Finite Group Databasebeta

← Group #13168260

Character table — Group #13168260

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order12223334466666666633366666666612121212121222443666121212121212121212124444666612121212121212121212121244444412121212121212126612121212121212121212121212122446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-111111111-1-111-1-11111-1-1-1-1-1-1-1-11111111-11-11111-1-111-1-11-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-11-11111111-1-1111111-1-1-1-111-1-11111-1-1-1-111-11-1111-1-111-1-111-11-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-11-1-111-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111111-11-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11-11-1-1-111-1-111-1-1-11-1-1-1-1-111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-11-11-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-11-11-1-1-1-111-1-1111-1-111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-11111-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-11111-111-1-11111-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111111-1-1-1-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-111111-111111-1-1-1-1-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-111-111-1-111111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111111111111111-1-1-111-11111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-11
χ17222222-122-1-122222-122-1-12-1-1-12-1-12-12222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1202022-1-1-1-1-1-1002200-1-12200000000-1-1-1-1-1-12020-1-1-1-100-1-100200-1-100000000
χ18222222-122-1-122222-122-1-12-1-1-12-1-12-12222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-20-2022-1-1-1-11100220011-2-2000000001111-1-1-20-20-1-111001100-2001100000000
χ19222222-122-1-122222-122-1-12-1-1-12-1-12-12222-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-12020-2-21111-1-100-2-200-1-1-2-200000000111111202011-1-100-1-100-2001100000000
χ20222222-122-1-122222-122-1-12-1-1-12-1-12-12222-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1-20-20-2-211111100-2-200112200000000-1-1-1-111-20-201111001100200-1-100000000
χ21222222-1-2-2-1-122222-122-1-12-1-1-12-1-12-1-2-2-2-21122-2-2-1-1-1-111-2-211111120-2022-1-1111100-2-200-1-12200000000-1-1-1-1-1-120-20111100-1-100-2001100000000
χ22222222-1-2-2-1-122222-122-1-12-1-1-12-1-12-1-2-2-2-21122-2-2-1-1-1-111-2-2111111-202022-1-111-1-100-2-20011-2-2000000001111-1-1-202011-1-1001100200-1-100000000
χ23222222-1-2-2-1-122222-122-1-12-1-1-12-1-12-1-2-2-2-211-2-222-1-1-1-111-2-211111120-20-2-211-1-111002200-1-1-2-20000000011111120-20-1-11100-1-100200-1-100000000
χ24222222-1-2-2-1-122222-122-1-12-1-1-12-1-12-1-2-2-2-211-2-222-1-1-1-111-2-2111111-2020-2-211-1-1-1-1002200112200000000-1-1-1-111-2020-1-1-1-1001100-2001100000000
χ2522222-122222-122-1-122-12-1-12-1-1-12-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-10202-1-1222200-1-1-1-1-1-100002200-1-1-1-10000-1-10202-1-100-1-100-1-10200000-1-10000
χ2622222-122222-122-1-122-12-1-12-1-1-12-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-10-20-2-1-122220011-1-1110000-2-20011110000-1-10-20-2-1-1001100110-200000110000
