Finite Group Databasebeta

← Group #13032555

Character table — Group #13032555

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size1111222244444444444555588888881010101010101010101010101010101010101010161616161616161616202020202020202020202020202020202020203232404040404040404040
order12224444444588881010104444224202020202244888888888888888810102020204040404022488888888888888881020444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1
χ31111111111111111111-1-1-1-11111111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i111111111-1-1-1-1-1-1-1i−iiii−i−i−iii−i−i11-1-1-1i−iii−i−i
χ41111111111111111111-1-1-1-11111111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii111111111-1-1-1-1-1-1-1−ii−i−i−iiii−i−iii11-1-1-1−ii−i−iii
χ5111111111111-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-11-1111-11-1
χ6111111111111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1111-1-1-1-1-1-1-111-1111111-1-1-11-1-1-1-11-11
χ7111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii11111-1-1-1-1-1-1-11111i−ii−i−i−iii−i−iii-1-11-11i−ii−i−ii
χ8111111111111-1-1-1-1111-1-1-1-11-1-11111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i11111-1-1-1-1-1-1-11111−ii−iiii−i−iii−i−i-1-11-11−ii−iii−i
χ9111111111-1-1111111111111-1-1-1111111111111111111111111-1-11-1-11111-1-111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ10111111111-1-1111111111111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-111111-1-1-111-111-1-1-1-1-1-1-1-1-1111111
χ11111111111-1-111111111-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-11-1-1111111-1-1-1-1-1i−ii−i−i−iiiii−i−i-1-1111−ii−i−iii
χ12111111111-1-111111111-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-11-1-1111111-1-1-1-1-1−ii−iiii−i−i−i−iii-1-1111i−iii−i−i
χ13111111111-1-11-1-1-1-11111111-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1111-11-1-1-11-11
χ14111111111-1-11-1-1-1-11111111-11111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111-11111-11-1
χ15111111111-1-11-1-1-1-1111-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii-1-11-1-1-1-1-1-111-11111i−iiii−i−i−i−i−iii11-11-1−ii−iii−i
χ16111111111-1-11-1-1-1-1111-1-1-1-1-1111111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i-1-11-1-1-1-1-1-111-11111−ii−i−i−iiiiii−i−i11-11-1i−ii−i−ii
χ171111-1-111-111111-1-11111111-11-11-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-11-1-11-1-111111-1-1-1111-11-11
χ181111-1-111-111111-1-11111111-11-11-1-11-1-111-1-1-1-1111111111111-1-1-11111-1-111-111-1-111-111-111-1-1-1-11-1-1-11-1-11-11-1
χ191111-1-111-111111-1-1111-1-1-1-1-11-11-1-1111-1-1ii−i−i−i−iii−i−i−i−iiiii-1-1-11111-1-1-1-11-1-111−iii−i−i−iiiii−i−i1-111-1i−i−iii−i
χ201111-1-111-111111-1-1111-1-1-1-1-11-11-1-1111-1-1−i−iiiii−i−iiiii−i−i−i−i-1-1-11111-1-1-1-11-1-111i−i−iiii−i−i−i−iii1-111-1−iii−i−ii
χ211111-1-111-1111-1-1111111111-1-111-1-11-1-1111111-1-1-1-111111111-1-1-111-1-11111-1-1-111-1-1111111-1-1-1-1-111-1-111-1-1-1-1
χ221111-1-111-1111-1-1111111111-1-111-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11111-1-1-1-1-1-11111-111-1-1-1-11111
χ231111-1-111-1111-1-111111-1-1-1-1-1-111-1-1111-1-1ii−i−i−i−iiiiiii−i−i−i−i-1-1-111-1-111-1-1111-1-1−iiiii−i−i−i−i−iii-11-111i−i−i−iii
χ241111-1-111-1111-1-111111-1-1-1-1-1-111-1-1111-1-1−i−iiiii−i−i−i−i−i−iiiii-1-1-111-1-111-1-1111-1-1i−i−i−i−iiiiii−i−i-11-111−iiii−i−i
