Finite Group Databasebeta

← Group #13168570

Character table — Group #13168570

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order12223334466666666633366666666612121212121212121212444436661212121212121212444424446612121212121212121212121212121212121212121212221212121266612121212121212121224446644446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11-11-11111-1-111111111-1-111111111-1-1-1-1-1-1111-11-111-1-1-1-1-111-1-1-1-1-1-1-1-111-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-11-11-1-111111-1-11-1-1-1-1-1-11-1-11
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-1-1-11-1-11-1-111111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-11-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-111-1-1-11111-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-1-111-1-1-11-1111-1-111-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-111-111-1-1111-11-111-1-1111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-111-1-11-11-11111-1-11-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-111-111-1-111-11-111111-1-1-11-11
χ17222222-122-1-1222222-12-1-1-1-12-122-1-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-100000000-1-10000000022-1-1-1-12-1-1222-1-1-1-1-1-10000-1-100000000
χ18222222-122-1-1222222-12-1-1-1-12-122-1-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111100000000110000000022-1-1-1-1-211-2-2-21111110000-1-100000000
χ19222222-122-1-1222222-12-1-1-1-12-122-1-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-22-2-1-1-1-111000000001100000000-2-211112-1-1-22-2-1-1111100001100000000
χ20222222-122-1-1222222-12-1-1-1-12-122-1-1-12222-1-122220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22-221111-1-100000000-1-100000000-2-21111-2112-2211-1-1-1-100001100000000
χ21222222-1-2-2-1-1222222-12-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111222222-2-2-1-1111100000000-1-100000000-2-2-1-1-1-12-1-12-2-21111-1-100001100000000
χ22222222-1-2-2-1-1222222-12-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-20000-1-1-1-1111111112222-2-22211-1-1-1-1000000001100000000-2-2-1-1-1-1-211-222-1-1-1-11100001100000000
χ23222222-1-2-2-1-1222222-12-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-2-2-2-22-2-22-1-111-1-10000000011000000002211112-1-1-2-2211-1-1110000-1-100000000
χ24222222-1-2-2-1-1222222-12-1-1-1-12-122-1-1-1-2-2-2-211-2-2-2-20000-1-1-1-111111111-2-2-2-2-222-211-1-11100000000-1-100000000221111-21122-2-1-111-1-10000-1-100000000
χ2522222-122222-12-122-12-1-12-12-12-1-1-12-1-1-12222-1-1-1-12222-1-1-1-122-1-1-1-1-1-100000202000022-1-12222-1-122-1-1-1-1-1-1-1-1000000000-10-100-1-1-1-12002000000-100-1
χ2622222-122222-12-122-12-1-12-12-12-1-1-12-1-1-12222-1-1-1-12222-1-1-1-122-1-1-1-1-1-100000-20-20000-2-2-1-12222-1-1-2-2-1-1-1-1-1-1-1-1000000000101001111-200-20000001001
χ2722222-122222-12-122-12-1-12-12-12-1-1-12-1-1-12222-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-10000020200002211-2-2-2-2112211111111000000000-10-100-1-1-1-1-200-20000001001
