Finite Group Databasebeta

← Group #13166787

Character table — Group #13166787

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111144444444488881212121218181818242424242424242424243636363611114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order1222334666666121212122244444422666666121288883666331266666612121212661212121212126666666612122424242436663312666666121212126612121212121266666666121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-1-1-111-1-1-1-11111111111111111111111111-1-111-1-1-1-111-1-1-1-11111111111111111111111111-1-111-1-1-1-111-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ411111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ5111111-1111111-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-1111111-1111111-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-1111111-1111111-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-1
χ6111111-1111111-1-1-1-111-1-11-1-11-1111-1-111-1-1-1-111111111-1111111-1-1-1-111-1-11-1-11-1111-1-111-1-1-1-111111111-1111111-1-1-1-111-1-11-1-11-1111-1-111-1-1-1-111
χ7111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111
χ8111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-20000-222-200000000000000222222-2222222-2-2-2-20000-222-200000000000000222222-2222222-2-2-2-20000-222-200000000000000
χ112-22-222022-2-2-2-20000002i−2i200-2000000002i−2i00002-22-222022-2-2-2-20000002i−2i200-2000000002i−2i00002-22-222022-2-2-2-20000002i−2i200-2000000002i−2i0000
χ122-22-222022-2-2-2-2000000−2i2i200-200000000−2i2i00002-22-222022-2-2-2-2000000−2i2i200-200000000−2i2i00002-22-222022-2-2-2-2000000−2i2i200-200000000−2i2i0000
χ132-22-222022-2-2-2-200002-200-2002002-200000000002-22-222022-2-2-2-200002-200-2002002-200000000002-22-222022-2-2-2-200002-200-2002002-20000000000
χ142-22-222022-2-2-2-20000-2200-200200-2200000000002-22-222022-2-2-2-20000-2200-200200-2200000000002-22-222022-2-2-2-20000-2200-200200-220000000000
χ152-2-22220-2-22-2-220000000002-2000000000002−22−22-2-22220-2-22-2-220000000002-2000000000002−22−22-2-22220-2-22-2-220000000002-2000000000002−22−2
χ162-2-22220-2-22-2-220000000002-200000000000−22−222-2-22220-2-22-2-220000000002-200000000000−22−222-2-22220-2-22-2-220000000002-200000000000−22−22
χ172-2-22220-2-22-2-22000000000-22000000000002−2−222-2-22220-2-22-2-22000000000-22000000000002−2−222-2-22220-2-22-2-22000000000-22000000000002−2−22
χ182-2-22220-2-22-2-22000000000-2200000000000−222−22-2-22220-2-22-2-22000000000-2200000000000−222−22-2-22220-2-22-2-22000000000-2200000000000−222−2
χ1944441-241-2-21-2111-2-22222000000-1-10000-1-1000044441-241-2-21-2111-2-22222000000-1-10000-1-1000044441-241-2-21-2111-2-22222000000-1-10000-1-10000
χ2044441-241-2-21-2111-2-2-2-2-2-200000011000011000044441-241-2-21-2111-2-2-2-2-2-200000011000011000044441-241-2-21-2111-2-2-2-2-2-2000000110000110000
χ2144441-2-41-2-21-21-1-12222-2-2000000-1-1000011000044441-2-41-2-21-21-1-12222-2-2000000-1-1000011000044441-2-41-2-21-21-1-12222-2-2000000-1-10000110000
χ2244441-2-41-2-21-21-1-122-2-222000000110000-1-1000044441-2-41-2-21-21-1-122-2-222000000110000-1-1000044441-2-41-2-21-21-1-122-2-222000000110000-1-10000
χ234444-214-211-21-2-2-211000000002200-1-1-1-10000004444-214-211-21-2-2-211000000002200-1-1-1-10000004444-214-211-21-2-2-211000000002200-1-1-1-1000000
χ244444-214-211-21-2-2-21100000000-2-20011110000004444-214-211-21-2-2-21100000000-2-20011110000004444-214-211-21-2-2-21100000000-2-2001111000000
χ254444-21-4-211-21-222-1-1000000002-200-1-1110000004444-21-4-211-21-222-1-1000000002-200-1-1110000004444-21-4-211-21-222-1-1000000002-200-1-111000000
χ264444-21-4-211-21-222-1-100000000-220011-1-10000004444-21-4-211-21-222-1-100000000-220011-1-10000004444-21-4-211-21-222-1-100000000-220011-1-1000000
χ2744-4-4440-4-4-444-40000000000000000000000000044-4-4440-4-4-444-40000000000000000000000000044-4-4440-4-4-444-400000000000000000000000000
χ2844-4-4-2102-1-1-212003-3000000000000−i3i3−i3i300000044-4-4-2102-1-1-212003-3000000000000−i3i3−i3i300000044-4-4-2102-1-1-212003-3000000000000−i3i3−i3i3000000
χ2944-4-4-2102-1-1-212003-3000000000000i3−i3i3−i300000044-4-4-2102-1-1-212003-3000000000000i3−i3i3−i300000044-4-4-2102-1-1-212003-3000000000000i3−i3i3−i3000000
χ3044-4-4-2102-1-1-21200-33000000000000−i3i3i3−i300000044-4-4-2102-1-1-21200-33000000000000−i3i3i3−i300000044-4-4-2102-1-1-21200-33000000000000−i3i3i3−i3000000