χ2722222-122222-122-1-122-12-1-12-1-1-12-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1020211-2-2-2-200-1-111-1-10000-2-200111100001102021100-1-100-1-10-200000110000
χ2822222-122222-122-1-122-12-1-12-1-1-12-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-10-20-211-2-2-2-20011111100002200-1-1-1-10000110-20-211001100110200000-1-10000
χ2922222-12-2-222-122-1-122-12-1-12-1-1-12-1-1211-2-2-2-222-2-2-1-1-1-11111-2-21111020-2-1-122-2-200-1-111110000-2-20011110000-1-1020-211001100-1-10200000-1-10000
χ3022222-12-2-222-122-1-122-12-1-12-1-1-12-1-1211-2-2-2-222-2-2-1-1-1-11111-2-211110-202-1-122-2-2001111-1-100002200-1-1-1-10000-1-10-2021100-1-100110-200000110000
χ3122222-12-2-222-122-1-122-12-1-12-1-1-12-1-1211-2-2-2-2-2-222-1-1-1-11111-2-21111020-211-2-22200-1-1-1-11100002200-1-1-1-1000011020-2-1-1001100-1-10-200000110000
χ3222222-12-2-222-122-1-122-12-1-12-1-1-12-1-1211-2-2-2-2-2-222-1-1-1-11111-2-211110-20211-2-2220011-1-1-1-10000-2-20011110000110-202-1-100-1-100110200000-1-10000
χ332222-12222222-1-1222-1-1-12-1-122-1-12-1-122-1-1220000-1-1-1-122-1-1-1-1-1-1-1-1222200000022220022220000220000000000-1-1-1-100-1-1-1-1-1-1-1-100200-1-100-1-100
χ342222-12222222-1-1222-1-1-12-1-122-1-12-1-122-1-1220000-1-1-1-122-1-1-1-1-1-1-1-12-22-200000022-2-200-2-2220000-2-20000000000-11-1100-1-111-1-11100-20011001100
χ352222-12222222-1-1222-1-1-12-1-122-1-12-1-122-1-1220000-1-1-1-122-1-1-1-1-1-1-1-1-22-22000000-2-2220022-2-20000-2-200000000001-11-10011-1-111-1-100-20011001100
χ362222-12222222-1-1222-1-1-12-1-122-1-12-1-122-1-1220000-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2000000-2-2-2-200-2-2-2-200002200000000001111001111111100200-1-100-1-100
χ372222-122-2-2222-1-1222-1-1-12-1-122-1-12-1-1-2-211-2-20000-1-1-1-1-2-21111111122-2-2000000-2-22200-2-2220000-2-20000000000-1-111001111-1-1-1-100200-1-1001100
χ382222-122-2-2222-1-1222-1-1-12-1-122-1-12-1-1-2-211-2-20000-1-1-1-1-2-2111111112-2-22000000-2-2-2-20022220000220000000000-111-10011-1-1-1-11100-2001100-1-100
χ392222-122-2-2222-1-1222-1-1-12-1-122-1-12-1-1-2-211-2-20000-1-1-1-1-2-211111111-222-2000000222200-2-2-2-200002200000000001-1-1100-1-11111-1-100-2001100-1-100
χ402222-122-2-2222-1-1222-1-1-12-1-122-1-12-1-1-2-211-2-20000-1-1-1-1-2-211111111-2-22200000022-2-20022-2-20000-2-2000000000011-1-100-1-1-1-1111100200-1-1001100
χ412-22-222200-2-222-2-2-22-2222-2-2-22-2-2-22200000000002-2-220000000000000000000000000000002-22i−2i2i−2i2i2i−2i−2i22-2-200000000000000000000000002i−2i00
χ422-22-222200-2-222-2-2-22-2222-2-2-22-2-2-22200000000002-2-220000000000000000000000000000002-2−2i2i−2i2i−2i−2i2i2i22-2-20000000000000000000000000−2i2i00
χ432-22-222200-2-222-2-2-22-2222-2-2-22-2-2-22200000000002-2-22000000000000000000000000000000-222i−2i−2i2i2i2i−2i−2i-2-2220000000000000000000000000−2i2i00
χ442-22-222200-2-222-2-2-22-2222-2-2-22-2-2-22200000000002-2-22000000000000000000000000000000-22−2i2i2i−2i−2i−2i2i2i-2-22200000000000000000000000002i−2i00
χ452-2-222222i−2i2-2-2-2-22-2-22222-2-22-222-2-2-22i−2i2i−2i2i−2i2-22i−2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i00002-22-22i−2i00002i−2i0000000000000000002-200002i−2i000000000000000000000
χ462-2-222222i−2i2-2-2-2-22-2-22222-2-22-222-2-2-22i−2i2i−2i2i−2i-22−2i2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i0000-22-22−2i2i0000−2i2i000000000000000000-220000−2i2i000000000000000000000
