Finite Group Databasebeta

← Group #13168314

Character table — Group #13168314

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order1222333446666666661212121233366666666612121212121212121212121244441212121236661212121212124444121212121212121212121212121212121212121212121212121212121212121212122244441212121212122446612121212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-111-1-1-111-1-11111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111111111111111-1111-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-111111111111111-11-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-1-11-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-1-1111-1-1-1-11111-1-11-11-1
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-11-111-1-111-1-1-11-11
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11-11-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-111-111-1-111-1-111-11-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-11-1111-1-1-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-1-1111-1111-1-1-1-1111-1-11
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11-11-1-1111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1111-1-1-111-1-111-1-111-111-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-11-1-1-111-11-111-1-111-1-1-111-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1111-1-11-1-1-1-11111-1-11-1-11
χ17222222-12222-12-12-12222222-1-1-12-122-1-1-1-122-1-12222-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1202222-1-12200-1-10000222200000000-1-1-1-1-1-1-1-1000000-1-1-1-1-1-122000000000-1-100
χ18222222-12222-12-12-12222222-1-1-12-122-1-1-1-122-1-12222-1-1-1-100220000-1-1-1-1-1-1-1-1-1-1-202-2-2-2-1-1-2-200-1-10000222200000000-1-1-1-1-1-1-1-1000000111111-2-20000000001100
χ19222222-12222-12-12-12222222-1-1-12-122-1-1-1-122-1-12222-1-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-120-2222112200110000-2-2-2-20000000011111111000000-1-1-1-1-1-1-2-20000000001100
χ20222222-12222-12-12-12222222-1-1-12-122-1-1-1-122-1-12222-1-1-1-100-2-20000-1-1-1-1-1-1-1-1-1-1-20-2-2-2-211-2-200110000-2-2-2-2000000001111111100000011111122000000000-1-100
χ21222222-1-2-222-12-12-122-2-2-2-22-1-1-12-122-1-1-1-1-2-211-2-2-2-2111100220000-1-1-1-111111120-2-222-1-1-2-20011000022-2-200000000-1-1-1-11111000000-1111-1-12-2000000000-1100
χ22222222-1-2-222-12-12-122-2-2-2-22-1-1-12-122-1-1-1-1-2-211-2-2-2-2111100220000-1-1-1-1111111-20-22-2-2-1-1220011000022-2-200000000-1-1-1-111110000001-1-1-111-220000000001-100
χ23222222-1-2-222-12-12-122-2-2-2-22-1-1-12-122-1-1-1-1-2-211-2-2-2-2111100-2-20000-1-1-1-1111111202-22211-2-200-1-10000-2-222000000001111-1-1-1-1000000-1111-1-1-220000000001-100
χ24222222-1-2-222-12-12-122-2-2-2-22-1-1-12-122-1-1-1-1-2-211-2-2-2-2111100-2-20000-1-1-1-1111111-2022-2-2112200-1-10000-2-222000000001111-1-1-1-10000001-1-1-1112-2000000000-1100
χ2522222-12222-12-12-12222222-12-1-1-12-1-122-1-1-1-122-1-1-1-122222200-1-1-1-1-1-1-1-1-1-1-1-1-1-12202-1-100-1-1-1-10022220000-1-1-1-1-1-1-1-10000000022002222-1-1-1-1000-1-1-1-100000000
