Finite Group Databasebeta

← Group #11789947

Character table — Group #11789947

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order12224444223344666666121212121212121236666666121212121212121244444444888888886688121224242424242424242424242424242424121212121212121224242424242424248888888824446612121212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1i−i11ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-11111-1-1-1-1i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1−ii11−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-11111−ii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1i−i11ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-11-111-1-111-1-1−ii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1−ii11−i−iii−i−iii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-11-1-111-1-111i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11-11-1-111-1-111−ii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1−ii11−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-11-111-1-111-1-1i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1i−i11ii−i−iii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-11111i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1−ii11−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-11111-1-1-1-1−ii
χ1722222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-12222222200000000-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002002-1-10000-1-100
χ1822222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-12222222200000000-1-1-2-2-1-11111-2-2-2-211111111-1-1-1-1-1-1-1-10000000000000000-200-21100001100
χ1922222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1111111110000000000000000-200-21100001100
χ2022222222222-122-1-1222-122-1-1-1-122-122-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-2-2-1-11111-2-2-2-2111111111111111100000000000000002002-1-10000-1-100
χ212222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-10000000022222222-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000022000-1-1-1-10000
χ222222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-10000000022222222-1-1-2-2-1-1-2-2-2-211111111111100000000-1-1-1-1-1-1-1-1000000000-2-200011110000
χ232222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-100000000-2-2-2-2-2-2-2-2-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000011111111000000000-2-200011110000
χ242222222222-122222-1-1-12-1-12222-1-1-1-1-12-1-1-12-1-122-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-2-2-1-1-2-2-2-2111111111111000000001111111100000000022000-1-1-1-10000
χ2522222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-222220000000022-2-222-2-2-2-200-2-200000000000000000000000022-2-222-2-20000000000000000000000
χ2622222222-2-222-2-2222222222222222-2-2-2222-2-2-2-2-2222200000000-2-222-2-222-2-200-2-2000000000000000000000000-2-222-2-2220000000000000000000000
χ2722222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-10000000022-2-222-2-21100110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300000000-1-111-1-11100000000000000−i3i3−i3i30000
χ2822222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-10000000022-2-222-2-21100110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i300000000-1-111-1-11100000000000000i3−i3i3−i30000
χ2922222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-100000000-2-222-2-2221100110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000000011-1-111-1-100000000000000i3−i3i3−i30000
χ3022222222-2-2-12-2-222-1-1-12-1-12222-1-1-111-2-1-1-1-211-2-2-1-1-1-100000000-2-222-2-2221100110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000000011-1-111-1-100000000000000−i3i3−i3i30000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000002i2i−2i−2i−2i−2i2i2i2200-2-20000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000−2i−2i2i2i2i2i−2i−2i2200-2-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000
