Finite Group Databasebeta

← Group #13169291

Character table — Group #13169291

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order1222333446666666663336666666661212121212121212121244443666121212121212121244442444661212121212121212121212121212121212121212121244121212126661212121212121212122444121222446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111111111-1-111111111-1-1-1-1-1-1111-11-111-1-1-1-1-11-11-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111111111-1-11111111111-1-1-1-1-1-1-1-1-11-11-1-111111-11-1-1-1-1-1-1-11-1-11
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-1-1-11-11-1-1-111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-11-11-1-11111-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-11111111-1-11-1-111-1-111-1-1-1-1-1-1111-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-11111-1-1-111-111-1-111-1-111-1-1-1-111-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-111-11111-1-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-11111111-1-11-1-111-1-1-1-111-1-111-1-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-11111-1-1-1-1-1-11111-1-11111-1-1-111-111-1-11111-1-1-1-111-1-11-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-11111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-111-111-1-111-1-111
χ17222222-1222-12-12222-1-1-12-12-12-1-1-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-100000022002222-1-1-1-1220022-1-1-1-1-1-1-1-1000000000-10-100-1-1-1-12020000000-100-1
χ18222222-1222-12-12222-1-1-12-12-12-1-1-12-122-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-1000000-2-200-2-222-1-1-1-12200-2-2-1-1-1-1-1-1-1-1000000000101001111-20-200000001001
χ19222222-1222-12-12222-1-1-12-12-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1000000220022-2-21111-2-2002211111111000000000-10-100-1-1-1-1-20-200000001001
χ20222222-1222-12-12222-1-1-12-12-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1000000-2-200-2-2-2-21111-2-200-2-2111111110000000001010011112020000000-100-1
χ21222222-1-2-22-12-12222-1-1-12-12-12-1-1-12-1-2-211-2-2111122-2-2-1-1-1-1-2-21111110000002-200-2-22211-1-1-2-20022-1-1-1-1111100000000010-100-1-11120-20000000-1001
χ22222222-1-2-22-12-12222-1-1-12-12-12-1-1-12-1-2-211-2-2111122-2-2-1-1-1-1-2-2111111000000-2200222211-1-1-2-200-2-2-1-1-1-11111000000000-1010011-1-1-2020000000100-1
χ23222222-1-2-22-12-12222-1-1-12-12-12-1-1-12-1-2-211-2-21111-2-222-1-1-1-1-2-21111110000002-200-2-2-2-2-1-1112200221111-1-1-1-100000000010-100-1-111-2020000000100-1
χ24222222-1-2-22-12-12222-1-1-12-12-12-1-1-12-1-2-211-2-21111-2-222-1-1-1-1-2-2111111000000-220022-2-2-1-1112200-2-21111-1-1-1-1000000000-1010011-1-120-20000000-1001
χ2522222-122222-12-122-122-1-12-1-1-12-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1000022002200-1-12222-1-12200-1-1-1-1-1-1-1-1000000-1-1-10-10-1-1000002020000000-1-10
χ2622222-122222-12-122-122-1-12-1-1-12-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000-2-200-2-200-1-12222-1-1-2-200-1-1-1-1-1-1-1-10000001110101100000-20-20000000110