χ472-2-22222−2i2i2-2-2-2-22-2-22222-2-22-222-2-2-2−2i2i−2i2i−2i2i2-2−2i2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-22-2−2i2i0000−2i2i0000000000000000002-20000−2i2i000000000000000000000
χ482-2-22222−2i2i2-2-2-2-22-2-22222-2-22-222-2-2-2−2i2i−2i2i−2i2i-222i−2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i0000-22-222i−2i00002i−2i000000000000000000-2200002i−2i000000000000000000000
χ492-2-2222-12i−2i-11-2-2-22-2122-1-1-21-112-11-212i−2i2i−2i−ii2-22i−2i-1-111−ii2i−2i−ii−i−iii00002-2-11−ii−i3i3002i−2i003−300000000003−33−3-110000−ii−i3i3003−300000−i3i300000000
χ502-2-2222-12i−2i-11-2-2-22-2122-1-1-21-112-11-212i−2i2i−2i−ii2-22i−2i-1-111−ii2i−2i−ii−i−iii00002-2-11−iii3−i3002i−2i00−330000000000−33−33-110000−iii3−i300−3300000i3−i300000000
χ512-2-2222-12i−2i-11-2-2-22-2122-1-1-21-112-11-212i−2i2i−2i−ii-22−2i2i-1-111−ii2i−2i−ii−i−iii0000-221-1i−i−i3i300−2i2i003−30000000000−33−331-10000i−i−i3i3003−300000i3−i300000000
χ522-2-2222-12i−2i-11-2-2-22-2122-1-1-21-112-11-212i−2i2i−2i−ii-22−2i2i-1-111−ii2i−2i−ii−i−iii0000-221-1i−ii3−i300−2i2i00−3300000000003−33−31-10000i−ii3−i300−3300000−i3i300000000
χ532-2-2222-1−2i2i-11-2-2-22-2122-1-1-21-112-11-21−2i2i−2i2ii−i2-2−2i2i-1-111i−i−2i2ii−iii−i−i00002-2-11i−i−i3i300−2i2i00−330000000000−33−33-110000i−i−i3i300−3300000−i3i300000000
χ542-2-2222-1−2i2i-11-2-2-22-2122-1-1-21-112-11-21−2i2i−2i2ii−i2-2−2i2i-1-111i−i−2i2ii−iii−i−i00002-2-11i−ii3−i300−2i2i003−300000000003−33−3-110000i−ii3−i3003−300000i3−i300000000
χ552-2-2222-1−2i2i-11-2-2-22-2122-1-1-21-112-11-21−2i2i−2i2ii−i-222i−2i-1-111i−i−2i2ii−iii−i−i0000-221-1−ii−i3i3002i−2i00−3300000000003−33−31-10000−ii−i3i300−3300000i3−i300000000
χ562-2-2222-1−2i2i-11-2-2-22-2122-1-1-21-112-11-21−2i2i−2i2ii−i-222i−2i-1-111i−i−2i2ii−iii−i−i0000-221-1−iii3−i3002i−2i003−30000000000−33−331-10000−iii3−i3003−300000−i3i300000000
χ572-2-222-122i−2i2-21-2-2-11-22-12-11-2-11-1211-2−ii2i−2i2i−2i2-22i−2i-1-111−ii−ii2i−2i−i−iii0000-112-22i−2i003−3−ii−i3i300000000−i3i3−i3i30000-110000−ii00−i3i3003−300000003−30000
χ582-2-222-122i−2i2-21-2-2-11-22-12-11-2-11-1211-2−ii2i−2i2i−2i2-22i−2i-1-111−ii−ii2i−2i−i−iii0000-112-22i−2i00−33−iii3−i300000000i3−i3i3−i30000-110000−ii00i3−i300−330000000−330000
χ592-2-222-122i−2i2-21-2-2-11-22-12-11-2-11-1211-2−ii2i−2i2i−2i-22−2i2i-1-111−ii−ii2i−2i−i−iii00001-1-22−2i2i003−3i−i−i3i300000000i3−i3i3−i300001-10000i−i00−i3i3003−30000000−330000
χ602-2-222-122i−2i2-21-2-2-11-22-12-11-2-11-1211-2−ii2i−2i2i−2i-22−2i2i-1-111−ii−ii2i−2i−i−iii00001-1-22−2i2i00−33i−ii3−i300000000−i3i3−i3i300001-10000i−i00i3−i300−3300000003−30000
χ612-2-222-12−2i2i2-21-2-2-11-22-12-11-2-11-1211-2i−i−2i2i−2i2i2-2−2i2i-1-111i−ii−i−2i2iii−i−i0000-112-2−2i2i003−3i−ii3−i300000000i3−i3i3−i30000-110000i−i00i3−i3003−300000003−30000
χ622-2-222-12−2i2i2-21-2-2-11-22-12-11-2-11-1211-2i−i−2i2i−2i2i2-2−2i2i-1-111i−ii−i−2i2iii−i−i0000-112-2−2i2i00−33i−i−i3i300000000−i3i3−i3i30000-110000i−i00−i3i300−330000000−330000
χ632-2-222-12−2i2i2-21-2-2-11-22-12-11-2-11-1211-2i−i−2i2i−2i2i-222i−2i-1-111i−ii−i−2i2iii−i−i00001-1-222i−2i003−3−iii3−i300000000−i3i3−i3i300001-10000−ii00i3−i3003−30000000−330000
