Finite Group Databasebeta

← Group #13166788

Character table — Group #13166788

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111144444444488881212121218181818242424242424242424243636363611114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order122233466666612121212224444442466661212121288883666331266666612121212661212121212126126666121212122424242436663312666666121212126612121212121261266661212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-111-1-1-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1
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
χ6111111-1111111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-111111111-1111111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-111111111-1111111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-111
χ7111111-1111111-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-111111111-1111111-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-111111111-1111111-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-111
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
χ1122-2-2220-2-222-2-20000000002i−2i000000000002−2−i2i222-2-2220-2-222-2-20000000002i−2i000000000002−2−i2i222-2-2220-2-222-2-20000000002i−2i000000000002−2−i2i2
χ1222-2-2220-2-222-2-20000000002i−2i00000000000−22i2−i222-2-2220-2-222-2-20000000002i−2i00000000000−22i2−i222-2-2220-2-222-2-20000000002i−2i00000000000−22i2−i2
χ1322-2-2220-2-222-2-2000000000−2i2i000000000002−2i2−i222-2-2220-2-222-2-2000000000−2i2i000000000002−2i2−i222-2-2220-2-222-2-2000000000−2i2i000000000002−2i2−i2
χ1422-2-2220-2-222-2-2000000000−2i2i00000000000−22−i2i222-2-2220-2-222-2-2000000000−2i2i00000000000−22−i2i222-2-2220-2-222-2-2000000000−2i2i00000000000−22−i2i2
χ152-22-22202-2-2-22-20000002i−2i200-20000002i−2i0000002-22-22202-2-2-22-20000002i−2i200-20000002i−2i0000002-22-22202-2-2-22-20000002i−2i200-20000002i−2i000000
χ162-22-22202-2-2-22-2000000−2i2i200-2000000−2i2i0000002-22-22202-2-2-22-2000000−2i2i200-2000000−2i2i0000002-22-22202-2-2-22-2000000−2i2i200-2000000−2i2i000000
χ172-22-22202-2-2-22-200002-200-2002002-200000000002-22-22202-2-2-22-200002-200-2002002-200000000002-22-22202-2-2-22-200002-200-2002002-20000000000
χ182-22-22202-2-2-22-20000-2200-200200-2200000000002-22-22202-2-2-22-20000-2200-200200-2200000000002-22-22202-2-2-22-20000-2200-200200-220000000000
χ1944441-241-21-2-2111-2-22222000000-1-100-1-100000044441-241-21-2-2111-2-22222000000-1-100-1-100000044441-241-21-2-2111-2-22222000000-1-100-1-1000000
χ2044441-241-21-2-2111-2-2-2-2-2-200000011001100000044441-241-21-2-2111-2-2-2-2-2-200000011001100000044441-241-21-2-2111-2-2-2-2-2-2000000110011000000
χ2144441-2-41-21-2-21-1-12222-2-2000000-1-1001100000044441-2-41-21-2-21-1-12222-2-2000000-1-1001100000044441-2-41-21-2-21-1-12222-2-2000000-1-10011000000
χ2244441-2-41-21-2-21-1-122-2-2220000001100-1-100000044441-2-41-21-2-21-1-122-2-2220000001100-1-100000044441-2-41-21-2-21-1-122-2-2220000001100-1-1000000
χ234444-214-21-211-2-2-211000000002200-1-100-1-100004444-214-21-211-2-2-211000000002200-1-100-1-100004444-214-21-211-2-2-211000000002200-1-100-1-10000
χ244444-214-21-211-2-2-21100000000-2-20011001100004444-214-21-211-2-2-21100000000-2-20011001100004444-214-21-211-2-2-21100000000-2-2001100110000
χ254444-21-4-21-211-222-1-1000000002-200-1-1001100004444-21-4-21-211-222-1-1000000002-200-1-1001100004444-21-4-21-211-222-1-1000000002-200-1-100110000
χ264444-21-4-21-211-222-1-100000000-22001100-1-100004444-21-4-21-211-222-1-100000000-22001100-1-100004444-21-4-21-211-222-1-100000000-22001100-1-10000
χ274-44-41-2012-12-2-13i−3i002-22i−2i000000-1100−ii0000004-44-41-2012-12-2-13i−3i002-22i−2i000000-1100−ii0000004-44-41-2012-12-2-13i−3i002-22i−2i000000-1100−ii000000
χ284-44-41-2012-12-2-13i−3i00-22−2i2i0000001-100i−i0000004-44-41-2012-12-2-13i−3i00-22−2i2i0000001-100i−i0000004-44-41-2012-12-2-13i−3i00-22−2i2i0000001-100i−i000000