χ2822222-122222-12-122-12-1-12-12-12-1-1-12-1-1-12222-1-1-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-100000-20-20000-2-211-2-2-2-211-2-2111111110000000001010011112002000000-100-1
χ2922222-12-2-222-12-122-12-1-12-12-12-1-1-12-111-2-2-2-2111122-2-2-1-1-1-1-2-21111110000020-20000-2-2-1-1-2-2221122-1-1-1-11111000000000-1010011-1-1200-2000000-1001
χ3022222-12-2-222-12-122-12-1-12-12-12-1-1-12-111-2-2-2-2111122-2-2-1-1-1-1-2-211111100000-202000022-1-1-2-22211-2-2-1-1-1-1111100000000010-100-1-111-2002000000100-1
χ3122222-12-2-222-12-122-12-1-12-12-12-1-1-12-111-2-2-2-21111-2-222-1-1-1-1-2-21111110000020-20000-2-21122-2-2-1-1221111-1-1-1-1000000000-1010011-1-1-2002000000100-1
χ3222222-12-2-222-12-122-12-1-12-12-12-1-1-12-111-2-2-2-21111-2-222-1-1-1-1-2-211111100000-2020000221122-2-2-1-1-2-21111-1-1-1-100000000010-100-1-111200-2000000-1001
χ332222-12222222-12-1-122-12-12-1-1-1-1-12-1222-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000202022220022-1-1-1-12200-1-1-1-1-1-1-1-1000000-1-1-10-10-1-1000002200000000-1-10
χ342222-12222222-12-1-122-12-12-1-1-1-1-12-1222-1-122-1-1-1-12222-1-1-1-1-1-122-1-1-1-10000-20-20-2-2-2-20022-1-1-1-12200-1-1-1-1-1-1-1-10000001110101100000-2-200000000110
χ352222-12222222-12-1-122-12-12-1-1-1-1-12-1222-1-122-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-100002020222200-2-21111-2-20011111111000000-1-1-10-10-1-100000-2-200000000110
χ362222-12222222-12-1-122-12-12-1-1-1-1-12-1222-1-122-1-1-1-1-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-20-20-2-2-2-200-2-21111-2-2001111111100000011101011000002200000000-1-10
χ372222-122-2-2222-12-1-122-12-12-1-1-1-1-12-12-2-211-2-2111122-2-2-1-1-1-111-2-21111000020-2022-2-2002211-1-1-2-200-1-1-1-11111000000-1-1-101011000002-200000000-110
χ382222-122-2-2222-12-1-122-12-12-1-1-1-1-12-12-2-211-2-2111122-2-2-1-1-1-111-2-211110000-2020-2-222002211-1-1-2-200-1-1-1-111110000001110-10-1-100000-22000000001-10
χ392222-122-2-2222-12-1-122-12-12-1-1-1-1-12-12-2-211-2-21111-2-222-1-1-1-111-2-21111000020-2022-2-200-2-2-1-11122001111-1-1-1-1000000-1-1-10101100000-22000000001-10
χ402222-122-2-2222-12-1-122-12-12-1-1-1-1-12-12-2-211-2-21111-2-222-1-1-1-111-2-211110000-2020-2-22200-2-2-1-11122001111-1-1-1-10000001110-10-1-1000002-200000000-110
χ4122-2-222200-2-22-2-22-2-22222-2-222-2-2-2-220000000000002i−2i2-2-220000000022-2-20000000000002i−2i002i−2i0000002i2i−2i−2i0022-2-2000000000000000000002i−2i0000
χ4222-2-222200-2-22-2-22-2-22222-2-222-2-2-2-220000000000002i−2i2-2-2200000000-2-2220000000000002i−2i002i−2i0000002i2i−2i−2i00-2-22200000000000000000000−2i2i0000
χ4322-2-222200-2-22-2-22-2-22222-2-222-2-2-2-22000000000000−2i2i2-2-220000000022-2-2000000000000−2i2i00−2i2i000000−2i−2i2i2i0022-2-200000000000000000000−2i2i0000
χ4422-2-222200-2-22-2-22-2-22222-2-222-2-2-2-22000000000000−2i2i2-2-2200000000-2-222000000000000−2i2i00−2i2i000000−2i−2i2i2i00-2-222000000000000000000002i−2i0000
χ452-22-2222002-2-22-2-2-22-22222-2-2-22-2-22-200000000002i−2i0022-2-2000000002i−2i2i−2i00000000002i−2i002i−2i00002i2i−2i−2i0000002i−2i2i−2i0000000000000000002-2000000
