Finite Group Databasebeta

← Group #206424

Character table — Group #206424

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12224444222244444444444444448888888888888888244444444444444444448888888888888888888888882224444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-11111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-111-1-1-1-111
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ911111111-1-1111111-1-1-1-111-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-1-11-11-1-111-1-111
χ1011111111-1-1111111-1-1-1-111-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11-111-1-111-1-1
χ1111111111-1-1111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-11111-1-1-1-1
χ1211111111-1-1111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-111-1-1-1-11111
χ1311111111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-11111
χ1411111111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-1-1111111-1-1-1-1
χ1511111111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11-11-1-11-1111-1-111-1-1
χ1611111111-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-111
χ171111-1-1-1-111-1-111-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i
χ181111-1-1-1-111-1-111-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii
χ191111-1-1-1-111-1-111-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-11-1-11−iii−ii−i−ii
χ201111-1-1-1-111-1-111-1-111-1-111-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-111-111-1i−i−ii−iii−i
χ211111-1-1-1-111-1-111-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-11-1-11i−i−ii−iii−i
χ221111-1-1-1-111-1-111-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-111-111-1−iii−ii−i−ii
χ231111-1-1-1-111-1-111-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii
χ241111-1-1-1-111-1-111-1-111-1-111-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-1-1-11111i−ii−ii−ii−i
χ251111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-11-11-11-1−iii−i−iii−i
χ261111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-11-11-11-11i−i−iii−i−ii
χ271111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1-11-1-111i−ii−i−ii−ii
χ281111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-111-111-1-1−ii−iii−ii−i
χ291111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1-11-1-111−ii−iii−ii−i
χ301111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-111-111-1-1i−ii−i−ii−ii
χ311111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-11-11-11-1i−i−iii−i−ii
χ321111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-11-11-11-11−iii−i−iii−i
χ33222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002-2-2222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ34222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002-2-22-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ352222222222-2-222-2-2-2-2-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-2-222-2000000000000000022-2-222-2-200000000000000000000000000000000
χ362222222222-2-222-2-2-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222-222-20000000000000000-2-222-2-22200000000000000000000000000000000
χ372222222222-2-2-2-2222222-2-22222-2-20000000000000000-2-2-2-200000000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ382222222222-2-2-2-2222222-2-22222-2-20000000000000000-2-2-2-2000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ3922222222-2-222-2-2-2-2222222-2-2-2-2-2-20000000000000000-222-222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ4022222222-2-222-2-2-2-2222222-2-2-2-2-2-20000000000000000-222-2-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ4122222222-2-2-2-222-2-22222-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-22-2-220000000000000000-2-222-2-22200000000000000000000000000000000
χ4222222222-2-2-2-222-2-22222-2-2-2-2-2-222-2-2-2-22222-2-2-2-222222-2-22000000000000000022-2-222-2-200000000000000000000000000000000
χ4322222222-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2-20000000000000000222200000000000000000000000022-2-222-2-2-2-222-2-2220000000000000000
χ4422222222-2-2-2-2-2-222-2-2-2-2-2-2-2-222-2-200000000000000002222000000000000000000000000-2-222-2-22222-2-222-2-20000000000000000
χ452222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i22-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ462222-2-2-2-222222222-2-222-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i22-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ472222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2222200000000000000002-22-200000000000000000000000022-2-2-2-22222-2-2-2-2220000000000000000