χ2622222-12222-12-12-12222222-12-1-1-12-1-122-1-1-1-122-1-1-1-122222200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-220-2110011-1-10022220000-1-1-1-1-1-1-1-100000000-2-200-2-2-2-21111000111100000000
χ2722222-12222-12-12-12222222-12-1-1-12-1-122-1-1-1-122-1-1-1-12222-2-2001111-1-1-1-1-1-1-1-1-1-12-202-1-100-1-11100-2-2-2-200001111111100000000-2-200-2-222-1-1-1-1000111100000000
χ2822222-12222-12-12-12222222-12-1-1-12-1-122-1-1-1-122-1-1-1-12222-2-2001111-1-1-1-1-1-1-1-1-1-1-2-20-21100111100-2-2-2-200001111111100000000220022-2-21111000-1-1-1-100000000
χ2922222-12-2-22-12-12-1222-2-2-2-2-12-1-1-12-1-122-1-111-2-21111-2-2-2-22200-1-1-1-1-1-1-1-11111112-20-2-1-10011110022-2-20000-1-1-1-1111100000000-2-200222-211-1-100011-1-100000000
χ3022222-12-2-22-12-12-1222-2-2-2-2-12-1-1-12-1-122-1-111-2-21111-2-2-2-22200-1-1-1-1-1-1-1-1111111-2-2021100-1-1110022-2-20000-1-1-1-11111000000002200-2-2-22-1-111000-1-11100000000
χ3122222-12-2-22-12-12-1222-2-2-2-2-12-1-1-12-1-122-1-111-2-21111-2-2-2-2-2-2001111-1-1-1-1111111220-2-1-10011-1-100-2-22200001111-1-1-1-1000000002200-2-22-211-1-1000-1-11100000000
χ3222222-12-2-22-12-12-1222-2-2-2-2-12-1-1-12-1-122-1-111-2-21111-2-2-2-2-2-2001111-1-1-1-1111111-22021100-1-1-1-100-2-22200001111-1-1-1-100000000-2-20022-22-1-11100011-1-100000000
χ332222-12222-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-102200022002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022000000000020000-1-1-1-10000
χ342222-12222-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-2-22222-1-1-1-122-1-1-1-102-2000-2-20022-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111100-2-20000000000-2000011110000
χ352222-12222-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-122-1-1-1-10-220002200-2-2221111-1-1-1-111111111-1-1-1-1-1-1-1-100-2-20000000000-2000011110000
χ362222-12222-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-10-2-2000-2-200-2-2-2-21111111111111111111111110022000000000020000-1-1-1-10000
χ372222-122-2-2-1222222-1-11111-1-122-1-1-1-1-1-122-2-2-2-21111111122222222-1-1-1-1-2-211110-2-20002200-2-2-2-2-1-111-1-111-1-1-1-11111-1-1-1-1111100220000000000-20000-1-1110000
χ382222-122-2-2-1222222-1-11111-1-122-1-1-1-1-1-122-2-2-2-21111111122-2-22222-1-1-1-1-2-211110-22000-2-200-2-222-1-11111-1-1-1-1-1-111111111-1-1-1-100-2-200000000002000011-1-10000
χ392222-122-2-2-1222222-1-11111-1-122-1-1-1-1-1-122-2-2-2-211111111-2-222-2-2-2-2-1-1-1-1-2-2111102-2000220022-2-211-1-1-1-1111111-1-1-1-1-1-1-1-1111100-2-200000000002000011-1-10000
χ402222-122-2-2-1222222-1-11111-1-122-1-1-1-1-1-122-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-21111022000-2-200222211-1-111-1-11111-1-1-1-11111-1-1-1-100220000000000-20000-1-1110000
χ412-22-222200-2-2-2-2-2222-200002222-2-22-22-2-2-20000000000002i−2i2i−2i2i2i−2i−2i22-2-20000000000002i−2i0000002i−2i002i−2i002i2i−2i−2i00002i2i−2i−2i0000002-20000000000000002-2000000
χ422-22-222200-2-2-2-2-2222-200002222-2-22-22-2-2-20000000000002i−2i−2i2i2i2i−2i−2i22-2-2000000000000−2i2i0000002i−2i00−2i2i002i2i−2i−2i0000−2i−2i2i2i000000-22000000000000000-22000000
χ432-22-222200-2-2-2-2-2222-200002222-2-22-22-2-2-2000000000000−2i2i2i−2i−2i−2i2i2i22-2-20000000000002i−2i000000−2i2i002i−2i00−2i−2i2i2i00002i2i−2i−2i000000-22000000000000000-22000000
