Finite Group Databasebeta

← Group #13167456

Character table — Group #13167456

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122224444444488888888181818181818181818181818181818181818363636363636363636363636111122224444444488888888181818181818181818181818181818181818363636363636363636363636
order12443612123366121212123366121212122466888812122424242424242424888824242424242424242244661212666612121212666612121212246688881212242424242424242488882424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1111111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1111111-1-1-1-1i−ii−iii−i−iii−i−i
χ611-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1111111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1111111-1-1-1-1−ii−ii−i−iii−i−iii
χ711-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii11-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii
χ811-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i11-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i
χ9222222222222222222222222-2-2-2-20000-2-200000000000000000000222222222222222222222222-2-2-2-20000-2-200000000000000000000
χ102222-1-1-1-122222222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-122222222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1000000000000
χ112222-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-2-2-2-2-1-1111111110000000000002222-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-2-2-2-2-1-111111111000000000000
χ122222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-21100001133−3−333−3−30000000000002222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-21100001133−3−333−3−3000000000000
χ132222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-211000011−3−333−3−3330000000000002222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-211000011−3−333−3−333000000000000
χ1422-2-222-2-22222-2-2-2-22222-2-2-2-22-2220000-2-20000000000000000000022-2-222-2-22222-2-2-2-22222-2-2-2-22-2220000-2-200000000000000000000
χ1522-2-2-1-1112222-2-2-2-2-1-1-1-111112-2-1-100001133−3−3−3−33300000000000022-2-2-1-1112222-2-2-2-2-1-1-1-111112-2-1-100001133−3−3−3−333000000000000
χ1622-2-2-1-1112222-2-2-2-2-1-1-1-111112-2-1-1000011−3−33333−3−300000000000022-2-2-1-1112222-2-2-2-2-1-1-1-111112-2-1-1000011−3−33333−3−3000000000000
χ1722-2-2-1-1112222-2-2-2-2-1-1-1-11111-221122-2-2-1-1-1-1-1-1111100000000000022-2-2-1-1112222-2-2-2-2-1-1-1-11111-221122-2-2-1-1-1-1-1-11111000000000000
χ1822-2-2-1-1112222-2-2-2-2-1-1-1-11111-2211-2-222-1-11111-1-1-1-100000000000022-2-2-1-1112222-2-2-2-2-1-1-1-11111-2211-2-222-1-11111-1-1-1-1000000000000
χ192-22i−2i2-22i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i00002−2−i2i2002−22−2−i2i2−i2i20000000000002-22i−2i2-22i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i00002−2−i2i2002−22−2−i2i2−i2i2000000000000
χ202-22i−2i2-22i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i0000−22i2−i200−22−22i2−i2i2−i20000000000002-22i−2i2-22i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i0000−22i2−i200−22−22i2−i2i2−i2000000000000
χ212-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00−i3i32−2−i2i23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000002-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00−i3i32−2−i2i23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ222-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00−i3i3−22i2−i23−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000002-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00−i3i3−22i2−i23−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ232-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00i3−i32−2−i2i2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000002-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00i3−i32−2−i2i2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ242-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00i3−i3−22i2−i2−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000002-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00i3−i3−22i2−i2−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ252-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00002−2i2−i2002−22−2i2−i2i2−i20000000000002-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00002−2i2−i2002−22−2i2−i2i2−i2000000000000
