Finite Group Databasebeta

← Group #13166707

Character table — Group #13166707

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111144444444488881212121218181818242424242424242424243636363611114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order122233466666612121212444422442466121212121212888836663312666666121212121212121266121261266121212121212242424243666331266666612121212121212126612126126612121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-11111111111111111111111111-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
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
χ5111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1
χ6111111-1111111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-111111111-1111111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-111111111-1111111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-111
χ7111111-1111111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-111111111-1111111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-111111111-1111111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-111
χ8111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ10222222-2222222-2-2-2-2000022-2-200000000000000222222-2222222-2-2-2-2000022-2-200000000000000222222-2222222-2-2-2-2000022-2-200000000000000
χ112-22-2220-2-222-2-20000002i−2i002-2000000002i−2i00002-22-2220-2-222-2-20000002i−2i002-2000000002i−2i00002-22-2220-2-222-2-20000002i−2i002-2000000002i−2i0000
χ122-22-2220-2-222-2-2000000−2i2i002-200000000−2i2i00002-22-2220-2-222-2-2000000−2i2i002-200000000−2i2i00002-22-2220-2-222-2-2000000−2i2i002-200000000−2i2i0000
χ132-22-2220-2-222-2-200002i−2i0000-220000002i−2i0000002-22-2220-2-222-2-200002i−2i0000-220000002i−2i0000002-22-2220-2-222-2-200002i−2i0000-220000002i−2i000000
χ142-22-2220-2-222-2-20000−2i2i0000-22000000−2i2i0000002-22-2220-2-222-2-20000−2i2i0000-22000000−2i2i0000002-22-2220-2-222-2-20000−2i2i0000-22000000−2i2i000000
χ152-2-22220-2-2-2-222000000002-20000000000002−22−22-2-22220-2-2-2-222000000002-20000000000002−22−22-2-22220-2-2-2-222000000002-20000000000002−22−2
χ162-2-22220-2-2-2-222000000002-2000000000000−22−222-2-22220-2-2-2-222000000002-2000000000000−22−222-2-22220-2-2-2-222000000002-2000000000000−22−22
χ172-2-22220-2-2-2-22200000000-220000000000002−2−222-2-22220-2-2-2-22200000000-220000000000002−2−222-2-22220-2-2-2-22200000000-220000000000002−2−22
χ182-2-22220-2-2-2-22200000000-22000000000000−222−22-2-22220-2-2-2-22200000000-22000000000000−222−22-2-22220-2-2-2-22200000000-22000000000000−222−2
χ1944441-241-21-2-2111-2-222220000000000-1-1-1-1000044441-241-21-2-2111-2-222220000000000-1-1-1-1000044441-241-21-2-2111-2-222220000000000-1-1-1-10000
χ2044441-241-21-2-2111-2-2-2-2-2-200000000001111000044441-241-21-2-2111-2-2-2-2-2-200000000001111000044441-241-21-2-2111-2-2-2-2-2-2000000000011110000
χ2144441-2-41-21-2-21-1-12222-2-20000000000-1-111000044441-2-41-21-2-21-1-12222-2-20000000000-1-111000044441-2-41-21-2-21-1-12222-2-20000000000-1-1110000
χ2244441-2-41-21-2-21-1-122-2-222000000000011-1-1000044441-2-41-21-2-21-1-122-2-222000000000011-1-1000044441-2-41-21-2-21-1-122-2-222000000000011-1-10000
χ234444-214-21-211-2-2-2110000000022-1-1-1-1000000004444-214-21-211-2-2-2110000000022-1-1-1-1000000004444-214-21-211-2-2-2110000000022-1-1-1-100000000
χ244444-214-21-211-2-2-21100000000-2-21111000000004444-214-21-211-2-2-21100000000-2-21111000000004444-214-21-211-2-2-21100000000-2-2111100000000
χ254444-21-4-21-211-222-1-1000000002-2-1-111000000004444-21-4-21-211-222-1-1000000002-2-1-111000000004444-21-4-21-211-222-1-1000000002-2-1-11100000000
