−222−2−2000000000000000000000000
χ46222-222-22-222-2-2-2-2-200000000-2-222-2-22222220000-2-2-2-200000000-22-220000−2−222−2−22222−2−222−2−222−2−222−2−2−2−222−2−222000000000000000000000000
χ47222-222-22-222-2-2-2-2-200000000-2-222-2-222-2-2-2-200002222000000002-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ48222-222-22-222-2-2-2-2-200000000-2-222-2-222-2-2-2-200002222000000002-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ49222-2-2-222-2-2-22-22-22000000002i2i−2i−2i−2i−2i2i2i22-2-20000-2-222000000002i−2i−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000000000000000
χ50222-2-2-222-2-2-22-22-22000000002i2i−2i−2i−2i−2i2i2i22-2-20000-2-222000000002i−2i−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000000000000000
χ51222-2-2-222-2-2-22-22-22000000002i2i−2i−2i−2i−2i2i2i-2-222000022-2-200000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i222−2−2−2−222−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ52222-2-2-222-2-2-22-22-22000000002i2i−2i−2i−2i−2i2i2i-2-222000022-2-200000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−222−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ53222-2-2-222-2-2-22-22-2200000000−2i−2i2i2i2i2i−2i−2i22-2-20000-2-22200000000−2i2i2i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000000000000000
χ54222-2-2-222-2-2-22-22-2200000000−2i−2i2i2i2i2i−2i−2i22-2-20000-2-22200000000−2i2i2i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000000000000000
χ55222-2-2-222-2-2-22-22-2200000000−2i−2i2i2i2i2i−2i−2i-2-222000022-2-2000000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−222−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ56222-2-2-222-2-2-22-22-2200000000−2i−2i2i2i2i2i−2i−2i-2-222000022-2-2000000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−222−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ5722-222-22-2-22-2-2-2-2222i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i00002i−2i2i−2i0000000000002-22-21+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000000000000000
χ5822-222-22-2-22-2-2-2-2222i2i−2i−2i2i2i−2i−2i000000002i−2i2i−2i00002i−2i2i−2i0000000000002-22-2−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000000000000000
χ5922-222-22-2-22-2-2-2-2222i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i0000−2i2i−2i2i000000000000-22-221−i−1+i1−i−1+i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000000000000000
χ6022-222-22-2-22-2-2-2-2222i2i−2i−2i2i2i−2i−2i00000000−2i2i−2i2i0000−2i2i−2i2i000000000000-22-22−1+i1−i−1+i1−i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000000000000000
χ6122-222-22-2-22-2-2-2-222−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i00002i−2i2i−2i000000000000-22-221+i−1−i1+i−1−i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000000000000000
χ6222-222-22-2-22-2-2-2-222−2i−2i2i2i−2i−2i2i2i000000002i−2i2i−2i00002i−2i2i−2i000000000000-22-22−1−i1+i−1−i1+i−1−i1+i−1−i1+i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000000000000000
χ6322-222-22-2-22-2-2-2-222−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i0000−2i2i−2i2i0000000000002-22-21−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000000000000000
χ6422-222-22-2-22-2-2-2-222−2i−2i2i2i−2i−2i2i2i00000000−2i2i−2i2i0000−2i2i−2i2i0000000000002-22-2−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000000000000000
χ6522-22-22-2-2-2-222-222-222-2-2-2-222000000002i−2i−2i2i00002i−2i−2i2i000000000000−2i2i2i−2i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i000000000000000000000000
χ6622-22-22-2-2-2-222-222-222-2-2-2-222000000002i−2i−2i2i00002i−2i−2i2i000000000000−2i2i2i−2i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i000000000000000000000000
χ6722-22-22-2-2-2-222-222-222-2-2-2-22200000000−2i2i2i−2i0000−2i2i2i−2i0000000000002i−2i−2i2i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i000000000000000000000000
χ6822-22-22-2-2-2-222-222-222-2-2-2-22200000000−2i2i2i−2i0000−2i2i2i−2i0000000000002i−2i−2i2i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i000000000000000000000000
χ6922-22-22-2-2-2-222-222-2-2-22222-2-2000000002i−2i−2i2i00002i−2i−2i2i0000000000002i−2i−2i2i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i000000000000000000000000
