Finite Group Databasebeta

← Group #13169398

Character table — Group #13169398

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order12223334466666666644443336666666661212121212121212121244121212121212121236661212121212121212444412121212121212121212121212121212121212122244121212121212121212121212444466121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-11-111-1-1111111-1-111111111-1-1-1-11-11-111-1-111-1-11-11-1-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-11-11-1-1111111-1-11111111111-1-1-1-1-11-11-1-111-1-111-11-11-1-1-1-111-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-11-11-1-1-1-111-1-111-1-11111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-11-1-1-111-1-111-1-1-1-11111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-111
χ101111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-1-11111-1-1-111-111-1-11111-1-1-1-111-1-1
χ111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-1-111111-1-1-1-111-1-111-1-1
χ121111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-111-1-1-1-1111111-1-1-111-1-1-11111-1-11-1-111111-1-1-1-111-1-1-1-111
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-1111111-1-11-1-1111-1-1-1-111-111-111-1-11111-1-1-1-1-1-111
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ17222222-122-122-12222-100002-1-1-1-1222-1-1-1-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-12222222200002222000000002222-1-1-1-1-1-1-1-1-1-1-1-10000-1-100000000-1-10000
χ18222222-122-122-12222-100002-1-1-1-1222-1-1-1-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-12-22-222-2-2000022-2-200000000-2-2-2-2-11-11-1-111-1-11100001100000000110000
χ19222222-122-122-12222-100002-1-1-1-1222-1-1-1-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-1-22-22-2-2220000-2-22200000000-2-2-2-21-11-111-1-111-1-100001100000000110000
χ20222222-122-122-12222-100002-1-1-1-1222-1-1-1-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-20000-2-2-2-20000000022221111111111110000-1-100000000-1-10000
χ21222222-1-2-2-122-12222-100002-1-1-1-1222-1-1-1-1-2-2-2-211-2-2-2-20000000000-1-1-1-11111111122-2-222220000-2-2-2-200000000-2-22211-1-11111-1-1-1-100001100000000-1-10000
χ22222222-1-2-2-122-12222-100002-1-1-1-1222-1-1-1-1-2-2-2-211-2-2-2-20000000000-1-1-1-1111111112-2-2222-2-20000-2-2220000000022-2-21-1-1111-1-1-1-1110000-1-100000000110000
χ23222222-1-2-2-122-12222-100002-1-1-1-1222-1-1-1-1-2-2-2-211-2-2-2-20000000000-1-1-1-111111111-222-2-2-222000022-2-20000000022-2-2-111-1-1-11111-1-10000-1-100000000110000
χ24222222-1-2-2-122-12222-100002-1-1-1-1222-1-1-1-1-2-2-2-211-2-2-2-20000000000-1-1-1-111111111-2-222-2-2-2-20000222200000000-2-222-1-111-1-1-1-1111100001100000000-1-10000
χ2522222-122222-122-12-122222-12-12-1-1-1-12-12-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1020200-1-122-1-100-1-1-1-1-1-1-1-1-1-10000020200-1-100-1-102020000-1-100-1-1000000
