Finite Group Databasebeta

← Group #13166491

Character table — Group #13166491

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size112244446888899121212121818181818181818545454112244446888899121212121818181818181818545454112244446888899121212121818181818181818545454112244446888899121212121818181818181818545454
order123633664336644121212128812122424242428844121212121212412121212441212121288121224242424488226666664666644121212128812122424242428844121212121212412121212441212121288121224242424488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111-1-111-1-1-1-11-1-11111111111111111111-1-111-1-1-1-11-1-11111111111111111111-1-111-1-1-1-11-1-11111111111111111111-1-111-1-1-1-11-1-1
χ31111111111111-1-11111i−i-1-1ii−i−i-1i−i1111111111111-1-11111i−i-1-1ii−i−i-1i−i1111111111111-1-11111i−i-1-1ii−i−i-1i−i1111111111111-1-11111i−i-1-1ii−i−i-1i−i
χ41111111111111-1-11111−ii-1-1−i−iii-1−ii1111111111111-1-11111−ii-1-1−i−iii-1−ii1111111111111-1-11111−ii-1-1−i−iii-1−ii1111111111111-1-11111−ii-1-1−i−iii-1−ii
χ511111111-1111111-1-1-1-111111111-1-1-111111111-1111111-1-1-1-111111111-1-1-111111111-1111111-1-1-1-111111111-1-1-111111111-1111111-1-1-1-111111111-1-1-1
χ611111111-1111111-1-1-1-1-1-111-1-1-1-1-11111111111-1111111-1-1-1-1-1-111-1-1-1-1-11111111111-1111111-1-1-1-1-1-111-1-1-1-1-11111111111-1111111-1-1-1-1-1-111-1-1-1-1-111
χ711111111-11111-1-1-1-1-1-1i−i-1-1ii−i−i1−ii11111111-11111-1-1-1-1-1-1i−i-1-1ii−i−i1−ii11111111-11111-1-1-1-1-1-1i−i-1-1ii−i−i1−ii11111111-11111-1-1-1-1-1-1i−i-1-1ii−i−i1−ii
χ811111111-11111-1-1-1-1-1-1−ii-1-1−i−iii1i−i11111111-11111-1-1-1-1-1-1−ii-1-1−i−iii1i−i11111111-11111-1-1-1-1-1-1−ii-1-1−i−iii1i−i11111111-11111-1-1-1-1-1-1−ii-1-1−i−iii1i−i
χ922-1-122220-1-1-1-122000022-1-1-1-1-1-100022-1-122220-1-1-1-122000022-1-1-1-1-1-100022-1-122220-1-1-1-122000022-1-1-1-1-1-100022-1-122220-1-1-1-122000022-1-1-1-1-1-1000
χ1022-1-122220-1-1-1-1220000-2-2-1-1111100022-1-122220-1-1-1-1220000-2-2-1-1111100022-1-122220-1-1-1-1220000-2-2-1-1111100022-1-122220-1-1-1-1220000-2-2-1-11111000
χ1122-1-122220-1-1-1-1-2-200002i−2i11−i−iii00022-1-122220-1-1-1-1-2-200002i−2i11−i−iii00022-1-122220-1-1-1-1-2-200002i−2i11−i−iii00022-1-122220-1-1-1-1-2-200002i−2i11−i−iii000
χ1222-1-122220-1-1-1-1-2-20000−2i2i11ii−i−i00022-1-122220-1-1-1-1-2-20000−2i2i11ii−i−i00022-1-122220-1-1-1-1-2-20000−2i2i11ii−i−i00022-1-122220-1-1-1-1-2-20000−2i2i11ii−i−i000
χ132-22-222-2-2022-2-22i−2i0000002i−2i00000002-22-222-2-2022-2-22i−2i0000002i−2i00000002-22-222-2-2022-2-22i−2i0000002i−2i00000002-22-222-2-2022-2-22i−2i0000002i−2i0000000
χ142-22-222-2-2022-2-2−2i2i000000−2i2i00000002-22-222-2-2022-2-2−2i2i000000−2i2i00000002-22-222-2-2022-2-2−2i2i000000−2i2i00000002-22-222-2-2022-2-2−2i2i000000−2i2i0000000
χ152-2-1122-2-20-1-1112i−2i000000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130002-2-1122-2-20-1-1112i−2i000000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130002-2-1122-2-20-1-1112i−2i000000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130002-2-1122-2-20-1-1112i−2i000000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000