χ642-2-222-12−2i2i2-21-2-2-11-22-12-11-2-11-1211-2i−i−2i2i−2i2i-222i−2i-1-111i−ii−i−2i2iii−i−i00001-1-222i−2i00−33−ii−i3i300000000i3−i3i3−i300001-10000−ii00−i3i300−3300000003−30000
χ6544444-2-244-2-2-244-2-2-24-2-21-2-211-2-21-2-2-2-244-2-24444111111-2-2-2-211110000-2-2-2-2-2-20000-2-200000000000000000011000011000000000000000000000
χ6644444-2-244-2-2-244-2-2-24-2-21-2-211-2-21-2-2-2-244-2-2-4-4-4-4111111-2-2-2-211110000222222000022000000000000000000-1-10000-1-1000000000000000000000
χ6744444-2-2-4-4-2-2-244-2-2-24-2-21-2-211-2-21-2-222-4-42244-4-41111-1-12222-1-1-1-10000-2-2-2-222000022000000000000000000110000-1-1000000000000000000000
χ6844444-2-2-4-4-2-2-244-2-2-24-2-21-2-211-2-21-2-222-4-422-4-4441111-1-12222-1-1-1-100002222-2-20000-2-2000000000000000000-1-1000011000000000000000000000
χ694444-24-244-2-24-2-244-2-2-21-2-21-2-2-21-2-2144-2-2-2-200001111-2-2-2-21111114040000000-2-2000000-2-20000000000000000-20-2000110011000000000000000
χ704444-24-244-2-24-2-244-2-2-21-2-21-2-2-21-2-2144-2-2-2-200001111-2-2-2-2111111-40-4000000022000000220000000000000000202000-1-100-1-1000000000000000
χ714444-24-2-4-4-2-24-2-244-2-2-21-2-21-2-2-21-2-21-4-42222000011112222-1-1-1-1-1-140-4000000022000000-2-20000000000000000-202000-1-10011000000000000000
χ724444-24-2-4-4-2-24-2-244-2-2-21-2-21-2-2-21-2-21-4-42222000011112222-1-1-1-1-1-1-4040000000-2-200000022000000000000000020-20001100-1-1000000000000000
χ734444-2-244444-2-2-2-2-24-21-2-21-2-2-21-2-21-2-2-2-2-24400001111-2-211-2-21111040400000000-2-200-2-20000000000000000000-20-200001100110000000000000
χ744444-2-244444-2-2-2-2-24-21-2-21-2-2-21-2-21-2-2-2-2-24400001111-2-211-2-211110-40-40000000022002200000000000000000002020000-1-100-1-10000000000000
χ754444-2-24-4-444-2-2-2-2-24-21-2-21-2-2-21-2-21-22222-4-40000111122-1-122-1-1-1-1040-400000000-2-200220000000000000000000-2020000-1-100110000000000000
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χ8144-4-44-2400-442-442-2-4-4-24-2-24222-4-22-40000000000-22-22000000000000000000000000000000000000−232323−23000000000000000000000000000000000
χ8244-4-4-24400-44-42-2-44-42-2-24-2-2-4-4224220000000000-22-2200000000000000000000000000000000000000000000000000000000000000000−2i32i3000000
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χ884-44-4-24400-4-44-22-4-442-2-2422-4422-4-2-20000000000-222-200000000000000000000000000000000004i−4i000000000000000000000000000000000−2i2i00
χ894-44-4-24400-4-44-22-4-442-2-2422-4422-4-2-20000000000-222-20000000000000000000000000000000000−4i4i0000000000000000000000000000000002i−2i00
χ904-4-444-2-24i−4i-222-4-4-2224-2-21221-1-2-2-122−2i2i4i−4i−2i2i4-44i−4i11-1-1i−i−2i2i−2i2iii−i−i0000-22-22−2i2i0000−2i2i0000000000000000001-10000i−i000000000000000000000
χ914-4-444-2-24i−4i-222-4-4-2224-2-21221-1-2-2-122−2i2i4i−4i−2i2i-44−4i4i11-1-1i−i−2i2i−2i2iii−i−i00002-22-22i−2i00002i−2i000000000000000000-110000−ii000000000000000000000
χ924-4-444-2-2−4i4i-222-4-4-2224-2-21221-1-2-2-1222i−2i−4i4i2i−2i4-4−4i4i11-1-1−ii2i−2i2i−2i−i−iii0000-22-222i−2i00002i−2i0000000000000000001-10000−ii000000000000000000000
χ934-4-444-2-2−4i4i-222-4-4-2224-2-21221-1-2-2-1222i−2i−4i4i2i−2i-444i−4i11-1-1−ii2i−2i2i−2i−i−iii00002-22-2−2i2i0000−2i2i000000000000000000-110000i−i000000000000000000000