χ2622222-122222-122-12-122222-12-12-1-1-1-12-12-122-1-122-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-10-20-2001122-1-10011-1-1-1-1-1-1-1-100000-20-2001100110-20-20000110011000000
χ2722222-122222-122-12-12-2-2-2-2-12-12-1-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-1-1-1-1-1-1020200-1-1-2-21100-1-1111111110000020200-1-100-1-10-20-20000110011000000
χ2822222-122222-122-12-12-2-2-2-2-12-12-1-1-1-12-12-122-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-122-1-1-1-1-1-10-20-20011-2-21100111111111100000-20-20011001102020000-1-100-1-1000000
χ2922222-12-2-222-122-12-122222-12-12-1-1-1-12-12-1-2-211-2-21111-2-22222-1-1-1-1-1-1-1-1-2-2111111020-200-1-1-2-2110011-1-1-1-1111100000-202001100-1-10-20200001100-1-1000000
χ3022222-12-2-222-122-12-122222-12-12-1-1-1-12-12-1-2-211-2-21111-2-22222-1-1-1-1-1-1-1-1-2-21111110-2020011-2-21100-1-1-1-1-1-111110000020-200-1-10011020-20000-1-10011000000
χ3122222-12-2-222-122-12-12-2-2-2-2-12-12-1-1-1-12-12-1-2-211-2-2111122-2-2-2-21111-1-1-1-1-2-2111111020-200-1-122-1-100111111-1-1-1-100000-202001100-1-1020-20000-1-10011000000
χ3222222-12-2-222-122-12-12-2-2-2-2-12-12-1-1-1-12-12-1-2-211-2-2111122-2-2-2-21111-1-1-1-1-2-21111110-202001122-1-100-1-11111-1-1-1-10000020-200-1-100110-20200001100-1-1000000
χ332222-122222-122-12-1222222-1-12-12-1-1-1-12-12-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-12020-1-100-1-122-1-100-1-1-1-1-1-1-1-100002020-1-100-1-100202000-1-100-1-100000000
χ342222-122222-122-12-1222222-1-12-12-1-1-1-12-12-1-12222-1-1-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-20-201100-1-1221100-1-1-1-1-1-1-1-10000-20-2011001100-20-200011001100000000
χ352222-122222-122-12-122-2-2-2-2-1-12-12-1-1-1-12-12-1-12222-1-1-1-1-2-21111-2-2-2-2-1-1-1-1-1-122-1-1-1-12020-1-10011-2-2-1-1001111111100002020-1-100-1-100-20-200011001100000000
χ362222-122222-122-12-122-2-2-2-2-1-12-12-1-1-1-12-12-1-12222-1-1-1-1-2-21111-2-2-2-2-1-1-1-1-1-122-1-1-1-1-20-20110011-2-21100111111110000-20-2011001100202000-1-100-1-100000000
χ372222-122-2-22-122-12-1222222-1-12-12-1-1-1-12-1211-2-2-2-21111-2-2-1-1-1-12222-1-1-1-111-2-2111120-20-1-10011-2-21100-1-1-1-111110000-20201100-1-100-2020001100-1-100000000
χ382222-122-2-22-122-12-1222222-1-12-12-1-1-1-12-1211-2-2-2-21111-2-2-1-1-1-12222-1-1-1-111-2-21111-2020110011-2-2-1-100-1-1-1-11111000020-20-1-100110020-2000-1-1001100000000
χ392222-122-2-22-122-12-122-2-2-2-2-1-12-12-1-1-1-12-1211-2-2-2-21111221111-2-2-2-2-1-1-1-111-2-2111120-20-1-100-1-12211001111-1-1-1-10000-20201100-1-10020-2000-1-1001100000000
χ402222-122-2-22-122-12-122-2-2-2-2-1-12-12-1-1-1-12-1211-2-2-2-21111221111-2-2-2-2-1-1-1-111-2-21111-20201100-1-122-1-1001111-1-1-1-1000020-20-1-1001100-2020001100-1-100000000
χ4122-2-222200222-2-2-2-2-2-222-2-222222-22-2-2-2-2-200000000000022-2-222-2-222-2-200000000000000000000000022-2-200002-20000000000000000002-200000000002-200
