Finite Group Databasebeta

← Group #13157086

Character table — Group #13157086

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111144444444488888888888881818181836363636363636367211114444444448888888888888181818183636363636363636721111444444444888888888888818181818363636363636363672
order122233466666641212121212121212121212124444888888884366633126666661212121212121212121212121212121212242424242424242412366633126666661212121212121212121212121212121212242424242424242412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11
χ311111111111111111111111111-1-1-1-1iiii−i−i−i−i-111111111111111111111111111-1-1-1-1iiii−i−i−i−i-111111111111111111111111111-1-1-1-1iiii−i−i−i−i-1
χ411111111111111111111111111-1-1-1-1−i−i−i−iiiii-111111111111111111111111111-1-1-1-1−i−i−i−iiiii-111111111111111111111111111-1-1-1-1−i−i−i−iiiii-1
χ51111111111111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11111111111111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11111111111111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1
χ61111111111111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11111111111111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11111111111111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1
χ71111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii1
χ81111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i11111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i1
χ9222222-22222220-2-2-2-2000000002-22-2000000000222222-22222220-2-2-2-2000000002-22-2000000000222222-22222220-2-2-2-2000000002-22-2000000000
χ10222222-22222220-2-2-2-200000000-22-22000000000222222-22222220-2-2-2-200000000-22-22000000000222222-22222220-2-2-2-200000000-22-22000000000
χ112-22-222022-2-2-2-2000000000000020-20002−2002−202-22-222022-2-2-2-2000000000000020-20002−2002−202-22-222022-2-2-2-2000000000000020-20002−2002−20
χ122-22-222022-2-2-2-2000000000000020-2000−2200−2202-22-222022-2-2-2-2000000000000020-2000−2200−2202-22-222022-2-2-2-2000000000000020-2000−2200−220
χ132-22-222022-2-2-2-20000000000000-202000−i2i200i2−i202-22-222022-2-2-2-20000000000000-202000−i2i200i2−i202-22-222022-2-2-2-20000000000000-202000−i2i200i2−i20
χ142-22-222022-2-2-2-20000000000000-202000i2−i200−i2i202-22-222022-2-2-2-20000000000000-202000i2−i200−i2i202-22-222022-2-2-2-20000000000000-202000i2−i200−i2i20
χ152-2-22220-2-2-2-2220000000000000020-2−i2i200−i2i20002-2-22220-2-2-2-2220000000000000020-2−i2i200−i2i20002-2-22220-2-2-2-2220000000000000020-2−i2i200−i2i2000
χ162-2-22220-2-2-2-2220000000000000020-2i2−i200i2−i20002-2-22220-2-2-2-2220000000000000020-2i2−i200i2−i20002-2-22220-2-2-2-2220000000000000020-2i2−i200i2−i2000
χ172-2-22220-2-2-2-22200000000000000-2022−200−220002-2-22220-2-2-2-22200000000000000-2022−200−220002-2-22220-2-2-2-22200000000000000-2022−200−22000
χ182-2-22220-2-2-2-22200000000000000-202−22002−20002-2-22220-2-2-2-22200000000000000-202−22002−20002-2-22220-2-2-2-22200000000000000-202−22002−2000
χ1944441-241-21-21-2411-2-21111-2-2-2-2000000000000044441-241-21-21-2411-2-21111-2-2-2-2000000000000044441-241-21-21-2411-2-21111-2-2-2-20000000000000
χ2044441-241-21-21-2-411-2-2-1-1-1-12222000000000000044441-241-21-21-2-411-2-2-1-1-1-12222000000000000044441-241-21-21-2-411-2-2-1-1-1-122220000000000000
χ2144441-2-41-21-21-20-1-12233-3-30000000000000000044441-2-41-21-21-20-1-12233-3-30000000000000000044441-2-41-21-21-20-1-12233-3-300000000000000000
χ2244441-2-41-21-21-20-1-122-3-3330000000000000000044441-2-41-21-21-20-1-122-3-3330000000000000000044441-2-41-21-21-20-1-122-3-33300000000000000000
