Finite Group Databasebeta

← Group #13168256

Character table — Group #13168256

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222444444444444444444444666666666688888888888881212121212121212121212121212121212121212121212121218181818242424242424242424242424363636363636363636365454727272108
order1222333666666666333466666666612121212121212122244441212121236661212121212121212124446666121212121212121212121212121212121212444466121212121212121212124444121212121212441212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-1111111111111-1-111-1-11-111-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-111-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1-1-1-1-111-1-1-1-1-1-111-1111
χ51111111111111111111111111111111111111-1-1111111111111111111111-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-11111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111111-1-11
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-11111-11-1-11111-1-111-1-1-11
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1-11111-1-1-1-11111111-1-1-1-1-111-1-1-1-11-111-1-111-1-1-11-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-111-1-111-11-11-1-1-1-1111-1-1111-1-1-1-1111-11-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-111-1-1-11-11-1-1111111-1-11-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-11-11-1-1-1-111111-1-1-111-1-1-1-111-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-11-11-11111-1-1111-1-1-111-1-11111-1-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-111111-1-111-11-11-1-11111-1-1-1-111
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11-11-11111-1-11-1-1111-1-1-1-1-1-11-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-111111-1-111-1-11-111-1-11111-11-1-1
χ17222222-122-122-1-1222-1-122-12-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-120022-1-1-1-1-1-1220022-1-1-1-1-1-1-1-12200-1-10020-1-100000200-1-1-1-100000000
χ18222222-122-122-1-1222-1-122-12-1-1-1-1-1222-1-1-1-1-1-122-2-2-2-21111-1-1-1-1222-1-1-1-1-1-120022-1-1-1-111-2-200-2-211111111-2-200-1-10020-1-100000-200111100000000
χ19222222-122-122-1-1222-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-200-2-21111-1-1220022-1-1-1-1-1-1-1-1-2-2001100-201100000-200111100000000
χ20222222-122-122-1-1222-1-122-12-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-200-2-2111111-2-200-2-21111111122001100-201100000200-1-1-1-100000000
χ21222222-122-122-1-1222-1-1-22-12-1-1-1-1-12-2-21111112222-2-21111-1-1-1-1-2-2-2111111-20022-1-111-1-12200-2-2-1-1-1-111112200-1-100-201100000-200-1-11100000000
χ22222222-122-122-1-1222-1-1-22-12-1-1-1-1-12-2-211111122-2-222-1-1-1-1-1-1-1-1-2-2-2111111-20022-1-11111-2-200221111-1-1-1-1-2-200-1-100-20110000020011-1-100000000
χ23222222-122-122-1-1222-1-1-22-12-1-1-1-1-12-2-2111111-2-222-2-21111-1-1-1-1-2-2-2111111200-2-211-1-1-1-12200-2-2-1-1-1-11111-2-200110020-1-10000020011-1-100000000
