Finite Group Databasebeta

← Group #13168535

Character table — Group #13168535

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222222444444444444444444444466666688888888888812121212121212121212121212121212121212121212121818181818182424242424242424242424242424363636363636363636363654547272108
order1222333446666666663336666666661212121212121212121244121212123666121212121212121224444661212121212121212121212121212121222444466612121212121212121212122446666121212124412122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-11-111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111111111111111111111111111111111-11-1-1-1-1-1111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-11
χ51111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-111-1-1-1-11111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-11111-1-1-1-1-1-11111111-11-1-11-1-111-1-1-11-1-1-1-1-1111111-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-111-1-1-1-1-1111-11-1-111-1-111-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-111-1-111111-1-111-11111-1-1-1-1-1-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-11-111-111-1-111-1-1111-1-111-1-1111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-111-1-11111-1-1-1-1-1-1111111-1-111111-11-1-11-1-111-1-1-1-1111-1-111-1-1-1-11-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-111-1-1-1-1-11111-11111-1-1-1-111-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-111-1-111111-1-11-11-1-111-1-111111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-11111-1-11111-1-1-11-111-111-1-111-11-1-1-1-1-11111-1-1-111
χ17222222-122222-1-12-1222-1-1-1-12-122-1-1-12222-1-12222000000-1-1-1-1-1-1-1-1-1-1-1-120222220000002200000000000022-1-1-1-1-12-12-1-1-1-1-1-120000-1-1-1-10000000
χ18222222-122222-1-12-1222-1-1-1-12-122-1-1-12222-1-12222000000-1-1-1-1-1-1-1-1-1-1-1-1202-2-22200000022000000000000-2-2-1-1-1-11-21-2-1-11111-2000011110000000
χ19222222-122222-1-12-1222-1-1-1-12-122-1-1-12222-1-12222000000-1-1-1-1-1-1-1-1-1-1-1-1-20-222-2-2000000-2-2000000000000-2-21111-12-1211-1-1-1-1-2000011110000000
χ20222222-122222-1-12-1222-1-1-1-12-122-1-1-12222-1-12222000000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2-2-2000000-2-20000000000002211111-21-211111120000-1-1-1-10000000
χ21222222-1-2-2222-1-12-1222-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-2000000-1-1-1-11111111120-22-222000000-2-200000000000022-1-1-11-1-21211-1-111-2000011-1-10000000
χ22222222-1-2-2222-1-12-1222-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-2000000-1-1-1-11111111120-2-2222000000-2-2000000000000-2-2-1-1-1112-1-21111-1-120000-1-1110000000
χ23222222-1-2-2222-1-12-1222-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-2000000-1-1-1-111111111-2022-2-2-200000022000000000000-2-2111-1-1-212-1-1-1-11120000-1-1110000000
χ24222222-1-2-2222-1-12-1222-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-2000000-1-1-1-111111111-202-22-2-20000002200000000000022111-112-1-2-1-111-1-1-2000011-1-10000000
