Finite Group Databasebeta

← Group #13150672

Character table — Group #13150672

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111122222222226666666699991212121212121212121212121818181818181818181818181818181818183636363636363636111122222222226666666699991212121212121212121212121818181818181818181818181818181818183636363636363636
order122234466612121212336666664444366612121212121212122244444444121212121212121266121212121212222264466612121212666666664444666612121212121212122244444444121212121212121266121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ611111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111
χ711111-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-111111-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1
χ91-11-11i−i-11-1ii−i−i11-11-11-1-111-1-111-1-1i−ii−iii−i−i1-1i−ii−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i1-11-11i−i-11-1ii−i−i11-11-11-1-111-1-111-1-1i−ii−iii−i−i1-1i−ii−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i
χ101-11-11i−i-11-1ii−i−i11-11-11-1-111-1-111-1-1i−ii−iii−i−i-11−iii−i−ii-1111-1-1ii−i−i-11−ii-11−ii1-11-11i−i-11-1ii−i−i11-11-11-1-111-1-111-1-1i−ii−iii−i−i-11−iii−i−ii-1111-1-1ii−i−i-11−ii-11−ii
χ111-11-11i−i-11-1ii−i−i11-11-11-1-1-1-11111-1-1i−ii−iii−i−i1-1−ii−iii−i-11-1-111−i−iii1-1i−i-11−ii1-11-11i−i-11-1ii−i−i11-11-11-1-1-1-11111-1-1i−ii−iii−i−i1-1−ii−iii−i-11-1-111−i−iii1-1i−i-11−ii
χ121-11-11i−i-11-1ii−i−i11-11-11-1-1-1-11111-1-1i−ii−iii−i−i-11i−i−ii−ii1-1-1-111−i−iii-11−ii1-1i−i1-11-11i−i-11-1ii−i−i11-11-11-1-1-1-11111-1-1i−ii−iii−i−i-11i−i−ii−ii1-1-1-111−i−iii-11−ii1-1i−i
χ131-11-11−ii-11-1−i−iii11-11-11-1-111-1-111-1-1−ii−ii−i−iii1-1−ii−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii1-11-11−ii-11-1−i−iii11-11-11-1-111-1-111-1-1−ii−ii−i−iii1-1−ii−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii
χ141-11-11−ii-11-1−i−iii11-11-11-1-111-1-111-1-1−ii−ii−i−iii-11i−i−iii−i-1111-1-1−i−iii-11i−i-11i−i1-11-11−ii-11-1−i−iii11-11-11-1-111-1-111-1-1−ii−ii−i−iii-11i−i−iii−i-1111-1-1−i−iii-11i−i-11i−i
χ151-11-11−ii-11-1−i−iii11-11-11-1-1-1-11111-1-1−ii−ii−i−iii1-1i−ii−i−ii-11-1-111ii−i−i1-1−ii-11i−i1-11-11−ii-11-1−i−iii11-11-11-1-1-1-11111-1-1−ii−ii−i−iii1-1i−ii−i−ii-11-1-111ii−i−i1-1−ii-11i−i
χ161-11-11−ii-11-1−i−iii11-11-11-1-1-1-11111-1-1−ii−ii−i−iii-11−iii−ii−i1-1-1-111ii−i−i-11i−i1-1−ii1-11-11−ii-11-1−i−iii11-11-11-1-1-1-11111-1-1−ii−ii−i−iii-11−iii−ii−i1-1-1-111ii−i−i-11i−i1-1−ii
χ17222222222222222-12-1-12-120000-1-1-1-1-1-122-1-1-1-1220000220000000000-1-1-1-10000222222222222222-12-1-12-120000-1-1-1-1-1-122-1-1-1-1220000220000000000-1-1-1-10000
χ18222222222222222-12-1-12-120000-1-1-1-1-1-122-1-1-1-1-2-20000-2-2000000000011110000222222222222222-12-1-12-120000-1-1-1-1-1-122-1-1-1-1-2-20000-2-2000000000011110000
