Finite Group Databasebeta

← Group #13167518

Character table — Group #13167518

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112244448888181818181818181818363636363636112244448888181818181818181818363636363636112244448888181818181818181818363636363636112244448888181818181818181818363636363636
order123633663366488121224242424441212121244121212121212121212124881212242424244412121212226666666666488121224242424441212121244121212121212121212124881212242424244412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1
χ31111111111111-1-111-1-1-1-11-111-1-11111111111111-1-111-1-1-1-11-111-1-11111111111111-1-111-1-1-1-11-111-1-11111111111111-1-111-1-1-1-11-111-1-1
χ41111111111111-1-111-1-1-1-1-11-1-1111111111111111-1-111-1-1-1-1-11-1-1111111111111111-1-111-1-1-1-1-11-1-1111111111111111-1-111-1-1-1-1-11-1-111
χ5222222222222-200-2-20000000000222222222222-200-2-20000000000222222222222-200-2-20000000000222222222222-200-2-20000000000
χ622-1-12222-1-1-1-1222-1-1-1-1-1-100000022-1-12222-1-1-1-1222-1-1-1-1-1-100000022-1-12222-1-1-1-1222-1-1-1-1-1-100000022-1-12222-1-1-1-1222-1-1-1-1-1-1000000
χ722-1-12222-1-1-1-12-2-2-1-1111100000022-1-12222-1-1-1-12-2-2-1-1111100000022-1-12222-1-1-1-12-2-2-1-1111100000022-1-12222-1-1-1-12-2-2-1-11111000000
χ822-1-12222-1-1-1-1-2001133−3−300000022-1-12222-1-1-1-1-2001133−3−300000022-1-12222-1-1-1-1-2001133−3−300000022-1-12222-1-1-1-1-2001133−3−3000000
χ922-1-12222-1-1-1-1-20011−3−33300000022-1-12222-1-1-1-1-20011−3−33300000022-1-12222-1-1-1-1-20011−3−33300000022-1-12222-1-1-1-1-20011−3−333000000
χ102-22-222-2-222-2-202−2002−22−20000002-22-222-2-222-2-202−2002−22−20000002-22-222-2-222-2-202−2002−22−20000002-22-222-2-222-2-202−2002−22−2000000
χ112-22-222-2-222-2-20−2200−22−220000002-22-222-2-222-2-20−2200−22−220000002-22-222-2-222-2-20−2200−22−220000002-22-222-2-222-2-20−2200−22−22000000
χ122-2-1122-2-2-1-11102−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-2-1122-2-2-1-11102−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-2-1122-2-2-1-11102−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-2-1122-2-2-1-11102−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000
χ132-2-1122-2-2-1-11102−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-2-1122-2-2-1-11102−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-2-1122-2-2-1-11102−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-2-1122-2-2-1-11102−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000
χ142-2-1122-2-2-1-1110−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002-2-1122-2-2-1-1110−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002-2-1122-2-2-1-1110−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002-2-1122-2-2-1-1110−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000
χ152-2-1122-2-2-1-1110−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002-2-1122-2-2-1-1110−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002-2-1122-2-2-1-1110−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002-2-1122-2-2-1-1110−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000
χ1644441-21-21-21-20000000000200-1-144441-21-21-21-20000000000200-1-144441-21-21-21-20000000000200-1-144441-21-21-21-20000000000200-1-1
