Finite Group Databasebeta

← Group #13169361

Character table — Group #13169361

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222222244444444444444444444444466668888888888121212121212121212121212121212121212121212121212121212121212121212121212181824242424242424243636363636363636365454545472727272
order12223334466666666612121212333666666666121212121212121212121212444436661212121212122444666666661212121212121212121212121212121212121212121212124412121212121212124444412121212224412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111111111111-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111111-11-1-1-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111111111111111111111111111111111-1-111111111111-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-11111-111-1
χ51111111111111111111111111111111111111111111111-1-1111111111111-1111-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-111111111-11-11-1-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111111111-1-1111111111111-1-1-11-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111111-1-1-1-1
χ81111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-11111
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1111111-11-11-1-1111-1-11-111-1-1-1-111-1-111
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-11111111-11-111-1-1-111-1-111-1-111-1-111-1-1
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-1-11-11-1-11111-1-11-1-11111-1-1-11-11
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111111-1-11-11-111-1-1-1-1111-1-111-1-1111-11-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111-1-11111-1-11-11-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-11-111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-1-111-1-111-11-11
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-11-11-1-111-111-1-111-1-1-1-11111-1-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-11-111-1-11-1-11-111-1-111-1-1-1-111
χ17222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1200222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000000002-1-1-1-100000000
χ18222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-122-2-2-1-1-1-122-1-1-1-1200-222-1-1-1-1-1-1-2-2-1-11111-2-22211111111-1-1-1-1-2-2000000000000-2111100000000
χ19222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-2-222-1-1-1-122-1-1-1-1-2002-2-21111112211-1-1-1-122-2-2-1-1-1-1-1-1-1-11111-2-2000000000000-2111100000000
χ20222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-200-2-2-2111111-2-2111111-2-2-2-2111111111111220000000000002-1-1-1-100000000
χ21222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-2111111112222-1-1-1-1-2-21111-200-2-2-2111111-2-2-1-1-1-1112222-1-1-1-11111-1-1-1-122000000000000-2-1-11100000000
χ22222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-21111111122-2-2-1-1-1-1-2-21111-2002-2-211111122-1-111-1-1-2-2221111-1-1-1-1-1-1-1-1-2-2000000000000211-1-100000000
χ23222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-211111111-2-222-1-1-1-1-2-21111200-222-1-1-1-1-1-1-2-211-1-11122-2-2-1-1-1-111111111-2-2000000000000211-1-100000000
χ24222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-211111111-2-2-2-2-1-1-1-1-2-21111200222-1-1-1-1-1-1221111-1-1-2-2-2-21111-1-1-1-1111122000000000000-2-1-11100000000
χ2522222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1-1-12220-1-122-1-1-1-10022000000-1-100000000-1-1-1-100-122-1-1-1-1-12020000000000-100-1
χ2622222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-12200-1-1-1-1-1-1-1-1-1-12-2-20-1-122-1-1-1-10022000000-1-100000000-1-1-1-1001-2-211111-20-200000000001001