χ462-22-2222002-2-22-2-2-22-22222-2-2-22-2-22-200000000002i−2i0022-2-200000000−2i2i−2i2i00000000002i−2i002i−2i00002i2i−2i−2i000000−2i2i−2i2i000000000000000000-22000000
χ472-22-2222002-2-22-2-2-22-22222-2-2-22-2-22-20000000000−2i2i0022-2-2000000002i−2i2i−2i0000000000−2i2i00−2i2i0000−2i−2i2i2i0000002i−2i2i−2i000000000000000000-22000000
χ482-22-2222002-2-22-2-2-22-22222-2-2-22-2-22-20000000000−2i2i0022-2-200000000−2i2i−2i2i0000000000−2i2i00−2i2i0000−2i−2i2i2i000000−2i2i−2i2i0000000000000000002-2000000
χ492-2-222222i−2i-22-2-22-22-2-2222-22-2-2-222-2-22i−2i2i−2i2i−2i2i2i−2i−2i00002-22-22i−2i2i−2i2i2i−2i−2i2i−2i−2i2i00000000000000000000000000002-22i−2i−2i2i00000000000000002-200000000
χ502-2-222222i−2i-22-2-22-22-2-2222-22-2-2-222-2-22i−2i2i−2i2i−2i2i2i−2i−2i00002-22-22i−2i2i−2i2i2i−2i−2i−2i2i2i−2i0000000000000000000000000000-22−2i2i2i−2i0000000000000000-2200000000
χ512-2-22222−2i2i-22-2-22-22-2-2222-22-2-2-222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-22-2−2i2i−2i2i−2i−2i2i2i2i−2i−2i2i0000000000000000000000000000-222i−2i−2i2i0000000000000000-2200000000
χ522-2-22222−2i2i-22-2-22-22-2-2222-22-2-2-222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-22-2−2i2i−2i2i−2i−2i2i2i−2i2i2i−2i00000000000000000000000000002-2−2i2i2i−2i00000000000000002-200000000
χ532-2-2222-12i−2i1-1-2-22-22-212-1-11-1-21-22-1112i−2i2i−2i−ii2i2i−2i−2i0000-11-11−ii−ii−i−iii2i−2i−2i2i0000−i3i33−3−i3i3000000003−3000000002-2−iii−i0−i3i30003−3−i3i33−30000-1100000000
χ542-2-2222-12i−2i1-1-2-22-22-212-1-11-1-21-22-1112i−2i2i−2i−ii2i2i−2i−2i0000-11-11−ii−ii−i−iii2i−2i−2i2i0000i3−i3−33i3−i300000000−33000000002-2−iii−i0i3−i3000−33i3−i3−330000-1100000000
χ552-2-2222-12i−2i1-1-2-22-22-212-1-11-1-21-22-1112i−2i2i−2i−ii2i2i−2i−2i0000-11-11−ii−ii−i−iii−2i2i2i−2i0000−i3i33−3i3−i300000000−3300000000-22i−i−ii0−i3i30003−3i3−i3−3300001-100000000
χ562-2-2222-12i−2i1-1-2-22-22-212-1-11-1-21-22-1112i−2i2i−2i−ii2i2i−2i−2i0000-11-11−ii−ii−i−iii−2i2i2i−2i0000i3−i3−33−i3i3000000003−300000000-22i−i−ii0i3−i3000−33−i3i33−300001-100000000
χ572-2-2222-1−2i2i1-1-2-22-22-212-1-11-1-21-22-111−2i2i−2i2ii−i−2i−2i2i2i0000-11-11i−ii−iii−i−i2i−2i−2i2i0000−i3i3−33i3−i3000000003−300000000-22−iii−i0−i3i3000−33i3−i33−300001-100000000
χ582-2-2222-1−2i2i1-1-2-22-22-212-1-11-1-21-22-111−2i2i−2i2ii−i−2i−2i2i2i0000-11-11i−ii−iii−i−i2i−2i−2i2i0000i3−i33−3−i3i300000000−3300000000-22−iii−i0i3−i30003−3−i3i3−3300001-100000000
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χ6344444-2-2-4-4-2-2-24-244-2-2-21-21-2-2-2-2-21-2122-4-42222220000111122-1-1-1-1-1-10000040-400002200000000-2-200000000000000000-20200-1-11100000000000000
χ6444444-2-2-4-4-2-2-24-244-2-2-21-21-2-2-2-2-21-2122-4-42222220000111122-1-1-1-1-1-100000-4040000-2-200000000220000000000000000020-20011-1-100000000000000
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χ704444-2-244444-2-2-2-2-2-241-2-2-2-21-211-2-2-2-2-2-2-2441111-4-4-4-41111-2-2-2-21111000000000000002222222200-1-1-1-1-1-1-1-100000000000000000000000000000000
χ714444-2-24-4-444-2-2-2-2-2-241-2-2-2-21-211-2-2-22222-4-4-1-1-1-144-4-411112222-1-1-1-100000000000000-2-222-2-222001111-1-1-1-100000000000000000000000000000000