χ442-22-222200-2-2-2-2-2222-200002222-2-22-22-2-2-2000000000000−2i2i−2i2i−2i−2i2i2i22-2-2000000000000−2i2i000000−2i2i00−2i2i00−2i−2i2i2i0000−2i−2i2i2i0000002-20000000000000002-2000000
χ452-22-2-122001-2-2-2-222-1133−3−3-1-12211-11-11-2-2000033−3−333−3−32i−2i2i−2i2i2i−2i−2i-1-1110033−3−30000002i−2i000000−ii−i3i3−ii−i3i3−i−iii−i3−i3i3i3−i−iii−i3−i3i3i3002-2000000000000000-113−30000
χ462-22-2-122001-2-2-2-222-1133−3−3-1-12211-11-11-2-2000033−3−333−3−32i−2i−2i2i2i2i−2i−2i-1-1110033−3−3000000−2i2i000000−ii−i3i3i−ii3−i3−i−iii−i3−i3i3i3ii−i−ii3i3−i3−i300-220000000000000001-1−330000
χ472-22-2-122001-2-2-2-222-1133−3−3-1-12211-11-11-2-2000033−3−333−3−3−2i2i2i−2i−2i−2i2i2i-1-1110033−3−30000002i−2i000000i−ii3−i3−ii−i3i3ii−i−ii3i3−i3−i3−i−iii−i3−i3i3i300-220000000000000001-1−330000
χ482-22-2-122001-2-2-2-222-1133−3−3-1-12211-11-11-2-2000033−3−333−3−3−2i2i−2i2i−2i−2i2i2i-1-1110033−3−3000000−2i2i000000i−ii3−i3i−ii3−i3ii−i−ii3i3−i3−i3ii−i−ii3i3−i3−i3002-2000000000000000-113−30000
χ492-22-2-122001-2-2-2-222-11−3−333-1-12211-11-11-2-20000−3−333−3−3332i−2i2i−2i2i2i−2i−2i-1-11100−3−3330000002i−2i000000−iii3−i3−iii3−i3−i−iiii3i3−i3−i3−i−iiii3i3−i3−i3002-2000000000000000-11−330000
χ502-22-2-122001-2-2-2-222-11−3−333-1-12211-11-11-2-20000−3−333−3−3332i−2i−2i2i2i2i−2i−2i-1-11100−3−333000000−2i2i000000−iii3−i3i−i−i3i3−i−iiii3i3−i3−i3ii−i−i−i3−i3i3i300-220000000000000001-13−30000
χ512-22-2-122001-2-2-2-222-11−3−333-1-12211-11-11-2-20000−3−333−3−333−2i2i2i−2i−2i−2i2i2i-1-11100−3−3330000002i−2i000000i−i−i3i3−iii3−i3ii−i−i−i3−i3i3i3−i−iiii3i3−i3−i300-220000000000000001-13−30000
χ522-22-2-122001-2-2-2-222-11−3−333-1-12211-11-11-2-20000−3−333−3−333−2i2i−2i2i−2i−2i2i2i-1-11100−3−333000000−2i2i000000i−i−i3i3i−i−i3i3ii−i−i−i3−i3i3i3ii−i−i−i3−i3i3i3002-2000000000000000-11−330000
χ532-2-222222i−2i-2-2-222-2-2-222i−2i2i−2i222-2-2-2-22-222-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i2i−2i000000000000000000000000000000000000002-2002i−2i0000000002-22i−2i00000000
χ542-2-222222i−2i-2-2-222-2-2-222i−2i2i−2i222-2-2-2-22-222-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000002-22-22i−2i2i−2i2i−2i00000000000000000000000000000000000000-2200−2i2i000000000-22−2i2i00000000
χ552-2-22222−2i2i-2-2-222-2-2-22−2i2i−2i2i222-2-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000002-22-2−2i2i−2i2i−2i2i000000000000000000000000000000000000002-200−2i2i0000000002-2−2i2i00000000
χ562-2-22222−2i2i-2-2-222-2-2-22−2i2i−2i2i222-2-2-2-22-222-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000002-22-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000-22002i−2i000000000-222i−2i00000000
χ572-2-222-122i−2i-21-2-121-2-222i−2i2i−2i-12-111-21-1-22-11−ii2i−2i−ii−ii2i−2i2i−2i0000−i3i3−i3i3-11-11−ii−ii−ii00003−300−i3i33−30000000000−i3i3−i3i33−33−3000000002-2002i−2i00−i3i33−3000-11−ii00000000
χ582-2-222-122i−2i-21-2-121-2-222i−2i2i−2i-12-111-21-1-22-11−ii2i−2i−ii−ii2i−2i2i−2i0000−i3i3−i3i3-11-11−ii−ii−ii0000−3300i3−i33−30000000000−i3i3−i3i33−33−300000000-2200−2i2i00i3−i3−330001-1i−i00000000
χ592-2-222-122i−2i-21-2-121-2-222i−2i2i−2i-12-111-21-1-22-11−ii2i−2i−ii−ii2i−2i2i−2i0000i3−i3i3−i3-11-11−ii−ii−ii00003−300−i3i3−330000000000i3−i3i3−i3−33−3300000000-2200−2i2i00−i3i33−30001-1i−i00000000