χ2522222-1222-12-122222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122200-1-122-1-122-1-1-1-1-1-1-1-1-1-12222002-1-120000-1-10000000-1-10000-1-100000
χ2622222-1222-12-122222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-22-2001122-1-12211-1-1-1-1-1-1-1-1-2-2-2-200-211-200001100000001100001100000
χ2722222-1222-12-122222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-12-2200-1-1-2-211-2-2-1-111111111-2-2-2-2002-1-120000-1-100000001100001100000
χ2822222-1222-12-122222-1-12-12-1-1-1-1-12-12-1-12222-1-1-1-1-2-21111-1-1-1-1-1-122-1-1-1-1-2-2-20011-2-211-2-21111111111222200-211-20000110000000-1-10000-1-100000
χ2922222-12-2-2-12-122222-1-12-12-1-1-1-1-12-1211-2-2-2-2111122-1-1-1-1-1-1-1-111-2-211112-2-200-1-12211-2-211-1-1-1-11111-2-222002-1-1-20000110000000110000-1-100000
χ3022222-12-2-2-12-122222-1-12-12-1-1-1-1-12-1211-2-2-2-2111122-1-1-1-1-1-1-1-111-2-21111-2-2200112211-2-2-1-1-1-1-1-1111122-2-200-21120000-1-10000000-1-100001100000
χ3122222-12-2-2-12-122222-1-12-12-1-1-1-1-12-1211-2-2-2-21111-2-21111-1-1-1-111-2-2111122-200-1-1-2-2-1-122111111-1-1-1-122-2-2002-1-1-20000110000000-1-100001100000
χ3222222-12-2-2-12-122222-1-12-12-1-1-1-1-12-1211-2-2-2-21111-2-21111-1-1-1-111-2-21111-2220011-2-2-1-122-1-11111-1-1-1-1-2-22200-21120000-1-10000000110000-1-100000
χ332222-122222-1222-12-12-1-12-12-12-1-1-12-122-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-10202200-1-122-1-100-1-1-1-1-1-1-1-100000000002-12-100-1-1-1-10220000000000-1-10
χ342222-122222-1222-12-12-1-12-12-12-1-1-12-122-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1020-2-200-1-122-1-100-1-1-1-1-1-1-1-10000000000-21-210011110-2-20000000000110
χ352222-122222-1222-12-12-1-12-12-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-10-20220011-2-211001111111100000000002-12-100-1-1-1-10-2-20000000000110
χ362222-122222-1222-12-12-1-12-12-12-1-1-12-122-1-122-1-1-1-1-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-10-20-2-20011-2-21100111111110000000000-21-210011110220000000000-1-10
χ372222-122-2-22-1222-12-12-1-12-12-12-1-1-12-1-2-211-2-21111222222-1-1-1-1-2-21111110-202-200-1-1-2-21100-1-1-1-11111000000000021-2-100-1-11102-200000000001-10
χ382222-122-2-22-1222-12-12-1-12-12-12-1-1-12-1-2-211-2-21111222222-1-1-1-1-2-21111110-20-2200-1-1-2-21100-1-1-1-111110000000000-2-1210011-1-10-220000000000-110
χ392222-122-2-22-1222-12-12-1-12-12-12-1-1-12-1-2-211-2-21111-2-2-2-2-2-2-1-1-1-1-2-21111110202-2001122-1-1001111-1-1-1-1000000000021-2-100-1-1110-220000000000-110
χ402222-122-2-22-1222-12-12-1-12-12-12-1-1-12-1-2-211-2-21111-2-2-2-2-2-2-1-1-1-1-2-2111111020-22001122-1-1001111-1-1-1-10000000000-2-1210011-1-102-200000000001-10
χ4122-2-222200-22-22-2-2-2-222222-2-2-22-2-22-200000000002-222-2-222-2-20000000000000002-200000022-2-2000000002i−2i0000000000000000000002i−2i002i−2i000
