Finite Group Databasebeta

← Group #13150648

Character table — Group #13150648

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1122246666661212121212181818181818363636363636112224666666121212121218181818181836363636363611222466666612121212121818181818183636363636361122246666661212121212181818181818363636363636
order12346123366121236121212882424242424661212226461266661212661212128824242424246612122264612666612126612121288242424242466121222646126666121266121212882424242424661212
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
χ52222222-12-122-1-1-1-1-100000020-1-1002222222-12-122-1-1-1-1-100000020-1-1002222222-12-122-1-1-1-1-100000020-1-1002222222-12-122-1-1-1-1-100000020-1-100
χ62222222-12-122-1-1-1-1-1000000-2011002222222-12-122-1-1-1-1-1000000-2011002222222-12-122-1-1-1-1-1000000-2011002222222-12-122-1-1-1-1-1000000-201100
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
χ10222-22-22-12-1-2-2-1-111100000000−i3i300222-22-22-12-1-2-2-1-111100000000−i3i300222-22-22-12-1-2-2-1-111100000000−i3i300222-22-22-12-1-2-2-1-111100000000−i3i300
χ11222-22-22-12-1-2-2-1-111100000000i3−i300222-22-22-12-1-2-2-1-111100000000i3−i300222-22-22-12-1-2-2-1-111100000000i3−i300222-22-22-12-1-2-2-1-111100000000i3−i300
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
χ142-220-2022-2-2002-2000−i2i2−i2i2−i2i20000002-220-2022-2-2002-2000−i2i2−i2i2−i2i20000002-220-2022-2-2002-2000−i2i2−i2i2−i2i20000002-220-2022-2-2002-2000−i2i2−i2i2−i2i2000000
χ152-220-2022-2-2002-2000i2−i2i2−i2i2−i20000002-220-2022-2-2002-2000i2−i2i2−i2i2−i20000002-220-2022-2-2002-2000i2−i2i2−i2i2−i20000002-220-2022-2-2002-2000i2−i2i2−i2i2−i2000000
χ162-220-20-121-23−3-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-220-20-121-23−3-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-220-20-121-23−3-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-220-20-121-23−3-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ172-220-20-121-23−3-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-220-20-121-23−3-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-220-20-121-23−3-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-220-20-121-23−3-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ182-220-20-121-2−33-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-220-20-121-2−33-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-220-20-121-2−33-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-220-20-121-2−33-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ192-220-20-121-2−33-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-220-20-121-2−33-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-220-20-121-2−33-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-220-20-121-2−33-110−33i2−i2−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
χ2566-36-3-3000000000000000000200-1-166-36-3-3000000000000000000200-1-166-36-3-3000000000000000000200-1-166-36-3-3000000000000000000200-1-1
χ2666-36-3-3000000000000000000-2001166-36-3-3000000000000000000-2001166-36-3-3000000000000000000-2001166-36-3-3000000000000000000-20011
χ2766-3-6-33000000000000000000000−i3i366-3-6-33000000000000000000000−i3i366-3-6-33000000000000000000000−i3i366-3-6-33000000000000000000000−i3i3
χ2866-3-6-33000000000000000000000i3−i366-3-6-33000000000000000000000i3−i366-3-6-33000000000000000000000i3−i366-3-6-33000000000000000000000i3−i3
χ2912-12-60600000000000000000000000012-12-60600000000000000000000000012-12-60600000000000000000000000012-12-606000000000000000000000000
χ3011111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3211111111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-11111111111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111