χ234444-214-21-21-214-2-211-2-2-2-2111100000000000004444-214-21-21-214-2-211-2-2-2-2111100000000000004444-214-21-21-214-2-211-2-2-2-211110000000000000
χ244444-214-21-21-21-4-2-2112222-1-1-1-100000000000004444-214-21-21-21-4-2-2112222-1-1-1-100000000000004444-214-21-21-21-4-2-2112222-1-1-1-10000000000000
χ254444-21-4-21-21-21022-1-1000033-3-300000000000004444-21-4-21-21-21022-1-1000033-3-300000000000004444-21-4-21-21-21022-1-1000033-3-30000000000000
χ264444-21-4-21-21-21022-1-10000-3-33300000000000004444-21-4-21-21-21022-1-10000-3-33300000000000004444-21-4-21-21-21022-1-10000-3-3330000000000000
χ2744-4-41-20-121-2-1203-3003−33−30023−23000000000000044-4-41-20-121-2-1203-3003−33−30023−23000000000000044-4-41-20-121-2-1203-3003−33−30023−230000000000000
χ2844-4-41-20-121-2-1203-300−33−3300−2323000000000000044-4-41-20-121-2-1203-300−33−3300−2323000000000000044-4-41-20-121-2-1203-300−33−3300−23230000000000000
χ2944-4-41-20-121-2-120-33003−3−3323−2300000000000000044-4-41-20-121-2-120-33003−3−3323−2300000000000000044-4-41-20-121-2-120-33003−3−3323−23000000000000000
χ3044-4-41-20-121-2-120-3300−333−3−232300000000000000044-4-41-20-121-2-120-3300−333−3−232300000000000000044-4-41-20-121-2-120-3300−333−3−2323000000000000000
χ3144-4-4440-4-444-4-40000000000000000000000000044-4-4440-4-444-4-40000000000000000000000000044-4-4440-4-444-4-400000000000000000000000000
χ3244-4-4-2102-1-212-10003-30023−233−3−33000000000000044-4-4-2102-1-212-10003-30023−233−3−33000000000000044-4-4-2102-1-212-10003-30023−233−3−330000000000000
χ3344-4-4-2102-1-212-10003-300−2323−333−3000000000000044-4-4-2102-1-212-10003-300−2323−333−3000000000000044-4-4-2102-1-212-10003-300−2323−333−30000000000000
χ3444-4-4-2102-1-212-1000-3323−2300−33−33000000000000044-4-4-2102-1-212-1000-3323−2300−33−33000000000000044-4-4-2102-1-212-1000-3323−2300−33−330000000000000
χ3544-4-4-2102-1-212-1000-33−2323003−33−3000000000000044-4-4-2102-1-212-1000-33−2323003−33−3000000000000044-4-4-2102-1-212-1000-33−2323003−33−30000000000000
χ368-88-82-402-4-24-24000000000000000000000000008-88-82-402-4-24-24000000000000000000000000008-88-82-402-4-24-2400000000000000000000000000
χ378-88-8-420-424-24-2000000000000000000000000008-88-8-420-424-24-2000000000000000000000000008-88-8-420-424-24-200000000000000000000000000
χ388-8-882-40-24-242-4000000000000000000000000008-8-882-40-24-242-4000000000000000000000000008-8-882-40-24-242-400000000000000000000000000
χ398-8-88-4204-24-2-42000000000000000000000000008-8-88-4204-24-2-42000000000000000000000000008-8-88-4204-24-2-4200000000000000000000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32
χ4211111111111111111111111111-1-1-1-1iiii−i−i−i−i-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i32
χ4311111111111111111111111111-1-1-1-1−i−i−i−iiiii-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i32
χ441111111111111-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32
χ451111111111111-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32
χ461111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1−i32
χ471111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−i32
χ48222222-22222220-2-2-2-2000000002-22-2000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i301−i31−i31−i31−i300000000−1+i31−i3−1+i31−i3000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i301+i31+i31+i31+i300000000−1−i31+i3−1−i31+i3000000000
χ49222222-22222220-2-2-2-200000000-22-22000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i301−i31−i31−i31−i3000000001−i3−1+i31−i3−1+i3000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i301+i31+i31+i31+i3000000001+i3−1−i31+i3−1−i3000000000