χ4222-2-222200222-2-2-2-2-2-222-2-222222-22-2-2-2-2-200000000000022-2-222-2-222-2-200000000000000000000000022-2-20000-22000000000000000000-220000000000-2200
χ4322-2-222200222-2-2-2-2-2-2-2-22222222-22-2-2-2-2-2000000000000-2-222-2-22222-2-2000000000000000000000000-2-22200002-20000000000000000002-20000000000-2200
χ4422-2-222200222-2-2-2-2-2-2-2-22222222-22-2-2-2-2-2000000000000-2-222-2-22222-2-2000000000000000000000000-2-2220000-22000000000000000000-2200000000002-200
χ452-22-222200-2-2-2-222-2-222i−2i2i−2i222-2-22-2-2-2-2220000000000002i−2i2i−2i2i−2i2i−2i2-2-220000000000000000000000002i−2i2i−2i0000002-2000000000000000000000000002-2002i−2i
χ462-22-222200-2-2-2-222-2-222i−2i2i−2i222-2-22-2-2-2-2220000000000002i−2i2i−2i2i−2i2i−2i2-2-220000000000000000000000002i−2i2i−2i000000-2200000000000000000000000000-2200−2i2i
χ472-22-222200-2-2-2-222-2-22−2i2i−2i2i222-2-22-2-2-2-222000000000000−2i2i−2i2i−2i2i−2i2i2-2-22000000000000000000000000−2i2i−2i2i0000002-2000000000000000000000000002-200−2i2i
χ482-22-222200-2-2-2-222-2-22−2i2i−2i2i222-2-22-2-2-2-222000000000000−2i2i−2i2i−2i2i−2i2i2-2-22000000000000000000000000−2i2i−2i2i000000-2200000000000000000000000000-22002i−2i
χ492-2-222222i−2i-2-2-22-2-222-22i−2i−2i2i222-2-2-2-2222-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22i−2i−2i2i2i−2i−2i2i2-22-22i−2i2i−2i2i2i−2i−2i000000002-22-200002i−2i−2i2i22-2-2000000000000000000000000000000000000
χ502-2-222222i−2i-2-2-22-2-222-2−2i2i2i−2i222-2-2-2-2222-2-22i−2i2i−2i2i−2i2i2i−2i−2i-22−2i2i2i−2i−2i2i2i−2i2-22-22i−2i2i−2i2i2i−2i−2i00000000-22-220000−2i2i2i−2i-2-222000000000000000000000000000000000000
χ512-2-22222−2i2i-2-2-22-2-222-22i−2i−2i2i222-2-2-2-2222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i-222i−2i−2i2i2i−2i−2i2i2-22-2−2i2i−2i2i−2i−2i2i2i00000000-22-2200002i−2i−2i2i-2-222000000000000000000000000000000000000
χ522-2-22222−2i2i-2-2-22-2-222-2−2i2i2i−2i222-2-2-2-2222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2−2i2i2i−2i−2i2i2i−2i2-22-2−2i2i−2i2i−2i−2i2i2i000000002-22-20000−2i2i2i−2i22-2-2000000000000000000000000000000000000
χ532-2-222-122i−2i-2-212-212-1-22i−2i−2i2i-12-1-2111-12-1-212i−2i−ii2i−2i−i−iii2-22i−2i−2i2i−iii−i-11-112i−2i−ii−i−iii0000003−32-2-1100−i3i3−iii−i-1-1110000000000−i3i3003−3000000003−300−i3i3000000
χ542-2-222-122i−2i-2-212-212-1-22i−2i−2i2i-12-1-2111-12-1-212i−2i−ii2i−2i−i−iii2-22i−2i−2i2i−iii−i-11-112i−2i−ii−i−iii000000−332-2-1100i3−i3−iii−i-1-1110000000000i3−i300−3300000000−3300i3−i3000000
χ552-2-222-122i−2i-2-212-212-1-2−2i2i2i−2i-12-1-2111-12-1-212i−2i−ii2i−2i−i−iii-22−2i2i2i−2ii−i−ii-11-112i−2i−ii−i−iii0000003−3-221-100−i3i3i−i−ii11-1-10000000000−i3i3003−300000000−3300i3−i3000000
χ562-2-222-122i−2i-2-212-212-1-2−2i2i2i−2i-12-1-2111-12-1-212i−2i−ii2i−2i−i−iii-22−2i2i2i−2ii−i−ii-11-112i−2i−ii−i−iii000000−33-221-100i3−i3i−i−ii11-1-10000000000i3−i300−33000000003−300−i3i3000000
χ572-2-222-12−2i2i-2-212-212-1-22i−2i−2i2i-12-1-2111-12-1-21−2i2ii−i−2i2iii−i−i-222i−2i−2i2i−iii−i-11-11−2i2ii−iii−i−i0000003−3-221-100i3−i3−iii−i11-1-10000000000i3−i3003−300000000−3300−i3i3000000