χ2722222-122222-12-122-122-1-12-1-1-12-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-100002200220011-2-2-2-211220011111111000000-1-1-10-10-1-100000-20-20000000110
χ2822222-122222-12-122-122-1-12-1-1-12-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-200-2-20011-2-2-2-211-2-2001111111100000011101011000002020000000-1-10
χ2922222-12-2-222-12-122-122-1-12-1-1-12-1-1-12-2-2-2-211111122-2-2-1-1-1-111-2-2111100002-2002200-1-1-2-22211-2-200-1-1-1-11111000000-1-1-1010110000020-200000001-10
χ3022222-12-2-222-12-122-122-1-12-1-1-12-1-1-12-2-2-2-211111122-2-2-1-1-1-111-2-211110000-2200-2-200-1-1-2-222112200-1-1-1-111110000001110-10-1-100000-2020000000-110
χ3122222-12-2-222-12-122-122-1-12-1-1-12-1-1-12-2-2-2-2111111-2-222-1-1-1-111-2-2111100002-20022001122-2-2-1-1-2-2001111-1-1-1-1000000-1-1-10101100000-2020000000-110
χ3222222-12-2-222-12-122-122-1-12-1-1-12-1-1-12-2-2-2-2111111-2-222-1-1-1-111-2-211110000-2200-2-2001122-2-2-1-122001111-1-1-1-10000001110-10-1-10000020-200000001-10
χ332222-12222-12222-1-122-12-1-1-12-1-122-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-100000000-1-1-1-10000000022-1-1-1-12-1-1222-1-1-1-1-1-10000-1-100000000
χ342222-12222-12222-1-122-12-1-1-12-1-122-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211110000000011110000000022-1-1-1-1-211-2-2-21111110000-1-100000000
χ352222-12222-12222-1-122-12-1-1-12-1-122-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-1-11100000000-1-11100000000-2-211112-1-1-22-2-1-1111100001100000000
χ362222-12222-12222-1-122-12-1-1-12-1-122-1-1-1-1222222220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22211-1-10000000011-1-100000000-2-21111-2112-2211-1-1-1-100001100000000
χ372222-122-2-2-12222-1-122-12-1-1-12-1-122-1-111-2-2-2-2-2-2-2-20000-1-1-1-11111111122222-22-2-1-1110000000011-1-100000000-2-2-1-1-1-12-1-1-2-2211-1-11100001100000000
χ382222-122-2-2-12222-1-122-12-1-1-12-1-122-1-111-2-2-2-2-2-2-2-20000-1-1-1-1111111112222-22-2211-1-100000000-1-11100000000-2-2-1-1-1-1-21122-2-1-111-1-100001100000000
χ392222-122-2-2-12222-1-122-12-1-1-12-1-122-1-111-2-2-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-22-2-22-1-1-1-1000000001111000000002211112-1-12-2-21111-1-10000-1-100000000
χ402222-122-2-2-12222-1-122-12-1-1-12-1-122-1-111-2-2-2-2-2-2-2-20000-1-1-1-111111111-2-2-2-2-222-2111100000000-1-1-1-100000000221111-211-222-1-1-1-1110000-1-100000000
χ4122-2-222200-2-22-2-22-2-222222-2-2-2-22-22-20000000000002i−2i22-2-2000000002i2i−2i−2i00000000002i−2i002i−2i000000002i2i−2i−2i002i2i−2i−2i0000000000000000002-2000000
χ4222-2-222200-2-22-2-22-2-222222-2-2-2-22-22-20000000000002i−2i22-2-200000000−2i−2i2i2i00000000002i−2i002i−2i000000002i2i−2i−2i00−2i−2i2i2i000000000000000000-22000000
χ4322-2-222200-2-22-2-22-2-222222-2-2-2-22-22-2000000000000−2i2i22-2-2000000002i2i−2i−2i0000000000−2i2i00−2i2i00000000−2i−2i2i2i002i2i−2i−2i000000000000000000-22000000
χ4422-2-222200-2-22-2-22-2-222222-2-2-2-22-22-2000000000000−2i2i22-2-200000000−2i−2i2i2i0000000000−2i2i00−2i2i00000000−2i−2i2i2i00−2i−2i2i2i0000000000000000002-2000000