χ1922222222222222-12-122-12-10000-1-1-1-122-1-1-1-1-1-10022000022000000000000-1-1-1-122222222222222-12-122-12-10000-1-1-1-122-1-1-1-1-1-10022000022000000000000-1-1-1-1
χ2022222222222222-12-122-12-10000-1-1-1-122-1-1-1-1-1-100-2-20000-2-2000000000000111122222222222222-12-122-12-10000-1-1-1-122-1-1-1-1-1-100-2-20000-2-20000000000001111
χ2122222-2-2222-2-2-2-22-12-1-12-120000-1-1-1-111-2-21111220000-2-20000000000-1-111000022222-2-2222-2-2-2-22-12-1-12-120000-1-1-1-111-2-21111220000-2-20000000000-1-1110000
χ2222222-2-2222-2-2-2-22-12-1-12-120000-1-1-1-111-2-21111-2-2000022000000000011-1-1000022222-2-2222-2-2-2-22-12-1-12-120000-1-1-1-111-2-21111-2-2000022000000000011-1-10000
χ2322222-2-2222-2-2-2-2-12-122-12-10000-1-1-1-1-2-211111100220000-2-200000000000011-1-122222-2-2222-2-2-2-2-12-122-12-10000-1-1-1-1-2-211111100220000-2-200000000000011-1-1
χ2422222-2-2222-2-2-2-2-12-122-12-10000-1-1-1-1-2-211111100-2-2000022000000000000-1-11122222-2-2222-2-2-2-2-12-122-12-10000-1-1-1-1-2-211111100-2-2000022000000000000-1-111
χ2522-2-22002-2-2000022-2-22-2-222i−2i2i−2i2-2-220000000000000000002i−2i2i−2i00000000000022-2-22002-2-2000022-2-22-2-222i−2i2i−2i2-2-220000000000000000002i−2i2i−2i000000000000
χ2622-2-22002-2-2000022-2-22-2-22−2i2i−2i2i2-2-22000000000000000000−2i2i−2i2i00000000000022-2-22002-2-2000022-2-22-2-22−2i2i−2i2i2-2-22000000000000000000−2i2i−2i2i000000000000
χ272-22-222i−2i-22-22i2i−2i−2i2-1-2-1121-20000-1-111−ii2i−2i−i−iii2-200002i−2i0000000000-11−ii00002-22-222i−2i-22-22i2i−2i−2i2-1-2-1121-20000-1-111−ii2i−2i−i−iii2-200002i−2i0000000000-11−ii0000
χ282-22-222i−2i-22-22i2i−2i−2i2-1-2-1121-20000-1-111−ii2i−2i−i−iii-220000−2i2i00000000001-1i−i00002-22-222i−2i-22-22i2i−2i−2i2-1-2-1121-20000-1-111−ii2i−2i−i−iii-220000−2i2i00000000001-1i−i0000
χ292-22-222i−2i-22-22i2i−2i−2i-1212-2-1-210000-1-1112i−2i−ii−i−iii002i−2i00002-2000000000000-11−ii2-22-222i−2i-22-22i2i−2i−2i-1212-2-1-210000-1-1112i−2i−ii−i−iii002i−2i00002-2000000000000-11−ii
χ302-22-222i−2i-22-22i2i−2i−2i-1212-2-1-210000-1-1112i−2i−ii−i−iii00−2i2i0000-220000000000001-1i−i2-22-222i−2i-22-22i2i−2i−2i-1212-2-1-210000-1-1112i−2i−ii−i−iii00−2i2i0000-220000000000001-1i−i
χ312-22-22−2i2i-22-2−2i−2i2i2i2-1-2-1121-20000-1-111i−i−2i2iii−i−i2-20000−2i2i0000000000-11i−i00002-22-22−2i2i-22-2−2i−2i2i2i2-1-2-1121-20000-1-111i−i−2i2iii−i−i2-20000−2i2i0000000000-11i−i0000
χ322-22-22−2i2i-22-2−2i−2i2i2i2-1-2-1121-20000-1-111i−i−2i2iii−i−i-2200002i−2i00000000001-1−ii00002-22-22−2i2i-22-2−2i−2i2i2i2-1-2-1121-20000-1-111i−i−2i2iii−i−i-2200002i−2i00000000001-1−ii0000
χ332-22-22−2i2i-22-2−2i−2i2i2i-1212-2-1-210000-1-111−2i2ii−iii−i−i002i−2i0000-220000000000001-1−ii2-22-22−2i2i-22-2−2i−2i2i2i-1212-2-1-210000-1-111−2i2ii−iii−i−i002i−2i0000-220000000000001-1−ii
χ342-22-22−2i2i-22-2−2i−2i2i2i-1212-2-1-210000-1-111−2i2ii−iii−i−i00−2i2i00002-2000000000000-11i−i2-22-22−2i2i-22-2−2i−2i2i2i-1212-2-1-210000-1-111−2i2ii−iii−i−i00−2i2i00002-2000000000000-11i−i