χ2722222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-200-1-1-1-1-1-1-1-1-1-1-222011-2-2111100-2-20000001100000000111100-122-1-1-1-1-1-20-200000000001001
χ2822222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-200-1-1-1-1-1-1-1-1-1-1-2-2-2011-2-2111100-2-200000011000000001111001-2-2111112020000000000-100-1
χ2922222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-211112200-1-1-1-1111111-22-2011-2-211110022000000-1-100000000-1-1-1-10012-2-111-1-120-20000000000100-1
χ3022222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-211112200-1-1-1-1111111-2-22011-2-211110022000000-1-100000000-1-1-1-100-1-221-1-111-2020000000000-1001
χ3122222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-200-1-1-1-111111122-20-1-122-1-1-1-100-2-2000000110000000011110012-2-111-1-1-2020000000000-1001
χ3222222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-200-1-1-1-11111112-220-1-122-1-1-1-100-2-20000001100000000111100-1-221-1-11120-20000000000100-1
χ332222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-122220022-1-1-1-1-1-1-1-1-1-1022200000000-1-1002222-1-100-1-1-1-1-1-1-1-10000002-1-12-1-1-1-102020000000000-1-10
χ342222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-122220022-1-1-1-1-1-1-1-1-1-10-2-2200000000-1-1002222-1-100-1-1-1-1-1-1-1-1000000-211-211110-20-20000000000110
χ352222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-1222200-2-2-1-1-1-1-1-1-1-1-1-1022-2000000001100-2-2-2-21100111111110000002-1-12-1-1-1-10-20-20000000000110
χ362222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-1222200-2-2-1-1-1-1-1-1-1-1-1-10-2-2-2000000001100-2-2-2-2110011111111000000-211-2111102020000000000-1-10
χ372222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-20022-1-1-1-111111102-2-200000000110022-2-2-1-100-1-1-1-11111000000-2-11211-1-10-20200000000001-10
χ382222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-20022-1-1-1-11111110-22-200000000110022-2-2-1-100-1-1-1-1111100000021-1-2-1-111020-20000000000-110
χ392222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-200-2-2-1-1-1-111111102-2200000000-1-100-2-22211001111-1-1-1-1000000-2-11211-1-1020-20000000000-110
χ402222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-200-2-2-1-1-1-11111110-22200000000-1-100-2-22211001111-1-1-1-100000021-1-2-1-1110-20200000000001-10
χ4122-2-222200-2-22-2-2-22-220000222-2-2-22-2-2-2220000000000002-22i−2i2-2-22000000000000000000002-22i−2i002i−2i2-22i2i−2i−2i000022-2-22i−2i00000000000002i−2i0000000000
χ4222-2-222200-2-22-2-2-22-220000222-2-2-22-2-2-2220000000000002-2−2i2i2-2-22000000000000000000002-2−2i2i00−2i2i2-2−2i−2i2i2i000022-2-2−2i2i0000000000000−2i2i0000000000
χ4322-2-222200-2-22-2-2-22-220000222-2-2-22-2-2-222000000000000-222i−2i2-2-2200000000000000000000-222i−2i002i−2i-222i2i−2i−2i0000-2-222−2i2i0000000000000−2i2i0000000000
χ4422-2-222200-2-22-2-2-22-220000222-2-2-22-2-2-222000000000000-22−2i2i2-2-2200000000000000000000-22−2i2i00−2i2i-22−2i−2i2i2i0000-2-2222i−2i00000000000002i−2i0000000000
χ4522-2-222-100-2-2-1-2112-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i32-22i−2i-111-100−i3−i3i3i3000000−i3i3−i3−i3i3i300-11−ii3−32i−2i2-2−i−iii33−3−3-1-1112i−2i0000000000000−ii3−300000000
χ4622-2-222-100-2-2-1-2112-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i32-2−2i2i-111-100−i3−i3i3i3000000−i3i3−i3−i3i3i300-11i−i−33−2i2i2-2ii−i−i−3−333-1-111−2i2i0000000000000i−i−3300000000
χ4722-2-222-100-2-2-1-2112-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i3-222i−2i-111-100−i3−i3i3i3000000i3−i3i3i3−i3−i3001-1−ii3−32i−2i-22−i−iii33−3−311-1-1−2i2i0000000000000i−i−3300000000
χ4822-2-222-100-2-2-1-2112-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i3-22−2i2i-111-100−i3−i3i3i3000000i3−i3i3i3−i3−i3001-1i−i−33−2i2i-22ii−i−i−3−33311-1-12i−2i0000000000000−ii3−300000000