χ502-22-222022-2-2-2-2000000000000020-20002−2002−20−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000−1+i301−i3000ζ5−ζ23−ζ5+ζ2300ζ5−ζ23−ζ5+ζ230−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000−1−i301+i3000−ζ7+ζ13ζ7−ζ1300−ζ7+ζ13ζ7−ζ130
χ512-22-222022-2-2-2-2000000000000020-2000−2200−220−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000−1+i301−i3000−ζ5+ζ23ζ5−ζ2300−ζ5+ζ23ζ5−ζ230−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000−1−i301+i3000ζ7−ζ13−ζ7+ζ1300ζ7−ζ13−ζ7+ζ130
χ522-22-222022-2-2-2-20000000000000-202000−i2i200i2−i20−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300000000000001−i30−1+i3000ζ5+ζ23−ζ5−ζ2300−ζ5−ζ23ζ5+ζ230−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300000000000001+i30−1−i3000ζ7+ζ13−ζ7−ζ1300−ζ7−ζ13ζ7+ζ130
χ532-22-222022-2-2-2-20000000000000-202000i2−i200−i2i20−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300000000000001−i30−1+i3000−ζ5−ζ23ζ5+ζ2300ζ5+ζ23−ζ5−ζ230−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300000000000001+i30−1−i3000−ζ7−ζ13ζ7+ζ1300ζ7+ζ13−ζ7−ζ130
χ542-2-22220-2-2-2-2220000000000000020-2−i2i200−i2i2000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i300000000000000−1+i301−i3ζ5+ζ23−ζ5−ζ2300ζ5+ζ23−ζ5−ζ23000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i300000000000000−1−i301+i3ζ7+ζ13−ζ7−ζ1300ζ7+ζ13−ζ7−ζ13000
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χ87222222-22222220-2-2-2-2000000002-22-2000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i301+i31+i31+i31+i300000000−1−i31+i3−1−i31+i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i301−i31−i31−i31−i300000000−1+i31−i3−1+i31−i3000000000
χ88222222-22222220-2-2-2-200000000-22-22000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i301+i31+i31+i31+i3000000001+i3−1−i31+i3−1−i3000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i301−i31−i31−i31−i3000000001−i3−1+i31−i3−1+i3000000000
χ892-22-222022-2-2-2-2000000000000020-20002−2002−20−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000−1−i301+i3000−ζ7+ζ13ζ7−ζ1300−ζ7+ζ13ζ7−ζ130−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000−1+i301−i3000ζ5−ζ23−ζ5+ζ2300ζ5−ζ23−ζ5+ζ230
χ902-22-222022-2-2-2-2000000000000020-2000−2200−220−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000−1−i301+i3000ζ7−ζ13−ζ7+ζ1300ζ7−ζ13−ζ7+ζ130−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000−1+i301−i3000−ζ5+ζ23ζ5−ζ2300−ζ5+ζ23ζ5−ζ230
χ912-22-222022-2-2-2-20000000000000-202000−i2i200i2−i20−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300000000000001+i30−1−i3000ζ7+ζ13−ζ7−ζ1300−ζ7−ζ13ζ7+ζ130−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300000000000001−i30−1+i3000ζ5+ζ23−ζ5−ζ2300−ζ5−ζ23ζ5+ζ230
χ922-22-222022-2-2-2-20000000000000-202000i2−i200−i2i20−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300000000000001+i30−1−i3000−ζ7−ζ13ζ7+ζ1300ζ7+ζ13−ζ7−ζ130−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300000000000001−i30−1+i3000−ζ5−ζ23ζ5+ζ2300ζ5+ζ23−ζ5−ζ230
χ932-2-22220-2-2-2-2220000000000000020-2−i2i200−i2i2000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i300000000000000−1−i301+i3ζ7+ζ13−ζ7−ζ1300ζ7+ζ13−ζ7−ζ13000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i300000000000000−1+i301−i3ζ5+ζ23−ζ5−ζ2300ζ5+ζ23−ζ5−ζ23000
χ942-2-22220-2-2-2-2220000000000000020-2i2−i200i2−i2000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i300000000000000−1−i301+i3−ζ7−ζ13ζ7+ζ1300−ζ7−ζ13ζ7+ζ13000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i300000000000000−1+i301−i3−ζ5−ζ23ζ5+ζ2300−ζ5−ζ23ζ5+ζ23000