χ251111-1-111-1-1-1111-1-111111111-111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-111-1-1-1-11111111111-1111-1-1-11-11-1
χ261111-1-111-1-1-1111-1-111111111-111-1-11-1-111-1-1-1-111111111111111-1-1-111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-111-11-11
χ271111-1-111-1-1-1111-1-1111-1-1-1-11-111-1-1111-1-1ii−i−i−i−iii−i−i−i−iiiii11-1-1-111-1-1111-1-111−iiiii−i−i−iii−i−i-11-1-11−iii−i−ii
χ281111-1-111-1-1-1111-1-1111-1-1-1-11-111-1-1111-1-1−i−iiiii−i−iiiii−i−i−i−i11-1-1-111-1-1111-1-111i−i−i−i−iiii−i−iii-11-1-11i−i−iii−i
χ291111-1-111-1-1-11-1-111111111111-11-1-11-1-1111111-1-1-1-11111111111-1-1-1-1-111-1-1-1-1-111-1-11-1-11-1-1-1-1-1-11-1-111-1-11111
χ301111-1-111-1-1-11-1-111111111111-11-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-11111-111-11111111-1-11111-1-1-1-1
χ311111-1-111-1-1-11-1-111111-1-1-1-111-11-1-1111-1-1ii−i−i−i−iiiiiii−i−i−i−i11-1-1-1-1-11111111-1-1−iii−i−i−iii−i−iii1-11-1-1−iiii−i−i
χ321111-1-111-1-1-11-1-111111-1-1-1-111-11-1-1111-1-1−i−iiiii−i−i−i−i−i−iiiii11-1-1-1-1-11111111-1-1i−i−iiii−i−iii−i−i1-11-1-1i−i−i−iii
χ33222222-2-2-200200002222222000-222-222-2-2222222220000000000-200000000-20000-2-2-200-200000000000000000
χ34222222-2-2-200200002222222000-222-222-2-2-2-2-2-2-2-2-2-20000000000-200000000-2000022200200000000000000000
χ35222222-2-2-20020000222-2-2-2-2000-222-2-2-2222i2i−2i−2i2i2i−2i−2i0000000000-20000000020000−2i2i−2i002i00000000000000000
χ36222222-2-2-20020000222-2-2-2-2000-222-2-2-222−2i−2i2i2i−2i−2i2i2i0000000000-200000000200002i−2i2i00−2i00000000000000000
χ372222-2-2-2-2200200002222222000-2-2-2-2-2-2-2-22222-2-2-2-200000000002000000002000022-200-200000000000000000
χ382222-2-2-2-2200200002222222000-2-2-2-2-2-2-2-2-2-2-2-22222000000000020000000020000-2-2200200000000000000000
χ392222-2-2-2-220020000222-2-2-2-2000-2-2-2-222222i2i−2i−2i−2i−2i2i2i0000000000200000000-200002i−2i−2i002i00000000000000000
χ402222-2-2-2-220020000222-2-2-2-2000-2-2-2-22222−2i−2i2i2i2i2i−2i−2i0000000000200000000-20000−2i2i2i00−2i00000000000000000
χ4122-2-200-2202i−2i20000-22-22i−2i2i−2i000200-2002i−2i00000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ370002i−2i00002-200000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000
χ4222-2-200-2202i−2i20000-22-22i−2i2i−2i000200-2002i−2i000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ370002i−2i00002-2000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3702ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000
χ4322-2-200-2202i−2i20000-22-2−2i2i−2i2i000200-200−2i2i00000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ390002i−2i0000-22000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3902ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000
χ4422-2-200-2202i−2i20000-22-2−2i2i−2i2i000200-200−2i2i000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ390002i−2i0000-2200000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000
χ4522-2-200-220−2i2i20000-22-22i−2i2i−2i000200-2002i−2i00000000−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37000−2i2i0000-22000000002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ3702ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000000000000000