χ24222222-122-122-1-1222-1-1-22-12-1-1-1-1-12-2-2111111-2-2-2-222-1-1-1-1-1-1-1-1-2-2-2111111200-2-211-1-111-2-200221111-1-1-1-12200110020-1-100000-200-1-11100000000
χ2522222-12-1222-122-12-12-12-1-1-12-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-122220000-1-100000000000022-1-122-1-1-1-1-1-1-1-120000000-1-100-1000
χ2622222-12-1222-122-12-12-12-1-1-12-122-1-1222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-1-12222000011000000000000-2-2-1-1-2-2-11-1-11111-2000000011001000
χ2722222-12-1222-122-12-12-12-1-1-12-122-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22211-2-2-2-20000-1-1000000000000-2-211221-111-1-1-1-1-2000000011001000
χ2822222-12-1222-122-12-12-12-1-1-12-122-1-122222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2-2-20000110000000000002211-2-21111111120000000-1-100-1000
χ2922222-12-1222-122-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-22-2-1-122-2-20000-1-100000000000022-1-12-21111-1-111-20000000-1-1001000
χ3022222-12-1222-122-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-22200000000-1-1-1-1111111111-2-22-1-122-2-2000011000000000000-2-2-1-1-221-11111-1-1200000001100-1000
χ3122222-12-1222-122-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-111111111122-211-2-2220000-1-1000000000000-2-2112-2-11-1-1-1-111200000001100-1000
χ3222222-12-1222-122-12-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-200000000-1-1-1-11111111112-2211-2-2220000110000000000002211-22-1-1-1-111-1-1-20000000-1-1001000
χ332222-1222-12-12222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-10022222222-1-1-1-12-1-122-1-1-1-102200000022-1-122-1-1-1-1-1-1-1-1-1-1000000-1-10200-1-1-1-10022000000000-1-10
χ342222-1222-12-12222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-10022222222-1-1-1-12-1-122-1-1-1-10-2-200000022-1-1-2-2-1-1-1-1-1-1-1-1-1-1000000110-200111100-2-2000000000110
χ352222-1222-12-12222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-1022000000-2-211221111111111000000-1-10200-1-1-1-100-2-2000000000110
χ362222-1222-12-12222-1-1-122-12-1-12-1-12-1-1-122-1-1-1-100-2-2-2-2-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-2000000-2-211-2-21111111111000000110-20011110022000000000-1-10
χ372222-1222-12-12222-1-1-12-2-12-1-12-1-12-111-2-211110022-2-2-2-2-2-2-1-1-1-1-211-2-2111102-200000022-1-12211-1-1-1-11111000000-110-200-1-111002-2000000000-110
χ382222-1222-12-12222-1-1-12-2-12-1-12-1-12-111-2-211110022-2-2-2-2-2-2-1-1-1-1-211-2-211110-2200000022-1-1-2-211-1-1-1-111110000001-1020011-1-100-220000000001-10
χ392222-1222-12-12222-1-1-12-2-12-1-12-1-12-111-2-2111100-2-2222222-1-1-1-1-211-2-2111102-2000000-2-21122-1-11111-1-1-1-1000000-110-200-1-11100-220000000001-10
χ402222-1222-12-12222-1-1-12-2-12-1-12-1-12-111-2-2111100-2-2222222-1-1-1-1-211-2-211110-22000000-2-211-2-2-1-11111-1-1-1-10000001-1020011-1-1002-2000000000-110
χ412-22-2222-2-222-2-2-22-22220-2-2-2-2-22-2220000000000002i−2i2i2i−2i−2i22-2-20000000000000000000000002i−2i00002i2i−2i−2i002-2000000000000000000002-22i−2i0000