χ602-2-222-122i−2i-21-2-121-2-222i−2i2i−2i-12-111-21-1-22-11−ii2i−2i−ii−ii2i−2i2i−2i0000i3−i3i3−i3-11-11−ii−ii−ii0000−3300i3−i3−330000000000i3−i3i3−i3−33−33000000002-2002i−2i00i3−i3−33000-11−ii00000000
χ612-2-222-12−2i2i-21-2-121-2-22−2i2i−2i2i-12-111-21-1-22-11i−i−2i2ii−ii−i−2i2i−2i2i0000−i3i3−i3i3-11-11i−ii−ii−i00003−300i3−i3−330000000000−i3i3−i3i3−33−3300000000-22002i−2i00i3−i33−30001-1−ii00000000
χ622-2-222-12−2i2i-21-2-121-2-22−2i2i−2i2i-12-111-21-1-22-11i−i−2i2ii−ii−i−2i2i−2i2i0000−i3i3−i3i3-11-11i−ii−ii−i0000−3300−i3i3−330000000000−i3i3−i3i3−33−33000000002-200−2i2i00−i3i3−33000-11i−i00000000
χ632-2-222-12−2i2i-21-2-121-2-22−2i2i−2i2i-12-111-21-1-22-11i−i−2i2ii−ii−i−2i2i−2i2i0000i3−i3i3−i3-11-11i−ii−ii−i00003−300i3−i33−30000000000i3−i3i3−i33−33−3000000002-200−2i2i00i3−i33−3000-11i−i00000000
χ642-2-222-12−2i2i-21-2-121-2-22−2i2i−2i2i-12-111-21-1-22-11i−i−2i2ii−ii−i−2i2i−2i2i0000i3−i3i3−i3-11-11i−ii−ii−i0000−3300−i3i33−30000000000i3−i3i3−i33−33−300000000-22002i−2i00−i3i3−330001-1−ii00000000
χ6544444-2-2444-2-2-2-2-2-2444444-2-211-2-2-2-2-2-211-2-2-2-2-2-2-2-2-2-2-2-20000000011111111114004-2-200-2-20000000000000000000000000000000000-2-21111000000000000000
χ6644444-2-2444-2-2-2-2-2-2444444-2-211-2-2-2-2-2-211-2-2-2-2-2-2-2-2-2-2-2-2000000001111111111-400-4220022000000000000000000000000000000000022-1-1-1-1000000000000000
χ6744444-2-2-4-44-2-2-2-2-2-244-4-4-4-4-2-211-2-2-2-2-2-211222222222222000000001111-1-1-1-1-1-1400-4-2-200220000000000000000000000000000000000-22-1-111000000000000000
χ6844444-2-2-4-44-2-2-2-2-2-244-4-4-4-4-2-211-2-2-2-2-2-211222222222222000000001111-1-1-1-1-1-1-40042200-2-200000000000000000000000000000000002-211-1-1000000000000000
χ694444-24-244-24-24-24-2-2-2-2-2-2-2-21-2-2-21-2-211-2-244-2-2-2-2-2-21111004400001111-2-21111004000-2-20000-2-20000-2-2-2-20000000011111111000000000000000000000000000
χ704444-24-244-24-24-24-2-2-2-2-2-2-2-21-2-2-21-2-211-2-244-2-2-2-2-2-2111100-4-400001111-2-2111100-4000220000220000222200000000-1-1-1-1-1-1-1-1000000000000000000000000000
χ714444-24-2-4-4-24-24-24-2-2-22222-21-2-2-21-2-211-2-2-4-4222222-1-1-1-100440000111122-1-1-1-100-4000-2-20000220000-2-222000000001111-1-1-1-1000000000000000000000000000
χ724444-24-2-4-4-24-24-24-2-2-22222-21-2-2-21-2-211-2-2-4-4222222-1-1-1-100-4-40000111122-1-1-1-1004000220000-2-2000022-2-200000000-1-1-1-11111000000000000000000000000000
χ734444-2-2444-2-24-24-24-2-2-2-2-2-21-2-2-21-211-2-2-2-2-2-2441111-2-2-2-24400-2-2-2-21111-2-211110400000000-2-200-2-2-2-200001111111100000000000000000000000000000000000
χ744444-2-2444-2-24-24-24-2-2-2-2-2-21-2-2-21-211-2-2-2-2-2-2441111-2-2-2-2-4-40022221111-2-211110-400000000220022220000-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ754444-2-24-4-4-2-24-24-24-2-222221-2-2-21-211-2-2-2-222-4-4-1-1-1-122224400-2-2-2-2111122-1-1-1-10-4000000002200-2-22200001111-1-1-1-100000000000000000000000000000000000
χ764444-2-24-4-4-2-24-24-24-2-222221-2-2-21-211-2-2-2-222-4-4-1-1-1-12222-4-4002222111122-1-1-1-10400000000-2-20022-2-20000-1-1-1-1111100000000000000000000000000000000000