χ294-44-41-2012-12-2-1−3i3i002-2−2i2i000000-1100i−i0000004-44-41-2012-12-2-1−3i3i002-2−2i2i000000-1100i−i0000004-44-41-2012-12-2-1−3i3i002-2−2i2i000000-1100i−i000000
χ304-44-41-2012-12-2-1−3i3i00-222i−2i0000001-100−ii0000004-44-41-2012-12-2-1−3i3i00-222i−2i0000001-100−ii0000004-44-41-2012-12-2-1−3i3i00-222i−2i0000001-100−ii000000
χ314-4-44440-44-4-4-44000000000000000000000000004-4-44440-44-4-4-44000000000000000000000000004-4-44440-44-4-4-4400000000000000000000000000
χ324-4-44-210212-1-1-2003i−3i000000000000−i3i3003−300004-4-44-210212-1-1-2003i−3i000000000000−i3i3003−300004-4-44-210212-1-1-2003i−3i000000000000−i3i3003−30000
χ334-4-44-210212-1-1-2003i−3i000000000000i3−i300−3300004-4-44-210212-1-1-2003i−3i000000000000i3−i300−3300004-4-44-210212-1-1-2003i−3i000000000000i3−i300−330000
χ344-4-44-210212-1-1-200−3i3i000000000000−i3i300−3300004-4-44-210212-1-1-200−3i3i000000000000−i3i300−3300004-4-44-210212-1-1-200−3i3i000000000000−i3i300−330000
χ354-4-44-210212-1-1-200−3i3i000000000000i3−i3003−300004-4-44-210212-1-1-200−3i3i000000000000i3−i3003−300004-4-44-210212-1-1-200−3i3i000000000000i3−i3003−30000
χ3688-8-82-40-242-44-20000000000000000000000000088-8-82-40-242-44-20000000000000000000000000088-8-82-40-242-44-200000000000000000000000000
χ3788-8-8-4204-2-42-240000000000000000000000000088-8-8-4204-2-42-240000000000000000000000000088-8-8-4204-2-42-2400000000000000000000000000
χ388-88-8-420-4-24-224000000000000000000000000008-88-8-420-4-24-224000000000000000000000000008-88-8-420-4-24-22400000000000000000000000000
χ398-8-882-40-2-4-2442000000000000000000000000008-8-882-40-2-4-2442000000000000000000000000008-8-882-40-2-4-244200000000000000000000000000
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
χ411111111111111111111111111-1-111-1-111-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ4211111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-1−1+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−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−i321+i321+i32−1−i32−1−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
χ45111111-1111111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-111−1+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−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−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−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+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ46111111-1111111-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-111−1+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−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−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−i32−1−i32−1−i321+i321+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
χ5022-2-2220-2-222-2-20000000002i−2i000000000002−2−i2i2−1+i3−1+i31−i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i30000000002ζ14−2ζ1400000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23−1−i3−1−i31+i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i30000000002ζ22−2ζ2200000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13
χ5122-2-2220-2-222-2-20000000002i−2i00000000000−22i2−i2−1+i3−1+i31−i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i30000000002ζ14−2ζ1400000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−1−i3−1−i31+i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i30000000002ζ22−2ζ2200000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13
χ5222-2-2220-2-222-2-2000000000−2i2i000000000002−2i2−i2−1+i3−1+i31−i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i3000000000−2ζ142ζ1400000000000ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1−i3−1−i31+i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i3000000000−2ζ222ζ2200000000000−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13