χ352-2-22200-2-220000222-2-2-22-22i−2i−2i2i2-22-20000000000000000002i−2i−2i2i0000000000002-2-22200-2-220000222-2-2-22-22i−2i−2i2i2-22-20000000000000000002i−2i−2i2i000000000000
χ362-2-22200-2-220000222-2-2-22-2−2i2i2i−2i2-22-2000000000000000000−2i2i2i−2i0000000000002-2-22200-2-220000222-2-2-22-2−2i2i2i−2i2-22-2000000000000000000−2i2i2i−2i000000000000
χ3744444444444444-2-2-2-2-2-2-2-200001111-2-2-2-211110000000000000000000000000044444444444444-2-2-2-2-2-2-2-200001111-2-2-2-2111100000000000000000000000000
χ3844444-4-4444-4-4-4-4-2-2-2-2-2-2-2-2000011112222-1-1-1-10000000000000000000000000044444-4-4444-4-4-4-4-2-2-2-2-2-2-2-2000011112222-1-1-1-100000000000000000000000000
χ3944-4-44004-4-400004-2-42-2-4240000-222-2000000000000000000000000000000000044-4-44004-4-400004-2-42-2-4240000-222-20000000000000000000000000000000000
χ4044-4-44004-4-40000-242-442-4-20000-222-2000000000000000000000000000000000044-4-44004-4-40000-242-442-4-20000-222-20000000000000000000000000000000000
χ4144-4-44004-4-40000-2-222-222-200001-1-1100003-33-30000000000000000000000000044-4-44004-4-40000-2-222-222-200001-1-1100003-33-300000000000000000000000000
χ4244-4-44004-4-40000-2-222-222-200001-1-110000-33-330000000000000000000000000044-4-44004-4-40000-2-222-222-200001-1-110000-33-3300000000000000000000000000
χ434-44-444i−4i-44-44i4i−4i−4i-2-22-22-222000011-1-1−2i2i−2i2iii−i−i000000000000000000000000004-44-444i−4i-44-44i4i−4i−4i-2-22-22-222000011-1-1−2i2i−2i2iii−i−i00000000000000000000000000
χ444-44-44−4i4i-44-4−4i−4i4i4i-2-22-22-222000011-1-12i−2i2i−2i−i−iii000000000000000000000000004-44-44−4i4i-44-4−4i−4i4i4i-2-22-22-222000011-1-12i−2i2i−2i−i−iii00000000000000000000000000
χ454-4-44400-4-4400004-2422-4-2-40000-22-2200000000000000000000000000000000004-4-44400-4-4400004-2422-4-2-40000-22-220000000000000000000000000000000000
χ464-4-44400-4-440000-24-2-4-42420000-22-2200000000000000000000000000000000004-4-44400-4-440000-24-2-4-42420000-22-220000000000000000000000000000000000
χ474-4-44400-4-440000-2-2-2222-2200001-11-100003i−3i−3i3i000000000000000000000000004-4-44400-4-440000-2-2-2222-2200001-11-100003i−3i−3i3i00000000000000000000000000
χ484-4-44400-4-440000-2-2-2222-2200001-11-10000−3i3i3i−3i000000000000000000000000004-4-44400-4-440000-2-2-2222-2200001-11-10000−3i3i3i−3i00000000000000000000000000
χ496666-366-3-3-3-3-3-3-30000000022220000000000000000220000-1-1-1-1-1-1-1-1000000006666-366-3-3-3-3-3-3-30000000022220000000000000000220000-1-1-1-1-1-1-1-100000000
χ506666-366-3-3-3-3-3-3-300000000-2-2-2-20000000000000000-2-2000011111111000000006666-366-3-3-3-3-3-3-300000000-2-2-2-20000000000000000-2-200001111111100000000
χ516666-3-6-6-3-3-333330000000022220000000000000000-2-20000-1-1-1-11111000000006666-3-6-6-3-3-333330000000022220000000000000000-2-20000-1-1-1-1111100000000
