Finite Group Databasebeta

← Group #13157083

Character table — Group #13157083

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111144444444488888888888881818181836363636363636367211114444444448888888888888181818183636363636363636721111444444444888888888888818181818363636363636363672
order12223346666664121212121212121212121212224444448888436663312666666121212121212121212121212126612121212121224242424123666331266666612121212121212121212121212661212121212122424242412
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
χ311111111111111111111111111-1-1-1-1ii−i−iii−i−i-111111111111111111111111111-1-1-1-1ii−i−iii−i−i-111111111111111111111111111-1-1-1-1ii−i−iii−i−i-1
χ411111111111111111111111111-1-1-1-1−i−iii−i−iii-111111111111111111111111111-1-1-1-1−i−iii−i−iii-111111111111111111111111111-1-1-1-1−i−iii−i−iii-1
χ51111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1
χ61111111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11111111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11111111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1
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
χ9222222-22222220-2-2-2-20000000022-2-2000000000222222-22222220-2-2-2-20000000022-2-2000000000222222-22222220-2-2-2-20000000022-2-2000000000
χ10222222-22222220-2-2-2-200000000-2-222000000000222222-22222220-2-2-2-200000000-2-222000000000222222-22222220-2-2-2-200000000-2-222000000000
χ1122-2-222022-2-2-2-200000000000002-20000002−22−2022-2-222022-2-2-2-200000000000002-20000002−22−2022-2-222022-2-2-2-200000000000002-20000002−22−20
χ1222-2-222022-2-2-2-200000000000002-2000000−22−22022-2-222022-2-2-2-200000000000002-2000000−22−22022-2-222022-2-2-2-200000000000002-2000000−22−220
χ1322-2-222022-2-2-2-20000000000000-22000000−i2i2i2−i2022-2-222022-2-2-2-20000000000000-22000000−i2i2i2−i2022-2-222022-2-2-2-20000000000000-22000000−i2i2i2−i20
χ1422-2-222022-2-2-2-20000000000000-22000000i2−i2−i2i2022-2-222022-2-2-2-20000000000000-22000000i2−i2−i2i2022-2-222022-2-2-2-20000000000000-22000000i2−i2−i2i20
χ152-22-2220-2-2-2-2220000000000000002i−2i1+i−1−i1−i−1+i000002-22-2220-2-2-2-2220000000000000002i−2i1+i−1−i1−i−1+i000002-22-2220-2-2-2-2220000000000000002i−2i1+i−1−i1−i−1+i00000
χ162-22-2220-2-2-2-2220000000000000002i−2i−1−i1+i−1+i1−i000002-22-2220-2-2-2-2220000000000000002i−2i−1−i1+i−1+i1−i000002-22-2220-2-2-2-2220000000000000002i−2i−1−i1+i−1+i1−i00000
χ172-22-2220-2-2-2-222000000000000000−2i2i1−i−1+i1+i−1−i000002-22-2220-2-2-2-222000000000000000−2i2i1−i−1+i1+i−1−i000002-22-2220-2-2-2-222000000000000000−2i2i1−i−1+i1+i−1−i00000
χ182-22-2220-2-2-2-222000000000000000−2i2i−1+i1−i−1−i1+i000002-22-2220-2-2-2-222000000000000000−2i2i−1+i1−i−1−i1+i000002-22-2220-2-2-2-222000000000000000−2i2i−1+i1−i−1−i1+i00000
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
χ274-4-441-20-121-2-1203-3003−33−30023−2300000000000004-4-441-20-121-2-1203-3003−33−30023−2300000000000004-4-441-20-121-2-1203-3003−33−30023−230000000000000
χ284-4-441-20-121-2-1203-300−33−3300−232300000000000004-4-441-20-121-2-1203-300−33−3300−232300000000000004-4-441-20-121-2-1203-300−33−3300−23230000000000000
χ294-4-441-20-121-2-120-33003−3−3323−230000000000000004-4-441-20-121-2-120-33003−3−3323−230000000000000004-4-441-20-121-2-120-33003−3−3323−23000000000000000
χ304-4-441-20-121-2-120-3300−333−3−23230000000000000004-4-441-20-121-2-120-3300−333−3−23230000000000000004-4-441-20-121-2-120-3300−333−3−2323000000000000000
χ314-4-44440-4-444-4-4000000000000000000000000004-4-44440-4-444-4-4000000000000000000000000004-4-44440-4-444-4-400000000000000000000000000
χ324-4-44-2102-1-212-10003-30023−233−3−3300000000000004-4-44-2102-1-212-10003-30023−233−3−3300000000000004-4-44-2102-1-212-10003-30023−233−3−330000000000000
χ334-4-44-2102-1-212-10003-300−2323−333−300000000000004-4-44-2102-1-212-10003-300−2323−333−300000000000004-4-44-2102-1-212-10003-300−2323−333−30000000000000
χ344-4-44-2102-1-212-1000-3323−2300−33−3300000000000004-4-44-2102-1-212-1000-3323−2300−33−3300000000000004-4-44-2102-1-212-1000-3323−2300−33−330000000000000
χ354-4-44-2102-1-212-1000-33−2323003−33−300000000000004-4-44-2102-1-212-1000-33−2323003−33−300000000000004-4-44-2102-1-212-1000-33−2323003−33−30000000000000
χ3688-8-82-402-4-24-240000000000000000000000000088-8-82-402-4-24-240000000000000000000000000088-8-82-402-4-24-2400000000000000000000000000
χ3788-8-8-420-424-24-20000000000000000000000000088-8-8-420-424-24-20000000000000000000000000088-8-8-420-424-24-200000000000000000000000000
χ388-88-82-40-24-242-4000000000000000000000000008-88-82-40-24-242-4000000000000000000000000008-88-82-40-24-242-400000000000000000000000000