χ264444-21-4-21-211-222-1-100000000-2211-1-1000000004444-21-4-21-211-222-1-100000000-2211-1-1000000004444-21-4-21-211-222-1-100000000-2211-1-100000000
χ2744-4-444044-4-4-4-40000000000000000000000000044-4-444044-4-4-4-40000000000000000000000000044-4-444044-4-4-4-400000000000000000000000000
χ2844-4-4-210-212-1-12003i−3i0000000000−i3i33−30000000044-4-4-210-212-1-12003i−3i0000000000−i3i33−30000000044-4-4-210-212-1-12003i−3i0000000000−i3i33−300000000
χ2944-4-4-210-212-1-12003i−3i0000000000i3−i3−330000000044-4-4-210-212-1-12003i−3i0000000000i3−i3−330000000044-4-4-210-212-1-12003i−3i0000000000i3−i3−3300000000
χ3044-4-4-210-212-1-1200−3i3i0000000000−i3i3−330000000044-4-4-210-212-1-1200−3i3i0000000000−i3i3−330000000044-4-4-210-212-1-1200−3i3i0000000000−i3i3−3300000000
χ3144-4-4-210-212-1-1200−3i3i0000000000i3−i33−30000000044-4-4-210-212-1-1200−3i3i0000000000i3−i33−30000000044-4-4-210-212-1-1200−3i3i0000000000i3−i33−300000000
χ324-44-41-20-121-22-13-3002i−2i2i−2i0000000000−ii−ii00004-44-41-20-121-22-13-3002i−2i2i−2i0000000000−ii−ii00004-44-41-20-121-22-13-3002i−2i2i−2i0000000000−ii−ii0000
χ334-44-41-20-121-22-13-300−2i2i−2i2i0000000000i−ii−i00004-44-41-20-121-22-13-300−2i2i−2i2i0000000000i−ii−i00004-44-41-20-121-22-13-300−2i2i−2i2i0000000000i−ii−i0000
χ344-44-41-20-121-22-1-33002i−2i−2i2i0000000000−iii−i00004-44-41-20-121-22-1-33002i−2i−2i2i0000000000−iii−i00004-44-41-20-121-22-1-33002i−2i−2i2i0000000000−iii−i0000
χ354-44-41-20-121-22-1-3300−2i2i2i−2i0000000000i−i−ii00004-44-41-20-121-22-1-3300−2i2i2i−2i0000000000i−i−ii00004-44-41-20-121-22-1-3300−2i2i2i−2i0000000000i−i−ii0000
χ3688-8-82-402-4-244-20000000000000000000000000088-8-82-402-4-244-20000000000000000000000000088-8-82-402-4-244-200000000000000000000000000
χ378-88-8-4204-2-42-24000000000000000000000000008-88-8-4204-2-42-24000000000000000000000000008-88-8-4204-2-42-2400000000000000000000000000
χ388-8-882-40-24-24-42000000000000000000000000008-8-882-40-24-24-42000000000000000000000000008-8-882-40-24-24-4200000000000000000000000000
χ398-8-88-4204-24-22-4000000000000000000000000008-8-88-4204-24-22-4000000000000000000000000008-8-88-4204-24-22-400000000000000000000000000
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
χ411111111111111111111111111-1-1-1-1-1-11111-1-1-1-1−1+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−i321−i321−i321−i321−i32−1+i32−1+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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ4211111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+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
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
χ44111111-1111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1−1+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−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ45111111-1111111-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-111−1+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−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+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+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ46111111-1111111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-111−1+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+i321−i321−i32−1+i32−1+i32−1+i321−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−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−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ47111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1−1+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+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+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