χ1744441-21-21-21-20000000000-2001144441-21-21-21-20000000000-2001144441-21-21-21-20000000000-2001144441-21-21-21-20000000000-20011
χ184444-21-21-21-2100000000020-1-1004444-21-21-21-2100000000020-1-1004444-21-21-21-2100000000020-1-1004444-21-21-21-2100000000020-1-100
χ194444-21-21-21-21000000000-2011004444-21-21-21-21000000000-2011004444-21-21-21-21000000000-2011004444-21-21-21-21000000000-201100
χ204-44-41-2-121-2-1200000000000003−34-44-41-2-121-2-1200000000000003−34-44-41-2-121-2-1200000000000003−34-44-41-2-121-2-1200000000000003−3
χ214-44-41-2-121-2-120000000000000−334-44-41-2-121-2-120000000000000−334-44-41-2-121-2-120000000000000−334-44-41-2-121-2-120000000000000−33
χ224-44-4-212-1-212-1000000000003−3004-44-4-212-1-212-1000000000003−3004-44-4-212-1-212-1000000000003−3004-44-4-212-1-212-1000000000003−300
χ234-44-4-212-1-212-100000000000−33004-44-4-212-1-212-100000000000−33004-44-4-212-1-212-100000000000−33004-44-4-212-1-212-100000000000−3300
χ2488-4-42-42-4-12-1200000000000000088-4-42-42-4-12-1200000000000000088-4-42-42-4-12-1200000000000000088-4-42-42-4-12-12000000000000000
χ2588-4-4-42-422-12-100000000000000088-4-4-42-422-12-100000000000000088-4-4-42-422-12-100000000000000088-4-4-42-422-12-1000000000000000
χ268-8-442-4-24-121-20000000000000008-8-442-4-24-121-20000000000000008-8-442-4-24-121-20000000000000008-8-442-4-24-121-2000000000000000
χ278-8-44-424-22-1-210000000000000008-8-44-424-22-1-210000000000000008-8-44-424-22-1-210000000000000008-8-44-424-22-1-21000000000000000
χ28111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−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
χ29111111111111111111111-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ301111111111111-1-111-1-1-1-11-111-1-1iiiiiiiiiiiii−i−iii−i−i−i−ii−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiii−ii−i−iii
χ311111111111111-1-111-1-1-1-1-11-1-111iiiiiiiiiiiii−i−iii−i−i−i−i−ii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiiii−iii−i−i
χ32222222222222-200-2-200000000002i2i2i2i2i2i2i2i2i2i2i2i−2i00−2i−2i0000000000-2-2-2-2-2-2-2-2-2-2-2-2200220000000000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i002i2i0000000000
χ3322-1-12222-1-1-1-1222-1-1-1-1-1-10000002i2i−i−i2i2i2i2i−i−i−i−i2i2i2i−i−i−i−i−i−i000000-2-211-2-2-2-21111-2-2-2111111000000−2i−2iii−2i−2i−2i−2iiiii−2i−2i−2iiiiiii000000
χ3422-1-12222-1-1-1-12-2-2-1-111110000002i2i−i−i2i2i2i2i−i−i−i−i2i−2i−2i−i−iiiii000000-2-211-2-2-2-21111-22211-1-1-1-1000000−2i−2iii−2i−2i−2i−2iiiii−2i2i2iii−i−i−i−i000000
χ3522-1-12222-1-1-1-1-2001133−3−30000002i2i−i−i2i2i2i2i−i−i−i−i−2i00iii3i3−i3−i3000000-2-211-2-2-2-21111200-1-1−3−333000000−2i−2iii−2i−2i−2i−2iiiii2i00−i−i−i3−i3i3i3000000
χ3622-1-12222-1-1-1-1-20011−3−3330000002i2i−i−i2i2i2i2i−i−i−i−i−2i00ii−i3−i3i3i3000000-2-211-2-2-2-21111200-1-133−3−3000000−2i−2iii−2i−2i−2i−2iiiii2i00−i−ii3i3−i3−i3000000
χ372-22-222-2-222-2-202−2002−22−20000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0i2−i200i2−i2i2−i2000000-22-22-2-222-2-2220−2200−22−22000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0−i2i200−i2i2−i2i2000000
χ382-22-222-2-222-2-20−2200−22−220000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0−i2i200−i2i2−i2i2000000-22-22-2-222-2-22202−2002−22−2000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0i2−i200i2−i2i2−i2000000