χ162-2-1122-2-20-1-1112i−2i000000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130002-2-1122-2-20-1-1112i−2i000000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130002-2-1122-2-20-1-1112i−2i000000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130002-2-1122-2-20-1-1112i−2i000000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000
χ172-2-1122-2-20-1-111−2i2i000000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230002-2-1122-2-20-1-111−2i2i000000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230002-2-1122-2-20-1-111−2i2i000000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230002-2-1122-2-20-1-111−2i2i000000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000
χ182-2-1122-2-20-1-111−2i2i000000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230002-2-1122-2-20-1-111−2i2i000000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230002-2-1122-2-20-1-111−2i2i000000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230002-2-1122-2-20-1-111−2i2i000000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000
χ1944441-21-241-21-20011-2-20000000000044441-21-241-21-20011-2-20000000000044441-21-241-21-20011-2-20000000000044441-21-241-21-20011-2-200000000000
χ2044441-21-2-41-21-200-1-1220000000000044441-21-2-41-21-200-1-1220000000000044441-21-2-41-21-200-1-1220000000000044441-21-2-41-21-200-1-12200000000000
χ214444-21-214-21-2100-2-211000000000004444-21-214-21-2100-2-211000000000004444-21-214-21-2100-2-211000000000004444-21-214-21-2100-2-21100000000000
χ224444-21-21-4-21-210022-1-1000000000004444-21-21-4-21-210022-1-1000000000004444-21-21-4-21-210022-1-1000000000004444-21-21-4-21-210022-1-100000000000
χ234-44-41-2-1201-2-12003i−3i00000000000004-44-41-2-1201-2-12003i−3i00000000000004-44-41-2-1201-2-12003i−3i00000000000004-44-41-2-1201-2-12003i−3i0000000000000
χ244-44-41-2-1201-2-1200−3i3i00000000000004-44-41-2-1201-2-1200−3i3i00000000000004-44-41-2-1201-2-1200−3i3i00000000000004-44-41-2-1201-2-1200−3i3i0000000000000
χ254-44-4-212-10-212-100003i−3i000000000004-44-4-212-10-212-100003i−3i000000000004-44-4-212-10-212-100003i−3i000000000004-44-4-212-10-212-100003i−3i00000000000
χ264-44-4-212-10-212-10000−3i3i000000000004-44-4-212-10-212-10000−3i3i000000000004-44-4-212-10-212-10000−3i3i000000000004-44-4-212-10-212-10000−3i3i00000000000
χ2788-4-42-42-40-12-120000000000000000088-4-42-42-40-12-120000000000000000088-4-42-42-40-12-120000000000000000088-4-42-42-40-12-1200000000000000000
χ2888-4-4-42-4202-12-10000000000000000088-4-4-42-4202-12-10000000000000000088-4-4-42-4202-12-10000000000000000088-4-4-42-4202-12-100000000000000000
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χ308-8-44-424-202-1-21000000000000000008-8-44-424-202-1-21000000000000000008-8-44-424-202-1-21000000000000000008-8-44-424-202-1-2100000000000000000
χ31111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ321111111111111111111-1-111-1-1-1-11-1-1iiiiiiiiiiiiiiiiiii−i−iii−i−i−i−ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiii−iii