χ3144-4-4-2102-1-1-21200-33000000000000i3−i3−i3i300000044-4-4-2102-1-1-21200-33000000000000i3−i3−i3i300000044-4-4-2102-1-1-21200-33000000000000i3−i3−i3i3000000
χ324-44-41-201-22-12-13i−3i002-22i−2i000000-110000−ii00004-44-41-201-22-12-13i−3i002-22i−2i000000-110000−ii00004-44-41-201-22-12-13i−3i002-22i−2i000000-110000−ii0000
χ334-44-41-201-22-12-13i−3i00-22−2i2i0000001-10000i−i00004-44-41-201-22-12-13i−3i00-22−2i2i0000001-10000i−i00004-44-41-201-22-12-13i−3i00-22−2i2i0000001-10000i−i0000
χ344-44-41-201-22-12-1−3i3i002-2−2i2i000000-110000i−i00004-44-41-201-22-12-1−3i3i002-2−2i2i000000-110000i−i00004-44-41-201-22-12-1−3i3i002-2−2i2i000000-110000i−i0000
χ354-44-41-201-22-12-1−3i3i00-222i−2i0000001-10000−ii00004-44-41-201-22-12-1−3i3i00-222i−2i0000001-10000−ii00004-44-41-201-22-12-1−3i3i00-222i−2i0000001-10000−ii0000
χ3688-8-82-40-2442-4-20000000000000000000000000088-8-82-40-2442-4-20000000000000000000000000088-8-82-40-2442-4-200000000000000000000000000
χ378-88-8-420-42-24-24000000000000000000000000008-88-8-420-42-24-24000000000000000000000000008-88-8-420-42-24-2400000000000000000000000000
χ388-8-882-40-24-4-242000000000000000000000000008-8-882-40-24-4-242000000000000000000000000008-8-882-40-24-4-24200000000000000000000000000
χ398-8-88-4204-224-2-4000000000000000000000000008-8-88-4204-224-2-4000000000000000000000000008-8-88-4204-224-2-400000000000000000000000000
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
χ411111111111111111111111111-1-111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ4211111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ4311111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ44111111-1111111-1-1-1-111-1-11-1-111-11111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ45111111-1111111-1-1-1-111-1-11-1-11-1111-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ46111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ47111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ48222222222222222220000-2-2-2-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300000000000000
χ49222222-2222222-2-2-2-20000-222-200000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i3−1+i31−i300000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i3−1−i31+i300000000000000
χ502-22-222022-2-2-2-20000002i−2i200-2000000002i−2i0000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000002ζ14−2ζ14−1+i3001−i3000000002ζ14−2ζ140000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000002ζ22−2ζ22−1−i3001+i3000000002ζ22−2ζ220000
χ512-22-222022-2-2-2-2000000−2i2i200-200000000−2i2i0000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i3000000−2ζ142ζ14−1+i3001−i300000000−2ζ142ζ140000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i3000000−2ζ222ζ22−1−i3001+i300000000−2ζ222ζ220000
χ522-22-222022-2-2-2-200002-200-2002002-20000000000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i3001−i300−1+i300−1+i31−i30000000000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i3001+i300−1−i300−1−i31+i30000000000
χ532-22-222022-2-2-2-20000-2200-200200-220000000000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i3001−i300−1+i3001−i3−1+i30000000000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i3001+i300−1−i3001+i3−1−i30000000000
χ542-2-22220-2-22-2-220000000002-2000000000002−22−2−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i3−1+i31−i31−i3−1+i3000000000−1+i31−i300000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i3−1−i31+i31+i3−1−i3000000000−1−i31+i300000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13
χ552-2-22220-2-22-2-220000000002-200000000000−22−22−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i3−1+i31−i31−i3−1+i3000000000−1+i31−i300000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i3−1−i31+i31+i3−1−i3000000000−1−i31+i300000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13
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χ85111111-1111111-1-1-1-1-1-1111-1-111-1-1-111-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ86111111-1111111-1-1-1-1-1-1111-1-11-11-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ87222222222222222220000-2-2-2-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i300001+i31+i31+i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i300001−i31−i31−i31−i300000000000000
χ88222222-2222222-2-2-2-20000-222-200000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i3−1−i31+i300000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i3−1+i31−i300000000000000
