Finite Group Databasebeta

← Group #13137436

Character table — Group #13137436

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1122246666661212121212181818181818363636363636112224666666121212121218181818181836363636363611222466666612121212121818181818183636363636361122246666661212121212181818181818363636363636
order12346123366121236121212882424242444121212124412412121212121212121212121212882424242444121212122264612666612126612121288242424244412121212441241212121212121212121212121288242424244412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1
χ311111111111111111-1-1-1-1-1-11-111-1-111111111111111111-1-1-1-1-1-11-111-1-111111111111111111-1-1-1-1-1-11-111-1-111111111111111111-1-1-1-1-1-11-111-1-1
χ411111111111111111-1-1-1-1-1-1-11-1-11111111111111111111-1-1-1-1-1-1-11-1-11111111111111111111-1-1-1-1-1-1-11-1-11111111111111111111-1-1-1-1-1-1-11-1-111
χ52222222-12-122-1-1-1-1-10000000200-1-12222222-12-122-1-1-1-1-10000000200-1-12222222-12-122-1-1-1-1-10000000200-1-12222222-12-122-1-1-1-1-10000000200-1-1
χ62222222-12-122-1-1-1-1-10000000-200112222222-12-122-1-1-1-1-10000000-200112222222-12-122-1-1-1-1-10000000-200112222222-12-122-1-1-1-1-10000000-20011
χ7222222-12-12-1-1-1-12-1-122-1-1-1-1000000222222-12-12-1-1-1-12-1-122-1-1-1-1000000222222-12-12-1-1-1-12-1-122-1-1-1-1000000222222-12-12-1-1-1-12-1-122-1-1-1-1000000
χ8222222-12-12-1-1-1-12-1-1-2-21111000000222222-12-12-1-1-1-12-1-1-2-21111000000222222-12-12-1-1-1-12-1-1-2-21111000000222222-12-12-1-1-1-12-1-1-2-21111000000
χ9222-22-22222-2-222-2-2-2000000000000222-22-22222-2-222-2-2-2000000000000222-22-22222-2-222-2-2-2000000000000222-22-22222-2-222-2-2-2000000000000
χ10222-22-22-12-1-2-2-1-11110000000000−i3i3222-22-22-12-1-2-2-1-11110000000000−i3i3222-22-22-12-1-2-2-1-11110000000000−i3i3222-22-22-12-1-2-2-1-11110000000000−i3i3
χ11222-22-22-12-1-2-2-1-11110000000000i3−i3222-22-22-12-1-2-2-1-11110000000000i3−i3222-22-22-12-1-2-2-1-11110000000000i3−i3222-22-22-12-1-2-2-1-11110000000000i3−i3
χ12222-22-2-12-1211-1-1-2110033−3−3000000222-22-2-12-1211-1-1-2110033−3−3000000222-22-2-12-1211-1-1-2110033−3−3000000222-22-2-12-1211-1-1-2110033−3−3000000
χ13222-22-2-12-1211-1-1-21100−3−333000000222-22-2-12-1211-1-1-21100−3−333000000222-22-2-12-1211-1-1-21100−3−333000000222-22-2-12-1211-1-1-21100−3−333000000
χ142-220-2022-2-2002-20002−22−22−20000002-220-2022-2-2002-20002−22−22−20000002-220-2022-2-2002-20002−22−22−20000002-220-2022-2-2002-20002−22−22−2000000
χ152-220-2022-2-2002-2000−22−22−220000002-220-2022-2-2002-2000−22−22−220000002-220-2022-2-2002-2000−22−22−220000002-220-2022-2-2002-2000−22−22−22000000
χ162-220-20-121-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-220-20-121-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-220-20-121-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-220-20-121-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000
χ172-220-20-121-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002-220-20-121-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002-220-20-121-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002-220-20-121-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000
χ182-220-20-121-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-220-20-121-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-220-20-121-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-220-20-121-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000