χ526666-3-6-6-3-3-3333300000000-2-2-2-200000000000000002200001111-1-1-1-1000000006666-3-6-6-3-3-3333300000000-2-2-2-200000000000000002200001111-1-1-1-100000000
χ5366-6-6-300-333−3i33i3−3i33i3000000002i−2i2i−2i0000000000000000000000−ii−ii3−33−30000000066-6-6-300-333−3i33i3−3i33i3000000002i−2i2i−2i0000000000000000000000−ii−ii3−33−300000000
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χ5666-6-6-300-3333i3−3i33i3−3i300000000−2i2i−2i2i0000000000000000000000i−ii−i3−33−30000000066-6-6-300-3333i3−3i33i3−3i300000000−2i2i−2i2i0000000000000000000000i−ii−i3−33−300000000
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χ651111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6611111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111
χ671111111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111
χ681111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-1-1-1
χ6911111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-111-1-111
χ7011111-1-1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1111111-1-111-1-1
χ7111111-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ7211111-1-1111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ731-11-11i−i-11-1ii−i−i11-11-11-1-111-1-111-1-1i−ii−iii−i−i1-1i−ii−ii−i1-111-1-1ii−i−i1-1i−i1-1i−i-11-11-1−ii1-11−i−iii-1-11-11-111-1-111-1-111−ii−ii−i−iii-11−ii−ii−ii-11-1-111−i−iii-11−ii-11−ii
χ741-11-11i−i-11-1ii−i−i11-11-11-1-111-1-111-1-1i−ii−iii−i−i-11−iii−i−ii-1111-1-1ii−i−i-11−ii-11−ii-11-11-1−ii1-11−i−iii-1-11-11-111-1-111-1-111−ii−ii−i−iii1-1i−i−iii−i1-1-1-111−i−iii1-1i−i1-1i−i
χ751-11-11i−i-11-1ii−i−i11-11-11-1-1-1-11111-1-1i−ii−iii−i−i1-1−ii−iii−i-11-1-111−i−iii1-1i−i-11−ii-11-11-1−ii1-11−i−iii-1-11-11-11111-1-1-1-111−ii−ii−i−iii-11i−ii−i−ii1-111-1-1ii−i−i-11−ii1-1i−i
χ761-11-11i−i-11-1ii−i−i11-11-11-1-1-1-11111-1-1i−ii−iii−i−i-11i−i−ii−ii1-1-1-111−i−iii-11−ii1-1i−i-11-11-1−ii1-11−i−iii-1-11-11-11111-1-1-1-111−ii−ii−i−iii1-1−iii−ii−i-1111-1-1ii−i−i1-1i−i-11−ii
χ771-11-11−ii-11-1−i−iii11-11-11-1-111-1-111-1-1−ii−ii−i−iii1-1−ii−ii−ii1-111-1-1−i−iii1-1−ii1-1−ii-11-11-1i−i1-11ii−i−i-1-11-11-111-1-111-1-111i−ii−iii−i−i-11i−ii−ii−i-11-1-111ii−i−i-11i−i-11i−i
χ781-11-11−ii-11-1−i−iii11-11-11-1-111-1-111-1-1−ii−ii−i−iii-11i−i−iii−i-1111-1-1−i−iii-11i−i-11i−i-11-11-1i−i1-11ii−i−i-1-11-11-111-1-111-1-111i−ii−iii−i−i1-1−iii−i−ii1-1-1-111ii−i−i1-1−ii1-1−ii
χ791-11-11−ii-11-1−i−iii11-11-11-1-1-1-11111-1-1−ii−ii−i−iii1-1i−ii−i−ii-11-1-111ii−i−i1-1−ii-11i−i-11-11-1i−i1-11ii−i−i-1-11-11-11111-1-1-1-111i−ii−iii−i−i-11−ii−iii−i1-111-1-1−i−iii-11i−i1-1−ii
χ801-11-11−ii-11-1−i−iii11-11-11-1-1-1-11111-1-1−ii−ii−i−iii-11−iii−ii−i1-1-1-111ii−i−i-11i−i1-1−ii-11-11-1i−i1-11ii−i−i-1-11-11-11111-1-1-1-111i−ii−iii−i−i1-1i−i−ii−ii-1111-1-1−i−iii1-1−ii-11i−i