χ892-22-222022-2-2-2-20000002i−2i200-2000000002i−2i0000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000002ζ22−2ζ22−1−i3001+i3000000002ζ22−2ζ220000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000002ζ14−2ζ14−1+i3001−i3000000002ζ14−2ζ140000
χ902-22-222022-2-2-2-2000000−2i2i200-200000000−2i2i0000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i3000000−2ζ222ζ22−1−i3001+i300000000−2ζ222ζ220000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i3000000−2ζ142ζ14−1+i3001−i300000000−2ζ142ζ140000
χ912-22-222022-2-2-2-200002-200-2002002-20000000000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i30000−1−i31+i3001+i300−1−i300−1−i31+i30000000000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i30000−1+i31−i3001−i300−1+i300−1+i31−i30000000000
χ922-22-222022-2-2-2-20000-2200-200200-220000000000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i3−1−i31+i31+i31+i31+i300001+i3−1−i3001+i300−1−i3001+i3−1−i30000000000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i3−1+i31−i31−i31−i31−i300001−i3−1+i3001−i300−1+i3001−i3−1+i30000000000
χ932-2-22220-2-22-2-220000000002-2000000000002−22−2−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i3−1−i31+i31+i3−1−i3000000000−1−i31+i300000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i3−1+i31−i31−i3−1+i3000000000−1+i31−i300000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23
χ942-2-22220-2-22-2-220000000002-200000000000−22−22−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i3−1−i31+i31+i3−1−i3000000000−1−i31+i300000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i3−1+i31−i31−i3−1+i3000000000−1+i31−i300000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23
χ952-2-22220-2-22-2-22000000000-22000000000002−2−22−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i3−1−i31+i31+i3−1−i30000000001+i3−1−i300000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i3−1+i31−i31−i3−1+i30000000001−i3−1+i300000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23
χ962-2-22220-2-22-2-22000000000-2200000000000−222−2−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i3−1−i31+i31+i3−1−i30000000001+i3−1−i300000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i3−1+i31−i31−i3−1+i30000000001−i3−1+i300000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23
χ9744441-241-2-21-2111-2-22222000000-1-10000-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i3−1−i30000001+i321+i3200001+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i3−1+i30000001−i321−i3200001−i321−i320000
χ9844441-241-2-21-2111-2-2-2-2-2-2000000110000110000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i31+i3−1−i321+i3−1−i32−1−i32−1−i321+i31+i31+i31+i31+i31+i3000000−1−i32−1−i320000−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i31−i3−1+i321−i3−1+i32−1+i32−1+i321−i31−i31−i31−i31−i31−i3000000−1+i32−1+i320000−1+i32−1+i320000
χ9944441-2-41-2-21-21-1-12222-2-2000000-1-10000110000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i31+i3−1−i321+i3−1−i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i30000001+i321+i320000−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i31−i3−1+i321−i3−1+i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i31−i30000001−i321−i320000−1+i32−1+i320000
χ10044441-2-41-2-21-21-1-122-2-222000000110000-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i31+i3−1−i321+i3−1−i321+i321+i32−1−i3−1−i31+i31+i3−1−i3−1−i3000000−1−i32−1−i3200001+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i31−i3−1+i321−i3−1+i321−i321−i32−1+i3−1+i31−i31−i3−1+i3−1+i3000000−1+i32−1+i3200001−i321−i320000
χ1014444-214-211-21-2-2-211000000002200-1-1-1-1000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i32−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i3200000000−1−i3−1−i3001+i321+i321+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i32−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i3200000000−1+i3−1+i3001−i321−i321−i321−i32000000
χ1024444-214-211-21-2-2-21100000000-2-2001111000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i32−1−i321+i3−1−i321+i31+i31+i3−1−i32−1−i32000000001+i31+i300−1−i32−1−i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i32−1+i321−i3−1+i321−i31−i31−i3−1+i32−1+i32000000001−i31−i300−1+i32−1+i32−1+i32−1+i32000000