χ192-220-20-121-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002-220-20-121-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002-220-20-121-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002-220-20-121-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000
χ20444444-2-2-2-2-2-211-211000000000000444444-2-2-2-2-2-211-211000000000000444444-2-2-2-2-2-211-211000000000000444444-2-2-2-2-2-211-211000000000000
χ21444-44-4-2-2-2-222112-1-1000000000000444-44-4-2-2-2-222112-1-1000000000000444-44-4-2-2-2-222112-1-1000000000000444-44-4-2-2-2-222112-1-1000000000000
χ224-440-404-2-4200-220000000000000004-440-404-2-4200-220000000000000004-440-404-2-4200-220000000000000004-440-404-2-4200-22000000000000000
χ234-440-40-2-22223−231-10−330000000000004-440-40-2-22223−231-10−330000000000004-440-40-2-22223−231-10−330000000000004-440-40-2-22223−231-10−33000000000000
χ244-440-40-2-222−23231-103−30000000000004-440-40-2-222−23231-103−30000000000004-440-40-2-222−23231-103−30000000000004-440-40-2-222−23231-103−3000000000000
χ2566-36-3-30000000000000000020-1-10066-36-3-30000000000000000020-1-10066-36-3-30000000000000000020-1-10066-36-3-30000000000000000020-1-100
χ2666-36-3-300000000000000000-20110066-36-3-300000000000000000-20110066-36-3-300000000000000000-20110066-36-3-300000000000000000-201100
χ2766-3-6-330000000000000000000−i3i30066-3-6-330000000000000000000−i3i30066-3-6-330000000000000000000−i3i30066-3-6-330000000000000000000−i3i300
χ2866-3-6-330000000000000000000i3−i30066-3-6-330000000000000000000i3−i30066-3-6-330000000000000000000i3−i30066-3-6-330000000000000000000i3−i300
χ2912-12-60600000000000000000000000012-12-60600000000000000000000000012-12-60600000000000000000000000012-12-606000000000000000000000000
χ3011111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiii-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
χ3111111111111111111111111-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ3211111111111111111-1-1-1-1-1-11-111-1-1iiiiiiiiiiiiiiiii−i−i−i−i−i−ii−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−ii−i−iii
χ3311111111111111111-1-1-1-1-1-1-11-1-111iiiiiiiiiiiiiiiii−i−i−i−i−i−i−ii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiii−iii−i−i
χ342222222-12-122-1-1-1-1-10000000200-1-12i2i2i2i2i2i2i−i2i−i2i2i−i−i−i−i−i00000002i00−i−i-2-2-2-2-2-2-21-21-2-2111110000000-20011−2i−2i−2i−2i−2i−2i−2ii−2ii−2i−2iiiiii0000000−2i00ii
χ352222222-12-122-1-1-1-1-10000000-200112i2i2i2i2i2i2i−i2i−i2i2i−i−i−i−i−i0000000−2i00ii-2-2-2-2-2-2-21-21-2-2111110000000200-1-1−2i−2i−2i−2i−2i−2i−2ii−2ii−2i−2iiiiii00000002i00−i−i
χ36222222-12-12-1-1-1-12-1-122-1-1-1-10000002i2i2i2i2i2i−i2i−i2i−i−i−i−i2i−i−i2i2i−i−i−i−i000000-2-2-2-2-2-21-21-21111-211-2-21111000000−2i−2i−2i−2i−2i−2ii−2ii−2iiiii−2iii−2i−2iiiii000000
χ37222222-12-12-1-1-1-12-1-1-2-211110000002i2i2i2i2i2i−i2i−i2i−i−i−i−i2i−i−i−2i−2iiiii000000-2-2-2-2-2-21-21-21111-21122-1-1-1-1000000−2i−2i−2i−2i−2i−2ii−2ii−2iiiii−2iii2i2i−i−i−i−i000000
χ38222-22-22222-2-222-2-2-20000000000002i2i2i−2i2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i000000000000-2-2-22-22-2-2-2-222-2-2222000000000000−2i−2i−2i2i−2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i000000000000
χ39222-22-22-12-1-2-2-1-11110000000000−i3i32i2i2i−2i2i−2i2i−i2i−i−2i−2i−i−iiii00000000003−3-2-2-22-22-21-212211-1-1-10000000000i3−i3−2i−2i−2i2i−2i2i−2ii−2ii2i2iii−i−i−i0000000000−33