χ398-88-8-4204-24-2-42000000000000000000000000008-88-8-4204-24-2-42000000000000000000000000008-88-8-4204-24-2-4200000000000000000000000000
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
χ4211111111111111111111111111-1-1-1-1ii−i−iii−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−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−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+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221+i32
χ4311111111111111111111111111-1-1-1-1−i−iii−i−iii-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−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141−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−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221+i32
χ441111111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1−1+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+i32−1+i32−1+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−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−i32−1−i32−1−i321+i321+i321+i321+i321+i32
χ451111111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1−1+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−i321−i321−i32−1+i32−1+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+i321+i321+i32−1−i32−1−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
χ48222222-22222220-2-2-2-20000000022-2-2000000000−1+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+i3−1+i31−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−i3−1−i31+i31+i3000000000
χ49222222-22222220-2-2-2-200000000-2-222000000000−1+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−i31−i3−1+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+i31+i3−1−i3−1−i3000000000
χ5022-2-222022-2-2-2-200000000000002-20000002−22−20−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000−1+i31−i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000−1−i31+i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130
χ5122-2-222022-2-2-2-200000000000002-2000000−22−220−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000−1+i31−i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000−1−i31+i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130
χ5222-2-222022-2-2-2-20000000000000-22000000−i2i2i2−i20−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300000000000001−i3−1+i3000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300000000000001+i3−1−i3000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130
χ5322-2-222022-2-2-2-20000000000000-22000000i2−i2−i2i20−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300000000000001−i3−1+i3000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300000000000001+i3−1−i3000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130
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χ861111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1−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−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1−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−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−1+i32
χ87222222-22222220-2-2-2-20000000022-2-2000000000−1−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−i3−1−i31+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+i3−1+i31−i31−i3000000000
χ88222222-22222220-2-2-2-200000000-2-222000000000−1−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+i31+i3−1−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−i31−i3−1+i3−1+i3000000000
χ8922-2-222022-2-2-2-200000000000002-20000002−22−20−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000−1−i31+i3000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000−1+i31−i3000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230
χ9022-2-222022-2-2-2-200000000000002-2000000−22−220−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000000000000−1−i31+i3000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000000000000−1+i31−i3000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230
χ9122-2-222022-2-2-2-20000000000000-22000000−i2i2i2−i20−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300000000000001+i3−1−i3000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ130−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300000000000001−i3−1+i3000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ230
χ9222-2-222022-2-2-2-20000000000000-22000000i2−i2−i2i20−1−i3−1−i31+i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300000000000001+i3−1−i3000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ130−1+i3−1+i31−i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300000000000001−i3−1+i3000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ230