χ582-2-222-12−2i2i-2-212-212-1-22i−2i−2i2i-12-1-2111-12-1-21−2i2ii−i−2i2iii−i−i-222i−2i−2i2i−iii−i-11-11−2i2ii−iii−i−i000000−33-221-100−i3i3−iii−i11-1-10000000000−i3i300−33000000003−300i3−i3000000
χ592-2-222-12−2i2i-2-212-212-1-2−2i2i2i−2i-12-1-2111-12-1-21−2i2ii−i−2i2iii−i−i2-2−2i2i2i−2ii−i−ii-11-11−2i2ii−iii−i−i0000003−32-2-1100i3−i3i−i−ii-1-1110000000000i3−i3003−3000000003−300i3−i3000000
χ602-2-222-12−2i2i-2-212-212-1-2−2i2i2i−2i-12-1-2111-12-1-21−2i2ii−i−2i2iii−i−i2-2−2i2i2i−2ii−i−ii-11-11−2i2ii−iii−i−i000000−332-2-1100−i3i3i−i−ii-1-1110000000000−i3i300−3300000000−3300−i3i3000000
χ612-2-22-1222i−2i-21-221-2-12-22i−2i−2i2i-1-121-211-1-121-2−ii2i−2i2i−2i−i−iii2-2−iii−i2i−2i−2i2i-11-11−ii2i−2i−i−iii00003−300-112-2−i3i300−iii−i-1-11100000000−i3i3003−3000000003−300−i3i300000000
χ622-2-22-1222i−2i-21-221-2-12-22i−2i−2i2i-1-121-211-1-121-2−ii2i−2i2i−2i−i−iii2-2−iii−i2i−2i−2i2i-11-11−ii2i−2i−i−iii0000−3300-112-2i3−i300−iii−i-1-11100000000i3−i300−3300000000−3300i3−i300000000
χ632-2-22-1222i−2i-21-221-2-12-2−2i2i2i−2i-1-121-211-1-121-2−ii2i−2i2i−2i−i−iii-22i−i−ii−2i2i2i−2i-11-11−ii2i−2i−i−iii00003−3001-1-22−i3i300i−i−ii11-1-100000000−i3i3003−300000000−3300i3−i300000000
χ642-2-22-1222i−2i-21-221-2-12-2−2i2i2i−2i-1-121-211-1-121-2−ii2i−2i2i−2i−i−iii-22i−i−ii−2i2i2i−2i-11-11−ii2i−2i−i−iii0000−33001-1-22i3−i300i−i−ii11-1-100000000i3−i300−33000000003−300−i3i300000000
χ652-2-22-122−2i2i-21-221-2-12-22i−2i−2i2i-1-121-211-1-121-2i−i−2i2i−2i2iii−i−i-22−iii−i2i−2i−2i2i-11-11i−i−2i2iii−i−i00003−3001-1-22i3−i300−iii−i11-1-100000000i3−i3003−300000000−3300−i3i300000000
χ662-2-22-122−2i2i-21-221-2-12-22i−2i−2i2i-1-121-211-1-121-2i−i−2i2i−2i2iii−i−i-22−iii−i2i−2i−2i2i-11-11i−i−2i2iii−i−i0000−33001-1-22−i3i300−iii−i11-1-100000000−i3i300−33000000003−300i3−i300000000
χ672-2-22-122−2i2i-21-221-2-12-2−2i2i2i−2i-1-121-211-1-121-2i−i−2i2i−2i2iii−i−i2-2i−i−ii−2i2i2i−2i-11-11i−i−2i2iii−i−i00003−300-112-2i3−i300i−i−ii-1-11100000000i3−i3003−3000000003−300i3−i300000000
χ682-2-22-122−2i2i-21-221-2-12-2−2i2i2i−2i-1-121-211-1-121-2i−i−2i2i−2i2iii−i−i2-2i−i−ii−2i2i2i−2i-11-11i−i−2i2iii−i−i0000−3300-112-2−i3i300i−i−ii-1-11100000000−i3i300−3300000000−3300−i3i300000000
χ6944444-2-244-24-2-24-24-2-20000-2-21-21-2-2-2-21-2144-2-2-2-2-2-2-2-200000000001111-2-2111111040400-2-2000000-2-20000000000000-20-20011001100000000000000000000
χ7044444-2-244-24-2-24-24-2-20000-2-21-21-2-2-2-21-2144-2-2-2-2-2-2-2-200000000001111-2-21111110-40-4002200000022000000000000020200-1-100-1-100000000000000000000
χ7144444-2-2-4-4-24-2-24-24-2-20000-2-21-21-2-2-2-21-21-4-4222222220000000000111122-1-1-1-1-1-1040-400-2-200000022000000000000020-200-1-1001100000000000000000000
χ7244444-2-2-4-4-24-2-24-24-2-20000-2-21-21-2-2-2-21-21-4-4222222220000000000111122-1-1-1-1-1-10-4040022000000-2-20000000000000-202001100-1-100000000000000000000