χ392-2-1122-2-2-1-11102−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002i−2i−ii2i2i−2i−2i−i−iii0i2−i2i3−i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-221-1-2-22211-1-10−22−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000−2i2ii−i−2i−2i2i2iii−i−i0−i2i2−i3i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ402-2-1122-2-2-1-11102−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002i−2i−ii2i2i−2i−2i−i−iii0i2−i2−i3i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-221-1-2-22211-1-10−223−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000−2i2ii−i−2i−2i2i2iii−i−i0−i2i2i3−i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ412-2-1122-2-2-1-1110−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002i−2i−ii2i2i−2i−2i−i−iii0−i2i2i3−i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-221-1-2-22211-1-102−2−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000−2i2ii−i−2i−2i2i2iii−i−i0i2−i2−i3i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ422-2-1122-2-2-1-1110−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002i−2i−ii2i2i−2i−2i−i−iii0−i2i2−i3i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-221-1-2-22211-1-102−23−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000−2i2ii−i−2i−2i2i2iii−i−i0i2−i2i3−i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ4344441-21-21-21-20000000000200-1-14i4i4i4ii−2ii−2ii−2ii−2i00000000002i00−i−i-4-4-4-4-12-12-12-120000000000-20011−4i−4i−4i−4i−i2i−i2i−i2i−i2i0000000000−2i00ii
χ4444441-21-21-21-20000000000-200114i4i4i4ii−2ii−2ii−2ii−2i0000000000−2i00ii-4-4-4-4-12-12-12-120000000000200-1-1−4i−4i−4i−4i−i2i−i2i−i2i−i2i00000000002i00−i−i
χ454444-21-21-21-2100000000020-1-1004i4i4i4i−2ii−2ii−2ii−2ii0000000002i0−i−i00-4-4-4-42-12-12-12-1000000000-201100−4i−4i−4i−4i2i−i2i−i2i−i2i−i000000000−2i0ii00
χ464444-21-21-21-21000000000-2011004i4i4i4i−2ii−2ii−2ii−2ii000000000−2i0ii00-4-4-4-42-12-12-12-100000000020-1-100−4i−4i−4i−4i2i−i2i−i2i−i2i−i0000000002i0−i−i00
χ474-44-41-2-121-2-1200000000000003−34i−4i4i−4ii−2i−i2ii−2i−i2i0000000000000i3−i3-44-44-121-2-121-20000000000000−33−4i4i−4i4i−i2ii−2i−i2ii−2i0000000000000−i3i3
χ484-44-41-2-121-2-120000000000000−334i−4i4i−4ii−2i−i2ii−2i−i2i0000000000000−i3i3-44-44-121-2-121-200000000000003−3−4i4i−4i4i−i2ii−2i−i2ii−2i0000000000000i3−i3
χ494-44-4-212-1-212-1000000000003−3004i−4i4i−4i−2ii2i−i−2ii2i−i00000000000i3−i300-44-442-1-212-1-2100000000000−3300−4i4i−4i4i2i−i−2ii2i−i−2ii00000000000−i3i300
χ504-44-4-212-1-212-100000000000−33004i−4i4i−4i−2ii2i−i−2ii2i−i00000000000−i3i300-44-442-1-212-1-21000000000003−300−4i4i−4i4i2i−i−2ii2i−i−2ii00000000000i3−i300
χ5188-4-42-42-4-12-120000000000000008i8i−4i−4i2i−4i2i−4i−i2i−i2i000000000000000-8-844-24-241-21-2000000000000000−8i−8i4i4i−2i4i−2i4ii−2ii−2i000000000000000
χ5288-4-4-42-422-12-10000000000000008i8i−4i−4i−4i2i−4i2i2i−i2i−i000000000000000-8-8444-24-2-21-21000000000000000−8i−8i4i4i4i−2i4i−2i−2ii−2ii000000000000000
χ538-8-442-4-24-121-20000000000000008i−8i−4i4i2i−4i−2i4i−i2ii−2i000000000000000-884-4-242-41-2-12000000000000000−8i8i4i−4i−2i4i2i−4ii−2i−i2i000000000000000
χ548-8-44-424-22-1-210000000000000008i−8i−4i4i−4i2i4i−2i2i−i−2ii000000000000000-884-44-2-42-212-1000000000000000−8i8i4i−4i4i−2i−4i2i−2ii2i−i000000000000000