χ944-4-44-2444i−4i4-4-4224-4-4-2-2-24224-4-2-2-4224i−4i−2i2i4i−4i0000-2-2224i−4i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ954-4-44-244−4i4i4-4-4224-4-4-2-2-24224-4-2-2-422−4i4i2i−2i−4i4i0000-2-222−4i4i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ964-4-44-24-24i−4i-22-4224-42-2-21-22-1-22-2122-14i−4i−2i2i−2i2i000011-1-1−2i2i−2i2ii−iii−i−i0000000000−2i32i300000023−230000000000000000000000i3−i300−33000000000000000
χ974-4-44-24-24i−4i-22-4224-42-2-21-22-1-22-2122-14i−4i−2i2i−2i2i000011-1-1−2i2i−2i2ii−iii−i−i00000000002i3−2i3000000−23230000000000000000000000−i3i3003−3000000000000000
χ984-4-44-24-2−4i4i-22-4224-42-2-21-22-1-22-2122-1−4i4i2i−2i2i−2i000011-1-12i−2i2i−2i−ii−i−iii0000000000−2i32i3000000−23230000000000000000000000i3−i3003−3000000000000000
χ994-4-44-24-2−4i4i-22-4224-42-2-21-22-1-22-2122-1−4i4i2i−2i2i−2i000011-1-12i−2i2i−2i−ii−i−iii00000000002i3−2i300000023−230000000000000000000000−i3i300−33000000000000000
χ1004-4-44-2-244i−4i4-4222-22-4-21-2-2-12-221-22-12−2i2i−2i2i4i−4i000011-1-1−2i2ii−i−2i2iii−i−i00000000000023−2300−2i32i300000000000000000000000000i3−i300−330000000000000
χ1014-4-44-2-244i−4i4-4222-22-4-21-2-2-12-221-22-12−2i2i−2i2i4i−4i000011-1-1−2i2ii−i−2i2iii−i−i000000000000−2323002i3−2i300000000000000000000000000−i3i3003−30000000000000
χ1024-4-44-2-24−4i4i4-4222-22-4-21-2-2-12-221-22-122i−2i2i−2i−4i4i000011-1-12i−2i−ii2i−2i−i−iii00000000000023−23002i3−2i300000000000000000000000000−i3i300−330000000000000
χ1034-4-44-2-24−4i4i4-4222-22-4-21-2-2-12-221-22-122i−2i2i−2i−4i4i000011-1-12i−2i−ii2i−2i−i−iii000000000000−232300−2i32i300000000000000000000000000i3−i3003−30000000000000
χ1048888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-40000-1-1-1-1222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1058888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444440000-1-1-1-1-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-4-4004-44-884-44-8-4-42-4-4-2-24424400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-48-4004-4-84-4-8844-42-4-42444-2-44-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4800-8844-44-4-842-4-42-444-24-4-2400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4004-444-44-44422222-2-2-2-22-2-20000000000-11-1100000033−3333−33000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4004-444-44-44422222-2-2-2-22-2-20000000000-11-11000000−3333−3333000000000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-40044-48-844-4-8-4-4244-2244-2-4-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-400448-44-8-8-44-42-44-24-44-24-4200000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4800-8-8-4-4444842-4-4-244-4-2442-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-40044-4-4444-44222-2-2-22-2-2-2220000000000-111-1000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-40044-4-4444-44222-2-2-22-2-2-2220000000000-111-10000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-48i−8i-44444-444-4222-2-22-222-2-2-2−4i4i−4i4i−4i4i0000-1-1112i−2i2i−2i2i−2i−i−iii000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4−8i8i-44444-444-4222-2-22-222-2-2-24i−4i4i−4i4i−4i0000-1-111−2i2i−2i2i−2i2iii−i−i000000000000000000000000000000000000000000000000000000000000000

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