χ331111111111111-1-11111i−i-1-1ii−i−i-1i−iiiiiiiiiiiiii−i−iiiii-11−i−i-1-111−i-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1−ii11−i−iii1−ii−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−i1-1ii11-1-1i1-1
χ341111111111111-1-11111−ii-1-1−i−iii-1−iiiiiiiiiiiiiii−i−iiiii1-1−i−i11-1-1−i1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1i−i11ii−i−i1i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−i-11ii-1-111i-11
χ3511111111-1111111-1-1-1-111111111-1-1-1iiiiiiii−iiiiiii−i−i−i−iiiiiiiii−i−i−i-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−i−ii−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiii
χ3611111111-1111111-1-1-1-1-1-111-1-1-1-1-111iiiiiiii−iiiiiii−i−i−i−i−i−iii−i−i−i−i−iii-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111111-1-1−i−i−i−i−i−i−i−ii−i−i−i−i−i−iiiiiii−i−iiiiii−i−i
χ3711111111-11111-1-1-1-1-1-1i−i-1-1ii−i−i1−iiiiiiiiii−iiiii−i−i−i−i−i−i-11−i−i-1-111i1-1-1-1-1-1-1-1-1-11-1-1-1-1111111−ii11−i−iii-1i−i−i−i−i−i−i−i−i−ii−i−i−i−iiiiiii1-1ii11-1-1−i-11
χ3811111111-11111-1-1-1-1-1-1−ii-1-1−i−iii1i−iiiiiiiii−iiiii−i−i−i−i−i−i1-1−i−i11-1-1i-11-1-1-1-1-1-1-1-11-1-1-1-1111111i−i11ii−i−i-1−ii−i−i−i−i−i−i−i−ii−i−i−i−iiiiiii-11ii-1-111−i1-1
χ3922-1-122220-1-1-1-122000022-1-1-1-1-1-10002i2i−i−i2i2i2i2i0−i−i−i−i2i2i00002i2i−i−i−i−i−i−i000-2-211-2-2-2-201111-2-20000-2-2111111000−2i−2iii−2i−2i−2i−2i0iiii−2i−2i0000−2i−2iiiiiii000
χ4022-1-122220-1-1-1-1220000-2-2-1-111110002i2i−i−i2i2i2i2i0−i−i−i−i2i2i0000−2i−2i−i−iiiii000-2-211-2-2-2-201111-2-200002211-1-1-1-1000−2i−2iii−2i−2i−2i−2i0iiii−2i−2i00002i2iii−i−i−i−i000
χ4122-1-122220-1-1-1-1-2-200002i−2i11−i−iii0002i2i−i−i2i2i2i2i0−i−i−i−i−2i−2i0000-22ii11-1-1000-2-211-2-2-2-201111220000−2i2i-1-1ii−i−i000−2i−2iii−2i−2i−2i−2i0iiii2i2i00002-2−i−i-1-111000
χ4222-1-122220-1-1-1-1-2-20000−2i2i11ii−i−i0002i2i−i−i2i2i2i2i0−i−i−i−i−2i−2i00002-2ii-1-111000-2-211-2-2-2-2011112200002i−2i-1-1−i−iii000−2i−2iii−2i−2i−2i−2i0iiii2i2i0000-22−i−i11-1-1000
χ432-22-222-2-2022-2-22i−2i0000002i−2i00000002i−2i2i−2i2i2i−2i−2i02i2i−2i−2i-22000000-220000000-22-22-2-2220-2-222−2i2i000000−2i2i0000000−2i2i−2i2i−2i−2i2i2i0−2i−2i2i2i2-20000002-20000000
χ442-22-222-2-2022-2-2−2i2i000000−2i2i00000002i−2i2i−2i2i2i−2i−2i02i2i−2i−2i2-20000002-20000000-22-22-2-2220-2-2222i−2i0000002i−2i0000000−2i2i−2i2i−2i−2i2i2i0−2i−2i2i2i-22000000-220000000
χ452-2-1122-2-20-1-1112i−2i000000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130002i−2i−ii2i2i−2i−2i0−i−iii-220000001-1ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000-221-1-2-222011-1-1−2i2i000000i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000−2i2ii−i−2i−2i2i2i0ii−i−i2-2000000-11−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000
χ462-2-1122-2-20-1-1112i−2i000000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130002i−2i−ii2i2i−2i−2i0−i−iii-220000001-1−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000-221-1-2-222011-1-1−2i2i000000i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000−2i2ii−i−2i−2i2i2i0ii−i−i2-2000000-11ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000