χ262-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000−22−i2i200−22−22−i2i2−i2i20000000000002-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000−22−i2i200−22−22−i2i2−i2i2000000000000
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χ282-2−2i2i-11i−i22-2-2−2i−2i2i2i-1-111ii−i−i00−i3i3−22−i2i2−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000002-2−2i2i-11i−i22-2-2−2i−2i2i2i-1-111ii−i−i00−i3i3−22−i2i2−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
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χ302-2−2i2i-11i−i22-2-2−2i−2i2i2i-1-111ii−i−i00i3−i3−22−i2i23−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000002-2−2i2i-11i−i22-2-2−2i−2i2i2i-1-111ii−i−i00i3−i3−22−i2i23−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ31444444441-21-21-21-21-21-21-21-200000000000000000000220000-1-1-1-1444444441-21-21-21-21-21-21-21-200000000000000000000220000-1-1-1-1
χ32444444441-21-21-21-21-21-21-21-200000000000000000000-2-200001111444444441-21-21-21-21-21-21-21-200000000000000000000-2-200001111
χ3344444444-21-21-21-21-21-21-21-210000000000000000002200-1-1-1-1000044444444-21-21-21-21-21-21-21-210000000000000000002200-1-1-1-10000
χ3444444444-21-21-21-21-21-21-21-21000000000000000000-2-2001111000044444444-21-21-21-21-21-21-21-21000000000000000000-2-20011110000
χ3544-4-444-4-41-21-2-12-121-21-2-12-12000000000000000000002i−2i0000−i−iii44-4-444-4-41-21-2-12-121-21-2-12-12000000000000000000002i−2i0000−i−iii
χ3644-4-444-4-41-21-2-12-121-21-2-12-1200000000000000000000−2i2i0000ii−i−i44-4-444-4-41-21-2-12-121-21-2-12-1200000000000000000000−2i2i0000ii−i−i
χ3744-4-444-4-4-21-212-12-1-21-212-12-10000000000000000002i−2i00−i−iii000044-4-444-4-4-21-212-12-1-21-212-12-10000000000000000002i−2i00−i−iii0000
χ3844-4-444-4-4-21-212-12-1-21-212-12-1000000000000000000−2i2i00ii−i−i000044-4-444-4-4-21-212-12-1-21-212-12-1000000000000000000−2i2i00ii−i−i0000
χ394-44i−4i4-44i−4i1-2-12i−2i−i2i1-2-12i−2i−i2i00000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ134-44i−4i4-44i−4i1-2-12i−2i−i2i1-2-12i−2i−i2i00000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ404-44i−4i4-44i−4i1-2-12i−2i−i2i1-2-12i−2i−i2i00000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ134-44i−4i4-44i−4i1-2-12i−2i−i2i1-2-12i−2i−i2i00000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ414-44i−4i4-44i−4i-212-1−2ii2i−i-212-1−2ii2i−i0000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300004-44i−4i4-44i−4i-212-1−2ii2i−i-212-1−2ii2i−i0000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ424-44i−4i4-44i−4i-212-1−2ii2i−i-212-1−2ii2i−i0000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300004-44i−4i4-44i−4i-212-1−2ii2i−i-212-1−2ii2i−i0000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ434-4−4i4i4-4−4i4i1-2-12−i2ii−2i1-2-12−i2ii−2i00000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ234-4−4i4i4-4−4i4i1-2-12−i2ii−2i1-2-12−i2ii−2i00000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ444-4−4i4i4-4−4i4i1-2-12−i2ii−2i1-2-12−i2ii−2i00000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ234-4−4i4i4-4−4i4i1-2-12−i2ii−2i1-2-12−i2ii−2i00000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ454-4−4i4i4-4−4i4i-212-12i−i−2ii-212-12i−i−2ii0000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300004-4−4i4i4-4−4i4i-212-12i−i−2ii-212-12i−i−2ii0000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
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χ478888-4-4-4-42-42-42-42-4-12-12-12-120000000000000000000000000000008888-4-4-4-42-42-42-42-4-12-12-12-12000000000000000000000000000000
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χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ56111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ571111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-1-1-11111
χ581111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111111-1-11111-1-1-1-1
χ5911-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1111111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-1-1-11111−ii−ii−i−iii−i−iii
χ6011-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-1111111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-1-1-1-1-11111i−ii−iii−i−iii−i−i