χ724444-2-24-4-444-2-2-2-2-2-241-2-2-2-21-211-2-2-22222-4-4-1-1-1-1-4-44411112222-1-1-1-10000000000000022-2-222-2-200-1-1-1-1111100000000000000000000000000000000
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χ7944-4-4-2-2400-4-4-222-22241-2-2221-2-1-122-20000003-33-3004i−4i1-1-1100003-33-30000000000000000−2i2i00−2i2i003i−3i3i−3iii−i−i00000000000000000000000000000000
χ8044-4-4-2-2400-4-4-222-22241-2-2221-2-1-122-20000003-33-300−4i4i1-1-1100003-33-300000000000000002i−2i002i−2i00−3i3i−3i3i−i−iii00000000000000000000000000000000
χ8144-4-4-2-2400-4-4-222-22241-2-2221-2-1-122-2000000-33-33004i−4i1-1-110000-33-330000000000000000−2i2i00−2i2i00−3i3i−3i3iii−i−i00000000000000000000000000000000
χ8244-4-4-2-2400-4-4-222-22241-2-2221-2-1-122-2000000-33-3300−4i4i1-1-110000-33-3300000000000000002i−2i002i−2i003i−3i3i−3i−i−iii00000000000000000000000000000000
χ834-44-444-200-22-44-4-4-4424-2-2-22-424-42-2200000000000000-2-222000000004i−4i4i−4i000000000000000000000000000000−2i2i−2i2i00000000000000000000000000
χ844-44-444-200-22-44-4-4-4424-2-2-22-424-42-2200000000000000-2-22200000000−4i4i−4i4i0000000000000000000000000000002i−2i2i−2i00000000000000000000000000
χ854-44-44-24004-4242-4-4-2-4-2-24-2-42-4-2224200000000004i−4i00-2-2220000000000000000000000−2i2i004i−4i0000−2i−2i2i2i000000000000000000000000000000000000
χ864-44-44-24004-4242-4-4-2-4-2-24-2-42-4-222420000000000−4i4i00-2-22200000000000000000000002i−2i00−4i4i00002i2i−2i−2i000000000000000000000000000000000000
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χ884-44-4-244004-4-4-2-4224-4-24-24222-22-4-2-40000000000−4i4i00-2-2220000000000000000000000−4i4i002i−2i00002i2i−2i−2i000000000000000000000000000000000000
χ894-44-4-2-24004-42-2222-2-41-2-2-22-121-12-220000003i−3i−3i3i4i−4i0011-1-100003i−3i−3i3i00000000000000−2i2i00−2i2i0000ii−i−i3-33-300000000000000000000000000000000
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χ914-44-4-2-24004-42-2222-2-41-2-2-22-121-12-22000000−3i3i3i−3i4i−4i0011-1-10000−3i3i3i−3i00000000000000−2i2i00−2i2i0000ii−i−i-33-3300000000000000000000000000000000
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χ934-4-444-244i−4i-442-4-2-442-4-2-24242-42-2-2-42−2i2i4i−4i4i−4i−2i−2i2i2i0000-22-224i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-24−4i4i-442-4-2-442-4-2-24242-42-2-2-422i−2i−4i4i−4i4i2i2i−2i−2i0000-22-22−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ954-4-444-2-24i−4i2-22-4-2-4422-21-2-1-2222-212-1−2i2i4i−4i−2i2i−2i−2i2i2i00001-11-1−2i2ii−iii−i−i000000000000−2i32i30000000023−230000000000000000000000i3−i3−3300000000000000
χ964-4-444-2-24i−4i2-22-4-2-4422-21-2-1-2222-212-1−2i2i4i−4i−2i2i−2i−2i2i2i00001-11-1−2i2ii−iii−i−i0000000000002i3−2i300000000−23230000000000000000000000−i3i33−300000000000000
χ974-4-444-2-2−4i4i2-22-4-2-4422-21-2-1-2222-212-12i−2i−4i4i2i−2i2i2i−2i−2i00001-11-12i−2i−ii−i−iii000000000000−2i32i300000000−23230000000000000000000000i3−i33−300000000000000
