Finite Group Databasebeta

← Group #11777697

Character table — Group #11777697

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212181818182424242424242424242424242424242424242424363636363636
order1222444433444466666612121212121212123666888812121212121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444488888888448812121212121212122424242424242424888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1
χ611111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111
χ711111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i1-1i−i11-1-111-1-1ii−i−iii−i−ii−iii−i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii1-1−ii11-1-111-1-1−i−iii−i−iii−ii−i−iii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii-11i−i-1-111-1-111ii−i−iii−i−i−ii−i−iii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i-11−ii-1-111-1-111−i−iii−i−iiii−iii−i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1ii−i−iii−i−i-11−ii11-1-1-1-111ii−i−i−i−iiii−i−i−iii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1−i−iii−i−iii-11i−i11-1-1-1-111−i−iiiii−i−i−iiii−i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111ii−i−i−i−iii1-1−ii-1-11111-1-1ii−i−i−i−iii−iiii−i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111−i−iiiii−i−i1-1i−i-1-11111-1-1−i−iiiii−i−ii−i−i−iii
χ172222222222-2-2-2-22222222222222222220000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000222200000000000000000000-2-20000
χ182222222222-2-2-2-22222222222222222220000-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-2-2-2-200000000000000000000220000
χ19222222222-12222222-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000002200-1-1-1-1-1-1-1-100000000000000
χ20222222222-12222222-1-1-1-1-1-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-2001111111100000000000000
χ21222222222-12222222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111222200000000-2-200-1-1-1-1111100000000000000
χ22222222222-12222222-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-20000000022001111-1-1-1-100000000000000
χ2322222222-122222-1-1-12222222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000002200000000-1-1-1-1-1-1-1-1000000
χ2422222222-122222-1-1-12222222-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-20000000011111111000000
χ2522222222-122222-1-1-12222222-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100002222000000-2-200000000-1-1-1-11111000000
χ2622222222-122222-1-1-12222222-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-2-2-2-200000022000000001111-1-1-1-1000000
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222200002222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000002i2i−2i−2i00000000000000000000−2i2i0000
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222200002222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i−2i2i2i000000000000000000002i−2i0000
χ292222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-122-2-2-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111122-2-2000000002-200-1-111-1-11100000000000000
χ302222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-122-2-2-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111-2-22200000000-220011-1-111-1-100000000000000
χ312222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-1-2-222-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-122-2-200000000-2200-1-11111-1-100000000000000
χ322222-2-2-2-22-122-2-2222-1-1-11111-2-2-2-2-1-1-1-1-2-222-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-222000000002-20011-1-1-1-11100000000000000
χ332222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-122-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100002i2i−2i−2i0000002i−2i00000000−i−iii−i−iii000000
χ342222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-122-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−2i−2i2i2i000000−2i2i00000000ii−i−iii−i−i000000