χ932-22-2220-2-2-2-2220000000000000002i−2i1+i−1−i1−i−1+i00000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i30000000000000002ζ22−2ζ22−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ2200000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i30000000000000002ζ14−2ζ14ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ2000000
χ942-22-2220-2-2-2-2220000000000000002i−2i−1−i1+i−1+i1−i00000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i30000000000000002ζ22−2ζ22ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ2200000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i30000000000000002ζ14−2ζ14−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ2000000
χ952-22-2220-2-2-2-222000000000000000−2i2i1−i−1+i1+i−1−i00000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i3000000000000000−2ζ222ζ22−ζ4−ζ22ζ4+ζ22−ζ4+ζ22ζ4−ζ2200000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i3000000000000000−2ζ142ζ14−ζ14−ζ20ζ14+ζ20ζ14−ζ20−ζ14+ζ2000000
χ962-22-2220-2-2-2-222000000000000000−2i2i−1+i1−i−1−i1+i00000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i3000000000000000−2ζ222ζ22ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ2200000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i3000000000000000−2ζ142ζ14ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ2000000
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
χ1054-4-441-20-121-2-1203-3003−33−30023−230000000000000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i30−3−3i323+3i32002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22004ζ14+2ζ22−4ζ14−2ζ220000000000000−2+2i32−2i32−2i3−2+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
χ1064-4-441-20-121-2-1203-300−33−3300−23230000000000000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i30−3−3i323+3i3200−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ2200−4ζ14−2ζ224ζ14+2ζ220000000000000−2+2i32−2i32−2i3−2+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
χ1074-4-441-20-121-2-120-33003−3−3323−23000000000000000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i303+3i32−3−3i32002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ224ζ14+2ζ22−4ζ14−2ζ22000000000000000−2+2i32−2i32−2i3−2+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
χ1084-4-441-20-121-2-120-3300−333−3−2323000000000000000−2−2i32+2i32+2i3−2−2i3−1−i321+i301+i32−1−i3−1−i321+i31+i32−1−i303+3i32−3−3i3200−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−4ζ14−2ζ224ζ14+2ζ22000000000000000−2+2i32−2i32−2i3−2+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
χ1094-4-44440-4-444-4-400000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i302+2i32+2i3−2−2i3−2−2i32+2i32+2i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i302−2i32−2i3−2+2i3−2+2i32−2i32−2i300000000000000000000000000
χ1104-4-44-2102-1-212-10003-30023−233−3−330000000000000−2−2i32+2i32+2i3−2−2i31+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+2i32−2i32−2i3−2+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
χ1114-4-44-2102-1-212-10003-300−2323−333−30000000000000−2−2i32+2i32+2i3−2−2i31+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+2i32−2i32−2i3−2+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
χ1124-4-44-2102-1-212-1000-3323−2300−33−330000000000000−2−2i32+2i32+2i3−2−2i31+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+2i32−2i32−2i3−2+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
χ1134-4-44-2102-1-212-1000-33−2323003−33−30000000000000−2−2i32+2i32+2i3−2−2i31+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+2i32−2i32−2i3−2+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
χ11488-8-82-402-4-24-2400000000000000000000000000−4−4i3−4−4i34+4i34+4i3−1−i32+2i30−1−i32+2i31+i3−2−2i31+i3−2−2i300000000000000000000000000−4+4i3−4+4i34−4i34−4i3−1+i32−2i30−1+i32−2i31−i3−2+2i31−i3−2+2i300000000000000000000000000
χ11588-8-8-420-424-24-200000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i3−1−i302+2i3−1−i3−2−2i31+i3−2−2i31+i300000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i3−1+i302−2i3−1+i3−2+2i31−i3−2+2i31−i300000000000000000000000000
χ1168-88-82-40-24-242-400000000000000000000000000−4−4i34+4i3−4−4i34+4i3−1−i32+2i301+i3−2−2i31+i3−2−2i3−1−i32+2i300000000000000000000000000−4+4i34−4i3−4+4i34−4i3−1+i32−2i301−i3−2+2i31−i3−2+2i3−1+i32−2i300000000000000000000000000
χ1178-88-8-4204-24-2-4200000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i30−2−2i31+i3−2−2i31+i32+2i3−1−i300000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+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.