χ4222-2-222200-22-22-2-2-2-222222-2-2-22-2-22-200000000002-222-2-222-2-20000000000000002-200000022-2-200000000−2i2i000000000000000000000−2i2i00−2i2i000
χ4322-2-222200-22-22-2-2-2-222222-2-2-22-2-22-20000000000-22-2-22222-2-2000000000000000-22000000-2-222000000002i−2i0000000000000000000002i−2i00−2i2i000
χ4422-2-222200-22-22-2-2-2-222222-2-2-22-2-22-20000000000-22-2-22222-2-2000000000000000-22000000-2-22200000000−2i2i000000000000000000000−2i2i002i−2i000
χ452-22-22222i−2i-2-22-22-2-22-2222-22-2-2-222-2-22i−2i2i−2i2i−2i2i2i−2i−2i0000002-22-22i−2i2i−2i2i2i−2i−2i000000000000000000000002-22i−2i00000000000000000002-200002i−2i00000
χ462-22-22222i−2i-2-22-22-2-22-2222-22-2-2-222-2-22i−2i2i−2i2i−2i2i2i−2i−2i0000002-22-22i−2i2i−2i2i2i−2i−2i00000000000000000000000-22−2i2i0000000000000000000-220000−2i2i00000
χ472-22-2222−2i2i-2-22-22-2-22-2222-22-2-2-222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i0000002-22-2−2i2i−2i2i−2i−2i2i2i000000000000000000000002-2−2i2i00000000000000000002-20000−2i2i00000
χ482-22-2222−2i2i-2-22-22-2-22-2222-22-2-2-222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i0000002-22-2−2i2i−2i2i−2i−2i2i2i00000000000000000000000-222i−2i0000000000000000000-2200002i−2i00000
χ492-22-22-122i−2i1-2-1-22-2-221-12-1-2-1111-121-2−ii2i−2i2i−2i−i−iii003−33−3-11-11−ii2i−2i−i−iii00000−i3i300−i3i3003−33−33−3−i3−i3i3i32-22i−2i000−i3i3000003−30000000-110000−ii00000
χ502-22-22-122i−2i1-2-1-22-2-221-12-1-2-1111-121-2−ii2i−2i2i−2i−i−iii003−33−3-11-11−ii2i−2i−i−iii00000i3−i300−i3i300−333−33−3−i3−i3i3i3-22−2i2i000i3−i300000−3300000001-10000i−i00000
χ512-22-22-122i−2i1-2-1-22-2-221-12-1-2-1111-121-2−ii2i−2i2i−2i−i−iii00−33−33-11-11−ii2i−2i−i−iii00000−i3i300i3−i3003−3−33−33i3i3−i3−i3-22−2i2i000−i3i3000003−300000001-10000i−i00000
χ522-22-22-122i−2i1-2-1-22-2-221-12-1-2-1111-121-2−ii2i−2i2i−2i−i−iii00−33−33-11-11−ii2i−2i−i−iii00000i3−i300i3−i300−33−33−33i3i3−i3−i32-22i−2i000i3−i300000−330000000-110000−ii00000
χ532-22-22-12−2i2i1-2-1-22-2-221-12-1-2-1111-121-2i−i−2i2i−2i2iii−i−i003−33−3-11-11i−i−2i2iii−i−i00000−i3i300i3−i300−333−33−3i3i3−i3−i3-222i−2i000−i3i300000−3300000001-10000−ii00000
χ542-22-22-12−2i2i1-2-1-22-2-221-12-1-2-1111-121-2i−i−2i2i−2i2iii−i−i003−33−3-11-11i−i−2i2iii−i−i00000i3−i300i3−i3003−33−33−3i3i3−i3−i32-2−2i2i000i3−i3000003−30000000-110000i−i00000
χ552-22-22-12−2i2i1-2-1-22-2-221-12-1-2-1111-121-2i−i−2i2i−2i2iii−i−i00−33−33-11-11i−i−2i2iii−i−i00000−i3i300−i3i300−33−33−33−i3−i3i3i32-2−2i2i000−i3i300000−330000000-110000i−i00000
χ562-22-22-12−2i2i1-2-1-22-2-221-12-1-2-1111-121-2i−i−2i2i−2i2iii−i−i00−33−33-11-11i−i−2i2iii−i−i00000i3−i300−i3i3003−3−33−33−i3−i3i3i3-222i−2i000i3−i3000003−300000001-10000−ii00000
χ5744444-2-244-24-2-2-24-24-2-2-21-21-21-2-2-21-2-2-244-2-2-2-2-2-2000000111111-2-2111140400-2-2000000-2-200000000000000-211-200001100000000000000000000
χ5844444-2-244-24-2-2-24-24-2-2-21-21-21-2-2-21-2-2-244-2-2-2-2-2-2000000111111-2-21111-40-4002200000022000000000000002-1-120000-1-100000000000000000000
