Finite Group Databasebeta

← Group #13138914

Character table — Group #13138914

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444446666666666666666121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order122244443666121212128824242424336666661212121212121212366612121212242424242424242424242424242424242244888888884444668812121212121212121212242424242424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ61111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ71111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1
χ81111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111
χ91111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i1-11-111i−i-1-111-1-111-1-1ii−i−iii−i−iii−i−i
χ101111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii−i−iii-11-1111i−i-1-1-1-111-1-111ii−i−i−i−iii−i−iii
χ111111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−i−i−iii1-1-11-1-1−ii1111-1-1-1-111−i−iiiii−i−i−i−iii
χ121111-1-1-1-11111-1-1-1-1i−iii−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iiiii−i−i-111-1-1-1−ii11-1-11111-1-1−i−iii−i−iiiii−i−i
χ131111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−iii−i−i-11-1111−ii-1-1-1-111-1-111−i−iiiii−i−iii−i−i
χ141111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii1-11-111−ii-1-111-1-111-1-1−i−iii−i−iii−i−iii
χ151111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i−i−iii-111-1-1-1i−i11-1-11111-1-1ii−i−iii−i−i−i−iii
χ161111-1-1-1-11111-1-1-1-1−ii−i−iii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iiiii−i−i1-1-11-1-1i−i1111-1-1-1-111ii−i−i−i−iiiii−i−i
χ1722222222222222222222222-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000222200220000000000-1-1-1-100000000-1-1-1-1
χ1822222222222222222222222-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-200-2-200000000001111000000001111
χ192222222222222222222222-12-12-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000222200002200000000-1-1-1-100000000-1-1-1-10000
χ202222222222222222222222-12-12-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000-2-20000000011110000000011110000
χ212222222222222222-2-2-2-2-2-22-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000222200-2-20000000000111100000000-1-1-1-1
χ222222222222222222-2-2-2-2-2-22-12-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000-2-2-2-200220000000000-1-1-1-1000000001111
χ232222222222222222-2-2-2-2-2-2-12-12-1-122-1-122-1-122-1-1-1-1-1-1-1-111-2-211-2-211111111000022220000-2-200000000111100000000-1-1-1-10000
χ242222222222222222-2-2-2-2-2-2-12-12-1-122-1-122-1-122-1-1-1-1-1-1-1-111-2-211-2-2111111110000-2-2-2-200002200000000-1-1-1-10000000011110000
χ252222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i2-12-122-1-1-2-211-2-211-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii000000002i2i−2i−2i002-20000000000-1-11100000000−i−iii
χ262222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i2-12-122-1-1-2-211-2-211-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii00000000−2i−2i2i2i00-22000000000011-1-100000000ii−i−i
χ272222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i-12-12-1-12211-2-211-2-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii00002i2i−2i−2i00002-200000000-1-11100000000−i−iii0000
χ282222-2-2-2-22222-2-2-2-22i−2i2i2i−2i−2i-12-12-1-12211-2-211-2-2-1-1-1-11111−i−i2i2iii−2i−2i−i−i−i−iiiii0000−2i−2i2i2i0000-220000000011-1-100000000ii−i−i0000
χ292222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i2-12-122-1-1-2-211-2-211-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i000000002i2i−2i−2i00-22000000000011-1-100000000−i−iii
χ302222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i2-12-122-1-1-2-211-2-211-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i00000000−2i−2i2i2i002-20000000000-1-11100000000ii−i−i
χ312222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i-12-12-1-12211-2-211-2-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i00002i2i−2i−2i0000-220000000011-1-100000000−i−iii0000
χ322222-2-2-2-22222-2-2-2-2−2i2i−2i−2i2i2i-12-12-1-12211-2-211-2-2-1-1-1-11111ii−2i−2i−i−i2i2iiiii−i−i−i−i0000−2i−2i2i2i00002-200000000-1-11100000000ii−i−i0000
χ3322-2-222-2-22-2-2222-2-20000002222-2-2-2-22222-2-2-2-22-2-2222-2-200000000000000002-22-20000000000002-2002-200000000000000000000
χ3422-2-222-2-22-2-2222-2-20000002222-2-2-2-22222-2-2-2-22-2-2222-2-20000000000000000-22-22000000000000-2200-2200000000000000000000
χ3522-2-2-2-2222-2-22-2-2220000002222-2-2-2-2-2-2-2-222222-2-22-2-22200000000000000002-2-220000000000002-200-2200000000000000000000
χ3622-2-2-2-2222-2-22-2-2220000002222-2-2-2-2-2-2-2-222222-2-22-2-2220000000000000000-222-2000000000000-22002-200000000000000000000