χ452-22-22222i−2i-2-2-22-2-222-2222-22-2-22-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i00002-22-22i−2i2i−2i2i2i−2i−2i2-22-200000000000000000000000000002i−2i2-22-200000000000000002i−2i00000000
χ462-22-22222i−2i-2-2-22-2-222-2222-22-2-22-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i00002-22-22i−2i2i−2i2i2i−2i−2i-22-220000000000000000000000000000−2i2i-22-220000000000000000−2i2i00000000
χ472-22-2222−2i2i-2-2-22-2-222-2222-22-2-22-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-22-2−2i2i−2i2i−2i−2i2i2i2-22-20000000000000000000000000000−2i2i2-22-20000000000000000−2i2i00000000
χ482-22-2222−2i2i-2-2-22-2-222-2222-22-2-22-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-22-2−2i2i−2i2i−2i−2i2i2i-22-2200000000000000000000000000002i−2i-22-2200000000000000002i−2i00000000
χ492-22-2-1222i−2i1-2-22-21-12-2-12-11-1-21-1-2211−ii2i−2i2i−2i2i2i−2i−2i0000-11-11−ii−ii−i−iii2-22-20000−i3i33−3000000003−3−i3i3000000002i−2i-11-110−i3i30003−3−i3i33−30000−ii00000000
χ502-22-2-1222i−2i1-2-22-21-12-2-12-11-1-21-1-2211−ii2i−2i2i−2i2i2i−2i−2i0000-11-11−ii−ii−i−iii2-22-20000i3−i3−3300000000−33i3−i3000000002i−2i-11-110i3−i3000−33i3−i3−330000−ii00000000
χ512-22-2-1222i−2i1-2-22-21-12-2-12-11-1-21-1-2211−ii2i−2i2i−2i2i2i−2i−2i0000-11-11−ii−ii−i−iii-22-220000−i3i3−33000000003−3i3−i300000000−2i2i1-11-10−i3i30003−3i3−i3−330000i−i00000000
χ522-22-2-1222i−2i1-2-22-21-12-2-12-11-1-21-1-2211−ii2i−2i2i−2i2i2i−2i−2i0000-11-11−ii−ii−i−iii-22-220000i3−i33−300000000−33−i3i300000000−2i2i1-11-10i3−i3000−33−i3i33−30000i−i00000000
χ532-22-2-122−2i2i1-2-22-21-12-2-12-11-1-21-1-2211i−i−2i2i−2i2i−2i−2i2i2i0000-11-11i−ii−iii−i−i2-22-20000−i3i3−3300000000−33−i3i300000000−2i2i-11-110−i3i3000−33−i3i3−330000i−i00000000
χ542-22-2-122−2i2i1-2-22-21-12-2-12-11-1-21-1-2211i−i−2i2i−2i2i−2i−2i2i2i0000-11-11i−ii−iii−i−i2-22-20000i3−i33−3000000003−3i3−i300000000−2i2i-11-110i3−i30003−3i3−i33−30000i−i00000000
χ552-22-2-122−2i2i1-2-22-21-12-2-12-11-1-21-1-2211i−i−2i2i−2i2i−2i−2i2i2i0000-11-11i−ii−iii−i−i-22-220000−i3i33−300000000−33i3−i3000000002i−2i1-11-10−i3i3000−33i3−i33−30000−ii00000000
χ562-22-2-122−2i2i1-2-22-21-12-2-12-11-1-21-1-2211i−i−2i2i−2i2i−2i−2i2i2i0000-11-11i−ii−iii−i−i-22-220000i3−i3−33000000003−3−i3i3000000002i−2i1-11-10i3−i30003−3−i3i3−330000−ii00000000
χ572-2-222220022-2-22-2-2-2-2222-2-222-2-2-2-2200000000002i−2i002-2-22000000002i−2i−2i2i000000002i−2i002i−2i0000002i2i−2i−2i0000002i−2i−2i2i000000000000000000002-20000
χ582-2-222220022-2-22-2-2-2-2222-2-222-2-2-2-2200000000002i−2i002-2-2200000000−2i2i2i−2i000000002i−2i002i−2i0000002i2i−2i−2i000000−2i2i2i−2i00000000000000000000-220000
χ592-2-222220022-2-22-2-2-2-2222-2-222-2-2-2-220000000000−2i2i002-2-22000000002i−2i−2i2i00000000−2i2i00−2i2i000000−2i−2i2i2i0000002i−2i−2i2i00000000000000000000-220000
χ602-2-222220022-2-22-2-2-2-2222-2-222-2-2-2-220000000000−2i2i002-2-2200000000−2i2i2i−2i00000000−2i2i00−2i2i000000−2i−2i2i2i000000−2i2i2i−2i000000000000000000002-20000