χ7022-22-22-2-2-2-222-222-2-2-22222-2-2000000002i−2i−2i2i00002i−2i−2i2i0000000000002i−2i−2i2i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i000000000000000000000000
χ7122-22-22-2-2-2-222-222-2-2-22222-2-200000000−2i2i2i−2i0000−2i2i2i−2i000000000000−2i2i2i−2i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i000000000000000000000000
χ7222-22-22-2-2-2-222-222-2-2-22222-2-200000000−2i2i2i−2i0000−2i2i2i−2i000000000000−2i2i2i−2i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i000000000000000000000000
χ7322-2-22-2-2-222-2222-2-200000000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i2-22-200000000000000002ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ00000000000000000000000000000000
χ7422-2-22-2-2-222-2222-2-200000000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i2-22-20000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ00000000000000000000000000000000
χ7522-2-22-2-2-222-2222-2-200000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i-22-22000000002ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ0000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3000000000000000000000000
χ7622-2-22-2-2-222-2222-2-200000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i-22-2200000000−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ00000000000000002ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ3000000000000000000000000
χ7722-2-22-2-2-222-2222-2-20000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i-22-22000000002ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ30000000000000000−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ000000000000000000000000
χ7822-2-22-2-2-222-2222-2-20000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i-22-2200000000−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ300000000000000002ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ000000000000000000000000
χ7922-2-22-2-2-222-2222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2-22-200000000000000002ζ−2ζ−2ζ2ζ2ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ3−2ζ32ζ32ζ3−2ζ300000000000000000000000000000000
χ8022-2-22-2-2-222-2222-2-20000000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2-22-20000000000000000−2ζ2ζ2ζ−2ζ−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ32ζ3−2ζ3−2ζ32ζ300000000000000000000000000000000
χ8122-2-2-222-22-22-22-2-2200000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i2-2-2200000000000000002ζ−2ζ−2ζ2ζ−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ3−2ζ32ζ32ζ3−2ζ300000000000000000000000000000000
χ8222-2-2-222-22-22-22-2-2200000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i2-2-220000000000000000−2ζ2ζ2ζ−2ζ2ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ32ζ3−2ζ3−2ζ32ζ300000000000000000000000000000000
χ8322-2-2-222-22-22-22-2-2200000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i-222-2000000002ζ−2ζ−2ζ2ζ−2ζ2ζ2ζ−2ζ0000000000000000−2ζ32ζ32ζ3−2ζ32ζ3−2ζ3−2ζ32ζ3000000000000000000000000
χ8422-2-2-222-22-22-22-2-2200000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i-222-200000000−2ζ2ζ2ζ−2ζ2ζ−2ζ−2ζ2ζ00000000000000002ζ3−2ζ3−2ζ32ζ3−2ζ32ζ32ζ3−2ζ3000000000000000000000000
χ8522-2-2-222-22-22-22-2-220000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i-222-2000000002ζ3−2ζ3−2ζ32ζ3−2ζ32ζ32ζ3−2ζ30000000000000000−2ζ2ζ2ζ−2ζ2ζ−2ζ−2ζ2ζ000000000000000000000000
χ8622-2-2-222-22-22-22-2-220000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i-222-200000000−2ζ32ζ32ζ3−2ζ32ζ3−2ζ3−2ζ32ζ300000000000000002ζ−2ζ−2ζ2ζ−2ζ2ζ2ζ−2ζ000000000000000000000000
χ8722-2-2-222-22-22-22-2-220000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2-2-2200000000000000002ζ3−2ζ3−2ζ32ζ3−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ−2ζ2ζ2ζ−2ζ00000000000000000000000000000000
χ8822-2-2-222-22-22-22-2-220000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2-2-220000000000000000−2ζ32ζ32ζ3−2ζ32ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ2ζ−2ζ−2ζ2ζ00000000000000000000000000000000