χ4622-2-200-220−2i2i20000-22-22i−2i2i−2i000200-2002i−2i000000002ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000−2i2i0000-2200000000−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ370−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39000000000000000
χ4722-2-200-220−2i2i20000-22-2−2i2i−2i2i000200-200−2i2i00000000−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39000−2i2i00002-200000000−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ390−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37000000000000000
χ4822-2-200-220−2i2i20000-22-2−2i2i−2i2i000200-200−2i2i000000002ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ39000−2i2i00002-2000000002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ3902ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37000000000000000
χ492-22-22i−2i000002i2−i22−22-2-22i−2i−2i2i00002i−2i02-200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371+i−1−i1+i−1−i1−i−1+i1−i−1+i00000i2−i22−20002−2i2−i2000000001−i−1+i1+i−1−i00000000000
χ502-22-22i−2i000002i2−i22−22-2-22i−2i−2i2i00002i−2i02-2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000i2−i22−20002−2i2−i200000000−1+i1−i−1−i1+i00000000000
χ512-22-22i−2i000002i2−i22−22-2-2−2i2i2i−2i00002i−2i0-2200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000i2−i22−2000−22−i2i2000000001+i−1−i1−i−1+i00000000000
χ522-22-22i−2i000002i2−i22−22-2-2−2i2i2i−2i00002i−2i0-22002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391−i−1+i1−i−1+i1+i−1−i1+i−1−i00000i2−i22−2000−22−i2i200000000−1−i1+i−1+i1−i00000000000
χ532-22-22i−2i000002−i2i2−222-2-22i−2i−2i2i00002i−2i02-200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000−i2i2−22000−22−i2i200000000−1+i1−i−1−i1+i00000000000
χ542-22-22i−2i000002−i2i2−222-2-22i−2i−2i2i00002i−2i02-2002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371+i−1−i1+i−1−i1−i−1+i1−i−1+i00000−i2i2−22000−22−i2i2000000001−i−1+i1+i−1−i00000000000
χ552-22-22i−2i000002−i2i2−222-2-2−2i2i2i−2i00002i−2i0-2200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391−i−1+i1−i−1+i1+i−1−i1+i−1−i00000−i2i2−220002−2i2−i200000000−1−i1+i−1+i1−i00000000000
χ562-22-22i−2i000002−i2i2−222-2-2−2i2i2i−2i00002i−2i0-22002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000−i2i2−220002−2i2−i2000000001+i−1−i1−i−1+i00000000000
χ572-22-2−2i2i000002i2−i2−222-2-22i−2i−2i2i0000−2i2i0-2200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ37−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000i2−i2−220002−2−i2i2000000001−i−1+i1+i−1−i00000000000
χ582-22-2−2i2i000002i2−i2−222-2-22i−2i−2i2i0000−2i2i0-22002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ371+i−1−i1+i−1−i1−i−1+i1−i−1+i00000i2−i2−220002−2−i2i200000000−1+i1−i−1−i1+i00000000000
χ592-22-2−2i2i000002i2−i2−222-2-2−2i2i2i−2i0000−2i2i02-200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ391−i−1+i1−i−1+i1+i−1−i1+i−1−i00000i2−i2−22000−22i2−i2000000001+i−1−i1−i−1+i00000000000
χ602-22-2−2i2i000002i2−i2−222-2-2−2i2i2i−2i0000−2i2i02-2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000i2−i2−22000−22i2−i200000000−1−i1+i−1+i1−i00000000000
χ612-22-2−2i2i000002−i2i22−22-2-22i−2i−2i2i0000−2i2i0-2200−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ371+i−1−i1+i−1−i1−i−1+i1−i−1+i00000−i2i22−2000−22i2−i200000000−1+i1−i−1−i1+i00000000000
χ622-22-2−2i2i000002−i2i22−22-2-22i−2i−2i2i0000−2i2i0-22002ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000−i2i22−2000−22i2−i2000000001−i−1+i1+i−1−i00000000000