χ6144444-2-2444-2-2-2-244-2-2-21-2-2-21-2-211-2-244-2-2-2-2111144441111-2-2-2-21111000000000000-2-2-2-2-2-2-2-200001111111100000000000000000000000000000000
χ6244444-2-2444-2-2-2-244-2-2-21-2-2-21-2-211-2-244-2-2-2-21111-4-4-4-41111-2-2-2-21111000000000000222222220000-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6344444-2-2-4-44-2-2-2-244-2-2-21-2-2-21-2-211-2-2-4-42222-1-1-1-144-4-411112222-1-1-1-1000000000000-2-222-2-22200001111-1-1-1-100000000000000000000000000000000
χ6444444-2-2-4-44-2-2-2-244-2-2-21-2-2-21-2-211-2-2-4-42222-1-1-1-1-4-44411112222-1-1-1-100000000000022-2-222-2-20000-1-1-1-1111100000000000000000000000000000000
χ654444-24-244-2-24-24-2-24-21-2-21-2-2-21-2-2-21-2-2-2-244-2-2-2-200001111-2-21111110000004400-2-20000000000-2-200000000000000000-20-200111100000000000000
χ664444-24-244-2-24-24-2-24-21-2-21-2-2-21-2-2-21-2-2-2-244-2-2-2-200001111-2-2111111000000-4-400220000000000220000000000000000020200-1-1-1-100000000000000
χ674444-24-2-4-4-2-24-24-2-24-21-2-21-2-2-21-2-2-212222-4-422220000111122-1-1-1-1-1-10000004-400220000000000-2-20000000000000000020-20011-1-100000000000000
χ684444-24-2-4-4-2-24-24-2-24-21-2-21-2-2-21-2-2-212222-4-422220000111122-1-1-1-1-1-1000000-4400-2-200000000002200000000000000000-20200-1-11100000000000000
χ694444-2-2444-24-24-2-2-2-24-2-21-21-21-2-2-21-2-2-244-2-2-2-2-2-20000111111-2-2111100004400-2-20000000000-2-20000000000000000-2110-2011000000000000000000
χ704444-2-2444-24-24-2-2-2-24-2-21-21-21-2-2-21-2-2-244-2-2-2-2-2-20000111111-2-211110000-4-4002200000000002200000000000000002-1-1020-1-1000000000000000000
χ714444-2-24-4-4-24-24-2-2-2-24-2-21-21-21-2-2-21-222-4-422222200001111-1-122-1-1-1-100004-400-2-20000000000220000000000000000-211020-1-1000000000000000000
χ724444-2-24-4-4-24-24-2-2-2-24-2-21-21-21-2-2-21-222-4-422222200001111-1-122-1-1-1-10000-4400220000000000-2-200000000000000002-1-10-2011000000000000000000
χ7344-4-444-200-4242-44-4-4-2-2-24-2-42-42-22420000000000004i−4i-2-2220000000000000000000000−2i2i004i−4i00000000−2i−2i2i2i00000000000000000000000000000000
χ7444-4-444-200-4242-44-4-4-2-2-24-2-42-42-2242000000000000−4i4i-2-22200000000000000000000002i−2i00−4i4i000000002i2i−2i−2i00000000000000000000000000000000
χ7544-4-44-2400-4-4-2-424-4244-2-24222-4-22-2-40000000000004i−4i-2-22200000000000000000000004i−4i00−2i2i00000000−2i−2i2i2i00000000000000000000000000000000
χ7644-4-44-2400-4-4-2-424-4244-2-24222-4-22-2-4000000000000−4i4i-2-2220000000000000000000000−4i4i002i−2i000000002i2i−2i−2i00000000000000000000000000000000
χ7744-4-44-2-200-42-2224-42-2-21-2-22-1221-1-220000003i−3i3i−3i004i−4i11-1-100003i−3i3i−3i00000000000000−2i2i00−2i2i00003-33-3ii−i−i00000000000000000000000000000000
χ7844-4-44-2-200-42-2224-42-2-21-2-22-1221-1-220000003i−3i3i−3i00−4i4i11-1-100003i−3i3i−3i000000000000002i−2i002i−2i0000-33-33−i−iii00000000000000000000000000000000
χ7944-4-44-2-200-42-2224-42-2-21-2-22-1221-1-22000000−3i3i−3i3i004i−4i11-1-10000−3i3i−3i3i00000000000000−2i2i00−2i2i0000-33-33ii−i−i00000000000000000000000000000000