χ472-2-1122-2-20-1-111−2i2i000000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230002i−2i−ii2i2i−2i−2i0−i−iii2-2000000-11ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000-221-1-2-222011-1-12i−2i000000−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000−2i2ii−i−2i−2i2i2i0ii−i−i-220000001-1−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000
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χ61111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ621111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1111111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111
χ631111111111111-1-11111i−i-1-1ii−i−i-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1−ii11−i−iii1−ii1111111111111-1-11111i−i-1-1ii−i−i-1i−i-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1−ii11−i−iii1−ii
χ641111111111111-1-11111−ii-1-1−i−iii-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1i−i11ii−i−i1i−i1111111111111-1-11111−ii-1-1−i−iii-1−ii-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1i−i11ii−i−i1i−i
χ6511111111-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ6611111111-1111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111111-1-111111111-1111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111111-1-1
χ6711111111-11111-1-1-1-1-1-1i−i-1-1ii−i−i1−ii-1-1-1-1-1-1-1-11-1-1-1-1111111−ii11−i−iii-1i−i11111111-11111-1-1-1-1-1-1i−i-1-1ii−i−i1−ii-1-1-1-1-1-1-1-11-1-1-1-1111111−ii11−i−iii-1i−i
χ6811111111-11111-1-1-1-1-1-1−ii-1-1−i−iii1i−i-1-1-1-1-1-1-1-11-1-1-1-1111111i−i11ii−i−i-1−ii11111111-11111-1-1-1-1-1-1−ii-1-1−i−iii1i−i-1-1-1-1-1-1-1-11-1-1-1-1111111i−i11ii−i−i-1−ii
χ6922-1-122220-1-1-1-122000022-1-1-1-1-1-1000-2-211-2-2-2-201111-2-20000-2-211111100022-1-122220-1-1-1-122000022-1-1-1-1-1-1000-2-211-2-2-2-201111-2-20000-2-2111111000
χ7022-1-122220-1-1-1-1220000-2-2-1-11111000-2-211-2-2-2-201111-2-200002211-1-1-1-100022-1-122220-1-1-1-1220000-2-2-1-11111000-2-211-2-2-2-201111-2-200002211-1-1-1-1000
χ7122-1-122220-1-1-1-1-2-200002i−2i11−i−iii000-2-211-2-2-2-201111220000−2i2i-1-1ii−i−i00022-1-122220-1-1-1-1-2-200002i−2i11−i−iii000-2-211-2-2-2-201111220000−2i2i-1-1ii−i−i000
χ7222-1-122220-1-1-1-1-2-20000−2i2i11ii−i−i000-2-211-2-2-2-2011112200002i−2i-1-1−i−iii00022-1-122220-1-1-1-1-2-20000−2i2i11ii−i−i000-2-211-2-2-2-2011112200002i−2i-1-1−i−iii000
χ732-22-222-2-2022-2-22i−2i0000002i−2i0000000-22-22-2-2220-2-222−2i2i000000−2i2i00000002-22-222-2-2022-2-22i−2i0000002i−2i0000000-22-22-2-2220-2-222−2i2i000000−2i2i0000000
χ742-22-222-2-2022-2-2−2i2i000000−2i2i0000000-22-22-2-2220-2-2222i−2i0000002i−2i00000002-22-222-2-2022-2-2−2i2i000000−2i2i0000000-22-22-2-2220-2-2222i−2i0000002i−2i0000000
χ752-2-1122-2-20-1-1112i−2i000000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000-221-1-2-222011-1-1−2i2i000000i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130002-2-1122-2-20-1-1112i−2i000000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000-221-1-2-222011-1-1−2i2i000000i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000