χ352222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-1-2-22211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100002i2i−2i−2i000000−2i2i00000000−i−iiiii−i−i000000
χ362222-2-2-2-2-1222-2-2-1-1-1222-2-2-2-21111-1-1-1-1-2-22211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−2i−2i2i2i0000002i−2i00000000ii−i−i−i−iii000000
χ372-22-22i2i−2i−2i2200002-2-2-22-22i2i−2i−2i2i2i−2i−2i22-2-22−2−i2i200002i2i−2i−2i00000000000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000001+i−1−i1−i−1+i
χ382-22-22i2i−2i−2i2200002-2-2-22-22i2i−2i−2i2i2i−2i−2i22-2-22−2−i2i200002i2i−2i−2i00000000000022−2−222−2−22222−2−2−2−2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000−1−i1+i−1+i1−i
χ392-22-22i2i−2i−2i2200002-2-2-22-22i2i−2i−2i2i2i−2i−2i22-2-2−22i2−i200002i2i−2i−2i000000000000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000−1−i1+i−1+i1−i
χ402-22-22i2i−2i−2i2200002-2-2-22-22i2i−2i−2i2i2i−2i−2i22-2-2−22i2−i200002i2i−2i−2i000000000000−2−222−2−222−2−2−2−22222i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000001+i−1−i1−i−1+i
χ412-22-2−2i−2i2i2i2200002-2-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-22−2i2−i20000−2i−2i2i2i00000000000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000001−i−1+i1+i−1−i
χ422-22-2−2i−2i2i2i2200002-2-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-22−2i2−i20000−2i−2i2i2i00000000000022−2−222−2−22222−2−2−2−2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000−1+i1−i−1−i1+i
χ432-22-2−2i−2i2i2i2200002-2-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-2−22−i2i20000−2i−2i2i2i000000000000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000−1+i1−i−1−i1+i
χ442-22-2−2i−2i2i2i2200002-2-2-22-2−2i−2i2i2i−2i−2i2i2i22-2-2−22−i2i20000−2i−2i2i2i000000000000−2−222−2−222−2−2−2−22222−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000001−i−1+i1+i−1−i
χ452-2-222i−2i2i−2i222-22i−2i-22-2-2-222i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-222-2-2000000000000000000000000000000002i−2i2-20000000000002i−2i2-2000000000000000000
χ462-2-222i−2i2i−2i222-22i−2i-22-2-2-222i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2-22-222-2-200000000000000000000000000000000−2i2i-22000000000000−2i2i-22000000000000000000
χ472-2-222i−2i2i−2i22-22−2i2i-22-2-2-222i−2i2i−2i2i−2i2i−2i2-22-20000−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i-22-22-2-2220000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000
χ482-2-222i−2i2i−2i22-22−2i2i-22-2-2-222i−2i2i−2i2i−2i2i−2i2-22-20000−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i-22-22-2-222000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000
χ492-2-222i−2i2i−2i2-12-22i−2i-22-211-1−ii−ii2i−2i2i−2i-11-1100002i−2i−ii−ii−ii−i−iii2-2-11-1-1110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300003−33−333−3−333−3−32i−2i2-2000000000000−ii-113−3−i3i300000000000000
χ502-2-222i−2i2i−2i2-12-22i−2i-22-211-1−ii−ii2i−2i2i−2i-11-1100002i−2i−ii−ii−ii−i−iii2-2-11-1-1110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i300003−33−333−3−333−3−3−2i2i-22000000000000i−i1-1−33i3−i300000000000000
χ512-2-222i−2i2i−2i2-12-22i−2i-22-211-1−ii−ii2i−2i2i−2i-11-1100002i−2i−ii−ii−ii−i−iii2-2-11-1-1110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000−33−33−3−333−3−3332i−2i2-2000000000000−ii-11−33i3−i300000000000000
χ522-2-222i−2i2i−2i2-12-22i−2i-22-211-1−ii−ii2i−2i2i−2i-11-1100002i−2i−ii−ii−ii−i−iii2-2-11-1-1110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000−33−33−3−333−3−333−2i2i-22000000000000i−i1-13−3−i3i300000000000000