χ5322-2-2220-2-222-2-2000000000−2i2i00000000000−22−i2i2−1+i3−1+i31−i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i3000000000−2ζ142ζ1400000000000−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1−i3−1−i31+i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i3000000000−2ζ222ζ2200000000000ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13
χ542-22-22202-2-2-22-20000002i−2i200-20000002i−2i000000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i31−i31−i31−i3−1+i31−i30000002ζ14−2ζ14−1+i3001−i30000002ζ14−2ζ14000000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i31+i31+i31+i3−1−i31+i30000002ζ22−2ζ22−1−i3001+i30000002ζ22−2ζ22000000
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χ84111111-1111111-1-1-1-111-1-11-1-11-1111-1-1-1-111-1-111−1−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+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+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+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−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ85111111-1111111-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-111−1−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+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+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+i32−1+i32−1+i321−i321−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
χ8922-2-2220-2-222-2-20000000002i−2i000000000002−2−i2i2−1−i3−1−i31+i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i30000000002ζ22−2ζ2200000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1+i3−1+i31−i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i30000000002ζ14−2ζ1400000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23
χ9022-2-2220-2-222-2-20000000002i−2i00000000000−22i2−i2−1−i3−1−i31+i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i30000000002ζ22−2ζ2200000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1+i3−1+i31−i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i30000000002ζ14−2ζ1400000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23
χ9122-2-2220-2-222-2-2000000000−2i2i000000000002−2i2−i2−1−i3−1−i31+i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i3000000000−2ζ222ζ2200000000000−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−1+i3−1+i31−i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i3000000000−2ζ142ζ1400000000000ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23
χ9222-2-2220-2-222-2-2000000000−2i2i00000000000−22−i2i2−1−i3−1−i31+i31+i3−1−i3−1−i301+i31+i3−1−i3−1−i31+i31+i3000000000−2ζ222ζ2200000000000ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−1+i3−1+i31−i31−i3−1+i3−1+i301−i31−i3−1+i3−1+i31−i31−i3000000000−2ζ142ζ1400000000000−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23
χ932-22-22202-2-2-22-20000002i−2i200-20000002i−2i000000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i31+i31+i31+i3−1−i31+i30000002ζ22−2ζ22−1−i3001+i30000002ζ22−2ζ22000000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i31−i31−i31−i3−1+i31−i30000002ζ14−2ζ14−1+i3001−i30000002ζ14−2ζ14000000
χ942-22-22202-2-2-22-2000000−2i2i200-2000000−2i2i000000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i31+i31+i31+i3−1−i31+i3000000−2ζ222ζ22−1−i3001+i3000000−2ζ222ζ22000000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i31−i31−i31−i3−1+i31−i3000000−2ζ142ζ14−1+i3001−i3000000−2ζ142ζ14000000
χ952-22-22202-2-2-22-200002-200-2002002-20000000000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i31+i31+i31+i3−1−i31+i30000−1−i31+i3001+i300−1−i300−1−i31+i30000000000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i31−i31−i31−i3−1+i31−i30000−1+i31−i3001−i300−1+i300−1+i31−i30000000000
χ962-22-22202-2-2-22-20000-2200-200200-220000000000−1−i31+i3−1−i31+i3−1−i3−1−i30−1−i31+i31+i31+i3−1−i31+i300001+i3−1−i3001+i300−1−i3001+i3−1−i30000000000−1+i31−i3−1+i31−i3−1+i3−1+i30−1+i31−i31−i31−i3−1+i31−i300001−i3−1+i3001−i300−1+i3001−i3−1+i30000000000