χ422-22-2222-2-222-2-2-22-22220-2-2-2-2-22-2220000000000002i−2i2i2i−2i−2i22-2-20000000000000000000000002i−2i00002i2i−2i−2i00-2200000000000000000000-22−2i2i0000
χ432-22-2222-2-222-2-2-22-22220-2-2-2-2-22-222000000000000−2i2i−2i−2i2i2i22-2-2000000000000000000000000−2i2i0000−2i−2i2i2i002-2000000000000000000002-2−2i2i0000
χ442-22-2222-2-222-2-2-22-22220-2-2-2-2-22-222000000000000−2i2i−2i−2i2i2i22-2-2000000000000000000000000−2i2i0000−2i−2i2i2i00-2200000000000000000000-222i−2i0000
χ452-2-222222-2-2-2-2-22-22222022-2-2-2-22-2-2000000002-22i−2i0000002-22-20000000000002-22-2002i−2i2i−2i00002i2i−2i−2i00002i−2i002-2000000000000002i−2i0000000000
χ462-2-222222-2-2-2-2-22-22222022-2-2-2-22-2-2000000002-2−2i2i0000002-22-20000000000002-22-200−2i2i−2i2i0000−2i−2i2i2i0000−2i2i002-200000000000000−2i2i0000000000
χ472-2-222222-2-2-2-2-22-22222022-2-2-2-22-2-200000000-222i−2i0000002-22-2000000000000-22-22002i−2i2i−2i00002i2i−2i−2i0000−2i2i00-2200000000000000−2i2i0000000000
χ482-2-222222-2-2-2-2-22-22222022-2-2-2-22-2-200000000-22−2i2i0000002-22-2000000000000-22-2200−2i2i−2i2i0000−2i−2i2i2i00002i−2i00-22000000000000002i−2i0000000000
χ492-2-2222-12-21-2-21-1-222-1-102-1-2111-11-2003−333−3−32-22i−2i00−i3i3−i3i3-11-110003−333−3−30002-2-113−3−ii2i−2i0000−i−iii−i3i3−i3i32i−2i00-1100003−300000000−ii−i3i300000000
χ502-2-2222-12-21-2-21-1-222-1-102-1-2111-11-2003−333−3−32-2−2i2i00i3−i3i3−i3-11-110003−333−3−30002-2-113−3i−i−2i2i0000ii−i−ii3−i3i3−i3−2i2i00-1100003−300000000i−ii3−i300000000
χ512-2-2222-12-21-2-21-1-222-1-102-1-2111-11-2003−333−3−3-222i−2i00−i3i3−i3i3-11-110003−333−3−3000-221-1−33−ii2i−2i0000−i−iii−i3i3−i3i3−2i2i001-10000−3300000000i−ii3−i300000000
χ522-2-2222-12-21-2-21-1-222-1-102-1-2111-11-2003−333−3−3-22−2i2i00i3−i3i3−i3-11-110003−333−3−3000-221-1−33i−i−2i2i0000ii−i−ii3−i3i3−i32i−2i001-10000−3300000000−ii−i3i300000000
χ532-2-2222-12-21-2-21-1-222-1-102-1-2111-11-200−33−3−3332-22i−2i00i3−i3i3−i3-11-11000−33−3−3330002-2-11−33−ii2i−2i0000−i−iiii3−i3i3−i32i−2i00-110000−3300000000−iii3−i300000000
χ542-2-2222-12-21-2-21-1-222-1-102-1-2111-11-200−33−3−3332-2−2i2i00−i3i3−i3i3-11-11000−33−3−3330002-2-11−33i−i−2i2i0000ii−i−i−i3i3−i3i3−2i2i00-110000−3300000000i−i−i3i300000000
χ552-2-2222-12-21-2-21-1-222-1-102-1-2111-11-200−33−3−333-222i−2i00i3−i3i3−i3-11-11000−33−3−333000-221-13−3−ii2i−2i0000−i−iiii3−i3i3−i3−2i2i001-100003−300000000i−i−i3i300000000
χ562-2-2222-12-21-2-21-1-222-1-102-1-2111-11-200−33−3−333-22−2i2i00−i3i3−i3i3-11-11000−33−3−333000-221-13−3i−i−2i2i0000ii−i−i−i3i3−i3i32i−2i001-100003−300000000−iii3−i300000000
χ5744444-2-2-24-24-2-2-2-24-2-214-21-2-21-2-21-244-2-2-2-2-2-244000000001111-2-2-2111111400-2-2-2-2-2-2000000000000000000001100-201100000000000000000000
χ5844444-2-2-24-24-2-2-2-24-2-214-21-2-21-2-21-244-2-2-2-2-2-2-4-4000000001111-2-2-2111111-40022222200000000000000000000-1-10020-1-100000000000000000000