χ952-2-22220-2-2-2-22200000000000000-2022−200−22000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i3000000000000001+i30−1−i3−ζ7+ζ13ζ7−ζ1300ζ7−ζ13−ζ7+ζ13000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i3000000000000001−i30−1+i3ζ5−ζ23−ζ5+ζ2300−ζ5+ζ23ζ5−ζ23000
χ962-2-22220-2-2-2-22200000000000000-202−22002−2000−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i3000000000000001+i30−1−i3ζ7−ζ13−ζ7+ζ1300−ζ7+ζ13ζ7−ζ13000−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i3000000000000001−i30−1+i3−ζ5+ζ23ζ5−ζ2300ζ5−ζ23−ζ5+ζ23000
χ9744441-241-21-21-2411-2-21111-2-2-2-20000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−2−2i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i321+i31+i31+i31+i30000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−2+2i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i321−i31−i31−i31−i30000000000000
χ9844441-241-21-21-2-411-2-2-1-1-1-122220000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i32+2i3−1−i32−1−i321+i31+i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i30000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i32−2i3−1+i32−1+i321−i31−i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i30000000000000
χ9944441-2-41-21-21-20-1-12233-3-300000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i3−1−i321+i301+i321+i32−1−i3−1−i3−3−3i32−3−3i323+3i323+3i3200000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i3−1+i321−i3−1+i321−i301−i321−i32−1+i3−1+i3−3+3i32−3+3i323−3i323−3i3200000000000000000
χ10044441-2-41-21-21-20-1-122-3-33300000000000000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i3−1−i321+i301+i321+i32−1−i3−1−i33+3i323+3i32−3−3i32−3−3i3200000000000000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i3−1+i321−i3−1+i321−i301−i321−i32−1+i3−1+i33−3i323−3i32−3+3i32−3+3i3200000000000000000
χ1014444-214-21-21-214-2-211-2-2-2-211110000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32−2−2i31+i31+i3−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32−2+2i31−i31−i3−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000000000000
χ1024444-214-21-21-21-4-2-2112222-1-1-1-10000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i321+i3−1−i322+2i31+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i321−i3−1+i322−2i31−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000000000000
χ1034444-21-4-21-21-21022-1-1000033-3-30000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i321+i3−1−i320−1−i3−1−i31+i321+i320000−3−3i32−3−3i323+3i323+3i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i321−i3−1+i321−i3−1+i320−1+i3−1+i31−i321−i320000−3+3i32−3+3i323−3i323−3i320000000000000
χ1044444-21-4-21-21-21022-1-10000-3-3330000000000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i321+i3−1−i320−1−i3−1−i31+i321+i3200003+3i323+3i32−3−3i32−3−3i320000000000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i321−i3−1+i321−i3−1+i320−1+i3−1+i31−i321−i3200003−3i323−3i32−3+3i32−3+3i320000000000000
χ10544-4-41-20-121-2-1203-3003−33−30023−230000000000000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i30−3−3i323+3i32002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22004ζ14+2ζ22−4ζ14−2ζ220000000000000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i31−i32−1+i30−3+3i323−3i3200−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ2200−2ζ14−4ζ222ζ14+4ζ220000000000000
χ10644-4-41-20-121-2-1203-300−33−3300−23230000000000000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i30−3−3i323+3i3200−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ2200−4ζ14−2ζ224ζ14+2ζ220000000000000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i31−i32−1+i30−3+3i323−3i3200ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22002ζ14+4ζ22−2ζ14−4ζ220000000000000