χ332222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-21111000000002i2i−2i−2i−2i−2i2i2i-1-1001100003−3−3333−3−3−3−33300000000−i−iiiii−i−i00000000000000−i3i3i3−i30000
χ342222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-21111000000002i2i−2i−2i−2i−2i2i2i-1-100110000−333−3−3−33333−3−300000000−i−iiiii−i−i00000000000000i3−i3−i3i30000
χ352222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-2111100000000−2i−2i2i2i2i2i−2i−2i-1-1001100003−3−3333−3−3−3−33300000000ii−i−i−i−iii00000000000000i3−i3−i3i30000
χ362222-2-2-2-222-12-2-222-1-1-1211-2-2-2-211-1-1-12-1-1-1211-2-2111100000000−2i−2i2i2i2i2i−2i−2i-1-100110000−333−3−3−33333−3−300000000ii−i−i−i−iii00000000000000−i3i3i3−i30000
χ372222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-111112i2i2i2i−2i−2i−2i−2i00000000112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000200-2-1-100001100
χ382222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-111112i2i2i2i−2i−2i−2i−2i0000000011−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000-2002110000-1-100
χ392222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-11111−2i−2i−2i−2i2i2i2i2i00000000112i−2i-1-1−i−iii2i2i−2i−2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000-2002110000-1-100
χ402222-2-2-2-2-2-22-122-1-1222-1-2-21111-2-2-1-2-21-1-1-1122-1-11111−2i−2i−2i−2i2i2i2i2i0000000011−2i2i-1-1ii−i−i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000000000200-2-1-100001100
χ412222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-1221111000000002i2i2i2i−2i−2i−2i−2i112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii00000000−i−i−i−iiiii0000000002-2000-1-1110000
χ422222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-1221111000000002i2i2i2i−2i−2i−2i−2i11−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i00000000−i−i−i−iiiii000000000-2200011-1-10000
χ432222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-122111100000000−2i−2i−2i−2i2i2i2i2i112i−2i-1-12i2i−2i−2i−i−iii−i−i−i−iiiii00000000iiii−i−i−i−i000000000-2200011-1-10000
χ442222-2-2-2-2-2-2-122222-1-1-1211-2-2-2-211-111-2-1-1-1-2-1-122111100000000−2i−2i−2i−2i2i2i2i2i11−2i2i-1-1−2i−2i2i2iii−i−iiiii−i−i−i−i00000000iiii−i−i−i−i0000000002-2000-1-1110000
χ4522-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300000000000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23−i2−i2i2i222−2−200000000000000
χ4622-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300000000000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23i2i2−i2−i2−2−22200000000000000
χ4722-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000000000000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23i2i2−i2−i2−2−22200000000000000
χ4822-2-22i−2i2i−2i0022002-2-22-2-22i−2i2i−2i2i−2i2i−2i20002-2-2000002i−2i2i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000000000000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23−i2−i2i2i222−2−200000000000000
χ4922-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300000000000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13i2i2−i2−i222−2−200000000000000
χ5022-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300000000000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13−i2−i2i2i2−2−22200000000000000
χ5122-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000000000000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13−i2−i2i2i2−2−22200000000000000
χ5222-2-2−2i2i−2i2i0022002-2-22-2-2−2i2i−2i2i−2i2i−2i2i20002-2-200000−2i2i−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000000000000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13i2i2−i2−i222−2−200000000000000
χ532-22-22i−2i−2i2i002200-22-2-22-2−2i2i−2i2i2i−2i2i−2i2000-22-200000−2i2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13002−22−2−i2i2−i2i200000000000000