χ49222222-2222222-2-2-2-2000022-2-200000000000000−1+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−i30000−1+i3−1+i31−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+i30000−1−i3−1−i31+i31+i300000000000000
χ502-22-2220-2-222-2-20000002i−2i002-2000000002i−2i0000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i30000002ζ14−2ζ1400−1+i31−i3000000002ζ14−2ζ140000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i30000002ζ22−2ζ2200−1−i31+i3000000002ζ22−2ζ220000
χ512-22-2220-2-222-2-2000000−2i2i002-200000000−2i2i0000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i3000000−2ζ142ζ1400−1+i31−i300000000−2ζ142ζ140000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i3000000−2ζ222ζ2200−1−i31+i300000000−2ζ222ζ220000
χ522-22-2220-2-222-2-200002i−2i0000-220000002i−2i000000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i300002ζ14−2ζ1400001−i3−1+i30000002ζ14−2ζ14000000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i300002ζ22−2ζ2200001+i3−1−i30000002ζ22−2ζ22000000
χ532-22-2220-2-222-2-20000−2i2i0000-22000000−2i2i000000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i30000−2ζ142ζ1400001−i3−1+i3000000−2ζ142ζ14000000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i30000−2ζ222ζ2200001+i3−1−i3000000−2ζ222ζ22000000
χ542-2-22220-2-2-2-222000000002-20000000000002−22−2−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i300000000−1+i31−i3000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i300000000−1−i31+i3000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13
χ552-2-22220-2-2-2-222000000002-2000000000000−22−22−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i300000000−1+i31−i3000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i300000000−1−i31+i3000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13
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χ85111111-1111111-1-1-1-1-1-111-1-1111-111-1-1-1-111-1-111−1−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−i321+i321+i32−1−i32−1−i32−1−i321+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+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+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ86111111-1111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1−1−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−i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−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
χ88222222-2222222-2-2-2-2000022-2-200000000000000−1−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+i30000−1−i3−1−i31+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−i30000−1+i3−1+i31−i31−i300000000000000
χ892-22-2220-2-222-2-20000002i−2i002-2000000002i−2i0000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i30000002ζ22−2ζ2200−1−i31+i3000000002ζ22−2ζ220000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i30000002ζ14−2ζ1400−1+i31−i3000000002ζ14−2ζ140000
χ902-22-2220-2-222-2-2000000−2i2i002-200000000−2i2i0000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i3000000−2ζ222ζ2200−1−i31+i300000000−2ζ222ζ220000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i3000000−2ζ142ζ1400−1+i31−i300000000−2ζ142ζ140000
χ912-22-2220-2-222-2-200002i−2i0000-220000002i−2i000000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i300002ζ22−2ζ2200001+i3−1−i30000002ζ22−2ζ22000000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i300002ζ14−2ζ1400001−i3−1+i30000002ζ14−2ζ14000000
χ922-22-2220-2-222-2-20000−2i2i0000-22000000−2i2i000000−1−i31+i3−1−i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i30000−2ζ222ζ2200001+i3−1−i3000000−2ζ222ζ22000000−1+i31−i3−1+i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i30000−2ζ142ζ1400001−i3−1+i3000000−2ζ142ζ14000000