χ10744-4-41-20-121-2-120-33003−3−3323−23000000000000000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i303+3i32−3−3i32002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ224ζ14+2ζ22−4ζ14−2ζ22000000000000000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i31−i32−1+i303−3i32−3+3i3200−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−4ζ222ζ14+4ζ22000000000000000
χ10844-4-41-20-121-2-120-3300−333−3−2323000000000000000−2−2i3−2−2i32+2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i303+3i32−3−3i3200−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−4ζ14−2ζ224ζ14+2ζ22000000000000000−2+2i3−2+2i32−2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i31−i32−1+i303−3i32−3+3i3200ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+4ζ22−2ζ14−4ζ22000000000000000
χ10944-4-4440-4-444-4-400000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i302+2i32+2i3−2−2i3−2−2i32+2i32+2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i302−2i32−2i3−2+2i3−2+2i32−2i32−2i300000000000000000000000000
χ11044-4-4-2102-1-212-10003-30023−233−3−330000000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i3−1−i32−1−i31+i32000−3−3i323+3i32004ζ14+2ζ22−4ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ220000000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i3−1+i32−1+i31−i32000−3+3i323−3i3200−2ζ14−4ζ222ζ14+4ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ220000000000000
χ11144-4-4-2102-1-212-10003-300−2323−333−30000000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i3−1−i32−1−i31+i32000−3−3i323+3i3200−4ζ14−2ζ224ζ14+2ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i3−1+i32−1+i31−i32000−3+3i323−3i32002ζ14+4ζ22−2ζ14−4ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000000000000
χ11244-4-4-2102-1-212-1000-3323−2300−33−330000000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i3−1−i32−1−i31+i320003+3i32−3−3i324ζ14+2ζ22−4ζ14−2ζ2200−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i3−1+i32−1+i31−i320003−3i32−3+3i32−2ζ14−4ζ222ζ14+4ζ2200ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000000000000
χ11344-4-4-2102-1-212-1000-33−2323003−33−30000000000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i3−1−i32−1−i31+i320003+3i32−3−3i32−4ζ14−2ζ224ζ14+2ζ22002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220000000000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i3−1+i32−1+i31−i320003−3i32−3+3i322ζ14+4ζ22−2ζ14−4ζ2200−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220000000000000
χ1148-88-82-402-4-24-2400000000000000000000000000−4−4i34+4i3−4−4i34+4i3−1−i32+2i30−1−i32+2i31+i3−2−2i31+i3−2−2i300000000000000000000000000−4+4i34−4i3−4+4i34−4i3−1+i32−2i30−1+i32−2i31−i3−2+2i31−i3−2+2i300000000000000000000000000
χ1158-88-8-420-424-24-200000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i302+2i3−1−i3−2−2i31+i3−2−2i31+i300000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i302−2i3−1+i3−2+2i31−i3−2+2i31−i300000000000000000000000000
χ1168-8-882-40-24-242-400000000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i301+i3−2−2i31+i3−2−2i3−1−i32+2i300000000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i301−i3−2+2i31−i3−2+2i3−1+i32−2i300000000000000000000000000
χ1178-8-88-4204-24-2-4200000000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i3−1−i30−2−2i31+i3−2−2i31+i32+2i3−1−i300000000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i3−1+i30−2+2i31−i3−2+2i31−i32−2i3−1+i300000000000000000000000000

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