χ372-22-22i−2i2i−2i22-2-22i−2i2i−2i00000022-2-22-22-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2i−2i0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ382-22-22i−2i2i−2i22-2-22i−2i2i−2i00000022-2-22-22-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2i−2i000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ392-22-22i−2i2i−2i22-2-22i−2i2i−2i0000002-1-212-2-112i−2i−ii2i−2i−ii-1-111−ii−ii00−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000−i3i33−300000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ402-22-22i−2i2i−2i22-2-22i−2i2i−2i0000002-1-212-2-112i−2i−ii2i−2i−ii-1-111−ii−ii00−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000i3−i3−3300000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ412-22-22i−2i2i−2i22-2-22i−2i2i−2i0000002-1-212-2-112i−2i−ii2i−2i−ii-1-111−ii−ii00ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000i3−i3−3300000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ422-22-22i−2i2i−2i22-2-22i−2i2i−2i0000002-1-212-2-112i−2i−ii2i−2i−ii-1-111−ii−ii00ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000−i3i33−300000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ432-22-2−2i2i−2i2i22-2-2−2i2i−2i2i00000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i2i−2i2i000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ442-22-2−2i2i−2i2i22-2-2−2i2i−2i2i00000022-2-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i2i−2i2i0000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ452-22-2−2i2i−2i2i22-2-2−2i2i−2i2i0000002-1-212-2-11−2i2ii−i−2i2ii−i-1-111i−ii−i00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000i3−i33−300000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ462-22-2−2i2i−2i2i22-2-2−2i2i−2i2i0000002-1-212-2-11−2i2ii−i−2i2ii−i-1-111i−ii−i00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000−i3i3−3300000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ472-22-2−2i2i−2i2i22-2-2−2i2i−2i2i0000002-1-212-2-11−2i2ii−i−2i2ii−i-1-111i−ii−i00−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000−i3i3−3300000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ482-22-2−2i2i−2i2i22-2-2−2i2i−2i2i0000002-1-212-2-11−2i2ii−i−2i2ii−i-1-111i−ii−i00−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000i3−i33−300000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ492-2-222i−2i−2i2i2-22-22i−2i−2i2i00000022-2-2-22-222i−2i2i−2i−2i2i−2i2i2-22-22i−2i−2i2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000
χ502-2-222i−2i−2i2i2-22-22i−2i−2i2i00000022-2-2-22-222i−2i2i−2i−2i2i−2i2i2-22-22i−2i−2i2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000
χ512-2-222i−2i−2i2i2-22-22i−2i−2i2i000000-121-21-1-22−ii2i−2ii−i−2i2i-11-11−iii−iζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000−i3i33−300000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ230000
χ522-2-222i−2i−2i2i2-22-22i−2i−2i2i000000-121-21-1-22−ii2i−2ii−i−2i2i-11-11−iii−iζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000i3−i3−3300000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ230000
χ532-2-222i−2i−2i2i2-22-22i−2i−2i2i000000-121-21-1-22−ii2i−2ii−i−2i2i-11-11−iii−i−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000i3−i3−3300000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ230000
χ542-2-222i−2i−2i2i2-22-22i−2i−2i2i000000-121-21-1-22−ii2i−2ii−i−2i2i-11-11−iii−i−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000−i3i33−300000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ230000
χ552-2-22−2i2i2i−2i2-22-2−2i2i2i−2i00000022-2-2-22-22−2i2i−2i2i2i−2i2i−2i2-22-2−2i2i2i−2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000
χ562-2-22−2i2i2i−2i2-22-2−2i2i2i−2i00000022-2-2-22-22−2i2i−2i2i2i−2i2i−2i2-22-2−2i2i2i−2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000
χ572-2-22−2i2i2i−2i2-22-2−2i2i2i−2i000000-121-21-1-22i−i−2i2i−ii2i−2i-11-11i−i−ii−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000i3−i33−300000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ130000
χ582-2-22−2i2i2i−2i2-22-2−2i2i2i−2i000000-121-21-1-22i−i−2i2i−ii2i−2i-11-11i−i−ii−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000−i3i3−3300000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ130000
χ592-2-22−2i2i2i−2i2-22-2−2i2i2i−2i000000-121-21-1-22i−i−2i2i−ii2i−2i-11-11i−i−iiζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000−i3i3−3300000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ130000
χ602-2-22−2i2i2i−2i2-22-2−2i2i2i−2i000000-121-21-1-22i−i−2i2i−ii2i−2i-11-11i−i−iiζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000i3−i33−300000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ130000
χ614444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ624444444444444444-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ644444-4-4-4-44444-4-4-4-4−4i4i−4i−4i4i4i-2-2-2-2-2-2-2-2222222221111-1-1-1-12i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