χ542-22-22i−2i−2i2i002200-22-2-22-2−2i2i−2i2i2i−2i2i−2i2000-22-200000−2i2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ1300−22−22i2−i2i2−i200000000000000
χ552-22-22i−2i−2i2i002200-22-2-22-2−2i2i−2i2i2i−2i2i−2i2000-22-200000−2i2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ1300−22−22i2−i2i2−i200000000000000
χ562-22-22i−2i−2i2i002200-22-2-22-2−2i2i−2i2i2i−2i2i−2i2000-22-200000−2i2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13002−22−2−i2i2−i2i200000000000000
χ572-22-2−2i2i2i−2i002200-22-2-22-22i−2i2i−2i−2i2i−2i2i2000-22-2000002i−2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23002−22−2i2−i2i2−i200000000000000
χ582-22-2−2i2i2i−2i002200-22-2-22-22i−2i2i−2i−2i2i−2i2i2000-22-2000002i−2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ2300−22−22−i2i2−i2i200000000000000
χ592-22-2−2i2i2i−2i002200-22-2-22-22i−2i2i−2i−2i2i−2i2i2000-22-2000002i−2i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ2300−22−22−i2i2−i2i200000000000000
χ602-22-2−2i2i2i−2i002200-22-2-22-22i−2i2i−2i−2i2i−2i2i2000-22-2000002i−2i−2i2i−1+i1−i−1+i1−i−1−i1+i−1−i1+i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23002−22−2i2−i2i2−i200000000000000
χ612-2-2222-2-22-2222-2-2-22-2-22-2-2-2-2222222-22-2-22-22-22-2-2-22200000000000000002-2002-2000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ622-2-2222-2-22-2222-2-2-22-2-22-2-2-2-2222222-22-2-22-22-22-2-2-22200000000000000002-2002-200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ632-2-2222-2-2-2222-22-2-22-2-22-2-2-2-222222-22-2-2-222-22-22-2-2222-2-222-2-2200000000-2200-2200000000000000002-2-222-2-22000000000000000000000000000000
χ642-2-2222-2-2-2222-22-2-22-2-22-2-2-2-222222-22-2-2-222-22-22-2-222-222-2-222-200000000-2200-220000000000000000-222-2-222-2000000000000000000000000000000
χ652-2-2222-2-2-222-1-22112-2-2-1-2-211-1-122-1-22111-1-1-221-111-1-12-2-222-2-22000000001-1001-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-111-1-111-100000000000000000000−i3i30000−i3i300
χ662-2-2222-2-2-222-1-22112-2-2-1-2-211-1-122-1-22111-1-1-221-111-1-12-2-222-2-22000000001-1001-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-111-1-111-100000000000000000000i3−i30000i3−i300
χ672-2-2222-2-2-222-1-22112-2-2-1-2-211-1-122-1-22111-1-1-221-111-1-1-222-2-222-2000000001-1001-1−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i31-1-111-1-1100000000000000000000i3−i30000i3−i300
χ682-2-2222-2-2-222-1-22112-2-2-1-2-211-1-122-1-22111-1-1-221-111-1-1-222-2-222-2000000001-1001-1i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i31-1-111-1-1100000000000000000000−i3i30000−i3i300
χ692-2-22-2-2222-222-22-2-22-2-222222-2-2-2-222-22-2-22-2-22-2222-2-22i−2i−2i2i−2i2i2i−2i000000002-200-2200000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ702-2-22-2-2222-222-22-2-22-2-222222-2-2-2-222-22-2-22-2-22-2222-2-2−2i2i2i−2i2i−2i−2i2i000000002-200-220000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ712-2-22-2-2222-22-1-22112-2-2-122-1-111-2-2-12-2-111-11-221-1-1-1112i−2i−2i2i−2i2i2i−2i00000000-11001-13−3−3300003−33−3−33−33−iii−ii−i−ii00000000000000000000−i3i30000i3−i300
χ722-2-22-2-2222-22-1-22112-2-2-122-1-111-2-2-12-2-111-11-221-1-1-1112i−2i−2i2i−2i2i2i−2i00000000-11001-1−333−30000−33−333−33−3−iii−ii−i−ii00000000000000000000i3−i30000−i3i300
χ732-2-22-2-2222-22-1-22112-2-2-122-1-111-2-2-12-2-111-11-221-1-1-111−2i2i2i−2i2i−2i−2i2i00000000-11001-13−3−3300003−33−3−33−33i−i−ii−iii−i00000000000000000000i3−i30000−i3i300
χ742-2-22-2-2222-22-1-22112-2-2-122-1-111-2-2-12-2-111-11-221-1-1-111−2i2i2i−2i2i−2i−2i2i00000000-11001-1−333−30000−33−333−33−3i−i−ii−iii−i00000000000000000000−i3i30000i3−i300