χ762-2-1122-2-20-1-1112i−2i000000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000-221-1-2-222011-1-1−2i2i000000i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130002-2-1122-2-20-1-1112i−2i000000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000-221-1-2-222011-1-1−2i2i000000i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000
χ772-2-1122-2-20-1-111−2i2i000000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000-221-1-2-222011-1-12i−2i000000−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230002-2-1122-2-20-1-111−2i2i000000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000-221-1-2-222011-1-12i−2i000000−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000
χ782-2-1122-2-20-1-111−2i2i000000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000-221-1-2-222011-1-12i−2i000000−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230002-2-1122-2-20-1-111−2i2i000000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000-221-1-2-222011-1-12i−2i000000−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000
χ7944441-21-241-21-20011-2-200000000000-4-4-4-4-12-12-4-12-1200-1-1220000000000044441-21-241-21-20011-2-200000000000-4-4-4-4-12-12-4-12-1200-1-12200000000000
χ8044441-21-2-41-21-200-1-12200000000000-4-4-4-4-12-124-12-120011-2-20000000000044441-21-2-41-21-200-1-12200000000000-4-4-4-4-12-124-12-120011-2-200000000000
χ814444-21-214-21-2100-2-21100000000000-4-4-4-42-12-1-42-12-10022-1-1000000000004444-21-214-21-2100-2-21100000000000-4-4-4-42-12-1-42-12-10022-1-100000000000
χ824444-21-21-4-21-210022-1-100000000000-4-4-4-42-12-142-12-100-2-211000000000004444-21-21-4-21-210022-1-100000000000-4-4-4-42-12-142-12-100-2-21100000000000
χ834-44-41-2-1201-2-12003i−3i0000000000000-44-44-121-20-121-200−3i3i00000000000004-44-41-2-1201-2-12003i−3i0000000000000-44-44-121-20-121-200−3i3i0000000000000
χ844-44-41-2-1201-2-1200−3i3i0000000000000-44-44-121-20-121-2003i−3i00000000000004-44-41-2-1201-2-1200−3i3i0000000000000-44-44-121-20-121-2003i−3i0000000000000
χ854-44-4-212-10-212-100003i−3i00000000000-44-442-1-2102-1-210000−3i3i000000000004-44-4-212-10-212-100003i−3i00000000000-44-442-1-2102-1-210000−3i3i00000000000
χ864-44-4-212-10-212-10000−3i3i00000000000-44-442-1-2102-1-2100003i−3i000000000004-44-4-212-10-212-10000−3i3i00000000000-44-442-1-2102-1-2100003i−3i00000000000
χ8788-4-42-42-40-12-1200000000000000000-8-844-24-2401-21-20000000000000000088-4-42-42-40-12-1200000000000000000-8-844-24-2401-21-200000000000000000
χ8888-4-4-42-4202-12-100000000000000000-8-8444-24-20-21-210000000000000000088-4-4-42-4202-12-100000000000000000-8-8444-24-20-21-2100000000000000000
χ898-8-442-4-240-121-200000000000000000-884-4-242-401-2-12000000000000000008-8-442-4-240-121-200000000000000000-884-4-242-401-2-1200000000000000000
χ908-8-44-424-202-1-2100000000000000000-884-44-2-420-212-1000000000000000008-8-44-424-202-1-2100000000000000000-884-44-2-420-212-100000000000000000
χ91111111111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiiiii
χ921111111111111111111-1-111-1-1-1-11-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiii−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-111iiiiiiiiiiiiiiiiiii−i−iii−i−i−i−ii−i−i
χ931111111111111-1-11111i−i-1-1ii−i−i-1i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−i1-1ii11-1-1i1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1−ii11−i−iii1−iiiiiiiiiiiiiii−i−iiiii-11−i−i-1-111−i-11
χ941111111111111-1-11111−ii-1-1−i−iii-1−ii−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−i-11ii-1-111i-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1i−i11ii−i−i1i−iiiiiiiiiiiiii−i−iiiii1-1−i−i11-1-1−i1-1
χ9511111111-1111111-1-1-1-111111111-1-1-1−i−i−i−i−i−i−i−ii−i−i−i−i−i−iiiii−i−i−i−i−i−i−i−iiii-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111iiiiiiii−iiiiiii−i−i−i−iiiiiiiii−i−i−i
χ9611111111-1111111-1-1-1-1-1-111-1-1-1-1-111−i−i−i−i−i−i−i−ii−i−i−i−i−i−iiiiiii−i−iiiiii−i−i-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111111-1-1iiiiiiii−iiiiiii−i−i−i−i−i−iii−i−i−i−i−iii
χ9711111111-11111-1-1-1-1-1-1i−i-1-1ii−i−i1−ii−i−i−i−i−i−i−i−ii−i−i−i−iiiiiii1-1ii11-1-1−i-11-1-1-1-1-1-1-1-11-1-1-1-1111111−ii11−i−iii-1i−iiiiiiiii−iiiii−i−i−i−i−i−i-11−i−i-1-111i1-1
χ9811111111-11111-1-1-1-1-1-1−ii-1-1−i−iii1i−i−i−i−i−i−i−i−i−ii−i−i−i−iiiiiii-11ii-1-111−i1-1-1-1-1-1-1-1-1-11-1-1-1-1111111i−i11ii−i−i-1−iiiiiiiiii−iiiii−i−i−i−i−i−i1-1−i−i11-1-1i-11
χ9922-1-122220-1-1-1-122000022-1-1-1-1-1-1000−2i−2iii−2i−2i−2i−2i0iiii−2i−2i0000−2i−2iiiiiii000-2-211-2-2-2-201111-2-20000-2-21111110002i2i−i−i2i2i2i2i0−i−i−i−i2i2i00002i2i−i−i−i−i−i−i000
χ10022-1-122220-1-1-1-1220000-2-2-1-11111000−2i−2iii−2i−2i−2i−2i0iiii−2i−2i00002i2iii−i−i−i−i000-2-211-2-2-2-201111-2-200002211-1-1-1-10002i2i−i−i2i2i2i2i0−i−i−i−i2i2i0000−2i−2i−i−iiiii000
χ10122-1-122220-1-1-1-1-2-200002i−2i11−i−iii000−2i−2iii−2i−2i−2i−2i0iiii2i2i00002-2−i−i-1-111000-2-211-2-2-2-201111220000−2i2i-1-1ii−i−i0002i2i−i−i2i2i2i2i0−i−i−i−i−2i−2i0000-22ii11-1-1000
χ10222-1-122220-1-1-1-1-2-20000−2i2i11ii−i−i000−2i−2iii−2i−2i−2i−2i0iiii2i2i0000-22−i−i11-1-1000-2-211-2-2-2-2011112200002i−2i-1-1−i−iii0002i2i−i−i2i2i2i2i0−i−i−i−i−2i−2i00002-2ii-1-111000
χ1032-22-222-2-2022-2-22i−2i0000002i−2i0000000−2i2i−2i2i−2i−2i2i2i0−2i−2i2i2i2-20000002-20000000-22-22-2-2220-2-222−2i2i000000−2i2i00000002i−2i2i−2i2i2i−2i−2i02i2i−2i−2i-22000000-220000000
χ1042-22-222-2-2022-2-2−2i2i000000−2i2i0000000−2i2i−2i2i−2i−2i2i2i0−2i−2i2i2i-22000000-220000000-22-22-2-2220-2-2222i−2i0000002i−2i00000002i−2i2i−2i2i2i−2i−2i02i2i−2i−2i2-20000002-20000000
χ1052-2-1122-2-20-1-1112i−2i000000−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000−2i2ii−i−2i−2i2i2i0ii−i−i2-2000000-11−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000-221-1-2-222011-1-1−2i2i000000i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130002i−2i−ii2i2i−2i−2i0−i−iii-220000001-1ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000
χ1062-2-1122-2-20-1-1112i−2i000000−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000−2i2ii−i−2i−2i2i2i0ii−i−i2-2000000-11ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000-221-1-2-222011-1-1−2i2i000000i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130002i−2i−ii2i2i−2i−2i0−i−iii-220000001-1−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000