χ632-22-2−2i2i000002−i2i22−22-2-2−2i2i2i−2i0000−2i2i02-200−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ7−2ζ23−2ζ31−2ζ392ζ7+2ζ23+2ζ31+2ζ39−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000−i2i22−20002−2−i2i200000000−1−i1+i−1+i1−i00000000000
χ642-22-2−2i2i000002−i2i22−22-2-2−2i2i2i−2i0000−2i2i02-2002ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ392ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ13+2ζ21+2ζ29+2ζ37−2ζ13−2ζ21−2ζ29−2ζ372ζ7+2ζ23+2ζ31+2ζ39−2ζ7−2ζ23−2ζ31−2ζ391−i−1+i1−i−1+i1+i−1−i1+i−1−i00000−i2i22−20002−2−i2i2000000001+i−1−i1−i−1+i00000000000
χ6544444444444-14444-1-1-10000444-1-1-1-100000000000000000000-1-1-1-1-1-1-1-1-10000000000000000000-1-1000000000
χ6644444444444-1-4-4-4-4-1-1-100004-4-4-1-1-1-100000000000000000000-1-1-1-1-11111000000000000000000011000000000
χ67444444444-4-4-14444-1-1-10000-4-4-4-1-1-1-10000000000000000000011-111-1-1-1-1000000000000000000011000000000
χ68444444444-4-4-1-4-4-4-4-1-1-10000-444-1-1-1-10000000000000000000011-11111110000000000000000000-1-1000000000
χ694444-4-444-444-144-4-4-1-1-10000-44-4-111-100000000000000000000111-1-1-1-1110000000000000000000-11000000000
χ704444-4-444-444-1-4-444-1-1-10000-4-44-111-100000000000000000000111-1-111-1-100000000000000000001-1000000000
χ714444-4-444-4-4-4-144-4-4-1-1-100004-44-111-100000000000000000000-1-1111-1-11100000000000000000001-1000000000
χ724444-4-444-4-4-4-1-4-444-1-1-1000044-4-111-100000000000000000000-1-111111-1-10000000000000000000-11000000000
χ7344-4-4004-400040000-44-44i−4i4i−4i000-400400−4i4i0000000000000000000000000000000000000000000000000000000
χ7444-4-4004-400040000-44-4−4i4i−4i4i000-4004004i−4i0000000000000000000000000000000000000000000000000000000
χ754-4-44000000040000-4-4444-4-400000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ764-4-44000000040000-4-4444-4-40000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ774-4-44000000040000-4-44-4-444000000000000000000022−22−2222−222222−22000000000000000000000000000000000000000
χ784-4-44000000040000-4-44-4-4440000000000000000000−222222−2222−22−2222000000000000000000000000000000000000000
χ79888888-8-8-800-20000-2-2-200000002-2-2200000000000000000000002000000000000000000000000000000000000
χ808888-8-8-8-8800-20000-2-2-2000000022220000000000000000000000-2000000000000000000000000000000000000
χ8188-8-8008-8000-200002-220000000200-20000000000000000000025−250000000000000000000000000000000000000
χ8288-8-8008-8000-200002-220000000200-200000000000000000000−25250000000000000000000000000000000000000
χ8388-8-800-8808i−8i-200002-220000000-200200000000000000000000000−2i2i0000000000000000000000000000000000
χ8488-8-800-880−8i8i-200002-220000000-2002000000000000000000000002i−2i0000000000000000000000000000000000
χ858-88-88i−8i00000-24i2−4i242−42-22200000000−2i2i00000000000000000000000000−i2i2−22000000000000000000000000000000
χ868-88-88i−8i00000-2−4i24i2−4242-22200000000−2i2i00000000000000000000000000i2−i22−2000000000000000000000000000000
χ878-88-8−8i8i00000-24i2−4i2−4242-222000000002i−2i00000000000000000000000000−i2i22−2000000000000000000000000000000
χ888-88-8−8i8i00000-2−4i24i242−42-222000000002i−2i00000000000000000000000000i2−i2−22000000000000000000000000000000
χ8916-16-16160000000-4000044-40000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.