χ81222222222222222-12-1-12-120000-1-1-1-1-1-122-1-1-1-1220000220000000000-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-211-21-20000111111-2-21111-2-20000-2-2000000000011110000
χ82222222222222222-12-1-12-120000-1-1-1-1-1-122-1-1-1-1-2-20000-2-2000000000011110000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-211-21-20000111111-2-21111220000220000000000-1-1-1-10000
χ8322222222222222-12-122-12-10000-1-1-1-122-1-1-1-1-1-10022000022000000000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-21-21-2-21-2100001111-2-211111100-2-20000-2-20000000000001111
χ8422222222222222-12-122-12-10000-1-1-1-122-1-1-1-1-1-100-2-20000-2-20000000000001111-2-2-2-2-2-2-2-2-2-2-2-2-2-21-21-2-21-2100001111-2-21111110022000022000000000000-1-1-1-1
χ8522222-2-2222-2-2-2-22-12-1-12-120000-1-1-1-111-2-21111220000-2-20000000000-1-1110000-2-2-2-2-222-2-2-22222-21-211-21-200001111-1-122-1-1-1-1-2-2000022000000000011-1-10000
χ8622222-2-2222-2-2-2-22-12-1-12-120000-1-1-1-111-2-21111-2-2000022000000000011-1-10000-2-2-2-2-222-2-2-22222-21-211-21-200001111-1-122-1-1-1-1220000-2-20000000000-1-1110000
χ8722222-2-2222-2-2-2-2-12-122-12-10000-1-1-1-1-2-211111100220000-2-200000000000011-1-1-2-2-2-2-222-2-2-222221-21-2-21-210000111122-1-1-1-1-1-100-2-2000022000000000000-1-111
χ8822222-2-2222-2-2-2-2-12-122-12-10000-1-1-1-1-2-211111100-2-2000022000000000000-1-111-2-2-2-2-222-2-2-222221-21-2-21-210000111122-1-1-1-1-1-100220000-2-200000000000011-1-1
χ8922-2-22002-2-2000022-2-22-2-222i−2i2i−2i2-2-220000000000000000002i−2i2i−2i000000000000-2-222-200-2220000-2-222-222-2−2i2i−2i2i-222-2000000000000000000−2i2i−2i2i000000000000
χ9022-2-22002-2-2000022-2-22-2-22−2i2i−2i2i2-2-22000000000000000000−2i2i−2i2i000000000000-2-222-200-2220000-2-222-222-22i−2i2i−2i-222-20000000000000000002i−2i2i−2i000000000000
χ912-22-222i−2i-22-22i2i−2i−2i2-1-2-1121-20000-1-111−ii2i−2i−i−iii2-200002i−2i0000000000-11−ii0000-22-22-2−2i2i2-22−2i−2i2i2i-2121-1-2-12000011-1-1i−i−2i2iii−i−i-220000−2i2i00000000001-1i−i0000
χ922-22-222i−2i-22-22i2i−2i−2i2-1-2-1121-20000-1-111−ii2i−2i−i−iii-220000−2i2i00000000001-1i−i0000-22-22-2−2i2i2-22−2i−2i2i2i-2121-1-2-12000011-1-1i−i−2i2iii−i−i2-200002i−2i0000000000-11−ii0000
χ932-22-222i−2i-22-22i2i−2i−2i-1212-2-1-210000-1-1112i−2i−ii−i−iii002i−2i00002-2000000000000-11−ii-22-22-2−2i2i2-22−2i−2i2i2i1-2-1-2212-1000011-1-1−2i2ii−iii−i−i00−2i2i0000-220000000000001-1i−i
χ942-22-222i−2i-22-22i2i−2i−2i-1212-2-1-210000-1-1112i−2i−ii−i−iii00−2i2i0000-220000000000001-1i−i-22-22-2−2i2i2-22−2i−2i2i2i1-2-1-2212-1000011-1-1−2i2ii−iii−i−i002i−2i00002-2000000000000-11−ii
χ952-22-22−2i2i-22-2−2i−2i2i2i2-1-2-1121-20000-1-111i−i−2i2iii−i−i2-20000−2i2i0000000000-11i−i0000-22-22-22i−2i2-222i2i−2i−2i-2121-1-2-12000011-1-1−ii2i−2i−i−iii-2200002i−2i00000000001-1−ii0000
χ962-22-22−2i2i-22-2−2i−2i2i2i2-1-2-1121-20000-1-111i−i−2i2iii−i−i-2200002i−2i00000000001-1−ii0000-22-22-22i−2i2-222i2i−2i−2i-2121-1-2-12000011-1-1−ii2i−2i−i−iii2-20000−2i2i0000000000-11i−i0000