χ8044-4-44-2-200-42-2224-42-2-21-2-22-1221-1-22000000−3i3i−3i3i00−4i4i11-1-10000−3i3i−3i3i000000000000002i−2i002i−2i00003-33-3−i−iii00000000000000000000000000000000
χ8144-4-4-244002-44-4-4-22-44-24-2-22-4224-4-2200000000000000-2-222000000004i4i−4i−4i000000000000000000000000000000−2i−2i2i2i00000000000000000000000000
χ8244-4-4-244002-44-4-4-22-44-24-2-22-4224-4-2200000000000000-2-22200000000−4i−4i4i4i0000000000000000000000000000002i2i−2i−2i00000000000000000000000000
χ834-44-444-24i−4i-42-4-2-4-4442-2-24242-4-22-2-424i−4i−2i2i4i−4i−2i−2i2i2i0000-22-224i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ844-44-444-2−4i4i-42-4-2-4-4442-2-24242-4-22-2-42−4i4i2i−2i−4i4i2i2i−2i−2i0000-22-22−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ854-44-44-244i−4i-4-4242-44-2-44-2-2-4-22242-22-44i−4i4i−4i−2i2i−2i−2i2i2i0000-22-22−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ864-44-44-24−4i4i-4-4242-44-2-44-2-2-4-22242-22-4−4i4i−4i4i2i−2i2i2i−2i−2i0000-22-222i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ874-44-44-2-24i−4i-422-22-44-22-21-22-2-12-2-11224i−4i−2i2i−2i2iii−i−i00001-11-1−2i2i−2i2iii−i−i0000000000000000000000003i−3i−3i3i3-33-300000000000000000000000000000000
χ884-44-44-2-24i−4i-422-22-44-22-21-22-2-12-2-11224i−4i−2i2i−2i2iii−i−i00001-11-1−2i2i−2i2iii−i−i000000000000000000000000−3i3i3i−3i-33-3300000000000000000000000000000000
χ894-44-44-2-2−4i4i-422-22-44-22-21-22-2-12-2-1122−4i4i2i−2i2i−2i−i−iii00001-11-12i−2i2i−2i−i−iii0000000000000000000000003i−3i−3i3i-33-3300000000000000000000000000000000
χ904-44-44-2-2−4i4i-422-22-44-22-21-22-2-12-2-1122−4i4i2i−2i2i−2i−i−iii00001-11-12i−2i2i−2i−i−iii000000000000000000000000−3i3i3i−3i3-33-300000000000000000000000000000000
χ914-44-4-24-24i−4i22-4-2-42-2421-2-2-1-22212-22-1−2i2i−2i2i4i−4i−2i−2i2i2i00001-11-1−2i2ii−iii−i−i000000000023−230000000000−2i32i30000000000000000000000i3−i3−3300000000000000
χ924-44-4-24-24i−4i22-4-2-42-2421-2-2-1-22212-22-1−2i2i−2i2i4i−4i−2i−2i2i2i00001-11-1−2i2ii−iii−i−i0000000000−232300000000002i3−2i30000000000000000000000−i3i33−300000000000000
χ934-44-4-24-2−4i4i22-4-2-42-2421-2-2-1-22212-22-12i−2i2i−2i−4i4i2i2i−2i−2i00001-11-12i−2i−ii−i−iii000000000023−2300000000002i3−2i30000000000000000000000−i3i3−3300000000000000
χ944-44-4-24-2−4i4i22-4-2-42-2421-2-2-1-22212-22-12i−2i2i−2i−4i4i2i2i−2i−2i00001-11-12i−2i−ii−i−iii0000000000−23230000000000−2i32i30000000000000000000000i3−i33−300000000000000
χ954-44-4-2-244i−4i2-42422-2-2-4-2-21212-1-22-2-12−2i2i4i−4i−2i2i−2i−2i2i2i00001-11-1i−i−2i2iii−i−i00000000−2i32i3000000000023−2300000000000000000i3−i3000−33000000000000000000
χ964-44-4-2-244i−4i2-42422-2-2-4-2-21212-1-22-2-12−2i2i4i−4i−2i2i−2i−2i2i2i00001-11-1i−i−2i2iii−i−i000000002i3−2i30000000000−232300000000000000000−i3i30003−3000000000000000000
χ974-44-4-2-24−4i4i2-42422-2-2-4-2-21212-1-22-2-122i−2i−4i4i2i−2i2i2i−2i−2i00001-11-1−ii2i−2i−i−iii00000000−2i32i30000000000−232300000000000000000i3−i30003−3000000000000000000
χ984-44-4-2-24−4i4i2-42422-2-2-4-2-21212-1-22-2-122i−2i−4i4i2i−2i2i2i−2i−2i00001-11-1−ii2i−2i−i−iii000000002i3−2i3000000000023−2300000000000000000−i3i3000−33000000000000000000