χ3311111111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111111111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1
χ342222222-12-122-1-1-1-1-100000020-1-100-2-2-2-2-2-2-21-21-2-211111000000-2011002222222-12-122-1-1-1-1-100000020-1-100-2-2-2-2-2-2-21-21-2-211111000000-201100
χ352222222-12-122-1-1-1-1-1000000-201100-2-2-2-2-2-2-21-21-2-21111100000020-1-1002222222-12-122-1-1-1-1-1000000-201100-2-2-2-2-2-2-21-21-2-21111100000020-1-100
χ36222222-12-12-1-1-1-12-1-122-1-1-1-1000000-2-2-2-2-2-21-21-21111-211-2-21111000000222222-12-12-1-1-1-12-1-122-1-1-1-1000000-2-2-2-2-2-21-21-21111-211-2-21111000000
χ37222222-12-12-1-1-1-12-1-1-2-21111000000-2-2-2-2-2-21-21-21111-21122-1-1-1-1000000222222-12-12-1-1-1-12-1-1-2-21111000000-2-2-2-2-2-21-21-21111-21122-1-1-1-1000000
χ38222-22-22222-2-222-2-2-2000000000000-2-2-22-22-2-2-2-222-2-2222000000000000222-22-22222-2-222-2-2-2000000000000-2-2-22-22-2-2-2-222-2-2222000000000000
χ39222-22-22-12-1-2-2-1-111100000000−i3i300-2-2-22-22-21-212211-1-1-100000000i3−i300222-22-22-12-1-2-2-1-111100000000−i3i300-2-2-22-22-21-212211-1-1-100000000i3−i300
χ40222-22-22-12-1-2-2-1-111100000000i3−i300-2-2-22-22-21-212211-1-1-100000000−i3i300222-22-22-12-1-2-2-1-111100000000i3−i300-2-2-22-22-21-212211-1-1-100000000−i3i300
χ41222-22-2-12-1211-1-1-2110033−3−3000000-2-2-22-221-21-2-1-1112-1-100−3−333000000222-22-2-12-1211-1-1-2110033−3−3000000-2-2-22-221-21-2-1-1112-1-100−3−333000000
χ42222-22-2-12-1211-1-1-21100−3−333000000-2-2-22-221-21-2-1-1112-1-10033−3−3000000222-22-2-12-1211-1-1-21100−3−333000000-2-2-22-221-21-2-1-1112-1-10033−3−3000000
χ432-220-2022-2-2002-2000−i2i2−i2i2−i2i2000000-22-2020-2-22200-22000i2−i2i2−i2i2−i20000002-220-2022-2-2002-2000−i2i2−i2i2−i2i2000000-22-2020-2-22200-22000i2−i2i2−i2i2−i2000000
χ442-220-2022-2-2002-2000i2−i2i2−i2i2−i2000000-22-2020-2-22200-22000−i2i2−i2i2−i2i20000002-220-2022-2-2002-2000i2−i2i2−i2i2−i2000000-22-2020-2-22200-22000−i2i2−i2i2−i2i2000000
χ452-220-20-121-23−3-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-22-20201-2-12−331-10−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-220-20-121-23−3-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-22-20201-2-12−331-10−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ462-220-20-121-23−3-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-22-20201-2-12−331-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-220-20-121-23−3-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-22-20201-2-12−331-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ472-220-20-121-2−33-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-22-20201-2-123−31-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-220-20-121-2−33-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-22-20201-2-123−31-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ482-220-20-121-2−33-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-22-20201-2-123−31-103−3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-220-20-121-2−33-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-22-20201-2-123−31-103−3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ49444444-2-2-2-2-2-211-211000000000000-4-4-4-4-4-4222222-1-12-1-1000000000000444444-2-2-2-2-2-211-211000000000000-4-4-4-4-4-4222222-1-12-1-1000000000000
χ50444-44-4-2-2-2-222112-1-1000000000000-4-4-44-442222-2-2-1-1-211000000000000444-44-4-2-2-2-222112-1-1000000000000-4-4-44-442222-2-2-1-1-211000000000000
χ514-440-404-2-4200-22000000000000000-44-4040-424-2002-20000000000000004-440-404-2-4200-22000000000000000-44-4040-424-2002-2000000000000000