χ6111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-11111i−i−iiii−i−i−i−iii-1-111-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-1-11111-1-1-1-1−iii−i−i−iiiii−i−i
χ6211-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-11111−iii−i−i−iiiii−i−i-1-111-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-1-11111-1-1-1-1i−i−iiii−i−i−i−iii
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χ642222-1-1-1-122222222-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-211-2-2-2-21111111111000000000000
χ652222-1-1-1-122222222-1-1-1-1-1-1-1-122-1-1-2-2-2-2-1-111111111000000000000-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-211222211-1-1-1-1-1-1-1-1000000000000
χ662222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-21100001133−3−333−3−3000000000000-2-2-2-21111-2-2-2-2-2-2-2-21111111122-1-10000-1-1−3−333−3−333000000000000
χ672222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-211000011−3−333−3−333000000000000-2-2-2-21111-2-2-2-2-2-2-2-21111111122-1-10000-1-133−3−333−3−3000000000000
χ6822-2-222-2-22222-2-2-2-22222-2-2-2-22-2220000-2-200000000000000000000-2-222-2-222-2-2-2-22222-2-2-2-22222-22-2-200002200000000000000000000
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χ7022-2-2-1-1112222-2-2-2-2-1-1-1-111112-2-1-1000011−3−33333−3−3000000000000-2-22211-1-1-2-2-2-222221111-1-1-1-1-22110000-1-133−3−3−3−333000000000000
χ7122-2-2-1-1112222-2-2-2-2-1-1-1-11111-221122-2-2-1-1-1-1-1-11111000000000000-2-22211-1-1-2-2-2-222221111-1-1-1-12-2-1-1-2-222111111-1-1-1-1000000000000
χ7222-2-2-1-1112222-2-2-2-2-1-1-1-11111-2211-2-222-1-11111-1-1-1-1000000000000-2-22211-1-1-2-2-2-222221111-1-1-1-12-2-1-122-2-211-1-1-1-11111000000000000
χ732-22i−2i2-22i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i00002−2−i2i2002−22−2−i2i2−i2i2000000000000-22−2i2i-22−2i2i-2-222−2i−2i2i2i-2-222−2i−2i2i2i0000−22i2−i200−22−22i2−i2i2−i2000000000000
χ742-22i−2i2-22i−2i22-2-22i2i−2i−2i22-2-22i2i−2i−2i0000−22i2−i200−22−22i2−i2i2−i2000000000000-22−2i2i-22−2i2i-2-222−2i−2i2i2i-2-222−2i−2i2i2i00002−2−i2i2002−22−2−i2i2−i2i2000000000000
χ752-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00−i3i32−2−i2i23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000-22−2i2i1-1i−i-2-222−2i−2i2i2i11-1-1ii−i−i00i3−i3−22i2−i2−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ762-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00−i3i3−22i2−i23−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000-22−2i2i1-1i−i-2-222−2i−2i2i2i11-1-1ii−i−i00i3−i32−2−i2i2−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ772-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00i3−i32−2−i2i2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000-22−2i2i1-1i−i-2-222−2i−2i2i2i11-1-1ii−i−i00−i3i3−22i2−i23−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ782-22i−2i-11−ii22-2-22i2i−2i−2i-1-111−i−iii00i3−i3−22i2−i2−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000-22−2i2i1-1i−i-2-222−2i−2i2i2i11-1-1ii−i−i00−i3i32−2−i2i23−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ792-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00002−2i2−i2002−22−2i2−i2i2−i2000000000000-222i−2i-222i−2i-2-2222i2i−2i−2i-2-2222i2i−2i−2i0000−22−i2i200−22−22−i2i2−i2i2000000000000
χ802-2−2i2i2-2−2i2i22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000−22−i2i200−22−22−i2i2−i2i2000000000000-222i−2i-222i−2i-2-2222i2i−2i−2i-2-2222i2i−2i−2i00002−2i2−i2002−22−2i2−i2i2−i2000000000000
χ812-2−2i2i-11i−i22-2-2−2i−2i2i2i-1-111ii−i−i00−i3i32−2i2−i2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000-222i−2i1-1−ii-2-2222i2i−2i−2i11-1-1−i−iii00i3−i3−22−i2i23−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000
χ822-2−2i2i-11i−i22-2-2−2i−2i2i2i-1-111ii−i−i00−i3i3−22−i2i2−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000000-222i−2i1-1−ii-2-2222i2i−2i−2i11-1-1−i−iii00i3−i32−2i2−i23−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000000
χ832-2−2i2i-11i−i22-2-2−2i−2i2i2i-1-111ii−i−i00i3−i32−2i2−i23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000-222i−2i1-1−ii-2-2222i2i−2i−2i11-1-1−i−iii00−i3i3−22−i2i2−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000