χ984-4-444-2-2−4i4i2-22-4-2-4422-21-2-1-2222-212-12i−2i−4i4i2i−2i2i2i−2i−2i00001-11-12i−2i−ii−i−iii0000000000002i3−2i30000000023−230000000000000000000000−i3i3−3300000000000000
χ994-4-44-2444i−4i-44-4242-2-4-4-24-2-4-2222-242-44i−4i−2i2i4i−4i−2i−2i2i2i0000-22-22−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-244−4i4i-44-4242-2-4-4-24-2-4-2222-242-4−4i4i2i−2i−4i4i2i2i−2i−2i0000-22-222i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-24-24i−4i2-2-4242-2-42-2-21212-12-2-2-124i−4i−2i2i−2i2i−2i−2i2i2i00001-11-1i−i−2i2iii−i−i00000000−2i32i323−23000000000000000000000000000i3−i3000−33000000000000000000
χ1024-4-44-24-24i−4i2-2-4242-2-42-2-21212-12-2-2-124i−4i−2i2i−2i2i−2i−2i2i2i00001-11-1i−i−2i2iii−i−i000000002i3−2i3−2323000000000000000000000000000−i3i30003−3000000000000000000
χ1034-4-44-24-2−4i4i2-2-4242-2-42-2-21212-12-2-2-12−4i4i2i−2i2i−2i2i2i−2i−2i00001-11-1−ii2i−2i−i−iii00000000−2i32i3−2323000000000000000000000000000i3−i30003−3000000000000000000
χ1044-4-44-24-2−4i4i2-2-4242-2-42-2-21212-12-2-2-12−4i4i2i−2i2i−2i2i2i−2i−2i00001-11-1−ii2i−2i−i−iii000000002i3−2i323−23000000000000000000000000000−i3i3000−33000000000000000000
χ1054-4-44-2-244i−4i-4422-22-22-41-2-22-2-12-11-222−2i2i−2i2i4i−4iii−i−i00001-11-1−2i2i−2i2iii−i−i0000000000000000000000003-3-33−3i3i3i−3i00000000000000000000000000000000
χ1064-4-44-2-244i−4i-4422-22-22-41-2-22-2-12-11-222−2i2i−2i2i4i−4iii−i−i00001-11-1−2i2i−2i2iii−i−i000000000000000000000000-333-33i−3i−3i3i00000000000000000000000000000000
χ1074-4-44-2-24−4i4i-4422-22-22-41-2-22-2-12-11-2222i−2i2i−2i−4i4i−i−iii00001-11-12i−2i2i−2i−i−iii0000000000000000000000003-3-333i−3i−3i3i00000000000000000000000000000000
χ1084-4-44-2-24−4i4i-4422-22-22-41-2-22-2-12-11-2222i−2i2i−2i−4i4i−i−iii00001-11-12i−2i2i−2i−i−iii000000000000000000000000-333-3−3i3i3i−3i00000000000000000000000000000000
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
χ11188-8-88-4-40044-4-848-84-4-42-4-24-4-444-242000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-48-4004484-8-44-8-4-4-424-2-42444-2-4000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4-4-40044-444-444-4222-2-222-2-2-2-220000006-66-60000-111-10000-33-330000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-40044-444-444-4222-2-222-2-2-2-22000000-66-660000-111-100003-33-30000000000000000000000000000000000000000000000000000000000000000
χ1158-88-88-4-400-44484-8-8-44-42-42444-44-2-4-20000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-48-400-44-8-4-84484-4-42-4-24-2-444240000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-400-444-4444-442222-2-2-22-2-22-20000006i−6i−6i6i0000-1-1110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-400-444-4444-442222-2-2-22-2-22-2000000−6i6i6i−6i0000-1-11100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-48i−8i4-444-44-444222-22-2-2-222-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000-11-112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-4−8i8i4-444-44-444222-22-2-2-222-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000-11-11−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000

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