χ7744-4-444400444-4-4-4-4-4-40000444-444-4-4-4-4-44000000000000000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000000
χ7844-4-444-20044-2-42-42-4-400004-2-224-2-4-4222-200000000000000000000-222-200000000000000000023−230000000000000000000023−2323−23000000000000000000000000000
χ7944-4-444-20044-2-42-42-4-400004-2-224-2-4-4222-200000000000000000000-222-2000000000000000000−232300000000000000000000−2323−2323000000000000000000000000000
χ8044-4-44-24004-242-42-4-4-40000-24-22-2422-4-42-2000000000000000023−23−2323-222-2000000000000000000000000000023−23−2323000000000000000000000000000000000000000
χ8144-4-44-24004-242-42-4-4-40000-24-22-2422-4-42-20000000000000000−232323−23-222-20000000000000000000000000000−232323−23000000000000000000000000000000000000000
χ8244-4-4-24400-244-4-4-4-422−2i32i32i3−2i3-2-24-4-2-22222-440000−2i32i32i3−2i3−2i32i32i3−2i300000000-222-200−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000
χ8344-4-4-24400-244-4-4-4-4222i3−2i3−2i32i3-2-24-4-2-22222-4400002i3−2i3−2i32i32i3−2i3−2i32i300000000-222-2002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000000
χ8444-4-4-24-200-24-2-42-4222−2i32i32i3−2i3-21-22-2122-1-12-20000−2i32i32i3−2i3i3−i3−i3i3000000001-1-1100i3−i3−i3i300000000000023−2300000000000000003i−3i3i−3i−33−33000000000000000000000000000
χ8544-4-4-24-200-24-2-42-4222−2i32i32i3−2i3-21-22-2122-1-12-20000−2i32i32i3−2i3i3−i3−i3i3000000001-1-1100i3−i3−i3i3000000000000−23230000000000000000−3i3i−3i3i3−33−3000000000000000000000000000
χ8644-4-4-24-200-24-2-42-42222i3−2i3−2i32i3-21-22-2122-1-12-200002i3−2i3−2i32i3−i3i3i3−i3000000001-1-1100−i3i3i3−i300000000000023−230000000000000000−3i3i−3i3i−33−33000000000000000000000000000
χ8744-4-4-24-200-24-2-42-42222i3−2i3−2i32i3-21-22-2122-1-12-200002i3−2i3−2i32i3−i3i3i3−i3000000001-1-1100−i3i3i3−i3000000000000−232300000000000000003i−3i3i−3i3−33−3000000000000000000000000000
χ8844-4-4-2-2400-2-242-42-422−2i32i32i3−2i31-2-221-2-1-1222-20000i3−i3−i3i3−2i32i32i3−2i3000023−23−23231-1-1100i3−i3−i3i30000000000000000000000−333−33i−3i−3i3i00000000000000000000000000000000000
χ8944-4-4-2-2400-2-242-42-422−2i32i32i3−2i31-2-221-2-1-1222-20000i3−i3−i3i3−2i32i32i3−2i30000−232323−231-1-1100i3−i3−i3i300000000000000000000003−3−33−3i3i3i−3i00000000000000000000000000000000000
χ9044-4-4-2-2400-2-242-42-4222i3−2i3−2i32i31-2-221-2-1-1222-20000−i3i3i3−i32i3−2i3−2i32i3000023−23−23231-1-1100−i3i3i3−i30000000000000000000000−333−3−3i3i3i−3i00000000000000000000000000000000000
χ9144-4-4-2-2400-2-242-42-4222i3−2i3−2i32i31-2-221-2-1-1222-20000−i3i3i3−i32i3−2i3−2i32i30000−232323−231-1-1100−i3i3i3−i300000000000000000000003−3−333i−3i−3i3i00000000000000000000000000000000000
χ924-44-444-200-4-42-424-24-400004-2-2-2-424-4-2222000000000000004i−4i0000-2-222000000000000−2i2i00000000004i−4i0000000000−2i−2i2i2i0000000000000000000000000000000
χ934-44-444-200-4-42-424-24-400004-2-2-2-424-4-222200000000000000−4i4i0000-2-2220000000000002i−2i0000000000−4i4i00000000002i2i−2i−2i0000000000000000000000000000000
χ944-44-44-2400-42-42-4-244-40000-24-2-22-4-224-4220000000000004i−4i00−2i−2i2i2i-2-222000000000000000000004i−4i000000−2i−2i2i2i000000000000000000000000000000000000000