χ842-2−2i2i-11i−i22-2-2−2i−2i2i2i-1-111ii−i−i00i3−i3−22−i2i23−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000000-222i−2i1-1−ii-2-2222i2i−2i−2i11-1-1−i−iii00−i3i32−2i2−i2−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000000
χ85444444441-21-21-21-21-21-21-21-200000000000000000000220000-1-1-1-1-4-4-4-4-4-4-4-4-12-12-12-12-12-12-12-1200000000000000000000-2-200001111
χ86444444441-21-21-21-21-21-21-21-200000000000000000000-2-200001111-4-4-4-4-4-4-4-4-12-12-12-12-12-12-12-1200000000000000000000220000-1-1-1-1
χ8744444444-21-21-21-21-21-21-21-210000000000000000002200-1-1-1-10000-4-4-4-4-4-4-4-42-12-12-12-12-12-12-12-1000000000000000000-2-20011110000
χ8844444444-21-21-21-21-21-21-21-21000000000000000000-2-20011110000-4-4-4-4-4-4-4-42-12-12-12-12-12-12-12-10000000000000000002200-1-1-1-10000
χ8944-4-444-4-41-21-2-12-121-21-2-12-12000000000000000000002i−2i0000−i−iii-4-444-4-444-12-121-21-2-12-121-21-200000000000000000000−2i2i0000ii−i−i
χ9044-4-444-4-41-21-2-12-121-21-2-12-1200000000000000000000−2i2i0000ii−i−i-4-444-4-444-12-121-21-2-12-121-21-2000000000000000000002i−2i0000−i−iii
χ9144-4-444-4-4-21-212-12-1-21-212-12-10000000000000000002i−2i00−i−iii0000-4-444-4-4442-12-1-21-212-12-1-21-21000000000000000000−2i2i00ii−i−i0000
χ9244-4-444-4-4-21-212-12-1-21-212-12-1000000000000000000−2i2i00ii−i−i0000-4-444-4-4442-12-1-21-212-12-1-21-210000000000000000002i−2i00−i−iii0000
χ934-44i−4i4-44i−4i1-2-12i−2i−i2i1-2-12i−2i−i2i00000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13-44−4i4i-44−4i4i-121-2−i2ii−2i-121-2−i2ii−2i00000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ944-44i−4i4-44i−4i1-2-12i−2i−i2i1-2-12i−2i−i2i00000000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13-44−4i4i-44−4i4i-121-2−i2ii−2i-121-2−i2ii−2i00000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ954-44i−4i4-44i−4i-212-1−2ii2i−i-212-1−2ii2i−i0000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000-44−4i4i-44−4i4i2-1-212i−i−2ii2-1-212i−i−2ii0000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ964-44i−4i4-44i−4i-212-1−2ii2i−i-212-1−2ii2i−i0000000000000000000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000-44−4i4i-44−4i4i2-1-212i−i−2ii2-1-212i−i−2ii0000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ974-4−4i4i4-4−4i4i1-2-12−i2ii−2i1-2-12−i2ii−2i00000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23-444i−4i-444i−4i-121-2i−2i−i2i-121-2i−2i−i2i00000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ984-4−4i4i4-4−4i4i1-2-12−i2ii−2i1-2-12−i2ii−2i00000000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23-444i−4i-444i−4i-121-2i−2i−i2i-121-2i−2i−i2i00000000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ994-4−4i4i4-4−4i4i-212-12i−i−2ii-212-12i−i−2ii0000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000-444i−4i-444i−4i2-1-21−2ii2i−i2-1-21−2ii2i−i0000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ1004-4−4i4i4-4−4i4i-212-12i−i−2ii-212-12i−i−2ii0000000000000000000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000-444i−4i-444i−4i2-1-21−2ii2i−i2-1-21−2ii2i−i0000000000000000000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ1018888-4-4-4-42-42-42-42-4-12-12-12-12000000000000000000000000000000-8-8-8-84444-24-24-24-241-21-21-21-2000000000000000000000000000000
χ1028888-4-4-4-4-42-42-42-422-12-12-12-1000000000000000000000000000000-8-8-8-844444-24-24-24-2-21-21-21-21000000000000000000000000000000
χ10388-8-8-4-4442-42-4-24-24-12-121-21-2000000000000000000000000000000-8-88844-4-4-24-242-42-41-21-2-12-12000000000000000000000000000000
χ10488-8-8-4-444-42-424-24-22-12-1-21-21000000000000000000000000000000-8-88844-4-44-24-2-42-42-21-212-12-1000000000000000000000000000000
χ1058-88i−8i-44−4i4i2-4-242i−4i−2i4i-121-2−i2ii−2i000000000000000000000000000000-88−8i8i4-44i−4i-242-4−2i4i2i−4i1-2-12i−2i−i2i000000000000000000000000000000
χ1068-88i−8i-44−4i4i-424-2−4i2i4i−2i2-1-212i−i−2ii000000000000000000000000000000-88−8i8i4-44i−4i4-2-424i−2i−4i2i-212-1−2ii2i−i000000000000000000000000000000
χ1078-8−8i8i-444i−4i2-4-24−2i4i2i−4i-121-2i−2i−i2i000000000000000000000000000000-888i−8i4-4−4i4i-242-42i−4i−2i4i1-2-12−i2ii−2i000000000000000000000000000000
χ1088-8−8i8i-444i−4i-424-24i−2i−4i2i2-1-21−2ii2i−i000000000000000000000000000000-888i−8i4-4−4i4i4-2-42−4i2i4i−2i-212-12i−i−2ii000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.