χ5944444-2-2-24-24-2-2-2-24-2-21-4-21-2-21-2-21-2-4-422222244000000001111222-1-1-1-1-1-1-400-2-2-2-22200000000000000000000110020-1-100000000000000000000
χ6044444-2-2-24-24-2-2-2-24-2-21-4-21-2-21-2-21-2-4-4222222-4-4000000001111222-1-1-1-1-1-14002222-2-200000000000000000000-1-100-201100000000000000000000
χ614444-24-24-2-2-24-2-24-2-21-24-2-2-21-211-2-2-2-2-2-21111004444-2-2-2-211114-2-2-2-21111000000000-2-2-2-200-2-21111111100000000000000000000000000000000
χ624444-24-24-2-2-24-2-24-2-21-24-2-2-21-211-2-2-2-2-2-2111100-4-4-4-4222211114-2-2-2-2111100000000022220022-1-1-1-1-1-1-1-100000000000000000000000000000000
χ634444-24-24-2-2-24-2-24-2-21-2-4-2-2-21-211-2-22222-1-1-1-10044-4-422221111-42222-1-1-1-1000000000-2-2-2-200221111-1-1-1-100000000000000000000000000000000
χ644444-24-24-2-2-24-2-24-2-21-2-4-2-2-21-211-2-22222-1-1-1-100-4-444-2-2-2-21111-42222-1-1-1-1000000000222200-2-2-1-1-1-1111100000000000000000000000000000000
χ654444-2-24-2-24-2-244-2-21-2-241-21-2-2-2-2-21-2-244-2-2-2-200000000001111-211-2-211110440000000000-2-20000000000000000-2-20-20011110000000000000000
χ664444-2-24-2-24-2-244-2-21-2-241-21-2-2-2-2-21-2-244-2-2-2-200000000001111-211-2-211110-4-40000000000220000000000000000220200-1-1-1-10000000000000000
χ674444-2-24-2-24-2-244-2-21-2-2-41-21-2-2-2-2-2122-4-42222000000000011112-1-122-1-1-1-104-40000000000-2-20000000000000000-22020011-1-10000000000000000
χ684444-2-24-2-24-2-244-2-21-2-2-41-21-2-2-2-2-2122-4-42222000000000011112-1-122-1-1-1-10-4400000000002200000000000000002-20-200-1-1110000000000000000
χ6944-4-4444-44-4-444-4-4-44440-4-4444-4-4-4-40000000000000000004-4-44000000000000000000000000000000000000000000000000000000000000000000
χ7044-4-444-2-442-44-22-4-44-2-20-424-2-2222-40000000000000023−23−2323-222-200000000000000000000000000000023−23−232300000000000000000000000000000000
χ7144-4-444-2-442-44-22-4-44-2-20-424-2-2222-400000000000000−232323−23-222-2000000000000000000000000000000−232323−2300000000000000000000000000000000
χ7244-4-44-2424-4-4-24-42-4-24-2022-24-2-4-422000000000000000000-222-2000000000000000000000023−23000000000000000000000023−23000000000000000000
χ7344-4-44-2424-4-4-24-42-4-24-2022-24-2-4-422000000000000000000-222-20000000000000000000000−23230000000000000000000000−2323000000000000000000
χ7444-4-4-244-4-2-4244-4-42-2-2402-4-2-2422-42−2i32i300−2i32i3−2i32i30000000000-222-20−2i32i300−2i32i3−2i32i3000000000000000000000000000000000000000000000000000000000
χ7544-4-4-244-4-2-4244-4-42-2-2402-4-2-2422-422i3−2i3002i3−2i32i3−2i30000000000-222-202i3−2i3002i3−2i32i3−2i3000000000000000000000000000000000000000000000000000000000
χ7644-4-4-24-2-4-2224-22-42-21-2022-21-2-1-122−2i32i300i3−i3i3−i300000023−23−23231-1-110−2i32i300i3−i3i3−i3000000000000000003i−3i3i−3i−333−300000000000000000000000000000000
χ7744-4-4-24-2-4-2224-22-42-21-2022-21-2-1-122−2i32i300i3−i3i3−i3000000−232323−231-1-110−2i32i300i3−i3i3−i300000000000000000−3i3i−3i3i3−3−3300000000000000000000000000000000