χ954-44-44-2400-42-42-4-244-40000-24-2-22-4-224-422000000000000−4i4i002i2i−2i−2i-2-22200000000000000000000−4i4i0000002i2i−2i−2i000000000000000000000000000000000000000
χ964-44-4-24-2002-42-424-2-222323−23−23-21-2-22-1-221-12200002323−23−23−3−333004i−4i000011-1-100−3−333000000−2i2i0000000000−2i2i−2i32i300000000ii−i−ii3i3−i3−i3000000000000000000000000000
χ974-44-4-24-2002-42-424-2-222323−23−23-21-2-22-1-221-12200002323−23−23−3−33300−4i4i000011-1-100−3−3330000002i−2i00000000002i−2i2i3−2i300000000−i−iii−i3−i3i3i3000000000000000000000000000
χ984-44-4-24-2002-42-424-2-22−23−232323-21-2-22-1-221-1220000−23−23232333−3−3004i−4i000011-1-10033−3−3000000−2i2i0000000000−2i2i2i3−2i300000000ii−i−i−i3−i3i3i3000000000000000000000000000
χ994-44-4-24-2002-42-424-2-22−23−232323-21-2-22-1-221-1220000−23−23232333−3−300−4i4i000011-1-10033−3−30000002i−2i00000000002i−2i−2i32i300000000−i−iiii3i3−i3−i3000000000000000000000000000
χ1004-44-4-2-240022-42-4-24-222323−23−231-2-2-2-121-1-22220000−3−3332323−23−234i−4i00−2i−2i2i2i11-1-100−3−33300000000000000−2i2i−2i32i30000ii−i−ii3i3−i3−i300000000000000000000000000000000000
χ1014-44-4-2-240022-42-4-24-222323−23−231-2-2-2-121-1-22220000−3−3332323−23−23−4i4i002i2i−2i−2i11-1-100−3−333000000000000002i−2i2i3−2i30000−i−iii−i3−i3i3i300000000000000000000000000000000000
χ1024-44-4-2-240022-42-4-24-22−23−2323231-2-2-2-121-1-2222000033−3−3−23−2323234i−4i00−2i−2i2i2i11-1-10033−3−300000000000000−2i2i2i3−2i30000ii−i−i−i3−i3i3i300000000000000000000000000000000000
χ1034-44-4-2-240022-42-4-24-22−23−2323231-2-2-2-121-1-2222000033−3−3−23−232323−4i4i002i2i−2i−2i11-1-10033−3−3000000000000002i−2i−2i32i30000−i−iiii3i3−i3−i300000000000000000000000000000000000
χ1044-4-4444-24i−4i-4-424-2-42-444i−4i4i−4i4-2-22-42-442-2-224i−4i−2i2i4i−4i4i−4i−2i2i−2i2i00000000-22-22−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4444-2−4i4i-4-424-2-42-44−4i4i−4i4i4-2-22-42-442-2-22−4i4i2i−2i−4i4i−4i4i2i−2i2i−2i00000000-22-222i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ1064-4-444-2-24i−4i-422-2-222-444i−4i4i−4i-2-21-1222-22-21-1−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000001-11-1i−ii−ii−i000023−2300−2i32i3000000000000000000000000000000000000i3−i3−33000000000000000
χ1074-4-444-2-24i−4i-422-2-222-444i−4i4i−4i-2-21-1222-22-21-1−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000001-11-1i−ii−ii−i0000−2323002i3−2i3000000000000000000000000000000000000−i3i33−3000000000000000
χ1084-4-444-2-2−4i4i-422-2-222-44−4i4i−4i4i-2-21-1222-22-21-12i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000001-11-1−ii−ii−ii000023−23002i3−2i3000000000000000000000000000000000000−i3i3−33000000000000000
χ1094-4-444-2-2−4i4i-422-2-222-44−4i4i−4i4i-2-21-1222-22-21-12i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000001-11-1−ii−ii−ii0000−232300−2i32i3000000000000000000000000000000000000i3−i33−3000000000000000