χ55111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ56111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ571111111111111-1-111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-1111111111111111-1-111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111
χ581111111111111-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-11111111111111-1-111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1
χ59222222222222-200-2-20000000000-2-2-2-2-2-2-2-2-2-2-2-2200220000000000222222222222-200-2-20000000000-2-2-2-2-2-2-2-2-2-2-2-2200220000000000
χ6022-1-12222-1-1-1-1222-1-1-1-1-1-1000000-2-211-2-2-2-21111-2-2-211111100000022-1-12222-1-1-1-1222-1-1-1-1-1-1000000-2-211-2-2-2-21111-2-2-2111111000000
χ6122-1-12222-1-1-1-12-2-2-1-11111000000-2-211-2-2-2-21111-22211-1-1-1-100000022-1-12222-1-1-1-12-2-2-1-11111000000-2-211-2-2-2-21111-22211-1-1-1-1000000
χ6222-1-12222-1-1-1-1-2001133−3−3000000-2-211-2-2-2-21111200-1-1−3−33300000022-1-12222-1-1-1-1-2001133−3−3000000-2-211-2-2-2-21111200-1-1−3−333000000
χ6322-1-12222-1-1-1-1-20011−3−333000000-2-211-2-2-2-21111200-1-133−3−300000022-1-12222-1-1-1-1-20011−3−333000000-2-211-2-2-2-21111200-1-133−3−3000000
χ642-22-222-2-222-2-202−2002−22−2000000-22-22-2-222-2-2220−2200−22−220000002-22-222-2-222-2-202−2002−22−2000000-22-22-2-222-2-2220−2200−22−22000000
χ652-22-222-2-222-2-20−2200−22−22000000-22-22-2-222-2-22202−2002−22−20000002-22-222-2-222-2-20−2200−22−22000000-22-22-2-222-2-22202−2002−22−2000000
χ662-2-1122-2-2-1-11102−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000-221-1-2-22211-1-10−22−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002-2-1122-2-2-1-11102−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000-221-1-2-22211-1-10−22−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000
χ672-2-1122-2-2-1-11102−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000-221-1-2-22211-1-10−223−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002-2-1122-2-2-1-11102−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000-221-1-2-22211-1-10−223−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000
χ682-2-1122-2-2-1-1110−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000-221-1-2-22211-1-102−2−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002-2-1122-2-2-1-1110−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000-221-1-2-22211-1-102−2−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000
χ692-2-1122-2-2-1-1110−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000-221-1-2-22211-1-102−23−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002-2-1122-2-2-1-1110−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000-221-1-2-22211-1-102−23−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000
χ7044441-21-21-21-20000000000200-1-1-4-4-4-4-12-12-12-120000000000-2001144441-21-21-21-20000000000200-1-1-4-4-4-4-12-12-12-120000000000-20011
χ7144441-21-21-21-20000000000-20011-4-4-4-4-12-12-12-120000000000200-1-144441-21-21-21-20000000000-20011-4-4-4-4-12-12-12-120000000000200-1-1
χ724444-21-21-21-2100000000020-1-100-4-4-4-42-12-12-12-1000000000-2011004444-21-21-21-2100000000020-1-100-4-4-4-42-12-12-12-1000000000-201100