χ734444-24-244-2-24-2-24-24-20000-21-21-2-2-2-21-21-2-2-244-2-2-2-2-2-20000000000111111-2-211114040-2-2000000-2-200000000000000-20-201100110000000000000000000000
χ744444-24-244-2-24-2-24-24-20000-21-21-2-2-2-21-21-2-2-244-2-2-2-2-2-20000000000111111-2-21111-40-402200000022000000000000002020-1-100-1-10000000000000000000000
χ754444-24-2-4-4-2-24-2-24-24-20000-21-21-2-2-2-21-21-222-4-422222200000000001111-1-122-1-1-1-140-40-2-2000000220000000000000020-20-1-100110000000000000000000000
χ764444-24-2-4-4-2-24-2-24-24-20000-21-21-2-2-2-21-21-222-4-422222200000000001111-1-122-1-1-1-1-404022000000-2-200000000000000-20201100-1-10000000000000000000000
χ774444-2-24444-2-24-2-2-2-2444441-2-2-2-2111-2-2-2-2-2-2-2-244111144-2-2-2-2-2-2-2-21111-2-2-2-2111100000000-2-2-2-2000011111111000000000000000000000000000000000000
χ784444-2-24444-2-24-2-2-2-24-4-4-4-41-2-2-2-2111-2-2-2-2-2-2-2-2441111-4-4222222221111-2-2-2-211110000000022220000-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ794444-2-24-4-44-2-24-2-2-2-2444441-2-2-2-2111-2-2-2-22222-4-4-1-1-1-1-4-4-2-2-2-2-2-2-2-211112222-1-1-1-100000000222200001111-1-1-1-1000000000000000000000000000000000000
χ804444-2-24-4-44-2-24-2-2-2-24-4-4-4-41-2-2-2-2111-2-2-2-22222-4-4-1-1-1-1442222222211112222-1-1-1-100000000-2-2-2-20000-1-1-1-11111000000000000000000000000000000000000
χ8144-4-444-200-2442-4-4-4-4200004-2-2-2-2-44-4222200000000000000000000-2-222000000000000000000000000000000004-4000000000000000000-2200000000000000
χ8244-4-444-200-2442-4-4-4-4200004-2-2-2-2-44-4222200000000000000000000-2-22200000000000000000000000000000000-440000000000000000002-200000000000000
χ8344-4-44-240044-2-4-42-42-444-4-4-24-24-22-22-42-4200000000000044-4-4-2-222-2-222000000000000000000000000-2-2220000000000000000000000000000000000000000
χ8444-4-44-240044-2-4-42-42-4-4-444-24-24-22-22-42-42000000000000-4-44422-2-2-2-22200000000000000000000000022-2-20000000000000000000000000000000000000000
χ8544-4-4-244004-24-42-42-4-444-4-4-2-24-242-222-42-4000000000000-2-22244-4-4-2-222000000000000000000000000-2-2220000000000000000000000000000000000000000
χ8644-4-4-244004-24-42-42-4-4-4-444-2-24-242-222-42-400000000000022-2-2-4-444-2-22200000000000000000000000022-2-20000000000000000000000000000000000000000
χ8744-4-4-2-24004-2-2-42222-444-4-41-2-2-2-2-11-122220000003i−3i3i−3i00-2-222-2-22211-1-100003i−3i3i−3i000000000000000011-1-13i−3i3i−3i000000000000000000000000000000000000
χ8844-4-4-2-24004-2-2-42222-444-4-41-2-2-2-2-11-12222000000−3i3i−3i3i00-2-222-2-22211-1-10000−3i3i−3i3i000000000000000011-1-1−3i3i−3i3i000000000000000000000000000000000000
χ8944-4-4-2-24004-2-2-42222-4-4-4441-2-2-2-2-11-122220000003i−3i3i−3i0022-2-222-2-211-1-100003i−3i3i−3i0000000000000000-1-111−3i3i−3i3i000000000000000000000000000000000000
χ9044-4-4-2-24004-2-2-42222-4-4-4441-2-2-2-2-11-12222000000−3i3i−3i3i0022-2-222-2-211-1-10000−3i3i−3i3i0000000000000000-1-1113i−3i3i−3i000000000000000000000000000000000000