χ5944444-2-2-4-4-24-2-2-24-24-2-2-21-21-21-2-2-21-222-4-42222220000001111-1-122-1-1-1-140-400-2-20000002200000000000000-21120000-1-100000000000000000000
χ6044444-2-2-4-4-24-2-2-24-24-2-2-21-21-21-2-2-21-222-4-42222220000001111-1-122-1-1-1-1-4040022000000-2-2000000000000002-1-1-200001100000000000000000000
χ614444-24-2444-24-2-2-2-2-24-21-21-2-2-2-2-21-2144-2-2-2-2-2-2-2-20000001111-2-2111111000440000000000000000000000000000-2-2-2-20011110000000000000000
χ624444-24-2444-24-2-2-2-2-24-21-21-2-2-2-2-21-2144-2-2-2-2-2-2-2-20000001111-2-2111111000-4-40000000000000000000000000000222200-1-1-1-10000000000000000
χ634444-24-2-4-44-24-2-2-2-2-24-21-21-2-2-2-2-21-21-4-422222222000000111122-1-1-1-1-1-10004-40000000000000000000000000000-222-20011-1-10000000000000000
χ644444-24-2-4-44-24-2-2-2-2-24-21-21-2-2-2-2-21-21-4-422222222000000111122-1-1-1-1-1-1000-4400000000000000000000000000002-2-2200-1-1110000000000000000
χ654444-2-2444-2-2-244-24-2-21-2-2-2-21-211-2-2-2-2-2-2-244111144-2-2-2-21111-2-2-2-211110400000-2-2-2-2-2-20011111111000000000000000000000000000000000000
χ664444-2-2444-2-2-244-24-2-21-2-2-2-21-211-2-2-2-2-2-2-2441111-4-422221111-2-2-2-211110-40000022222200-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ674444-2-24-4-4-2-2-244-24-2-21-2-2-2-21-211-2-2-22222-4-4-1-1-1-144-2-2-2-211112222-1-1-1-10-400000-2-22222001111-1-1-1-1000000000000000000000000000000000000
χ684444-2-24-4-4-2-2-244-24-2-21-2-2-2-21-211-2-2-22222-4-4-1-1-1-1-4-4222211112222-1-1-1-1040000022-2-2-2-200-1-1-1-11111000000000000000000000000000000000000
χ6944-4-444-200-44-4-22-42-444-2-2-22-424-42-220000000000000000-2-222000000000000000000000000000000000004i−4i000000000000000000000−2i2i0000000
χ7044-4-444-200-44-4-22-42-444-2-2-22-424-42-220000000000000000-2-22200000000000000000000000000000000000−4i4i0000000000000000000002i−2i0000000
χ7144-4-44-24002424-4-4-4-4-2-24-24222-22-4-2-400000000004-4-2-222-2-2220000000000000004-4000000-2-2220000000000000000000000000000000000000000
χ7244-4-44-24002424-4-4-4-4-2-24-24222-22-4-2-40000000000-4422-2-2-2-222000000000000000-4400000022-2-20000000000000000000000000000000000000000
χ7344-4-4-24400-4-2-44-42-424-2-24-2-42-4-2224200000000004-444-4-4-2-222000000000000000-22000000-2-2220000000000000000000000000000000000000000
χ7444-4-4-24400-4-2-44-42-424-2-24-2-42-4-222420000000000-44-4-444-2-2220000000000000002-200000022-2-20000000000000000000000000000000000000000
χ7544-4-4-2-24002-224-42-42-21-2-2-22-121-12-220000003i−3i3i−3i4-4-2-22211-1-100003i−3i3i−3i0000000-2200000011-1-13i−3i3i−3i000000000000000000000000000000000000
χ7644-4-4-2-24002-224-42-42-21-2-2-22-121-12-220000003i−3i3i−3i-4422-2-211-1-100003i−3i3i−3i00000002-2000000-1-111−3i3i−3i3i000000000000000000000000000000000000
χ7744-4-4-2-24002-224-42-42-21-2-2-22-121-12-22000000−3i3i−3i3i4-4-2-22211-1-10000−3i3i−3i3i0000000-2200000011-1-1−3i3i−3i3i000000000000000000000000000000000000