χ932-2-22220-2-2-2-222000000002-20000000000002−22−2−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i300000000−1−i31+i3000000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i300000000−1+i31−i3000000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23
χ942-2-22220-2-2-2-222000000002-2000000000000−22−22−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i300000000−1−i31+i3000000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i300000000−1+i31−i3000000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23
χ952-2-22220-2-2-2-22200000000-220000000000002−2−22−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i3000000001+i3−1−i3000000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i3000000001−i3−1+i3000000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23
χ962-2-22220-2-2-2-22200000000-22000000000000−222−2−1−i31+i31+i3−1−i3−1−i3−1−i301+i31+i31+i31+i3−1−i3−1−i3000000001+i3−1−i3000000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−1+i31−i31−i3−1+i3−1+i3−1+i301−i31−i31−i31−i3−1+i3−1+i3000000001−i3−1+i3000000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23
χ9744441-241-21-2-2111-2-222220000000000-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i3−1−i300000000001+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i3−1+i300000000001−i321−i321−i321−i320000
χ9844441-241-21-2-2111-2-2-2-2-2-2000000000011110000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i31+i31+i31+i31+i30000000000−1−i32−1−i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−2+2i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i31−i31−i31−i31−i30000000000−1+i32−1+i32−1+i32−1+i320000
χ9944441-2-41-21-2-21-1-12222-2-20000000000-1-1110000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i300000000001+i321+i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i3−1+i321−i31−i3−1+i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i31−i300000000001−i321−i32−1+i32−1+i320000
χ10044441-2-41-21-2-21-1-122-2-222000000000011-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i321+i32−1−i3−1−i31+i31+i3−1−i3−1−i30000000000−1−i32−1−i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i32−2i3−1+i321−i3−1+i321−i31−i3−1+i321−i321−i32−1+i3−1+i31−i31−i3−1+i3−1+i30000000000−1+i32−1+i321−i321−i320000
χ1014444-214-21-211-2-2-2110000000022-1-1-1-100000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3200000000−1−i3−1−i31+i321+i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3200000000−1+i3−1+i31−i321−i321−i321−i3200000000
χ1024444-214-21-211-2-2-21100000000-2-2111100000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32000000001+i31+i3−1−i32−1−i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i32−2+2i31−i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32000000001−i31−i3−1+i32−1+i32−1+i32−1+i3200000000
χ1034444-21-4-21-211-222-1-1000000002-2-1-11100000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i3200000000−1−i31+i31+i321+i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i3−1+i31−i321−i3200000000−1+i31−i31−i321−i32−1+i32−1+i3200000000
χ1044444-21-4-21-211-222-1-100000000-2211-1-100000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i32000000001+i3−1−i3−1−i32−1−i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i322−2i31−i3−1+i321−i3−1+i32−1+i321−i3−1+i3−1+i31−i321−i32000000001−i3−1+i3−1+i32−1+i321−i321−i3200000000
χ10544-4-444044-4-4-4-400000000000000000000000000−2−2i3−2−2i32+2i32+2i3−2−2i3−2−2i30−2−2i3−2−2i32+2i32+2i32+2i32+2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i3−2+2i3−2+2i30−2+2i3−2+2i32−2i32−2i32−2i32−2i300000000000000000000000000