χ914-44-444-2002-4-4244-4-4-200004-2-2224-4-422-2-200000000000000000000-222-200000000000000000000000000000000004-400000000000000000000000000-220000
χ924-44-444-2002-4-4244-4-4-200004-2-2224-4-422-2-200000000000000000000-222-20000000000000000000000000000000000-44000000000000000000000000002-20000
χ934-44-44-2400-4-42-44-2-4244i−4i4i−4i-24-2-42-222-424-20000000000004i−4i4i−4i−2i2i−2i2i-222-2000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ944-44-44-2400-4-42-44-2-424−4i4i−4i4i-24-2-42-222-424-2000000000000−4i4i−4i4i2i−2i2i−2i-222-20000000000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ954-44-4-24400-42-4-4-242-444i−4i4i−4i-2-242-4-2222-4-24000000000000−2i2i−2i2i4i−4i4i−4i-222-2000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ964-44-4-24400-42-4-4-242-44−4i4i−4i4i-2-242-4-2222-4-240000000000002i−2i2i−2i−4i4i−4i4i-222-20000000000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ974-44-4-2-2400-422-4-2-22244i−4i4i−4i1-2-2221-1-122-2-20000003-3-3300−2i2i−2i2i−2i2i−2i2i1-1-1100003-3-330000000000000000i−ii−i−3i3i3i−3i000000000000000000000000000000000000
χ984-44-4-2-2400-422-4-2-22244i−4i4i−4i1-2-2221-1-122-2-2000000-333-300−2i2i−2i2i−2i2i−2i2i1-1-110000-333-30000000000000000i−ii−i3i−3i−3i3i000000000000000000000000000000000000
χ994-44-4-2-2400-422-4-2-2224−4i4i−4i4i1-2-2221-1-122-2-20000003-3-33002i−2i2i−2i2i−2i2i−2i1-1-1100003-3-330000000000000000−ii−ii3i−3i−3i3i000000000000000000000000000000000000
χ1004-44-4-2-2400-422-4-2-2224−4i4i−4i4i1-2-2221-1-122-2-2000000-333-3002i−2i2i−2i2i−2i2i−2i1-1-110000-333-30000000000000000−ii−ii−3i3i3i−3i000000000000000000000000000000000000
χ1014-4-4444-24i−4i2-4-4-2-4-444200004-2-222-4-44-2-2224i−4i4i−4i−2i2i4i4i−4i−4i0000000000-22-22−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-2−4i4i2-4-4-2-4-444200004-2-222-4-44-2-222−4i4i−4i4i2i−2i−4i−4i4i4i0000000000-22-222i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-2-24i−4i2-42-2-424-220000-2-212-122-2-212-14i−4i−2i2i−2i2i−2i−2i2i2i00000000001-11-1−2i2ii−iii−i−i00000023−23000000−2i32i3000000000000000000i3−i300−3300000000000000000000
χ1044-4-444-2-24i−4i2-42-2-424-220000-2-212-122-2-212-14i−4i−2i2i−2i2i−2i−2i2i2i00000000001-11-1−2i2ii−iii−i−i000000−23230000002i3−2i3000000000000000000−i3i3003−300000000000000000000
χ1054-4-444-2-2−4i4i2-42-2-424-220000-2-212-122-2-212-1−4i4i2i−2i2i−2i2i2i−2i−2i00000000001-11-12i−2i−ii−i−iii00000023−230000002i3−2i3000000000000000000−i3i300−3300000000000000000000
χ1064-4-444-2-2−4i4i2-42-2-424-220000-2-212-122-2-212-1−4i4i2i−2i2i−2i2i2i−2i−2i00000000001-11-12i−2i−ii−i−iii000000−2323000000−2i32i3000000000000000000i3−i3003−300000000000000000000
χ1074-4-44-24-24i−4i22-4-22-4-2420000-21-2-1222-21-2-12−2i2i4i−4i−2i2i−2i−2i2i2i00000000001-11-1i−i−2i2iii−i−i000023−23000000−2i32i3000000000000000000i3−i300−330000000000000000000000