χ7844-4-4-2-24002-224-42-42-21-2-2-22-121-12-22000000−3i3i−3i3i-4422-2-211-1-10000−3i3i−3i3i00000002-2000000-1-1113i−3i3i−3i000000000000000000000000000000000000
χ794-44-444-24i−4i-4-442-2-424-44-2-22-2-42-44-2224i−4i4i−4i−2i2i4i4i−4i−4i000000-22-22−2i2i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000
χ804-44-444-2−4i4i-4-442-2-424-44-2-22-2-42-44-222−4i4i−4i4i2i−2i−4i−4i4i4i000000-22-222i−2i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000
χ814-44-44-2-24i−4i2-4-22-2-4242-2-21212-12-2-2-12−2i2i4i−4i−2i2i−2i−2i2i2i0000001-11-1i−i−2i2iii−i−i00000−2i32i300000023−23000000000000000i3−i300000−3300000000000000000000
χ824-44-44-2-24i−4i2-4-22-2-4242-2-21212-12-2-2-12−2i2i4i−4i−2i2i−2i−2i2i2i0000001-11-1i−i−2i2iii−i−i000002i3−2i3000000−2323000000000000000−i3i3000003−300000000000000000000
χ834-44-44-2-2−4i4i2-4-22-2-4242-2-21212-12-2-2-122i−2i−4i4i2i−2i2i2i−2i−2i0000001-11-1−ii2i−2i−i−iii00000−2i32i3000000−2323000000000000000i3−i3000003−300000000000000000000
χ844-44-44-2-2−4i4i2-4-22-2-4242-2-21212-12-2-2-122i−2i−4i4i2i−2i2i2i−2i−2i0000001-11-1−ii2i−2i−i−iii000002i3−2i300000023−23000000000000000−i3i300000−3300000000000000000000
χ854-44-4-2444i−4i-424-442-4-2-4-2-24242-42-2-2-424i−4i−2i2i4i−4i−2i−2i2i2i000000-22-224i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000
χ864-44-4-244−4i4i-424-442-4-2-4-2-24242-42-2-2-42−4i4i2i−2i−4i4i2i2i−2i−2i000000-22-22−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000
χ874-44-4-24-24i−4i-4242-222-2-4-21-2-1-2222-212-14i−4i−2i2i−2i2i−2i−2i2i2i0000001-11-1−2i2ii−iii−i−i0000000000000000000000000000000000000003-33i−3i0000000000000000
χ884-44-4-24-24i−4i-4242-222-2-4-21-2-1-2222-212-14i−4i−2i2i−2i2i−2i−2i2i2i0000001-11-1−2i2ii−iii−i−i000000000000000000000000000000000000000-33−3i3i0000000000000000
χ894-44-4-24-2−4i4i-4242-222-2-4-21-2-1-2222-212-1−4i4i2i−2i2i−2i2i2i−2i−2i0000001-11-12i−2i−ii−i−iii0000000000000000000000000000000000000003-3−3i3i0000000000000000
χ904-44-4-24-2−4i4i-4242-222-2-4-21-2-1-2222-212-1−4i4i2i−2i2i−2i2i2i−2i−2i0000001-11-12i−2i−ii−i−iii000000000000000000000000000000000000000-333i−3i0000000000000000
χ914-44-4-2-244i−4i22-2-442-4-221-2-22-2-12-11-222−2i2i−2i2i4i−4iii−i−i0023−2323−231-11-1−2i2i−2i2iii−i−i000000000−2i32i30000−33−33i3i3−i3−i3000000000000000000000000000000000000
χ924-44-4-2-244i−4i22-2-442-4-221-2-22-2-12-11-222−2i2i−2i2i4i−4iii−i−i00−2323−23231-11-1−2i2i−2i2iii−i−i0000000002i3−2i300003−33−3−i3−i3i3i3000000000000000000000000000000000000
χ934-44-4-2-24−4i4i22-2-442-4-221-2-22-2-12-11-2222i−2i2i−2i−4i4i−i−iii0023−2323−231-11-12i−2i2i−2i−i−iii0000000002i3−2i30000−33−33−i3−i3i3i3000000000000000000000000000000000000
χ944-44-4-2-24−4i4i22-2-442-4-221-2-22-2-12-11-2222i−2i2i−2i−4i4i−i−iii00−2323−23231-11-12i−2i2i−2i−i−iii000000000−2i32i300003−33−3i3i3−i3−i3000000000000000000000000000000000000
χ954-4-44444004-4-4-4-444-4-4444-4-444-4-4-4-4400000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ964-4-4444-2004-4-4224-2-4-44-2-2224-2-4-422-20000000000000000-222-200000000000000000000000000000000000000000000000000000000−2i32i3000000000