χ1072-2-1122-2-20-1-111−2i2i000000i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000−2i2ii−i−2i−2i2i2i0ii−i−i-220000001-1−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000-221-1-2-222011-1-12i−2i000000−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230002i−2i−ii2i2i−2i−2i0−i−iii2-2000000-11ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000
χ1082-2-1122-2-20-1-111−2i2i000000i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000−2i2ii−i−2i−2i2i2i0ii−i−i-220000001-1ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000-221-1-2-222011-1-12i−2i000000−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230002i−2i−ii2i2i−2i−2i0−i−iii2-2000000-11−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000
χ10944441-21-241-21-20011-2-200000000000−4i−4i−4i−4i−i2i−i2i−4i−i2i−i2i00−i−i2i2i00000000000-4-4-4-4-12-12-4-12-1200-1-122000000000004i4i4i4ii−2ii−2i4ii−2ii−2i00ii−2i−2i00000000000
χ11044441-21-2-41-21-200-1-12200000000000−4i−4i−4i−4i−i2i−i2i4i−i2i−i2i00ii−2i−2i00000000000-4-4-4-4-12-124-12-120011-2-2000000000004i4i4i4ii−2ii−2i−4ii−2ii−2i00−i−i2i2i00000000000
χ1114444-21-214-21-2100-2-21100000000000−4i−4i−4i−4i2i−i2i−i−4i2i−i2i−i002i2i−i−i00000000000-4-4-4-42-12-1-42-12-10022-1-1000000000004i4i4i4i−2ii−2ii4i−2ii−2ii00−2i−2iii00000000000
χ1124444-21-21-4-21-210022-1-100000000000−4i−4i−4i−4i2i−i2i−i4i2i−i2i−i00−2i−2iii00000000000-4-4-4-42-12-142-12-100-2-211000000000004i4i4i4i−2ii−2ii−4i−2ii−2ii002i2i−i−i00000000000
χ1134-44-41-2-1201-2-12003i−3i0000000000000−4i4i−4i4i−i2ii−2i0−i2ii−2i003-30000000000000-44-44-121-20-121-200−3i3i00000000000004i−4i4i−4ii−2i−i2i0i−2i−i2i00-330000000000000
χ1144-44-41-2-1201-2-1200−3i3i0000000000000−4i4i−4i4i−i2ii−2i0−i2ii−2i00-330000000000000-44-44-121-20-121-2003i−3i00000000000004i−4i4i−4ii−2i−i2i0i−2i−i2i003-30000000000000
χ1154-44-4-212-10-212-100003i−3i00000000000−4i4i−4i4i2i−i−2ii02i−i−2ii00003-300000000000-44-442-1-2102-1-210000−3i3i000000000004i−4i4i−4i−2ii2i−i0−2ii2i−i0000-3300000000000
χ1164-44-4-212-10-212-10000−3i3i00000000000−4i4i−4i4i2i−i−2ii02i−i−2ii0000-3300000000000-44-442-1-2102-1-2100003i−3i000000000004i−4i4i−4i−2ii2i−i0−2ii2i−i00003-300000000000
χ11788-4-42-42-40-12-1200000000000000000−8i−8i4i4i−2i4i−2i4i0i−2ii−2i00000000000000000-8-844-24-2401-21-2000000000000000008i8i−4i−4i2i−4i2i−4i0−i2i−i2i00000000000000000
χ11888-4-4-42-4202-12-100000000000000000−8i−8i4i4i4i−2i4i−2i0−2ii−2ii00000000000000000-8-8444-24-20-21-21000000000000000008i8i−4i−4i−4i2i−4i2i02i−i2i−i00000000000000000
χ1198-8-442-4-240-121-200000000000000000−8i8i4i−4i−2i4i2i−4i0i−2i−i2i00000000000000000-884-4-242-401-2-12000000000000000008i−8i−4i4i2i−4i−2i4i0−i2ii−2i00000000000000000
χ1208-8-44-424-202-1-2100000000000000000−8i8i4i−4i4i−2i−4i2i0−2ii2i−i00000000000000000-884-44-2-420-212-1000000000000000008i−8i−4i4i−4i2i4i−2i02i−i−2ii00000000000000000

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