χ752-2-22-2-222-22222-2-2-22-2-222222-2-2-2-22-22-2-2-2222-22-222-2-20000000000000000-22002-2000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ762-2-22-2-222-22222-2-2-22-2-222222-2-2-2-22-22-2-2-2222-22-222-2-20000000000000000-22002-200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ774444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-211110000000000000000114411-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000
χ784444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2111-2-2-2-2-21111000000000000000011-4-41122222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ7944444444-4-44-2-4-4-2-2444-244-2-2-2-244-2-4-42-2-2-22-4-422-2-2-2-20000000000000000220022000000000000000000000000000000000000000000000000000000
χ8044444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-212221112222211110000000000000000-1-100-1-10000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000
χ8144444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-212221112222211110000000000000000-1-100-1-100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000
χ824444-4-4-4-4444-2-4-4-2-2444-2-4-42222-4-4-244-2-2-2-2-2-4-42222220000000000000000-2-20022000000000000000000000000000000000000000000000000000000
χ834444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-2-2-2111-22222-1-1-1-100000000000000001100-1-1000023−23−2323−3−33333−3−300000000000000000000000000000000000000
χ844444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-2-2-2111-22222-1-1-1-100000000000000001100-1-10000−232323−2333−3−3−3−33300000000000000000000000000000000000000
χ854444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112-2-2-2-2-1-1-1-10000000000000000-1-14i−4i11−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i00000000000000000000000000000000000000
χ864444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212221112-2-2-2-2-1-1-1-10000000000000000-1-1−4i4i112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii00000000000000000000000000000000000000
χ8744-4-44i−4i4i−4i004-200-22-44-424i−4i−2i2i−2i2i4i−4i-2000-22200000−2i2i−2i2i2+2i2+2i−2−2i−2−2i2−2i2−2i−2+2i−2+2i000000000000000000000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000000000
χ8844-4-44i−4i4i−4i004-200-22-44-424i−4i−2i2i−2i2i4i−4i-2000-22200000−2i2i−2i2i−2−2i−2−2i2+2i2+2i−2+2i−2+2i2−2i2−2i0000000000000000000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000000000
χ8944-4-44i−4i4i−4i00-24004-42-22-4−2i2i4i−4i4i−4i−2i2i-2000-22200000−2i2i−2i2i0000000000−4ζ5−4ζ134ζ5+4ζ13004ζ7+4ζ23−4ζ7−4ζ23000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000000000000000000000
χ9044-4-44i−4i4i−4i00-24004-42-22-4−2i2i4i−4i4i−4i−2i2i-2000-22200000−2i2i−2i2i00000000004ζ5+4ζ13−4ζ5−4ζ1300−4ζ7−4ζ234ζ7+4ζ2300000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000000000000000000000
χ9144-4-4−4i4i−4i4i004-200-22-44-42−4i4i2i−2i2i−2i−4i4i-2000-222000002i−2i2i−2i2−2i2−2i−2+2i−2+2i2+2i2+2i−2−2i−2−2i000000000000000000000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000000000
χ9244-4-4−4i4i−4i4i004-200-22-44-42−4i4i2i−2i2i−2i−4i4i-2000-222000002i−2i2i−2i−2+2i−2+2i2−2i2−2i−2−2i−2−2i2+2i2+2i0000000000000000000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000000000
χ9344-4-4−4i4i−4i4i00-24004-42-22-42i−2i−4i4i−4i4i2i−2i-2000-222000002i−2i2i−2i00000000004ζ7+4ζ23−4ζ7−4ζ2300−4ζ5−4ζ134ζ5+4ζ1300000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000000000000000000000
χ9444-4-4−4i4i−4i4i00-24004-42-22-42i−2i−4i4i−4i4i2i−2i-2000-222000002i−2i2i−2i0000000000−4ζ7−4ζ234ζ7+4ζ23004ζ5+4ζ13−4ζ5−4ζ13000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000000000000000000000
χ954-44-44i−4i−4i4i004-2002-2-4-442−4i4i2i−2i−2i2i4i−4i-20002-22000002i−2i−2i2i2+2i−2−2i2+2i−2−2i2−2i−2+2i2−2i−2+2i000000000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000000000000000
χ964-44-44i−4i−4i4i004-2002-2-4-442−4i4i2i−2i−2i2i4i−4i-20002-22000002i−2i−2i2i−2−2i2+2i−2−2i2+2i−2+2i2−2i−2+2i2−2i0000000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000000000000000