χ4922-2-222-100-2-2-1-2112-22i3i3−i3−i32-1-1-211-1-2112-10000i3i3−i3−i3i3i3−i3−i32-22i−2i-111-100i3i3−i3−i3000000i3−i3i3i3−i3−i300-11−ii−332i−2i2-2−i−iii−3−333-1-1112i−2i0000000000000−ii−3300000000
χ5022-2-222-100-2-2-1-2112-22i3i3−i3−i32-1-1-211-1-2112-10000i3i3−i3−i3i3i3−i3−i32-2−2i2i-111-100i3i3−i3−i3000000i3−i3i3i3−i3−i300-11i−i3−3−2i2i2-2ii−i−i33−3−3-1-111−2i2i0000000000000i−i3−300000000
χ5122-2-222-100-2-2-1-2112-22i3i3−i3−i32-1-1-211-1-2112-10000i3i3−i3−i3i3i3−i3−i3-222i−2i-111-100i3i3−i3−i3000000−i3i3−i3−i3i3i3001-1−ii−332i−2i-22−i−iii−3−33311-1-1−2i2i0000000000000i−i3−300000000
χ5222-2-222-100-2-2-1-2112-22i3i3−i3−i32-1-1-211-1-2112-10000i3i3−i3−i3i3i3−i3−i3-22−2i2i-111-100i3i3−i3−i3000000−i3i3−i3−i3i3i3001-1i−i3−3−2i2i-22ii−i−i33−3−311-1-12i−2i0000000000000−ii−3300000000
χ532-22-22222i−2i-2-2-222-2-22-22i−2i2i−2i222-22-2-222-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000022-2-22i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000002-22i−2i0000
χ542-22-22222i−2i-2-2-222-2-22-22i−2i2i−2i222-22-2-222-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000022-2-22i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000-22−2i2i0000
χ552-22-2222−2i2i-2-2-222-2-22-2−2i2i−2i2i222-22-2-222-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000022-2-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000002-2−2i2i0000
χ562-22-2222−2i2i-2-2-222-2-22-2−2i2i−2i2i222-22-2-222-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000022-2-2−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000-222i−2i0000
χ5744444-2-244-24-2-2-2-244-2-2-2-2-2-2-21-211-2-2-2-2-2144-2-2-2-2-2-2111144001111-2-211114000-2-2-2-2111100-2-2000000-2-2000000001111000000000000000000000000000
χ5844444-2-244-24-2-2-2-244-2-2-2-2-2-2-21-211-2-2-2-2-2144-2-2-2-2-2-21111-4-4001111-2-21111-40002222-1-1-1-100220000002200000000-1-1-1-1000000000000000000000000000
χ5944444-2-2-4-4-24-2-2-2-244-22222-2-21-211-2-2-2-2-21-4-4222222-1-1-1-14400111122-1-1-1-1-40002222-1-1-1-100-2-2000000-2-2000000001111000000000000000000000000000
χ6044444-2-2-4-4-24-2-2-2-244-22222-2-21-211-2-2-2-2-21-4-4222222-1-1-1-1-4-400111122-1-1-1-14000-2-2-2-2111100220000002200000000-1-1-1-1000000000000000000000000000
χ614444-24-2444-2-24-2-2-2-24-2-2-2-2-21-2-2-2-21-211-2-2-2-2441111-2-2-2-200441111-2-21111000400000000-2-200-2-2-2-2-2-200111111110000000000000000000000000000000
χ624444-24-2444-2-24-2-2-2-24-2-2-2-2-21-2-2-2-21-211-2-2-2-2441111-2-2-2-200-4-41111-2-21111000-400000000220022222200-1-1-1-1-1-1-1-10000000000000000000000000000000
χ634444-24-2-4-44-2-24-2-2-2-242222-21-2-2-2-21-211-2-222-4-4-1-1-1-122220044111122-1-1-1-1000-4000000002200-2-222-2-2001111-1-1-1-10000000000000000000000000000000
χ644444-24-2-4-44-2-24-2-2-2-242222-21-2-2-2-21-211-2-222-4-4-1-1-1-1222200-4-4111122-1-1-1-1000400000000-2-20022-2-22200-1-1-1-111110000000000000000000000000000000
χ654444-2-2444-2-24-244-2-2-244441-2-21-2-2-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-20000111111111104400000000000000000000000000000000000-2-2-2-2111100000000000000000
χ664444-2-2444-2-24-244-2-2-244441-2-21-2-2-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2000011111111110-4-4000000000000000000000000000000000002222-1-1-1-100000000000000000
χ674444-2-24-4-4-2-24-244-2-2-2-4-4-4-41-2-21-2-2-21-2-21-222222222222200001111-1-1-1-1-1-104-4000000000000000000000000000000000002-22-2-1-11100000000000000000
χ684444-2-24-4-4-2-24-244-2-2-2-4-4-4-41-2-21-2-2-21-2-21-222222222222200001111-1-1-1-1-1-10-4400000000000000000000000000000000000-22-2211-1-100000000000000000