χ7844-4-4-24-2-4-2224-22-42-21-2022-21-2-1-1222i3−2i300−i3i3−i3i300000023−23−23231-1-1102i3−2i300−i3i3−i3i300000000000000000−3i3i−3i3i−333−300000000000000000000000000000000
χ7944-4-4-24-2-4-2224-22-42-21-2022-21-2-1-1222i3−2i300−i3i3−i3i3000000−232323−231-1-1102i3−2i300−i3i3−i3i3000000000000000003i−3i3i−3i3−3−3300000000000000000000000000000000
χ8044-4-4-2-242-2-42-24-4221-2-20-121-2-2222-1−2i32i300−2i32i3−2i32i300000000001-1-110i3−i300i3−i3i3−i3000000000000023−230000000000000000000000−333i−3i0000000000000000
χ8144-4-4-2-242-2-42-24-4221-2-20-121-2-2222-1−2i32i300−2i32i3−2i32i300000000001-1-110i3−i300i3−i3i3−i30000000000000−232300000000000000000000003−3−3i3i0000000000000000
χ8244-4-4-2-242-2-42-24-4221-2-20-121-2-2222-12i3−2i3002i3−2i32i3−2i300000000001-1-110−i3i300−i3i3−i3i3000000000000023−230000000000000000000000−33−3i3i0000000000000000
χ8344-4-4-2-242-2-42-24-4221-2-20-121-2-2222-12i3−2i3002i3−2i32i3−2i300000000001-1-110−i3i300−i3i3−i3i30000000000000−232300000000000000000000003−33i−3i0000000000000000
χ844-44-444-2-4-4-24-4224-44-2-20-42-422-22-240000000000004i−4i−2i−2i2i2i-2-2220000000000000000000000004i−4i0000−2i−2i2i2i00000000000000000000000000000000
χ854-44-444-2-4-4-24-4224-44-2-20-42-422-22-24000000000000−4i4i2i2i−2i−2i-2-222000000000000000000000000−4i4i00002i2i−2i−2i00000000000000000000000000000000
χ864-44-44-242-4442-4-4-2-4-24-20222-424-4-2-2000000000000000000-2-2220000000000000000000000000000000000004-400000000000000000000-22000000
χ874-44-44-242-4442-4-4-2-4-24-20222-424-4-2-2000000000000000000-2-222000000000000000000000000000000000000-44000000000000000000002-2000000
χ884-44-4-244-424-2-4-4-442-2-2402-422-4-224-20000000000004i−4i4i4i−4i−4i-2-222000000000000000000000000−2i2i0000−2i−2i2i2i00000000000000000000000000000000
χ894-44-4-244-424-2-4-4-442-2-2402-422-4-224-2000000000000−4i4i−4i−4i4i4i-2-2220000000000000000000000002i−2i00002i2i−2i−2i00000000000000000000000000000000
χ904-44-4-24-2-42-2-2-42242-21-20222-121-1-2-200003i−3i−3i3i00004i−4i−2i−2i2i2i11-1-1000003i−3i−3i3i000000000000000−2i2i3-3-33ii−i−i00000000000000000000000000000000
χ914-44-4-24-2-42-2-2-42242-21-20222-121-1-2-200003i−3i−3i3i0000−4i4i2i2i−2i−2i11-1-1000003i−3i−3i3i0000000000000002i−2i-333-3−i−iii00000000000000000000000000000000
χ924-44-4-24-2-42-2-2-42242-21-20222-121-1-2-20000−3i3i3i−3i00004i−4i−2i−2i2i2i11-1-100000−3i3i3i−3i000000000000000−2i2i-333-3ii−i−i00000000000000000000000000000000
χ934-44-4-24-2-42-2-2-42242-21-20222-121-1-2-20000−3i3i3i−3i0000−4i4i2i2i−2i−2i11-1-100000−3i3i3i−3i0000000000000002i−2i3-3-33−i−iii00000000000000000000000000000000
χ944-4-444-24-2-4-4-42-4424-24-20-2-22-42-4422000000004-400000000-22-22000000000000-224-40000000000000000000000-2200000000000000000000000000
χ954-4-444-24-2-4-4-42-4424-24-20-2-22-42-442200000000-4400000000-22-220000000000002-2-4400000000000000000000002-200000000000000000000000000