χ1084-4-44-24-24i−4i22-4-22-4-2420000-21-2-1222-21-2-12−2i2i4i−4i−2i2i−2i−2i2i2i00000000001-11-1i−i−2i2iii−i−i0000−23230000002i3−2i3000000000000000000−i3i3003−30000000000000000000000
χ1094-4-44-24-2−4i4i22-4-22-4-2420000-21-2-1222-21-2-122i−2i−4i4i2i−2i2i2i−2i−2i00000000001-11-1−ii2i−2i−i−iii000023−230000002i3−2i3000000000000000000−i3i300−330000000000000000000000
χ1104-4-44-24-2−4i4i22-4-22-4-2420000-21-2-1222-21-2-122i−2i−4i4i2i−2i2i2i−2i−2i00000000001-11-1−ii2i−2i−i−iii0000−2323000000−2i32i3000000000000000000i3−i3003−30000000000000000000000
χ1114-4-44-2-244i−4i-422422-2-2-44i−4i−4i4i1-2-222-1-11-2-222−2i2i−2i2i4i−4iii−i−i4-4−2i2i2i−2i−2i2i2i−2i1-11-1−2i2i−2i2iii−i−i00000000-22-220000i−i−ii11-1-1000000000000000000000000000000000000
χ1124-4-44-2-244i−4i-422422-2-2-4−4i4i4i−4i1-2-222-1-11-2-222−2i2i−2i2i4i−4iii−i−i-442i−2i−2i2i2i−2i−2i2i1-11-1−2i2i−2i2iii−i−i000000002-22-20000−iii−i-1-111000000000000000000000000000000000000
χ1134-4-44-2-24−4i4i-422422-2-2-44i−4i−4i4i1-2-222-1-11-2-2222i−2i2i−2i−4i4i−i−iii-44−2i2i2i−2i−2i2i2i−2i1-11-12i−2i2i−2i−i−iii000000002-22-20000i−i−ii-1-111000000000000000000000000000000000000
χ1144-4-44-2-24−4i4i-422422-2-2-4−4i4i4i−4i1-2-222-1-11-2-2222i−2i2i−2i−4i4i−i−iii4-42i−2i−2i2i2i−2i−2i2i1-11-12i−2i2i−2i−i−iii00000000-22-220000−iii−i11-1-1000000000000000000000000000000000000
χ1158888-4-4-488-4-4-4-4-4-4-4-4-40000222222222222-4-4-4-4-4-422220000000000-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-8-8-4-4-4-4-4-4-4-4-40000222222222222444444-2-2-2-20000000000-1-1-1-1-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-400-48-44-84-8440000-4-42-424-444-24-20000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-400-4-4844-84-840000-42-42-44-44-24-240000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-400-4-4-4444444000022222-22-2-2-2-2-20000006i−6i6i−6i0000000000-1-1110000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-400-4-4-4444444000022222-22-2-2-2-2-2000000−6i6i−6i6i0000000000-1-11100003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1218-88-88-4-4004-8448-4-84-40000-4-424-2-4444-2-42000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-48-40044-84-484-8-40000-42-4-24-444-242-4000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-4004444-4-444-40000222-2-22-2-2-2-2220000006-6-660000000000-111-10000-333-3000000000000000000000000000000000000000000000000000000000000
χ1248-88-8-4-4-4004444-4-444-40000222-2-22-2-2-2-222000000-666-60000000000-111-100003-3-33000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-48i−8i444-444-4-440000222-2-2-2-2222-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000000000-11-112i−2i2i−2i−i−iii000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-4−8i8i444-444-4-440000222-2-2-2-2222-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000000000-11-11−2i2i−2i2iii−i−i000000000000000000000000000000000000000000000000000000000000

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