χ972-22-22−2i2i-22-2−2i−2i2i2i-1212-2-1-210000-1-111−2i2ii−iii−i−i002i−2i0000-220000000000001-1−ii-22-22-22i−2i2-222i2i−2i−2i1-2-1-2212-1000011-1-12i−2i−ii−i−iii00−2i2i00002-2000000000000-11i−i
χ982-22-22−2i2i-22-2−2i−2i2i2i-1212-2-1-210000-1-111−2i2ii−iii−i−i00−2i2i00002-2000000000000-11i−i-22-22-22i−2i2-222i2i−2i−2i1-2-1-2212-1000011-1-12i−2i−ii−i−iii002i−2i0000-220000000000001-1−ii
χ992-2-22200-2-220000222-2-2-22-22i−2i−2i2i2-22-20000000000000000002i−2i−2i2i000000000000-222-2-20022-20000-2-2-2222-22−2i2i2i−2i-22-22000000000000000000−2i2i2i−2i000000000000
χ1002-2-22200-2-220000222-2-2-22-2−2i2i2i−2i2-22-2000000000000000000−2i2i2i−2i000000000000-222-2-20022-20000-2-2-2222-222i−2i−2i2i-22-220000000000000000002i−2i−2i2i000000000000
χ10144444444444444-2-2-2-2-2-2-2-200001111-2-2-2-2111100000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4-4-4222222220000-1-1-1-12222-1-1-1-100000000000000000000000000
χ10244444-4-4444-4-4-4-4-2-2-2-2-2-2-2-2000011112222-1-1-1-100000000000000000000000000-4-4-4-4-444-4-4-44444222222220000-1-1-1-1-2-2-2-2111100000000000000000000000000
χ10344-4-44004-4-400004-2-42-2-4240000-222-20000000000000000000000000000000000-4-444-400-4440000-424-224-2-400002-2-220000000000000000000000000000000000
χ10444-4-44004-4-40000-242-442-4-20000-222-20000000000000000000000000000000000-4-444-400-44400002-4-24-4-24200002-2-220000000000000000000000000000000000
χ10544-4-44004-4-40000-2-222-222-200001-1-1100003-33-300000000000000000000000000-4-444-400-444000022-2-22-2-220000-111-10000-33-3300000000000000000000000000
χ10644-4-44004-4-40000-2-222-222-200001-1-110000-33-3300000000000000000000000000-4-444-400-444000022-2-22-2-220000-111-100003-33-300000000000000000000000000
χ1074-44-444i−4i-44-44i4i−4i−4i-2-22-22-222000011-1-1−2i2i−2i2iii−i−i00000000000000000000000000-44-44-4−4i4i4-44−4i−4i4i4i22-22-22-2-20000-1-1112i−2i2i−2i−i−iii00000000000000000000000000
χ1084-44-44−4i4i-44-4−4i−4i4i4i-2-22-22-222000011-1-12i−2i2i−2i−i−iii00000000000000000000000000-44-44-44i−4i4-444i4i−4i−4i22-22-22-2-20000-1-111−2i2i−2i2iii−i−i00000000000000000000000000
χ1094-4-44400-4-4400004-2422-4-2-40000-22-220000000000000000000000000000000000-444-4-40044-40000-42-4-2-242400002-22-20000000000000000000000000000000000
χ1104-4-44400-4-440000-24-2-4-42420000-22-220000000000000000000000000000000000-444-4-40044-400002-4244-2-4-200002-22-20000000000000000000000000000000000
χ1114-4-44400-4-440000-2-2-2222-2200001-11-100003i−3i−3i3i00000000000000000000000000-444-4-40044-40000222-2-2-22-20000-11-110000−3i3i3i−3i00000000000000000000000000
χ1124-4-44400-4-440000-2-2-2222-2200001-11-10000−3i3i3i−3i00000000000000000000000000-444-4-40044-40000222-2-2-22-20000-11-1100003i−3i−3i3i00000000000000000000000000