χ482222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2222200000000000000002-22-2000000000000000000000000-2-22222-2-2-2-22222-2-20000000000000000
χ492222-2-2-2-222-2-2-2-222-2-22222-2-2-2-2220000000000000000-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ502222-2-2-2-222-2-2-2-222-2-22222-2-2-2-2220000000000000000-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ512222-2-2-2-2-2-222222222-2-2-2-222-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ522222-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ532222-2-2-2-2-2-222-2-2-2-2-2-222-2-22222220000000000000000-22-2200000000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ542222-2-2-2-2-2-222-2-2-2-2-2-222-2-22222220000000000000000-22-22000000000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
χ552222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-222000000000000000022-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-222000000000000000022-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ5722-2-22i−2i2i−2i2-200002i−2i2-22i−2i002i−2i2-2001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00001+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+i002-2002i−2i002-2002i−2i0000000000000000
χ5822-2-22i−2i2i−2i2-200002i−2i2-22i−2i002i−2i2-2001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0000−1−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+i00-2200−2i2i00-2200−2i2i0000000000000000
χ5922-2-22i−2i2i−2i2-200002i−2i2-22i−2i002i−2i2-200−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00001+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−i00-2200−2i2i00-2200−2i2i0000000000000000
χ6022-2-22i−2i2i−2i2-200002i−2i2-22i−2i002i−2i2-200−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0000−1−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−i002-2002i−2i002-2002i−2i0000000000000000
χ6122-2-22i−2i2i−2i2-20000−2i2i-22−2i2i002i−2i-22001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i2-2002i−2i002-2002i−2i000000000000000000
χ6222-2-22i−2i2i−2i2-20000−2i2i-22−2i2i002i−2i-22001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i-2200−2i2i00-2200−2i2i000000000000000000
χ6322-2-22i−2i2i−2i2-20000−2i2i-22−2i2i002i−2i-2200−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i-2200−2i2i00-2200−2i2i000000000000000000
χ6422-2-22i−2i2i−2i2-20000−2i2i-22−2i2i002i−2i-2200−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i2-2002i−2i002-2002i−2i000000000000000000
χ6522-2-22i−2i2i−2i-2200002i−2i-22−2i2i00−2i2i2-2001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00001+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−i002-2002i−2i00-2200−2i2i0000000000000000
χ6622-2-22i−2i2i−2i-2200002i−2i-22−2i2i00−2i2i2-2001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0000−1−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+i−1+i1−i−1+i1−i00-2200−2i2i002-2002i−2i0000000000000000
χ6722-2-22i−2i2i−2i-2200002i−2i-22−2i2i00−2i2i2-200−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00001+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−i1−i−1+i1−i−1+i00-2200−2i2i002-2002i−2i0000000000000000
χ6822-2-22i−2i2i−2i-2200002i−2i-22−2i2i00−2i2i2-200−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0000−1−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+i002-2002i−2i00-2200−2i2i0000000000000000
χ6922-2-22i−2i2i−2i-220000−2i2i2-22i−2i00−2i2i-22001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i2-2002i−2i00-2200−2i2i000000000000000000
χ7022-2-22i−2i2i−2i-220000−2i2i2-22i−2i00−2i2i-22001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i-2200−2i2i002-2002i−2i000000000000000000
χ7122-2-22i−2i2i−2i-220000−2i2i2-22i−2i00−2i2i-2200−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i-2200−2i2i002-2002i−2i000000000000000000
χ7222-2-22i−2i2i−2i-220000−2i2i2-22i−2i00−2i2i-2200−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i0000−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i2-2002i−2i00-2200−2i2i000000000000000000
χ7322-2-2−2i2i−2i2i2-200002i−2i-222i−2i00−2i2i-22001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i2-200−2i2i002-200−2i2i000000000000000000
χ7422-2-2−2i2i−2i2i2-200002i−2i-222i−2i00−2i2i-22001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i-22002i−2i00-22002i−2i000000000000000000
χ7522-2-2−2i2i−2i2i2-200002i−2i-222i−2i00−2i2i-2200−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i-22002i−2i00-22002i−2i000000000000000000