χ524-440-40-2-22223−231-10−33000000000000-44-404022-2-2−2323-1103−30000000000004-440-40-2-22223−231-10−33000000000000-44-404022-2-2−2323-1103−3000000000000
χ534-440-40-2-222−23231-103−3000000000000-44-404022-2-223−23-110−330000000000004-440-40-2-222−23231-103−3000000000000-44-404022-2-223−23-110−33000000000000
χ5466-36-3-3000000000000000000200-1-1-6-63-633000000000000000000-2001166-36-3-3000000000000000000200-1-1-6-63-633000000000000000000-20011
χ5566-36-3-3000000000000000000-20011-6-63-633000000000000000000200-1-166-36-3-3000000000000000000-20011-6-63-633000000000000000000200-1-1
χ5666-3-6-33000000000000000000000−i3i3-6-6363-3000000000000000000000i3−i366-3-6-33000000000000000000000−i3i3-6-6363-3000000000000000000000i3−i3
χ5766-3-6-33000000000000000000000i3−i3-6-6363-3000000000000000000000−i3i366-3-6-33000000000000000000000i3−i3-6-6363-3000000000000000000000−i3i3
χ5812-12-606000000000000000000000000-121260-600000000000000000000000012-12-606000000000000000000000000-121260-6000000000000000000000000
χ591111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6011111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ6111111111111111111-1-1-1-1-1-11-111-1-111111111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111
χ6211111111111111111-1-1-1-1-1-1-11-1-11111111111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1
χ632222222-12-122-1-1-1-1-100000020-1-1002222222-12-122-1-1-1-1-100000020-1-100-2-2-2-2-2-2-21-21-2-211111000000-201100-2-2-2-2-2-2-21-21-2-211111000000-201100
χ642222222-12-122-1-1-1-1-1000000-2011002222222-12-122-1-1-1-1-1000000-201100-2-2-2-2-2-2-21-21-2-21111100000020-1-100-2-2-2-2-2-2-21-21-2-21111100000020-1-100
χ65222222-12-12-1-1-1-12-1-122-1-1-1-1000000222222-12-12-1-1-1-12-1-122-1-1-1-1000000-2-2-2-2-2-21-21-21111-211-2-21111000000-2-2-2-2-2-21-21-21111-211-2-21111000000
χ66222222-12-12-1-1-1-12-1-1-2-21111000000222222-12-12-1-1-1-12-1-1-2-21111000000-2-2-2-2-2-21-21-21111-21122-1-1-1-1000000-2-2-2-2-2-21-21-21111-21122-1-1-1-1000000
χ67222-22-22222-2-222-2-2-2000000000000222-22-22222-2-222-2-2-2000000000000-2-2-22-22-2-2-2-222-2-2222000000000000-2-2-22-22-2-2-2-222-2-2222000000000000
χ68222-22-22-12-1-2-2-1-111100000000−i3i300222-22-22-12-1-2-2-1-111100000000−i3i300-2-2-22-22-21-212211-1-1-100000000i3−i300-2-2-22-22-21-212211-1-1-100000000i3−i300
χ69222-22-22-12-1-2-2-1-111100000000i3−i300222-22-22-12-1-2-2-1-111100000000i3−i300-2-2-22-22-21-212211-1-1-100000000−i3i300-2-2-22-22-21-212211-1-1-100000000−i3i300
χ70222-22-2-12-1211-1-1-2110033−3−3000000222-22-2-12-1211-1-1-2110033−3−3000000-2-2-22-221-21-2-1-1112-1-100−3−333000000-2-2-22-221-21-2-1-1112-1-100−3−333000000
χ71222-22-2-12-1211-1-1-21100−3−333000000222-22-2-12-1211-1-1-21100−3−333000000-2-2-22-221-21-2-1-1112-1-10033−3−3000000-2-2-22-221-21-2-1-1112-1-10033−3−3000000
χ722-220-2022-2-2002-2000−i2i2−i2i2−i2i20000002-220-2022-2-2002-2000−i2i2−i2i2−i2i2000000-22-2020-2-22200-22000i2−i2i2−i2i2−i2000000-22-2020-2-22200-22000i2−i2i2−i2i2−i2000000
χ732-220-2022-2-2002-2000i2−i2i2−i2i2−i20000002-220-2022-2-2002-2000i2−i2i2−i2i2−i2000000-22-2020-2-22200-22000−i2i2−i2i2−i2i2000000-22-2020-2-22200-22000−i2i2−i2i2−i2i2000000