χ1034444-21-4-211-21-222-1-1000000002-200-1-111000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i32−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i3200000000−1−i31+i3001+i321+i32−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i32−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i3200000000−1+i31−i3001−i321−i32−1+i32−1+i32000000
χ1044444-21-4-211-21-222-1-100000000-220011-1-1000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i32−1−i321+i3−1−i321+i3−1−i3−1−i31+i321+i32000000001+i3−1−i300−1−i32−1−i321+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i32−1+i321−i3−1+i321−i3−1+i3−1+i31−i321−i32000000001−i3−1+i300−1+i32−1+i321−i321−i32000000
χ10544-4-4440-4-4-444-400000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i302+2i32+2i32+2i3−2−2i3−2−2i32+2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i302−2i32−2i32−2i3−2+2i3−2+2i32−2i300000000000000000000000000
χ10644-4-4-2102-1-1-212003-3000000000000−i3i3−i3i3000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i300−3−3i323+3i32000000000000−3+i323−i32−3+i323−i32000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i300−3+3i323−3i320000000000003+i32−3−i323+i32−3−i32000000
χ10744-4-4-2102-1-1-212003-3000000000000i3−i3i3−i3000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i300−3−3i323+3i320000000000003−i32−3+i323−i32−3+i32000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i300−3+3i323−3i32000000000000−3−i323+i32−3−i323+i32000000
χ10844-4-4-2102-1-1-21200-33000000000000−i3i3i3−i3000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i3003+3i32−3−3i32000000000000−3+i323−i323−i32−3+i32000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i3003−3i32−3+3i320000000000003+i32−3−i32−3−i323+i32000000
χ10944-4-4-2102-1-1-21200-33000000000000i3−i3−i3i3000000−2−2i3−2−2i32+2i32+2i31+i3−1−i320−1−i31+i321+i321+i3−1−i32−1−i3003+3i32−3−3i320000000000003−i32−3+i32−3+i323−i32000000−2+2i3−2+2i32−2i32−2i31−i3−1+i320−1+i31−i321−i321−i3−1+i32−1+i3003−3i32−3+3i32000000000000−3−i323+i323+i32−3−i32000000
χ1104-44-41-201-22-12-13i−3i002-22i−2i000000-110000−ii0000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i321+i3−1−i31+i32−1−i31+i323ζ22−3ζ2200−1−i31+i32ζ22−2ζ220000001+i32−1−i320000−ζ22ζ220000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i321−i3−1+i31−i32−1+i31−i323ζ14−3ζ1400−1+i31−i32ζ14−2ζ140000001−i32−1+i320000−ζ14ζ140000
χ1114-44-41-201-22-12-13i−3i00-22−2i2i0000001-10000i−i0000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i321+i3−1−i31+i32−1−i31+i323ζ22−3ζ22001+i3−1−i3−2ζ222ζ22000000−1−i321+i320000ζ22−ζ220000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i321−i3−1+i31−i32−1+i31−i323ζ14−3ζ14001−i3−1+i3−2ζ142ζ14000000−1+i321−i320000ζ14−ζ140000
χ1124-44-41-201-22-12-1−3i3i002-2−2i2i000000-110000i−i0000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i321+i3−1−i31+i32−1−i31+i32−3ζ223ζ2200−1−i31+i3−2ζ222ζ220000001+i32−1−i320000ζ22−ζ220000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i321−i3−1+i31−i32−1+i31−i32−3ζ143ζ1400−1+i31−i3−2ζ142ζ140000001−i32−1+i320000ζ14−ζ140000
χ1134-44-41-201-22-12-1−3i3i00-222i−2i0000001-10000−ii0000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i321+i3−1−i31+i32−1−i31+i32−3ζ223ζ22001+i3−1−i32ζ22−2ζ22000000−1−i321+i320000−ζ22ζ220000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i321−i3−1+i31−i32−1+i31−i32−3ζ143ζ14001−i3−1+i32ζ14−2ζ14000000−1+i321−i320000−ζ14ζ140000
χ11488-8-82-40-2442-4-200000000000000000000000000−4−4i3−4−4i34+4i34+4i3−1−i32+2i301+i3−2−2i3−2−2i3−1−i32+2i31+i300000000000000000000000000−4+4i3−4+4i34−4i34−4i3−1+i32−2i301−i3−2+2i3−2+2i3−1+i32−2i31−i300000000000000000000000000
χ1158-88-8-420-42-24-2400000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i302+2i3−1−i31+i3−2−2i31+i3−2−2i300000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i302−2i3−1+i31−i3−2+2i31−i3−2+2i300000000000000000000000000
χ1168-8-882-40-24-4-24200000000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i301+i3−2−2i32+2i31+i3−2−2i3−1−i300000000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i301−i3−2+2i32−2i31−i3−2+2i3−1+i300000000000000000000000000
χ1178-8-88-4204-224-2-400000000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i3−1−i30−2−2i31+i3−1−i3−2−2i31+i32+2i300000000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i3−1+i30−2+2i31−i3−1+i3−2+2i31−i32−2i300000000000000000000000000

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