χ1136666-366-3-3-3-3-3-3-30000000022220000000000000000220000-1-1-1-1-1-1-1-100000000-6-6-6-63-6-6333333300000000-2-2-2-20000000000000000-2-200001111111100000000
χ1146666-366-3-3-3-3-3-3-300000000-2-2-2-20000000000000000-2-200001111111100000000-6-6-6-63-6-633333330000000022220000000000000000220000-1-1-1-1-1-1-1-100000000
χ1156666-3-6-6-3-3-333330000000022220000000000000000-2-20000-1-1-1-1111100000000-6-6-6-6366333-3-3-3-300000000-2-2-2-200000000000000002200001111-1-1-1-100000000
χ1166666-3-6-6-3-3-3333300000000-2-2-2-200000000000000002200001111-1-1-1-100000000-6-6-6-6366333-3-3-3-30000000022220000000000000000-2-20000-1-1-1-1111100000000
χ11766-6-6-300-333−3i33i3−3i33i3000000002i−2i2i−2i0000000000000000000000−ii−ii3−33−300000000-6-6663003-3-33i3−3i33i3−3i300000000−2i2i−2i2i0000000000000000000000i−ii−i−33−3300000000
χ11866-6-6-300-333−3i33i3−3i33i300000000−2i2i−2i2i0000000000000000000000i−ii−i−33−3300000000-6-6663003-3-33i3−3i33i3−3i3000000002i−2i2i−2i0000000000000000000000−ii−ii3−33−300000000
χ11966-6-6-300-3333i3−3i33i3−3i3000000002i−2i2i−2i0000000000000000000000−ii−ii−33−3300000000-6-6663003-3-3−3i33i3−3i33i300000000−2i2i−2i2i0000000000000000000000i−ii−i3−33−300000000
χ12066-6-6-300-3333i3−3i33i3−3i300000000−2i2i−2i2i0000000000000000000000i−ii−i3−33−300000000-6-6663003-3-3−3i33i3−3i33i3000000002i−2i2i−2i0000000000000000000000−ii−ii−33−3300000000
χ1216-66-6-36i−6i3-33−3i−3i3i3i0000000022-2-200000000000000002i−2i0000-1-111−i−iii00000000-66-663−6i6i-33-33i3i−3i−3i00000000-2-2220000000000000000−2i2i000011-1-1ii−i−i00000000
χ1226-66-6-36i−6i3-33−3i−3i3i3i00000000-2-2220000000000000000−2i2i000011-1-1ii−i−i00000000-66-663−6i6i-33-33i3i−3i−3i0000000022-2-200000000000000002i−2i0000-1-111−i−iii00000000
χ1236-66-6-3−6i6i3-333i3i−3i−3i0000000022-2-20000000000000000−2i2i0000-1-111ii−i−i00000000-66-6636i−6i-33-3−3i−3i3i3i00000000-2-22200000000000000002i−2i000011-1-1−i−iii00000000
χ1246-66-6-3−6i6i3-333i3i−3i−3i00000000-2-22200000000000000002i−2i000011-1-1−i−iii00000000-66-6636i−6i-33-3−3i−3i3i3i0000000022-2-20000000000000000−2i2i0000-1-111ii−i−i00000000
χ1256-6-66-30033-333−33−3333000000002i−2i−2i2i0000000000000000000000−iii−ii3−i3−i3i300000000-666-6300-3-33−333333−3300000000−2i2i2i−2i0000000000000000000000i−i−ii−i3i3i3−i300000000
χ1266-6-66-30033-333−33−333300000000−2i2i2i−2i0000000000000000000000i−i−ii−i3i3i3−i300000000-666-6300-3-33−333333−33000000002i−2i−2i2i0000000000000000000000−iii−ii3−i3−i3i300000000
χ1276-6-66-30033-3−333333−33000000002i−2i−2i2i0000000000000000000000−iii−i−i3i3i3−i300000000-666-6300-3-3333−33−333300000000−2i2i2i−2i0000000000000000000000i−i−iii3−i3−i3i300000000
χ1286-6-66-30033-3−333333−3300000000−2i2i2i−2i0000000000000000000000i−i−iii3−i3−i3i300000000-666-6300-3-3333−33−3333000000002i−2i−2i2i0000000000000000000000−iii−i−i3i3i3−i300000000

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