χ6944-4-44-24002-442-4-44-4-20000-24-222242-4-4-2-20000000000004-400-222-2000000000000000000004-4000000-2200000000-2-222000000000000000000000000000
χ7044-4-44-24002-442-4-44-4-20000-24-222242-4-4-2-2000000000000-4400-222-200000000000000000000-440000002-20000000022-2-2000000000000000000000000000
χ7144-4-44-2-2002-4-22224-4-2−2i3−2i32i32i3-2-212-1-1-2222-210000−2i3−2i32i32i3i3i3−i3−i34-4001-1-1100i3i3−i3−i3000000−2i32i3i3i3−i3−i300-22000000-220000000011-1-1000000000000000000000000000
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χ7544-4-4-24400-424-4-4-4-2240000-2-242-4-4-2222-24000000000000004i−4i-222-200000000000000000000004i−4i00−2i2i00−2i−2i2i2i00000000000000000000000000000000000
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χ834-44-44-244i−4i2-4-4-24-4-4424i−4i4i−4i-24-22-22-4-24-4224i−4i−2i2i4i−4i4i−4i−2i2i−2i2i0000-2-222−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000
χ844-44-44-24−4i4i2-4-4-24-4-442−4i4i−4i4i-24-22-22-4-24-422−4i4i2i−2i−4i4i−4i4i2i−2i2i−2i0000-2-2222i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000
χ854-44-44-2-24i−4i2-42-2-22-442−2i2i−2i2i-2-2121-12-2-222-14i−4i−2i2i−2i2i−2i2ii−ii−i000011-1-1−2i2ii−ii−i000000003-33-3000000000000000000003i−3i3i−3i000000000000000000000000000
χ864-44-44-2-24i−4i2-42-2-22-442−2i2i−2i2i-2-2121-12-2-222-14i−4i−2i2i−2i2i−2i2ii−ii−i000011-1-1−2i2ii−ii−i00000000-33-3300000000000000000000−3i3i−3i3i000000000000000000000000000
χ874-44-44-2-2−4i4i2-42-2-22-4422i−2i2i−2i-2-2121-12-2-222-1−4i4i2i−2i2i−2i2i−2i−ii−ii000011-1-12i−2i−ii−ii000000003-33-300000000000000000000−3i3i−3i3i000000000000000000000000000
χ884-44-44-2-2−4i4i2-42-2-22-4422i−2i2i−2i-2-2121-12-2-222-1−4i4i2i−2i2i−2i2i−2i−ii−ii000011-1-12i−2i−ii−ii00000000-33-33000000000000000000003i−3i3i−3i000000000000000000000000000
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χ904-44-4-244−4i4i-42-444-42-2-4−4i4i−4i4i-2-2424-42-2-222-42i−2i−4i4i2i−2i2i−2i−4i4i−4i4i0000-2-2222i−2i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000
χ914-44-4-24-24i−4i-4224-222-2-4−2i2i−2i2i-21-22-22-1-21-122−2i2i4i−4ii−ii−i−2i2i−2i2i000011-1-1−2i2ii−ii−i0000000000000000000000003-33-33i−3i3i−3i0000000000000000000000000000000
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χ934-44-4-24-2−4i4i-4224-222-2-42i−2i2i−2i-21-22-22-1-21-1222i−2i−4i4i−ii−ii2i−2i2i−2i000011-1-12i−2i−ii−ii0000000000000000000000003-33-3−3i3i−3i3i0000000000000000000000000000000
χ944-44-4-24-2−4i4i-4224-222-2-42i−2i2i−2i-21-22-22-1-21-1222i−2i−4i4i−ii−ii2i−2i2i−2i000011-1-12i−2i−ii−ii000000000000000000000000-33-333i−3i3i−3i0000000000000000000000000000000
χ954-44-4-2-244i−4i22-4-24-42-224i−4i4i−4i1-2-2-1-2221-22-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000011-1-1i−ii−ii−i0000000000000000000000000000000000000000003-33i−3i00000000000000000
χ964-44-4-2-244i−4i22-4-24-42-224i−4i4i−4i1-2-2-1-2221-22-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000011-1-1i−ii−ii−i000000000000000000000000000000000000000000-33−3i3i00000000000000000
χ974-44-4-2-24−4i4i22-4-24-42-22−4i4i−4i4i1-2-2-1-2221-22-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000011-1-1−ii−ii−ii0000000000000000000000000000000000000000003-3−3i3i00000000000000000
χ984-44-4-2-24−4i4i22-4-24-42-22−4i4i−4i4i1-2-2-1-2221-22-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000011-1-1−ii−ii−ii000000000000000000000000000000000000000000-333i−3i00000000000000000