χ532-2-222i−2i2i−2i-12-22−2i2i1-11-2-222i−2i2i−2i−ii−ii-11-110000i−i−2i2i−ii−iiii−i−i1-1-2211-1-13−33−300003−33−33−33−3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ542-2-222i−2i2i−2i-12-22−2i2i1-11-2-222i−2i2i−2i−ii−ii-11-110000i−i−2i2i−ii−iiii−i−i1-1-2211-1-13−33−300003−33−33−33−3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ552-2-222i−2i2i−2i-12-22−2i2i1-11-2-222i−2i2i−2i−ii−ii-11-110000i−i−2i2i−ii−iiii−i−i1-1-2211-1-1−33−330000−33−33−33−33i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ562-2-222i−2i2i−2i-12-22−2i2i1-11-2-222i−2i2i−2i−ii−ii-11-110000i−i−2i2i−ii−iiii−i−i1-1-2211-1-1−33−330000−33−33−33−33i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i30000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
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χ1124-44-4−4i−4i4i4i-2-20000-2222-222i2i−2i−2i2i2i−2i−2i11-1-122−222i2−2i20000−i−iii-333-30000−3i3i3i−3i−2−222−2−222−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−i2−i2i2i2−i2−i2i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ2300000000000000000000000000000000000000
χ1134-44-4−4i−4i4i4i-2-20000-2222-222i2i−2i−2i2i2i−2i−2i11-1-1−2222−2i22i20000−i−iii3-3-3300003i−3i−3i3i22−2−222−2−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23i2i2−i2−i2i2i2−i2−i2ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ2300000000000000000000000000000000000000
χ1144-44-4−4i−4i4i4i-2-20000-2222-222i2i−2i−2i2i2i−2i−2i11-1-1−2222−2i22i20000−i−iii-333-30000−3i3i3i−3i22−2−222−2−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23i2i2−i2−i2i2i2−i2−i2−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ2300000000000000000000000000000000000000
χ1154-4-444i−4i4i−4i4-2-44−4i4i-44-422-2−2i2i−2i2i4i−4i4i−4i-22-220000−4i4i2i−2i−2i2i−2i2i2i2i−2i−2i-442-222-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-444i−4i4i−4i-244-44i−4i2-22-4-444i−4i4i−4i−2i2i−2i2i-22-220000−2i2i4i−4i−2i2i−2i2i−2i−2i2i2i-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000
χ1174-4-444i−4i4i−4i-2-24-44i−4i2-2222-2−2i2i−2i2i−2i2i−2i2i1-11-10000−2i2i−2i2ii−ii−iii−i−i-22-2211-1-10000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3000023−2323−23−3−333−3−33300000000000000000000000000000000000000
χ1184-4-444i−4i4i−4i-2-24-44i−4i2-2222-2−2i2i−2i2i−2i2i−2i2i1-11-10000−2i2i−2i2ii−ii−iii−i−i-22-2211-1-100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000−2323−232333−3−333−3−300000000000000000000000000000000000000
χ1194-4-444i−4i4i−4i-2-2-44−4i4i2-2222-2−2i2i−2i2i−2i2i−2i2i1-11-100002i−2i2i−2ii−ii−i−i−iii2-22-2-1-11123−2323−230000−33−33−33−33−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000
χ1204-4-444i−4i4i−4i-2-2-44−4i4i2-2222-2−2i2i−2i2i−2i2i−2i2i1-11-100002i−2i2i−2ii−ii−i−i−iii2-22-2-1-111−2323−232300003−33−33−33−32i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000
χ1214-4-44−4i4i−4i4i4-2-444i−4i-44-422-22i−2i2i−2i−4i4i−4i4i-22-2200004i−4i−2i2i2i−2i2i−2i−2i−2i2i2i-442-222-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1224-4-44−4i4i−4i4i-244-4−4i4i2-22-4-44−4i4i−4i4i2i−2i2i−2i-22-2200002i−2i−4i4i2i−2i2i−2i2i2i−2i−2i-224-4-2-2220000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-44−4i4i−4i4i-2-24-4−4i4i2-2222-22i−2i2i−2i2i−2i2i−2i1-11-100002i−2i2i−2i−ii−ii−i−iii-22-2211-1-10000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000−2323−232333−3−333−3−300000000000000000000000000000000000000
χ1244-4-44−4i4i−4i4i-2-24-4−4i4i2-2222-22i−2i2i−2i2i−2i2i−2i1-11-100002i−2i2i−2i−ii−ii−i−iii-22-2211-1-100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3000023−2323−23−3−333−3−33300000000000000000000000000000000000000
χ1254-4-44−4i4i−4i4i-2-2-444i−4i2-2222-22i−2i2i−2i2i−2i2i−2i1-11-10000−2i2i−2i2i−ii−iiii−i−i2-22-2-1-11123−2323−230000−33−33−33−332i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000
χ1264-4-44−4i4i−4i4i-2-2-444i−4i2-2222-22i−2i2i−2i2i−2i2i−2i1-11-10000−2i2i−2i2i−ii−iiii−i−i2-22-2-1-111−2323−232300003−33−33−33−3−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000

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