χ742-220-20-121-23−3-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-220-20-121-23−3-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-22-20201-2-12−331-10−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-22-20201-2-12−331-10−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ752-220-20-121-23−3-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-220-20-121-23−3-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-22-20201-2-12−331-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-22-20201-2-12−331-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ762-220-20-121-2−33-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-220-20-121-2−33-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-22-20201-2-123−31-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-22-20201-2-123−31-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ772-220-20-121-2−33-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-220-20-121-2−33-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-22-20201-2-123−31-103−3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-22-20201-2-123−31-103−3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ78444444-2-2-2-2-2-211-211000000000000444444-2-2-2-2-2-211-211000000000000-4-4-4-4-4-4222222-1-12-1-1000000000000-4-4-4-4-4-4222222-1-12-1-1000000000000
χ79444-44-4-2-2-2-222112-1-1000000000000444-44-4-2-2-2-222112-1-1000000000000-4-4-44-442222-2-2-1-1-211000000000000-4-4-44-442222-2-2-1-1-211000000000000
χ804-440-404-2-4200-220000000000000004-440-404-2-4200-22000000000000000-44-4040-424-2002-2000000000000000-44-4040-424-2002-2000000000000000
χ814-440-40-2-22223−231-10−330000000000004-440-40-2-22223−231-10−33000000000000-44-404022-2-2−2323-1103−3000000000000-44-404022-2-2−2323-1103−3000000000000
χ824-440-40-2-222−23231-103−30000000000004-440-40-2-222−23231-103−3000000000000-44-404022-2-223−23-110−33000000000000-44-404022-2-223−23-110−33000000000000
χ8366-36-3-3000000000000000000200-1-166-36-3-3000000000000000000200-1-1-6-63-633000000000000000000-20011-6-63-633000000000000000000-20011
χ8466-36-3-3000000000000000000-2001166-36-3-3000000000000000000-20011-6-63-633000000000000000000200-1-1-6-63-633000000000000000000200-1-1
χ8566-3-6-33000000000000000000000−i3i366-3-6-33000000000000000000000−i3i3-6-6363-3000000000000000000000i3−i3-6-6363-3000000000000000000000i3−i3
χ8666-3-6-33000000000000000000000i3−i366-3-6-33000000000000000000000i3−i3-6-6363-3000000000000000000000−i3i3-6-6363-3000000000000000000000−i3i3
χ8712-12-60600000000000000000000000012-12-606000000000000000000000000-121260-6000000000000000000000000-121260-6000000000000000000000000
χ8811111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111
χ8911111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111-1-1-1-1-1-1
χ9011111111111111111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-11111111111111111111-1-1-1-1-1-11-111-1-1
χ9111111111111111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111111111111111111-1-1-1-1-1-1-11-1-111
χ922222222-12-122-1-1-1-1-100000020-1-100-2-2-2-2-2-2-21-21-2-211111000000-201100-2-2-2-2-2-2-21-21-2-211111000000-2011002222222-12-122-1-1-1-1-100000020-1-100
χ932222222-12-122-1-1-1-1-1000000-201100-2-2-2-2-2-2-21-21-2-21111100000020-1-100-2-2-2-2-2-2-21-21-2-21111100000020-1-1002222222-12-122-1-1-1-1-1000000-201100
χ94222222-12-12-1-1-1-12-1-122-1-1-1-1000000-2-2-2-2-2-21-21-21111-211-2-21111000000-2-2-2-2-2-21-21-21111-211-2-21111000000222222-12-12-1-1-1-12-1-122-1-1-1-1000000
χ95222222-12-12-1-1-1-12-1-1-2-21111000000-2-2-2-2-2-21-21-21111-21122-1-1-1-1000000-2-2-2-2-2-21-21-21111-21122-1-1-1-1000000222222-12-12-1-1-1-12-1-1-2-21111000000
χ96222-22-22222-2-222-2-2-2000000000000-2-2-22-22-2-2-2-222-2-2222000000000000-2-2-22-22-2-2-2-222-2-2222000000000000222-22-22222-2-222-2-2-2000000000000
χ97222-22-22-12-1-2-2-1-111100000000−i3i300-2-2-22-22-21-212211-1-1-100000000i3−i300-2-2-22-22-21-212211-1-1-100000000i3−i300222-22-22-12-1-2-2-1-111100000000−i3i300