χ974-44-44i−4i−4i4i00-2400-4422-2-42i−2i−4i4i4i−4i−2i2i-20002-22000002i−2i−2i2i000000004ζ7+4ζ23−4ζ7−4ζ2300−4ζ5−4ζ134ζ5+4ζ1300000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ984-44-44i−4i−4i4i00-2400-4422-2-42i−2i−4i4i4i−4i−2i2i-20002-22000002i−2i−2i2i00000000−4ζ7−4ζ234ζ7+4ζ23004ζ5+4ζ13−4ζ5−4ζ13000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ994-44-4−4i4i4i−4i004-2002-2-4-4424i−4i−2i2i2i−2i−4i4i-20002-2200000−2i2i2i−2i2−2i−2+2i2−2i−2+2i2+2i−2−2i2+2i−2−2i000000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000000000000000000000
χ1004-44-4−4i4i4i−4i004-2002-2-4-4424i−4i−2i2i2i−2i−4i4i-20002-2200000−2i2i2i−2i−2+2i2−2i−2+2i2−2i−2−2i2+2i−2−2i2+2i0000000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000000000000000000000
χ1014-44-4−4i4i4i−4i00-2400-4422-2-4−2i2i4i−4i−4i4i2i−2i-20002-2200000−2i2i2i−2i00000000−4ζ5−4ζ134ζ5+4ζ13004ζ7+4ζ23−4ζ7−4ζ23000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ1024-44-4−4i4i4i−4i00-2400-4422-2-4−2i2i4i−4i−4i4i2i−2i-20002-2200000−2i2i2i−2i000000004ζ5+4ζ13−4ζ5−4ζ1300−4ζ7−4ζ234ζ7+4ζ2300000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ1034-4-4444-4-44-44-24-4224-4-4-2-4-422-2-244-24-4-222-224-4-2222-2-20000000000000000-2200-22000000000000000000000000000000000000000000000000000000
χ1044-4-4444-4-44-4-244-4-4-4-222422-4-444-2-2-2-22422-2-4-224-422-2-20000000000000000-2200-22000000000000000000000000000000000000000000000000000000
χ1054-4-4444-4-44-4-2-24-422-222-22222-2-2-2-21-22-2-1-112-22-22-1-11100000000000000001-1001-1000000003-3-333-3-3300000000000000000000000000000000000000
χ1064-4-4444-4-44-4-2-24-422-222-22222-2-2-2-21-22-2-1-112-22-22-1-11100000000000000001-1001-100000000-333-3-333-300000000000000000000000000000000000000
χ1074-4-4444-4-4-44-24-44-4-4-222422-4-444-2-2-22-2-422-242-2-4422-2-200000000000000002-2002-2000000000000000000000000000000000000000000000000000000
χ1084-4-4444-4-4-44-2-2-4422-222-22222-2-2-2-212-22-1-11-22-22-2-1-1110000000000000000-1100-11−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000
χ1094-4-4444-4-4-44-2-2-4422-222-22222-2-2-2-212-22-1-11-22-22-2-1-1110000000000000000-1100-112i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000
χ1104-4-44-4-4444-4-24-44-4-4-2224-2-244-4-422-2-22422-2-42-2-44-2-2220000000000000000-22002-2000000000000000000000000000000000000000000000000000000
χ1114-4-44-4-4444-4-2-2-4422-222-2-2-2-2-222221-22-2-1-1122-22-211-1-100000000000000001-100-1123−23−23230000−33−333−33−300000000000000000000000000000000000000
χ1124-4-44-4-4444-4-2-2-4422-222-2-2-2-2-222221-22-2-1-1122-22-211-1-100000000000000001-100-11−232323−2300003−33−3−33−3300000000000000000000000000000000000000
χ1134-4-44-4-444-444-24-4224-4-4-244-2-222-4-4-2-44222-2-24-4-22-2-22200000000000000002-200-22000000000000000000000000000000000000000000000000000000
χ1144-4-44-4-444-44-244-4-4-4-2224-2-244-4-422-22-2-422-24-224-4-2-22200000000000000002-200-22000000000000000000000000000000000000000000000000000000
χ1154-4-44-4-444-44-2-24-422-222-2-2-2-2-2222212-22-1-11-2-22-2211-1-10000000000000000-11001-1000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ1164-4-44-4-444-44-2-24-422-222-2-2-2-2-2222212-22-1-11-2-22-2211-1-10000000000000000-11001-100000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ11788-8-88i−8i8i−8i00-4-400-444-444−4i4i−4i4i−4i4i−4i4i20002-2-2000002i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8−8i8i−8i8i00-4-400-444-4444i−4i4i−4i4i−4i4i−4i20002-2-200000−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-88i−8i−8i8i00-4-4004-444-444i−4i4i−4i−4i4i−4i4i2000-22-200000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8−8i8i8i−8i00-4-4004-444-44−4i4i−4i4i4i−4i4i−4i2000-22-2000002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000

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