χ40222-22-22-12-1-2-2-1-11110000000000i3−i32i2i2i−2i2i−2i2i−i2i−i−2i−2i−i−iiii0000000000−33-2-2-22-22-21-212211-1-1-10000000000−i3i3−2i−2i−2i2i−2i2i−2ii−2ii2i2iii−i−i−i00000000003−3
χ41222-22-2-12-1211-1-1-2110033−3−30000002i2i2i−2i2i−2i−i2i−i2iii−i−i−2iii00i3i3−i3−i3000000-2-2-22-221-21-2-1-1112-1-100−3−333000000−2i−2i−2i2i−2i2ii−2ii−2i−i−iii2i−i−i00−i3−i3i3i3000000
χ42222-22-2-12-1211-1-1-21100−3−3330000002i2i2i−2i2i−2i−i2i−i2iii−i−i−2iii00−i3−i3i3i3000000-2-2-22-221-21-2-1-1112-1-10033−3−3000000−2i−2i−2i2i−2i2ii−2ii−2i−i−iii2i−i−i00i3i3−i3−i3000000
χ432-220-2022-2-2002-20002−22−22−20000002i−2i2i0−2i02i2i−2i−2i002i−2i000i2−i2i2−i2i2−i2000000-22-2020-2-22200-22000−22−22−22000000−2i2i−2i02i0−2i−2i2i2i00−2i2i000−i2i2−i2i2−i2i2000000
χ442-220-2022-2-2002-2000−22−22−220000002i−2i2i0−2i02i2i−2i−2i002i−2i000−i2i2−i2i2−i2i2000000-22-2020-2-22200-220002−22−22−2000000−2i2i−2i02i0−2i−2i2i2i00−2i2i000i2−i2i2−i2i2−i2000000
χ452-220-20-121-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002i−2i2i0−2i0−i2ii−2ii3−i3−ii0i3−i3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-22-20201-2-12−331-10−33−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000−2i2i−2i02i0i−2i−i2i−i3i3i−i0−i3i3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ462-220-20-121-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002i−2i2i0−2i0−i2ii−2ii3−i3−ii0i3−i3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-22-20201-2-12−331-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000−2i2i−2i02i0i−2i−i2i−i3i3i−i0−i3i3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ472-220-20-121-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002i−2i2i0−2i0−i2ii−2i−i3i3−ii0−i3i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-22-20201-2-123−31-103−3−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000−2i2i−2i02i0i−2i−i2ii3−i3i−i0i3−i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ482-220-20-121-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002i−2i2i0−2i0−i2ii−2i−i3i3−ii0−i3i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-22-20201-2-123−31-103−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000−2i2i−2i02i0i−2i−i2ii3−i3i−i0i3−i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ49444444-2-2-2-2-2-211-2110000000000004i4i4i4i4i4i−2i−2i−2i−2i−2i−2iii−2iii000000000000-4-4-4-4-4-4222222-1-12-1-1000000000000−4i−4i−4i−4i−4i−4i2i2i2i2i2i2i−i−i2i−i−i000000000000
χ50444-44-4-2-2-2-222112-1-10000000000004i4i4i−4i4i−4i−2i−2i−2i−2i2i2iii2i−i−i000000000000-4-4-44-442222-2-2-1-1-211000000000000−4i−4i−4i4i−4i4i2i2i2i2i−2i−2i−i−i−2iii000000000000
χ514-440-404-2-4200-220000000000000004i−4i4i0−4i04i−2i−4i2i00−2i2i000000000000000-44-4040-424-2002-2000000000000000−4i4i−4i04i0−4i2i4i−2i002i−2i000000000000000
χ524-440-40-2-22223−231-10−330000000000004i−4i4i0−4i0−2i−2i2i2i2i3−2i3i−i0−i3i3000000000000-44-404022-2-2−2323-1103−3000000000000−4i4i−4i04i02i2i−2i−2i−2i32i3−ii0i3−i3000000000000
χ534-440-40-2-222−23231-103−30000000000004i−4i4i0−4i0−2i−2i2i2i−2i32i3i−i0i3−i3000000000000-44-404022-2-223−23-110−33000000000000−4i4i−4i04i02i2i−2i−2i2i3−2i3−ii0−i3i3000000000000
χ5466-36-3-30000000000000000020-1-1006i6i−3i6i−3i−3i000000000000000002i0−i−i00-6-63-63300000000000000000-201100−6i−6i3i−6i3i3i00000000000000000−2i0ii00
χ5566-36-3-300000000000000000-2011006i6i−3i6i−3i−3i00000000000000000−2i0ii00-6-63-6330000000000000000020-1-100−6i−6i3i−6i3i3i000000000000000002i0−i−i00