χ98222-22-22-12-1-2-2-1-111100000000i3−i300-2-2-22-22-21-212211-1-1-100000000−i3i300-2-2-22-22-21-212211-1-1-100000000−i3i300222-22-22-12-1-2-2-1-111100000000i3−i300
χ99222-22-2-12-1211-1-1-2110033−3−3000000-2-2-22-221-21-2-1-1112-1-100−3−333000000-2-2-22-221-21-2-1-1112-1-100−3−333000000222-22-2-12-1211-1-1-2110033−3−3000000
χ100222-22-2-12-1211-1-1-21100−3−333000000-2-2-22-221-21-2-1-1112-1-10033−3−3000000-2-2-22-221-21-2-1-1112-1-10033−3−3000000222-22-2-12-1211-1-1-21100−3−333000000
χ1012-220-2022-2-2002-2000−i2i2−i2i2−i2i2000000-22-2020-2-22200-22000i2−i2i2−i2i2−i2000000-22-2020-2-22200-22000i2−i2i2−i2i2−i20000002-220-2022-2-2002-2000−i2i2−i2i2−i2i2000000
χ1022-220-2022-2-2002-2000i2−i2i2−i2i2−i2000000-22-2020-2-22200-22000−i2i2−i2i2−i2i2000000-22-2020-2-22200-22000−i2i2−i2i2−i2i20000002-220-2022-2-2002-2000i2−i2i2−i2i2−i2000000
χ1032-220-20-121-23−3-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-22-20201-2-12−331-10−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-22-20201-2-12−331-10−33i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000002-220-20-121-23−3-1103−3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ1042-220-20-121-23−3-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-22-20201-2-12−331-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-22-20201-2-12−331-10−33−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000002-220-20-121-23−3-1103−3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ1052-220-20-121-2−33-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-22-20201-2-123−31-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-22-20201-2-123−31-103−3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000002-220-20-121-2−33-110−33−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ1062-220-20-121-2−33-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-22-20201-2-123−31-103−3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-22-20201-2-123−31-103−3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000002-220-20-121-2−33-110−33i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ107444444-2-2-2-2-2-211-211000000000000-4-4-4-4-4-4222222-1-12-1-1000000000000-4-4-4-4-4-4222222-1-12-1-1000000000000444444-2-2-2-2-2-211-211000000000000
χ108444-44-4-2-2-2-222112-1-1000000000000-4-4-44-442222-2-2-1-1-211000000000000-4-4-44-442222-2-2-1-1-211000000000000444-44-4-2-2-2-222112-1-1000000000000
χ1094-440-404-2-4200-22000000000000000-44-4040-424-2002-2000000000000000-44-4040-424-2002-20000000000000004-440-404-2-4200-22000000000000000
χ1104-440-40-2-22223−231-10−33000000000000-44-404022-2-2−2323-1103−3000000000000-44-404022-2-2−2323-1103−30000000000004-440-40-2-22223−231-10−33000000000000
χ1114-440-40-2-222−23231-103−3000000000000-44-404022-2-223−23-110−33000000000000-44-404022-2-223−23-110−330000000000004-440-40-2-222−23231-103−3000000000000
χ11266-36-3-3000000000000000000200-1-1-6-63-633000000000000000000-20011-6-63-633000000000000000000-2001166-36-3-3000000000000000000200-1-1
χ11366-36-3-3000000000000000000-20011-6-63-633000000000000000000200-1-1-6-63-633000000000000000000200-1-166-36-3-3000000000000000000-20011
χ11466-3-6-33000000000000000000000−i3i3-6-6363-3000000000000000000000i3−i3-6-6363-3000000000000000000000i3−i366-3-6-33000000000000000000000−i3i3
χ11566-3-6-33000000000000000000000i3−i3-6-6363-3000000000000000000000−i3i3-6-6363-3000000000000000000000−i3i366-3-6-33000000000000000000000i3−i3
χ11612-12-606000000000000000000000000-121260-6000000000000000000000000-121260-600000000000000000000000012-12-606000000000000000000000000

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