χ734444-21-21-21-21000000000-201100-4-4-4-42-12-12-12-100000000020-1-1004444-21-21-21-21000000000-201100-4-4-4-42-12-12-12-100000000020-1-100
χ744-44-41-2-121-2-1200000000000003−3-44-44-121-2-121-20000000000000−334-44-41-2-121-2-1200000000000003−3-44-44-121-2-121-20000000000000−33
χ754-44-41-2-121-2-120000000000000−33-44-44-121-2-121-200000000000003−34-44-41-2-121-2-120000000000000−33-44-44-121-2-121-200000000000003−3
χ764-44-4-212-1-212-1000000000003−300-44-442-1-212-1-2100000000000−33004-44-4-212-1-212-1000000000003−300-44-442-1-212-1-2100000000000−3300
χ774-44-4-212-1-212-100000000000−3300-44-442-1-212-1-21000000000003−3004-44-4-212-1-212-100000000000−3300-44-442-1-212-1-21000000000003−300
χ7888-4-42-42-4-12-12000000000000000-8-844-24-241-21-200000000000000088-4-42-42-4-12-12000000000000000-8-844-24-241-21-2000000000000000
χ7988-4-4-42-422-12-1000000000000000-8-8444-24-2-21-2100000000000000088-4-4-42-422-12-1000000000000000-8-8444-24-2-21-21000000000000000
χ808-8-442-4-24-121-2000000000000000-884-4-242-41-2-120000000000000008-8-442-4-24-121-2000000000000000-884-4-242-41-2-12000000000000000
χ818-8-44-424-22-1-21000000000000000-884-44-2-42-212-10000000000000008-8-44-424-22-1-21000000000000000-884-44-2-42-212-1000000000000000
χ82111111111111111111111111111−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-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiii
χ83111111111111111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i
χ841111111111111-1-111-1-1-1-11-111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiii−ii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-11-1-111iiiiiiiiiiiii−i−iii−i−i−i−ii−iii−i−i
χ851111111111111-1-111-1-1-1-1-11-1-111−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−iiiiii−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-111-1-1iiiiiiiiiiiii−i−iii−i−i−i−i−ii−i−iii
χ86222222222222-200-2-20000000000−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i002i2i0000000000-2-2-2-2-2-2-2-2-2-2-2-22002200000000002i2i2i2i2i2i2i2i2i2i2i2i−2i00−2i−2i0000000000
χ8722-1-12222-1-1-1-1222-1-1-1-1-1-1000000−2i−2iii−2i−2i−2i−2iiiii−2i−2i−2iiiiiii000000-2-211-2-2-2-21111-2-2-21111110000002i2i−i−i2i2i2i2i−i−i−i−i2i2i2i−i−i−i−i−i−i000000
χ8822-1-12222-1-1-1-12-2-2-1-11111000000−2i−2iii−2i−2i−2i−2iiiii−2i2i2iii−i−i−i−i000000-2-211-2-2-2-21111-22211-1-1-1-10000002i2i−i−i2i2i2i2i−i−i−i−i2i−2i−2i−i−iiiii000000
χ8922-1-12222-1-1-1-1-2001133−3−3000000−2i−2iii−2i−2i−2i−2iiiii2i00−i−i−i3−i3i3i3000000-2-211-2-2-2-21111200-1-1−3−3330000002i2i−i−i2i2i2i2i−i−i−i−i−2i00iii3i3−i3−i3000000
χ9022-1-12222-1-1-1-1-20011−3−333000000−2i−2iii−2i−2i−2i−2iiiii2i00−i−ii3i3−i3−i3000000-2-211-2-2-2-21111200-1-133−3−30000002i2i−i−i2i2i2i2i−i−i−i−i−2i00ii−i3−i3i3i3000000
χ912-22-222-2-222-2-202−2002−22−2000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0−i2i200−i2i2−i2i2000000-22-22-2-222-2-2220−2200−22−220000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0i2−i200i2−i2i2−i2000000
χ922-22-222-2-222-2-20−2200−22−22000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0i2−i200i2−i2i2−i2000000-22-22-2-222-2-22202−2002−22−20000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0−i2i200−i2i2−i2i2000000