χ5666-3-6-330000000000000000000−i3i3006i6i−3i−6i−3i3i00000000000000000003−300-6-6363-30000000000000000000i3−i300−6i−6i3i6i3i−3i0000000000000000000−3300
χ5766-3-6-330000000000000000000i3−i3006i6i−3i−6i−3i3i0000000000000000000−3300-6-6363-30000000000000000000−i3i300−6i−6i3i6i3i−3i00000000000000000003−300
χ5812-12-60600000000000000000000000012i−12i−6i06i000000000000000000000000-121260-6000000000000000000000000−12i12i6i0−6i000000000000000000000000
χ5911111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6011111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ6111111111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-11111111111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111
χ6211111111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111111111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1
χ632222222-12-122-1-1-1-1-10000000200-1-1-2-2-2-2-2-2-21-21-2-2111110000000-200112222222-12-122-1-1-1-1-10000000200-1-1-2-2-2-2-2-2-21-21-2-2111110000000-20011
χ642222222-12-122-1-1-1-1-10000000-20011-2-2-2-2-2-2-21-21-2-2111110000000200-1-12222222-12-122-1-1-1-1-10000000-20011-2-2-2-2-2-2-21-21-2-2111110000000200-1-1
χ65222222-12-12-1-1-1-12-1-122-1-1-1-1000000-2-2-2-2-2-21-21-21111-211-2-21111000000222222-12-12-1-1-1-12-1-122-1-1-1-1000000-2-2-2-2-2-21-21-21111-211-2-21111000000
χ66222222-12-12-1-1-1-12-1-1-2-21111000000-2-2-2-2-2-21-21-21111-21122-1-1-1-1000000222222-12-12-1-1-1-12-1-1-2-21111000000-2-2-2-2-2-21-21-21111-21122-1-1-1-1000000
χ67222-22-22222-2-222-2-2-2000000000000-2-2-22-22-2-2-2-222-2-2222000000000000222-22-22222-2-222-2-2-2000000000000-2-2-22-22-2-2-2-222-2-2222000000000000
χ68222-22-22-12-1-2-2-1-11110000000000−i3i3-2-2-22-22-21-212211-1-1-10000000000i3−i3222-22-22-12-1-2-2-1-11110000000000−i3i3-2-2-22-22-21-212211-1-1-10000000000i3−i3
χ69222-22-22-12-1-2-2-1-11110000000000i3−i3-2-2-22-22-21-212211-1-1-10000000000−i3i3222-22-22-12-1-2-2-1-11110000000000i3−i3-2-2-22-22-21-212211-1-1-10000000000−i3i3
χ70222-22-2-12-1211-1-1-2110033−3−3000000-2-2-22-221-21-2-1-1112-1-100−3−333000000222-22-2-12-1211-1-1-2110033−3−3000000-2-2-22-221-21-2-1-1112-1-100−3−333000000
χ71222-22-2-12-1211-1-1-21100−3−333000000-2-2-22-221-21-2-1-1112-1-10033−3−3000000222-22-2-12-1211-1-1-21100−3−333000000-2-2-22-221-21-2-1-1112-1-10033−3−3000000
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χ752-220-20-121-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000-22-20201-2-12−331-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-220-20-121-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000-22-20201-2-12−331-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000
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χ772-220-20-121-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000-22-20201-2-123−31-103−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-220-20-121-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000-22-20201-2-123−31-103−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000
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χ8911111111111111111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i
χ9011111111111111111-1-1-1-1-1-11-111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−ii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111iiiiiiiiiiiiiiiii−i−i−i−i−i−ii−iii−i−i