χ1104-4-44-2444i−4i2-4-444-4-42-2−2i2i−2i2i-2-24-4222-22-24-44i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000-22-224i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1114-4-44-244−4i4i2-4-444-4-42-22i−2i2i−2i-2-24-4222-22-24-4−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-22-22−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ1124-4-44-24-24i−4i2-424-2-422-2−2i2i−2i2i-21-222-12-2-11-224i−4i−2i2i−2i2i−2i2ii−ii−i000000001-11-1−2i2ii−ii−i0000000000000000000000000000003-3-333i−3i−3i3i000000000000000000000000000
χ1134-4-44-24-24i−4i2-424-2-422-2−2i2i−2i2i-21-222-12-2-11-224i−4i−2i2i−2i2i−2i2ii−ii−i000000001-11-1−2i2ii−ii−i000000000000000000000000000000-333-3−3i3i3i−3i000000000000000000000000000
χ1144-4-44-24-2−4i4i2-424-2-422-22i−2i2i−2i-21-222-12-2-11-22−4i4i2i−2i2i−2i2i−2i−ii−ii000000001-11-12i−2i−ii−ii0000000000000000000000000000003-3-33−3i3i3i−3i000000000000000000000000000
χ1154-4-44-24-2−4i4i2-424-2-422-22i−2i2i−2i-21-222-12-2-11-22−4i4i2i−2i2i−2i2i−2i−ii−ii000000001-11-12i−2i−ii−ii000000000000000000000000000000-333-33i−3i−3i3i000000000000000000000000000
χ1164-4-44-2-244i−4i22-4-242-42-2−2i2i−2i2i1-2-22-12-112-2-22−2i2i4i−4ii−ii−i−2i2i−2i2i0000−2i32i3−2i32i31-11-1−2i2ii−ii−i000000000023−230000000000i3−i3i3−i3−33−3300000000000000000000000000000000000
χ1174-4-44-2-244i−4i22-4-242-42-2−2i2i−2i2i1-2-22-12-112-2-22−2i2i4i−4ii−ii−i−2i2i−2i2i00002i3−2i32i3−2i31-11-1−2i2ii−ii−i0000000000−23230000000000−i3i3−i3i33−33−300000000000000000000000000000000000
χ1184-4-44-2-24−4i4i22-4-242-42-22i−2i2i−2i1-2-22-12-112-2-222i−2i−4i4i−ii−ii2i−2i2i−2i0000−2i32i3−2i32i31-11-12i−2i−ii−ii0000000000−23230000000000i3−i3i3−i33−33−300000000000000000000000000000000000
χ1194-4-44-2-24−4i4i22-4-242-42-22i−2i2i−2i1-2-22-12-112-2-222i−2i−4i4i−ii−ii2i−2i2i−2i00002i3−2i32i3−2i31-11-12i−2i−ii−ii000000000023−230000000000−i3i3−i3i3−33−3300000000000000000000000000000000000
χ1208888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-42222222200000000-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ1218888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-200000000-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000000
χ12288-8-88-4-4008-4-44444-8-80000-4-42-2-4-44444-22000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-4-4-400-4-4-4444444−4i34i34i3−4i3222-222-2-2-2-2-2200002i3−2i3−2i32i32i3−2i3−2i32i300000000-111-100−i3i3i3−i300000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-4-4-400-4-4-44444444i3−4i3−4i34i3222-222-2-2-2-2-220000−2i32i32i3−2i3−2i32i32i3−2i300000000-111-100i3−i3−i3i300000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88-4-400-84444-4-48-80000-4-42244-44-44-2-20000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-40044444-4-4-444343−43−432222-2-22-22-2-2-20000−23−232323−23−23232300000000-1-1110033−3−300000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-4-4-40044444-4-4-44−43−4343432222-2-22-22-2-2-200002323−23−232323−23−2300000000-1-11100−3−33300000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-4-4-48i−8i444-4-4444-4−4i4i−4i4i222-2-2-2-22-222-2−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-11-112i−2i−ii−ii00000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-4-4-4−8i8i444-4-4444-44i−4i4i−4i222-2-2-2-22-222-24i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000-11-11−2i2ii−ii−i00000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).