χ994-4-4444-2004-2-424-4-4-42-2-242-4-24222-4-200000000004i−4i00-222-2000000000000000000004i−4i00−2i2i000000−2i−2i2i2i000000000000000000000000000000000000
χ1004-4-4444-2004-2-424-4-4-42-2-242-4-24222-4-20000000000−4i4i00-222-200000000000000000000−4i4i002i−2i0000002i2i−2i−2i000000000000000000000000000000000000
χ1014-4-444-2400442-4-2-4-42-44-2-2-42-2-2-4222400000000004i−4i00-222-200000000000000000000−2i2i004i−4i000000−2i−2i2i2i000000000000000000000000000000000000
χ1024-4-444-2400442-4-2-4-42-44-2-2-42-2-2-422240000000000−4i4i00-222-2000000000000000000002i−2i00−4i4i0000002i2i−2i−2i000000000000000000000000000000000000
χ1034-4-444-2-2004-222-2-4-422-21-2221-22-1-12-20000003-3-334i−4i001-1-1100003-3-33000000000000−2i2i00−2i2i000000ii−i−i−3i3i3i−3i00000000000000000000000000000000
χ1044-4-444-2-2004-222-2-4-422-21-2221-22-1-12-20000003-3-33−4i4i001-1-1100003-3-330000000000002i−2i002i−2i000000−i−iii3i−3i−3i3i00000000000000000000000000000000
χ1054-4-444-2-2004-222-2-4-422-21-2221-22-1-12-2000000-333-34i−4i001-1-110000-333-3000000000000−2i2i00−2i2i000000ii−i−i3i−3i−3i3i00000000000000000000000000000000
χ1064-4-444-2-2004-222-2-4-422-21-2221-22-1-12-2000000-333-3−4i4i001-1-110000-333-30000000000002i−2i002i−2i000000−i−iii−3i3i3i−3i00000000000000000000000000000000
χ1074-4-44-24400-24-4-4422-4-4-24-2224-22-4-42-200000000000000-222-2000000004i−4i−4i4i000000000000000000000000000000−2i2i2i−2i00000000000000000000000000
χ1084-4-44-24400-24-4-4422-4-4-24-2224-22-4-42-200000000000000-222-200000000−4i4i4i−4i0000000000000000000000000000002i−2i−2i2i00000000000000000000000000
χ1098888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-422220000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1108888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-48-4004484-8-44-8-42-4-42444-2-44-4-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-48004-8-4-84-4448-4-42-4-24-24-44240000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4-4-40044-444-444-42222-2-2-2-22-22-20000006i−6i6i−6i0000-1-1110000−3i3i−3i3i0000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-40044-444-444-42222-2-2-2-22-22-2000000−6i6i−6i6i0000-1-11100003i−3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-48i−8i444-444-4-44222-22-2-22-22-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000-11-112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4-4−8i8i444-444-4-44222-22-2-22-22-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000-11-11−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-48-400-4-4-84844-842-4-4-24-4-4-24442000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-4-4800-484-8-4444-8-4-424-2-42444-2-4000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-400-4-444-44444222-2-222-2-2-2-220000006-6-660000-111-10000-333-30000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-400-4-444-44444222-2-222-2-2-2-22000000-666-60000-111-100003-3-330000000000000000000000000000000000000000000000000000000000000000

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