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χ6844-4-444-4-44-4-4444-4-4000000-2-2-2-22222-2-2-2-222221-1-1111-1-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ6944-4-4-4-4444-4-44-4-4440000004-24-2-4-422-4-42244-2-2-222-222-2-20000000000000000000000000000000000000000000000000000000000
χ7044-4-4-4-4444-4-44-4-444000000-24-2422-4-422-4-4-2-244-222-222-2-20000000000000000000000000000000000000000000000000000000000
χ7144-4-4-4-4444-4-44-4-444000000-2-2-2-222222222-2-2-2-21-1-11-1-111000000003-3-333-3-33000000000000000000000000000000000000000000
χ7244-4-4-4-4444-4-44-4-444000000-2-2-2-222222222-2-2-2-21-1-11-1-11100000000-333-3-333-3000000000000000000000000000000000000000000
χ734-44-44i−4i4i−4i44-4-44i−4i4i−4i000000-242-4-224-4−2i2i4i−4i−2i2i4i−4i-2-222−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ744-44-44i−4i4i−4i44-4-44i−4i4i−4i000000-2-222-22-22−2i2i−2i2i−2i2i−2i2i11-1-1i−ii−i00−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000000000000000000000000000000000
χ754-44-44i−4i4i−4i44-4-44i−4i4i−4i000000-2-222-22-22−2i2i−2i2i−2i2i−2i2i11-1-1i−ii−i002ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000000000000000000000000000000000
χ764-44-4−4i4i−4i4i44-4-4−4i4i−4i4i000000-242-4-224-42i−2i−4i4i2i−2i−4i4i-2-2222i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ774-44-4−4i4i−4i4i44-4-4−4i4i−4i4i000000-2-222-22-222i−2i2i−2i2i−2i2i−2i11-1-1−ii−ii002ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000000000000000000000000000000000
χ784-44-4−4i4i−4i4i44-4-4−4i4i−4i4i000000-2-222-22-222i−2i2i−2i2i−2i2i−2i11-1-1−ii−ii00−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000000000000000000000000000000000
χ794-4-444i−4i−4i4i4-44-44i−4i−4i4i0000004-2-42-442-24i−4i−2i2i−4i4i2i−2i-22-22−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ804-4-444i−4i−4i4i4-44-44i−4i−4i4i000000-2-2222-22-2−2i2i−2i2i2i−2i2i−2i1-11-1i−i−ii2ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000000000000
χ814-4-444i−4i−4i4i4-44-44i−4i−4i4i000000-2-2222-22-2−2i2i−2i2i2i−2i2i−2i1-11-1i−i−ii−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000000000000
χ824-4-44−4i4i4i−4i4-44-4−4i4i4i−4i0000004-2-42-442-2−4i4i2i−2i4i−4i−2i2i-22-222i−2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ834-4-44−4i4i4i−4i4-44-4−4i4i4i−4i000000-2-2222-22-22i−2i2i−2i−2i2i−2i2i1-11-1−iii−i−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000000000000
χ844-4-44−4i4i4i−4i4-44-4−4i4i4i−4i000000-2-2222-22-22i−2i2i−2i−2i2i−2i2i1-11-1−iii−i2ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000000000000
χ8566666666-3-3-3-3-3-3-3-366-3-3-3-300000000000000000000000000000000000000002222000000000000-1-122-1-100000000-1-1-1-100000000
χ8666666666-3-3-3-3-3-3-3-366-3-3-3-30000000000000000000000000000000000000000-2-2-2-200000000000011-2-21100000000111100000000
χ8766666666-3-3-3-3-3-3-3-3-6-6333300000000000000000000000000000000000000002222000000000000-1-1-2-2-1-100000000111100000000
χ8866666666-3-3-3-3-3-3-3-3-6-633330000000000000000000000000000000000000000-2-2-2-200000000000011221100000000-1-1-1-100000000
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χ906666-6-6-6-6-3-3-3-333336i−6i−3i−3i3i3i0000000000000000000000000000000000000000-2-22200000000000011−2i2i-1-100000000ii−i−i00000000
χ916666-6-6-6-6-3-3-3-33333−6i6i3i3i−3i−3i000000000000000000000000000000000000000022-2-2000000000000-1-1−2i2i1100000000ii−i−i00000000
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χ9366-6-666-6-6-333-3-3-3330033−3333−3300000000000000000000000000000000000000002-22-2000000000000-1100-11000000003−33−300000000
χ9466-6-666-6-6-333-3-3-3330033−3333−330000000000000000000000000000000000000000-22-220000000000001-1001-100000000−33−3300000000
χ9566-6-666-6-6-333-3-3-33300−3333−333300000000000000000000000000000000000000002-22-2000000000000-1100-1100000000−33−3300000000
χ9666-6-666-6-6-333-3-3-33300−3333−33330000000000000000000000000000000000000000-22-220000000000001-1001-1000000003−33−300000000
χ9766-6-6-6-666-333-333-3-300−3i33i33i3−3i300000000000000000000000000000000000000002-2-22000000000000-11001-100000000−i3i3i3−i300000000
χ9866-6-6-6-666-333-333-3-300−3i33i33i3−3i30000000000000000000000000000000000000000-222-20000000000001-100-1100000000i3−i3−i3i300000000
χ9966-6-6-6-666-333-333-3-3003i3−3i3−3i33i300000000000000000000000000000000000000002-2-22000000000000-11001-100000000i3−i3−i3i300000000
χ10066-6-6-6-666-333-333-3-3003i3−3i3−3i33i30000000000000000000000000000000000000000-222-20000000000001-100-1100000000−i3i3i3−i300000000
χ10112-1212-1212i−12i12i−12i-6-666−6i6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10212-1212-12−12i12i−12i12i-6-6666i−6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10312-12-121212i−12i−12i12i-66-66−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10412-12-1212−12i12i12i−12i-66-666i−6i−6i6i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.