χ932-2-1122-2-2-1-11102−23−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000−2i2ii−i−2i−2i2i2iii−i−i0−i2i2−i3i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000-221-1-2-22211-1-10−22−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000002i−2i−ii2i2i−2i−2i−i−iii0i2−i2i3−i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000
χ942-2-1122-2-2-1-11102−2−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000−2i2ii−i−2i−2i2i2iii−i−i0−i2i2i3−i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000-221-1-2-22211-1-10−223−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000002i−2i−ii2i2i−2i−2i−i−iii0i2−i2−i3i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000
χ952-2-1122-2-2-1-1110−223−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000−2i2ii−i−2i−2i2i2iii−i−i0i2−i2−i3i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000-221-1-2-22211-1-102−2−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000002i−2i−ii2i2i−2i−2i−i−iii0−i2i2i3−i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000
χ962-2-1122-2-2-1-1110−22−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000−2i2ii−i−2i−2i2i2iii−i−i0i2−i2i3−i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000-221-1-2-22211-1-102−23−3ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000002i−2i−ii2i2i−2i−2i−i−iii0−i2i2−i3i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000
χ9744441-21-21-21-20000000000200-1-1−4i−4i−4i−4i−i2i−i2i−i2i−i2i0000000000−2i00ii-4-4-4-4-12-12-12-120000000000-200114i4i4i4ii−2ii−2ii−2ii−2i00000000002i00−i−i
χ9844441-21-21-21-20000000000-20011−4i−4i−4i−4i−i2i−i2i−i2i−i2i00000000002i00−i−i-4-4-4-4-12-12-12-120000000000200-1-14i4i4i4ii−2ii−2ii−2ii−2i0000000000−2i00ii
χ994444-21-21-21-2100000000020-1-100−4i−4i−4i−4i2i−i2i−i2i−i2i−i000000000−2i0ii00-4-4-4-42-12-12-12-1000000000-2011004i4i4i4i−2ii−2ii−2ii−2ii0000000002i0−i−i00
χ1004444-21-21-21-21000000000-201100−4i−4i−4i−4i2i−i2i−i2i−i2i−i0000000002i0−i−i00-4-4-4-42-12-12-12-100000000020-1-1004i4i4i4i−2ii−2ii−2ii−2ii000000000−2i0ii00
χ1014-44-41-2-121-2-1200000000000003−3−4i4i−4i4i−i2ii−2i−i2ii−2i0000000000000−i3i3-44-44-121-2-121-20000000000000−334i−4i4i−4ii−2i−i2ii−2i−i2i0000000000000i3−i3
χ1024-44-41-2-121-2-120000000000000−33−4i4i−4i4i−i2ii−2i−i2ii−2i0000000000000i3−i3-44-44-121-2-121-200000000000003−34i−4i4i−4ii−2i−i2ii−2i−i2i0000000000000−i3i3
χ1034-44-4-212-1-212-1000000000003−300−4i4i−4i4i2i−i−2ii2i−i−2ii00000000000−i3i300-44-442-1-212-1-2100000000000−33004i−4i4i−4i−2ii2i−i−2ii2i−i00000000000i3−i300
χ1044-44-4-212-1-212-100000000000−3300−4i4i−4i4i2i−i−2ii2i−i−2ii00000000000i3−i300-44-442-1-212-1-21000000000003−3004i−4i4i−4i−2ii2i−i−2ii2i−i00000000000−i3i300
χ10588-4-42-42-4-12-12000000000000000−8i−8i4i4i−2i4i−2i4ii−2ii−2i000000000000000-8-844-24-241-21-20000000000000008i8i−4i−4i2i−4i2i−4i−i2i−i2i000000000000000
χ10688-4-4-42-422-12-1000000000000000−8i−8i4i4i4i−2i4i−2i−2ii−2ii000000000000000-8-8444-24-2-21-210000000000000008i8i−4i−4i−4i2i−4i2i2i−i2i−i000000000000000
χ1078-8-442-4-24-121-2000000000000000−8i8i4i−4i−2i4i2i−4ii−2i−i2i000000000000000-884-4-242-41-2-120000000000000008i−8i−4i4i2i−4i−2i4i−i2ii−2i000000000000000
χ1088-8-44-424-22-1-21000000000000000−8i8i4i−4i4i−2i−4i2i−2ii2i−i000000000000000-884-44-2-42-212-10000000000000008i−8i−4i4i−4i2i4i−2i2i−i−2ii000000000000000

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