χ10644-4-4-210-212-1-12003i−3i0000000000−i3i33−300000000−2−2i3−2−2i32+2i32+2i31+i3−1−i3201+i3−1−i32−1−i31+i321+i32−1−i3003ζ22−3ζ220000000000−3+i323−i322ζ14+ζ22−2ζ14−ζ2200000000−2+2i3−2+2i32−2i32−2i31−i3−1+i3201−i3−1+i32−1+i31−i321−i32−1+i3003ζ14−3ζ1400000000003+i32−3−i32−ζ14−2ζ22ζ14+2ζ2200000000
χ10744-4-4-210-212-1-12003i−3i0000000000i3−i3−3300000000−2−2i3−2−2i32+2i32+2i31+i3−1−i3201+i3−1−i32−1−i31+i321+i32−1−i3003ζ22−3ζ2200000000003−i32−3+i32−2ζ14−ζ222ζ14+ζ2200000000−2+2i3−2+2i32−2i32−2i31−i3−1+i3201−i3−1+i32−1+i31−i321−i32−1+i3003ζ14−3ζ140000000000−3−i323+i32ζ14+2ζ22−ζ14−2ζ2200000000
χ10844-4-4-210-212-1-1200−3i3i0000000000−i3i3−3300000000−2−2i3−2−2i32+2i32+2i31+i3−1−i3201+i3−1−i32−1−i31+i321+i32−1−i300−3ζ223ζ220000000000−3+i323−i32−2ζ14−ζ222ζ14+ζ2200000000−2+2i3−2+2i32−2i32−2i31−i3−1+i3201−i3−1+i32−1+i31−i321−i32−1+i300−3ζ143ζ1400000000003+i32−3−i32ζ14+2ζ22−ζ14−2ζ2200000000
χ10944-4-4-210-212-1-1200−3i3i0000000000i3−i33−300000000−2−2i3−2−2i32+2i32+2i31+i3−1−i3201+i3−1−i32−1−i31+i321+i32−1−i300−3ζ223ζ2200000000003−i32−3+i322ζ14+ζ22−2ζ14−ζ2200000000−2+2i3−2+2i32−2i32−2i31−i3−1+i3201−i3−1+i32−1+i31−i321−i32−1+i300−3ζ143ζ140000000000−3−i323+i32−ζ14−2ζ22ζ14+2ζ2200000000
χ1104-44-41-20-121-22-13-3002i−2i2i−2i0000000000−ii−ii0000−2−2i32+2i3−2−2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i3−1−i31+i32−3−3i323+3i32002ζ22−2ζ222ζ22−2ζ220000000000−ζ22ζ22−ζ22ζ220000−2+2i32−2i3−2+2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i3−1+i31−i32−3+3i323−3i32002ζ14−2ζ142ζ14−2ζ140000000000−ζ14ζ14−ζ14ζ140000
χ1114-44-41-20-121-22-13-300−2i2i−2i2i0000000000i−ii−i0000−2−2i32+2i3−2−2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i3−1−i31+i32−3−3i323+3i3200−2ζ222ζ22−2ζ222ζ220000000000ζ22−ζ22ζ22−ζ220000−2+2i32−2i3−2+2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i3−1+i31−i32−3+3i323−3i3200−2ζ142ζ14−2ζ142ζ140000000000ζ14−ζ14ζ14−ζ140000
χ1124-44-41-20-121-22-1-33002i−2i−2i2i0000000000−iii−i0000−2−2i32+2i3−2−2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i3−1−i31+i323+3i32−3−3i32002ζ22−2ζ22−2ζ222ζ220000000000−ζ22ζ22ζ22−ζ220000−2+2i32−2i3−2+2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i3−1+i31−i323−3i32−3+3i32002ζ14−2ζ14−2ζ142ζ140000000000−ζ14ζ14ζ14−ζ140000
χ1134-44-41-20-121-22-1-3300−2i2i2i−2i0000000000i−i−ii0000−2−2i32+2i3−2−2i32+2i3−1−i321+i301+i32−1−i3−1−i321+i3−1−i31+i323+3i32−3−3i3200−2ζ222ζ222ζ22−2ζ220000000000ζ22−ζ22−ζ22ζ220000−2+2i32−2i3−2+2i32−2i3−1+i321−i301−i32−1+i3−1+i321−i3−1+i31−i323−3i32−3+3i3200−2ζ142ζ142ζ14−2ζ140000000000ζ14−ζ14−ζ14ζ140000
χ11488-8-82-402-4-244-200000000000000000000000000−4−4i3−4−4i34+4i34+4i3−1−i32+2i30−1−i32+2i31+i3−2−2i3−2−2i31+i300000000000000000000000000−4+4i3−4+4i34−4i34−4i3−1+i32−2i30−1+i32−2i31−i3−2+2i3−2+2i31−i300000000000000000000000000
χ1158-88-8-4204-2-42-2400000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i30−2−2i31+i32+2i3−1−i31+i3−2−2i300000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i30−2+2i31−i32−2i3−1+i31−i3−2+2i300000000000000000000000000
χ1168-8-882-40-24-24-4200000000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i301+i3−2−2i31+i3−2−2i32+2i3−1−i300000000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i301−i3−2+2i31−i3−2+2i32−2i3−1+i300000000000000000000000000
χ1178-8-88-4204-24-22-400000000000000000000000000−4−4i34+4i34+4i3−4−4i32+2i3−1−i30−2−2i31+i3−2−2i31+i3−1−i32+2i300000000000000000000000000−4+4i34−4i34−4i3−4+4i32−2i3−1+i30−2+2i31−i3−2+2i31−i3−1+i32−2i300000000000000000000000000

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