χ892-2-2222-22-2-2-222-2-222-22-22-22-22i−2i2i−2i2i−2i2i−2i00002i−2i2i−2i0000−2i2i−2i2i000000000000000000000000000000000000000000001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00000000
χ902-2-2222-22-2-2-222-2-222-22-22-22-22i−2i2i−2i2i−2i2i−2i00002i−2i2i−2i0000−2i2i−2i2i00000000000000000000000000000000000000000000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00000000
χ912-2-2222-22-2-2-222-2-222-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000−2i2i−2i2i00002i−2i2i−2i000000000000000000000000000000000000000000001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00000000
χ922-2-2222-22-2-2-222-2-222-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000−2i2i−2i2i00002i−2i2i−2i00000000000000000000000000000000000000000000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00000000
χ932-2-2222-22-2-2-222-2-22-22-22-22-222i−2i2i−2i2i−2i2i−2i0000−2i2i−2i2i00002i−2i2i−2i000000000000000000000000000000000000000000001−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i00000000
χ942-2-2222-22-2-2-222-2-22-22-22-22-222i−2i2i−2i2i−2i2i−2i0000−2i2i−2i2i00002i−2i2i−2i00000000000000000000000000000000000000000000−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i00000000
χ952-2-2222-22-2-2-222-2-22-22-22-22-22−2i2i−2i2i−2i2i−2i2i00002i−2i2i−2i0000−2i2i−2i2i000000000000000000000000000000000000000000001+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i00000000
χ962-2-2222-22-2-2-222-2-22-22-22-22-22−2i2i−2i2i−2i2i−2i2i00002i−2i2i−2i0000−2i2i−2i2i00000000000000000000000000000000000000000000−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i00000000
χ972-2-22-2-222-222-222-2-22i−2i2i−2i−2i2i−2i2i2-22-2-22-220000−2i2i2i−2i00002i−2i−2i2i000000000000000000000000000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ982-2-22-2-222-222-222-2-22i−2i2i−2i−2i2i−2i2i2-22-2-22-220000−2i2i2i−2i00002i−2i−2i2i00000000000000000000000000000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ992-2-22-2-222-222-222-2-22i−2i2i−2i−2i2i−2i2i-22-222-22-200002i−2i−2i2i0000−2i2i2i−2i000000000000000000000000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i00000000
χ1002-2-22-2-222-222-222-2-22i−2i2i−2i−2i2i−2i2i-22-222-22-200002i−2i−2i2i0000−2i2i2i−2i00000000000000000000000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000000
χ1012-2-22-2-222-222-222-2-2−2i2i−2i2i2i−2i2i−2i2-22-2-22-2200002i−2i−2i2i0000−2i2i2i−2i000000000000000000000000000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ1022-2-22-2-222-222-222-2-2−2i2i−2i2i2i−2i2i−2i2-22-2-22-2200002i−2i−2i2i0000−2i2i2i−2i00000000000000000000000000000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ1032-2-22-2-222-222-222-2-2−2i2i−2i2i2i−2i2i−2i-22-222-22-20000−2i2i2i−2i00002i−2i−2i2i000000000000000000000000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i00000000
χ1042-2-22-2-222-222-222-2-2−2i2i−2i2i2i−2i2i−2i-22-222-22-20000−2i2i2i−2i00002i−2i−2i2i00000000000000000000000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000000
χ1054-4444-4-4-44-44-4-44-444i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-4444-4-4-44-44-4-44-44−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-444-444-444-44-4-4-4-44-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-444-444-444-44-4-4-4-4-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-44-44-44-4-4-4444-44-40000000000000000000044440000-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000
χ1104-44-44-44-4-4-4444-44-400000000000000000000-4-4-4-40000444400000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-4-44-4-4-44-4-444440000000000000000000044-4-40000-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ1124-44-4-44-4-4-44-4-4444400000000000000000000-4-444000044-4-400000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4-444444-4-4-4-444-4000000004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-4-444444-4-4-4-444-400000000−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4-4-4-444444-4-444000000004-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-4-4-444444-4-44400000000-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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