χ9111111111111111111-1-1-1-1-1-1-11-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiii−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1iiiiiiiiiiiiiiiii−i−i−i−i−i−i−ii−i−iii
χ922222222-12-122-1-1-1-1-10000000200-1-1−2i−2i−2i−2i−2i−2i−2ii−2ii−2i−2iiiiii0000000−2i00ii-2-2-2-2-2-2-21-21-2-2111110000000-200112i2i2i2i2i2i2i−i2i−i2i2i−i−i−i−i−i00000002i00−i−i
χ932222222-12-122-1-1-1-1-10000000-20011−2i−2i−2i−2i−2i−2i−2ii−2ii−2i−2iiiiii00000002i00−i−i-2-2-2-2-2-2-21-21-2-2111110000000200-1-12i2i2i2i2i2i2i−i2i−i2i2i−i−i−i−i−i0000000−2i00ii
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χ1012-220-2022-2-2002-20002−22−22−2000000−2i2i−2i02i0−2i−2i2i2i00−2i2i000−i2i2−i2i2−i2i2000000-22-2020-2-22200-22000−22−22−220000002i−2i2i0−2i02i2i−2i−2i002i−2i000i2−i2i2−i2i2−i2000000
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χ1042-220-20-121-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000−2i2i−2i02i0i−2i−i2i−i3i3i−i0−i3i3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-22-20201-2-12−331-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002i−2i2i0−2i0−i2ii−2ii3−i3−ii0i3−i3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ1052-220-20-121-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000−2i2i−2i02i0i−2i−i2ii3−i3i−i0i3−i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-22-20201-2-123−31-103−3−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002i−2i2i0−2i0−i2ii−2i−i3i3−ii0−i3i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ1062-220-20-121-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000−2i2i−2i02i0i−2i−i2ii3−i3i−i0i3−i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-22-20201-2-123−31-103−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002i−2i2i0−2i0−i2ii−2i−i3i3−ii0−i3i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ107444444-2-2-2-2-2-211-211000000000000−4i−4i−4i−4i−4i−4i2i2i2i2i2i2i−i−i2i−i−i000000000000-4-4-4-4-4-4222222-1-12-1-10000000000004i4i4i4i4i4i−2i−2i−2i−2i−2i−2iii−2iii000000000000
χ108444-44-4-2-2-2-222112-1-1000000000000−4i−4i−4i4i−4i4i2i2i2i2i−2i−2i−i−i−2iii000000000000-4-4-44-442222-2-2-1-1-2110000000000004i4i4i−4i4i−4i−2i−2i−2i−2i2i2iii2i−i−i000000000000
χ1094-440-404-2-4200-22000000000000000−4i4i−4i04i0−4i2i4i−2i002i−2i000000000000000-44-4040-424-2002-20000000000000004i−4i4i0−4i04i−2i−4i2i00−2i2i000000000000000
χ1104-440-40-2-22223−231-10−33000000000000−4i4i−4i04i02i2i−2i−2i−2i32i3−ii0i3−i3000000000000-44-404022-2-2−2323-1103−30000000000004i−4i4i0−4i0−2i−2i2i2i2i3−2i3i−i0−i3i3000000000000
χ1114-440-40-2-222−23231-103−3000000000000−4i4i−4i04i02i2i−2i−2i2i3−2i3−ii0−i3i3000000000000-44-404022-2-223−23-110−330000000000004i−4i4i0−4i0−2i−2i2i2i−2i32i3i−i0i3−i3000000000000
χ11266-36-3-30000000000000000020-1-100−6i−6i3i−6i3i3i00000000000000000−2i0ii00-6-63-63300000000000000000-2011006i6i−3i6i−3i−3i000000000000000002i0−i−i00
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χ11466-3-6-330000000000000000000−i3i300−6i−6i3i6i3i−3i0000000000000000000−3300-6-6363-30000000000000000000i3−i3006i6i−3i−6i−3i3i00000000000000000003−300
χ11566-3-6-330000000000000000000i3−i300−6i−6i3i6i3i−3i00000000000000000003−300-6-6363-30000000000000000000−i3i3006i6i−3i−6i−3i3i0000000000000000000−3300
χ11612-12-606000000000000000000000000−12i12i6i0−6i000000000000000000000000-121260-600000000000000000000000012i−12i−6i06i000000000000000000000000

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