χ964-4-444-2-2-2-42-422-224-2-210-2122-12-2-120023−232323−23−234-4000000001-11-1000−33−3−333000-22-2223−23000000000000000000001-10000−3300000000000000000000
χ974-4-444-2-2-2-42-422-224-2-210-2122-12-2-120023−232323−23−23-44000000001-11-1000−33−3−3330002-22-2−232300000000000000000000-1100003−300000000000000000000
χ984-4-444-2-2-2-42-422-224-2-210-2122-12-2-1200−2323−23−2323234-4000000001-11-10003−333−3−3000-22-22−2323000000000000000000001-100003−300000000000000000000
χ994-4-444-2-2-2-42-422-224-2-210-2122-12-2-1200−2323−23−232323-44000000001-11-10003−333−3−30002-22-223−2300000000000000000000-110000−3300000000000000000000
χ1004-4-44-24442-42-4-44-4-2-2-240-2422-42-2-4200000000004i−4i000000-22-220000000000000000004i−4i−2i2i0000−2i−2i2i2i000000000000000000000000000000000000
χ1014-4-44-24442-42-4-44-4-2-2-240-2422-42-2-420000000000−4i4i000000-22-22000000000000000000−4i4i2i−2i00002i2i−2i−2i000000000000000000000000000000000000
χ1024-4-44-24-24222-42-2-4-2-21-20-2-22-12-11220023−23−3−333004i−4i00−2i32i3−2i32i31-11-100023−23−3−333000000000−2i2i−2i2i0000ii−i−ii3−i3i3−i300000000000000000000000000000000
χ1034-4-44-24-24222-42-2-4-2-21-20-2-22-12-11220023−23−3−33300−4i4i002i3−2i32i3−2i31-11-100023−23−3−3330000000002i−2i2i−2i0000−i−iii−i3i3−i3i300000000000000000000000000000000
χ1044-4-44-24-24222-42-2-4-2-21-20-2-22-12-112200−232333−3−3004i−4i002i3−2i32i3−2i31-11-1000−232333−3−3000000000−2i2i−2i2i0000ii−i−i−i3i3−i3i300000000000000000000000000000000
χ1054-4-44-24-24222-42-2-4-2-21-20-2-22-12-112200−232333−3−300−4i4i00−2i32i3−2i32i31-11-1000−232333−3−30000000002i−2i2i−2i0000−i−iiii3−i3i3−i300000000000000000000000000000000
χ1068888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ10888-8-88-4-4484-8-4-444-8-4-4204-2-4-4244-240000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-44-444-4-44442220-2-2222-2-2-2-2−4i34i3002i3−2i32i3−2i30000000000-111-102i3−2i300−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-44-444-4-44442220-2-2222-2-2-2-24i3−4i300−2i32i3−2i32i30000000000-111-10−2i32i300i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-44-8-48444-4-8-4-4204-244-2-442-400000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-48448-44-8-8-442-4-40-24-244-44-4200000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-444-4-4444-442220-2-2-2-2-22-22200006i−6i−6i6i0000000000-1-11100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-444-4-4444-442220-2-2-2-2-22-2220000−6i6i6i−6i0000000000-1-111000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-48-44-844-884-42-4-402-4-2444-44-20000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4-444444-44-4222022-2-2-2-22-2-20043−43−23−2323230000000000-11-11000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4-444444-44-4222022-2-2-2-22-2-200−43432323−23−230000000000-11-1100023−23−3−333000000000000000000000000000000000000000000000000000000000

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