χ7622-2-2−2i2i−2i2i2-200002i−2i-222i−2i00−2i2i-2200−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i2-200−2i2i002-200−2i2i000000000000000000
χ7722-2-2−2i2i−2i2i2-20000−2i2i2-2−2i2i00−2i2i2-2001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00001−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−i002-200−2i2i002-200−2i2i0000000000000000
χ7822-2-2−2i2i−2i2i2-20000−2i2i2-2−2i2i00−2i2i2-2001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000−1+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−i00-22002i−2i00-22002i−2i0000000000000000
χ7922-2-2−2i2i−2i2i2-20000−2i2i2-2−2i2i00−2i2i2-200−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00001−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+i00-22002i−2i00-22002i−2i0000000000000000
χ8022-2-2−2i2i−2i2i2-20000−2i2i2-2−2i2i00−2i2i2-200−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000−1+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+i002-200−2i2i002-200−2i2i0000000000000000
χ8122-2-2−2i2i−2i2i-2200002i−2i2-2−2i2i002i−2i-22001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i2-200−2i2i00-22002i−2i000000000000000000
χ8222-2-2−2i2i−2i2i-2200002i−2i2-2−2i2i002i−2i-22001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i-22002i−2i002-200−2i2i000000000000000000
χ8322-2-2−2i2i−2i2i-2200002i−2i2-2−2i2i002i−2i-2200−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i-22002i−2i002-200−2i2i000000000000000000
χ8422-2-2−2i2i−2i2i-2200002i−2i2-2−2i2i002i−2i-2200−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i0000−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i2-200−2i2i00-22002i−2i000000000000000000
χ8522-2-2−2i2i−2i2i-220000−2i2i-222i−2i002i−2i2-2001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00001−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+i002-200−2i2i00-22002i−2i0000000000000000
χ8622-2-2−2i2i−2i2i-220000−2i2i-222i−2i002i−2i2-2001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000−1+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−i−1−i1+i−1−i1+i00-22002i−2i002-200−2i2i0000000000000000
χ8722-2-2−2i2i−2i2i-220000−2i2i-222i−2i002i−2i2-200−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00001−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+i1+i−1−i1+i−1−i00-22002i−2i002-200−2i2i0000000000000000
χ8822-2-2−2i2i−2i2i-220000−2i2i-222i−2i002i−2i2-200−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000−1+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−i002-200−2i2i00-22002i−2i0000000000000000
χ894-44-44i−4i−4i4i00004-40000000000004i−4i00004ζ3−4ζ34ζ3−4ζ300004ζ−4ζ4ζ−4ζ000000000000000000000000000000000000000000000000000000000000
χ904-44-44i−4i−4i4i00004-40000000000004i−4i0000−4ζ34ζ3−4ζ34ζ30000−4ζ4ζ−4ζ4ζ000000000000000000000000000000000000000000000000000000000000
χ914-44-44i−4i−4i4i0000-44000000000000−4i4i4ζ3−4ζ34ζ3−4ζ300004ζ−4ζ4ζ−4ζ0000000000000000000000000000000000000000000000000000000000000000
χ924-44-44i−4i−4i4i0000-44000000000000−4i4i−4ζ34ζ3−4ζ34ζ30000−4ζ4ζ−4ζ4ζ0000000000000000000000000000000000000000000000000000000000000000
χ934-44-4−4i4i4i−4i00004-4000000000000−4i4i00004ζ−4ζ4ζ−4ζ00004ζ3−4ζ34ζ3−4ζ3000000000000000000000000000000000000000000000000000000000000
χ944-44-4−4i4i4i−4i00004-4000000000000−4i4i0000−4ζ4ζ−4ζ4ζ0000−4ζ34ζ3−4ζ34ζ3000000000000000000000000000000000000000000000000000000000000
χ954-44-4−4i4i4i−4i0000-440000000000004i−4i4ζ−4ζ4ζ−4ζ00004ζ3−4ζ34ζ3−4ζ30000000000000000000000000000000000000000000000000000000000000000
χ964-44-4−4i4i4i−4i0000-440000000000004i−4i−4ζ4ζ−4ζ4ζ0000−4ζ34ζ3−4ζ34ζ30000000000000000000000000000000000000000000000000000000000000000
χ974-4-4444-4-4004-4000000004-40000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ984-4-4444-4-4004-4000000004-4000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ994-4-4444-4-400-4400000000-440000002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000
χ1004-4-4444-4-400-4400000000-44000000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-444004-400000000-4400000022−22−2222−222222−22−222222−2222−22−2222000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-4-444004-400000000-44000000−222222−2222−22−222222−22−2222−222222−22000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-4-44400-44000000004-400000022−22−222222−22−2222−222222−22−222222−22000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-4-44400-44000000004-4000000−222222−22−222222−2222−22−222222−22−2222000000000000000000000000000000000000000000000000000000000000

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