χ974-4-4444-2004-4-4224-2-4-44-2-2224-2-4-422-20000000000000000-222-2000000000000000000000000000000000000000000000000000000002i3−2i3000000000
χ984-4-444-2400-2-42-4-444-42-24-2-42-2-222-42400000000000023−23−2323-222-20000000000000000000000023−23−23230000000000000000000000000000000000000000
χ994-4-444-2400-2-42-4-444-42-24-2-42-2-222-424000000000000−232323−23-222-200000000000000000000000−232323−230000000000000000000000000000000000000000
χ1004-4-44-2440042-4-4-4-242-4-2-242-4-24222-4-20000000000000000-222-2000000000000000000023−2300000023−23−2323000000000000000000000000000000000000
χ1014-4-44-2440042-4-4-4-242-4-2-242-4-24222-4-20000000000000000-222-20000000000000000000−2323000000−232323−23000000000000000000000000000000000000
χ1024-4-44-2-2400-222-4-4-24221-2-2221-2-1-122-20000003-3-330023−23−23231-1-1100003-3-330000000000023−2300−333−3−333−3000000000000000000000000000000000000
χ1034-4-44-2-2400-222-4-4-24221-2-2221-2-1-122-20000003-3-3300−232323−231-1-1100003-3-3300000000000−2323003−3−333−3−33000000000000000000000000000000000000
χ1044-4-44-2-2400-222-4-4-24221-2-2221-2-1-122-2000000-333-30023−23−23231-1-110000-333-300000000000−232300−333−33−3−33000000000000000000000000000000000000
χ1054-4-44-2-2400-222-4-4-24221-2-2221-2-1-122-2000000-333-300−232323−231-1-110000-333-30000000000023−23003−3−33−333−3000000000000000000000000000000000000
χ1068888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-42222000000-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1078888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-2000000-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000
χ10888-8-88-4-400484-44-84-8-4-4-42-4-24-2-44424000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-48-400-8-4-8-444448-42-42444-44-2-4-2000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4004-44-44444-42222-2-2-22-2-22-20000006i−6i6i−6i000000-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-4004-44-44444-42222-2-2-22-2-22-2000000−6i6i−6i6i000000-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-48i−8i44-44-444-44222-22-2-2-222-2-2−4i4i−4i4i−4i4i2i2i−2i−2i000000-11-112i−2i2i−2i−i−iii00000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-4−8i8i44-44-444-44222-22-2-2-222-2-24i−4i4i−4i4i−4i−2i−2i2i2i000000-11-11−2i2i−2i2iii−i−i00000000000000000000000000000000000000000000000000000000000
χ1148-8-888-4-400-4-84448-4-84-4-424-2-42444-2-400000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-48-40084-844-4-44-8-42-4-24-4-444-24200000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400-44444-4-444222-2-222-2-2-2-220000006-6-66000000-111-10000-333-300000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400-44444-4-444222-2-222-2-2-2-22000000-666-6000000-111-100003-3-3300000000000000000000000000000000000000000000000000000000000

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