χ994-4-444440044-4-4-44-4-4-400004444-44-4-4-44-4-400000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-4444-200442-42-2-4-4-423−23−23234-2-242-22-42-2-42000023−23−232323−23−23230000-22-220023−23−2323000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4444-200442-42-2-4-4-4−232323−234-2-242-22-42-2-420000−232323−23−232323−230000-22-2200−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1024-4-444-2400-24-42-44-4-420000-24-2-22-2-42-44220000000000000000-22-220000000000−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000
χ1034-4-444-2400-24-42-44-4-420000-24-2-22-2-42-44220000000000000000-22-2200000000002i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000
χ1044-4-444-2-200-24222-2-4-4223−23−2323-2-21-2-11222-22-1000023−23−2323−333−300001-11-100−333−30000−2i32i300i3−i3−i3i300000000000000000000−3i3i3i−3i000000000000000000000000000
χ1054-4-444-2-200-24222-2-4-4223−23−2323-2-21-2-11222-22-1000023−23−2323−333−300001-11-100−333−300002i3−2i300−i3i3i3−i3000000000000000000003i−3i−3i3i000000000000000000000000000
χ1064-4-444-2-200-24222-2-4-42−232323−23-2-21-2-11222-22-10000−232323−233−3−3300001-11-1003−3−330000−2i32i300i3−i3−i3i3000000000000000000003i−3i−3i3i000000000000000000000000000
χ1074-4-444-2-200-24222-2-4-42−232323−23-2-21-2-11222-22-10000−232323−233−3−3300001-11-1003−3−3300002i3−2i300−i3i3i3−i300000000000000000000−3i3i3i−3i000000000000000000000000000
χ1084-4-44-244004-2-4-4-4422-40000-2-24-2-44222-22-40000000000000000-22-22000000000000000000−2i32i300000000000000−2i32i32i3−2i30000000000000000000000000000000
χ1094-4-44-244004-2-4-4-4422-40000-2-24-2-44222-22-40000000000000000-22-220000000000000000002i3−2i3000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ1104-4-44-24-2004-22-42-222-423−23−2323-21-2-22-2-12-11220000−333−323−23−232300001-11-100−333−3000000000000−2i32i300000000003i−3i−3i3ii3−i3−i3i30000000000000000000000000000000
χ1114-4-44-24-2004-22-42-222-423−23−2323-21-2-22-2-12-11220000−333−323−23−232300001-11-100−333−30000000000002i3−2i30000000000−3i3i3i−3i−i3i3i3−i30000000000000000000000000000000
χ1124-4-44-24-2004-22-42-222-4−232323−23-21-2-22-2-12-112200003−3−33−232323−2300001-11-1003−3−33000000000000−2i32i30000000000−3i3i3i−3ii3−i3−i3i30000000000000000000000000000000
χ1134-4-44-24-2004-22-42-222-4−232323−23-21-2-22-2-12-112200003−3−33−232323−2300001-11-1003−3−330000000000002i3−2i300000000003i−3i−3i3i−i3i3i3−i30000000000000000000000000000000
χ1148888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4222222220000-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1158888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-20000-1-1-1-1-2-21111000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-48004484-8-8-44-400002-4-4-244-4-2442-400000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-40044-4444-44-4−4i3−4i34i34i3222-2-2-22-2-2-22200002i32i3−2i3−2i32i32i3−2i3−2i30000-111-100−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-40044-4444-44-44i34i3−4i3−4i3222-2-2-22-2-2-2220000−2i3−2i32i32i3−2i3−2i32i32i30000-111-100i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-48i−8i444-4-444-44−4i4i−4i4i222-22-2-222-2-2-2−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i0000-1-1112i−2i−ii−ii000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-4−8i8i444-4-444-444i−4i4i−4i222-22-2-222-2-2-24i−4i4i−4i−2i2i−2i2i−2i2i−2i2i0000-1-111−2i2ii−ii−i000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-4800-4-4-84-8844400002-4-424-44-24-4-2400000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-400-4-4444-444443−43−43432222-22-2-2-22-2-20000−232323−23−232323−230000-11-11003−3−33000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-400-4-4444-4444−434343−432222-22-2-2-22-2-2000023−23−232323−23−23230000-11-1100−333−3000000000000000000000000000000000000000000000000000000000000000

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