χ9744441-241-21-2-2111-2-22222000000-1-100-1-1000000−2−2i3−2−2i3−2−2i3−2−2i3−1−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−i30000001+i321+i32001+i321+i32000000−2+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+i30000001−i321−i32001−i321−i32000000
χ9844441-241-21-2-2111-2-2-2-2-2-2000000110011000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−2−2i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i31+i31+i31+i31+i3000000−1−i32−1−i3200−1−i32−1−i32000000−2+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−i3000000−1+i32−1+i3200−1+i32−1+i32000000
χ9944441-2-41-21-2-21-1-12222-2-2000000-1-10011000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i30000001+i321+i3200−1−i32−1−i32000000−2+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−i30000001−i321−i3200−1+i32−1+i32000000
χ10044441-2-41-21-2-21-1-122-2-2220000001100-1-1000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i32+2i3−1−i321+i3−1−i321+i31+i3−1−i321+i321+i32−1−i3−1−i31+i31+i3−1−i3−1−i3000000−1−i32−1−i32001+i321+i32000000−2+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+i3000000−1+i32−1+i32001−i321−i32000000
χ1014444-214-21-211-2-2-211000000002200-1-100-1-10000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3200000000−1−i3−1−i3001+i321+i32001+i321+i320000−2+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+i3001−i321−i32001−i321−i320000
χ1024444-214-21-211-2-2-21100000000-2-2001100110000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i32−2−2i31+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32000000001+i31+i300−1−i32−1−i3200−1−i32−1−i320000−2+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−i300−1+i32−1+i3200−1+i32−1+i320000
χ1034444-21-4-21-211-222-1-1000000002-200-1-100110000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i3200000000−1−i31+i3001+i321+i3200−1−i32−1−i320000−2+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−i3001−i321−i3200−1+i32−1+i320000
χ1044444-21-4-21-211-222-1-100000000-22001100-1-10000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i322+2i31+i3−1−i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i32000000001+i3−1−i300−1−i32−1−i32001+i321+i320000−2+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+i300−1+i32−1+i32001−i321−i320000
χ1054-44-41-2012-12-2-13i−3i002-22i−2i000000-1100−ii000000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i32−1−i31+i32−1−i31+i31+i323ζ22−3ζ2200−1−i31+i32ζ22−2ζ220000001+i32−1−i3200−ζ22ζ22000000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i32−1+i31−i32−1+i31−i31−i323ζ14−3ζ1400−1+i31−i32ζ14−2ζ140000001−i32−1+i3200−ζ14ζ14000000
χ1064-44-41-2012-12-2-13i−3i00-22−2i2i0000001-100i−i000000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i32−1−i31+i32−1−i31+i31+i323ζ22−3ζ22001+i3−1−i3−2ζ222ζ22000000−1−i321+i3200ζ22−ζ22000000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i32−1+i31−i32−1+i31−i31−i323ζ14−3ζ14001−i3−1+i3−2ζ142ζ14000000−1+i321−i3200ζ14−ζ14000000
χ1074-44-41-2012-12-2-1−3i3i002-2−2i2i000000-1100i−i000000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i32−1−i31+i32−1−i31+i31+i32−3ζ223ζ2200−1−i31+i3−2ζ222ζ220000001+i32−1−i3200ζ22−ζ22000000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i32−1+i31−i32−1+i31−i31−i32−3ζ143ζ1400−1+i31−i3−2ζ142ζ140000001−i32−1+i3200ζ14−ζ14000000
χ1084-44-41-2012-12-2-1−3i3i00-222i−2i0000001-100−ii000000−2−2i32+2i3−2−2i32+2i3−1−i321+i30−1−i32−1−i31+i32−1−i31+i31+i32−3ζ223ζ22001+i3−1−i32ζ22−2ζ22000000−1−i321+i3200−ζ22ζ22000000−2+2i32−2i3−2+2i32−2i3−1+i321−i30−1+i32−1+i31−i32−1+i31−i31−i32−3ζ143ζ14001−i3−1+i32ζ14−2ζ14000000−1+i321−i3200−ζ14ζ14000000
χ1094-4-44440-44-4-4-4400000000000000000000000000−2−2i32+2i32+2i3−2−2i3−2−2i3−2−2i302+2i3−2−2i32+2i32+2i32+2i3−2−2i300000000000000000000000000−2+2i32−2i32−2i3−2+2i3−2+2i3−2+2i302−2i3−2+2i32−2i32−2i32−2i3−2+2i300000000000000000000000000
χ1104-4-44-210212-1-1-2003i−3i000000000000−i3i3003−30000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i3−1−i32−1−i31+i321+i321+i3003ζ22−3ζ22000000000000−3+i323−i32002ζ14+ζ22−2ζ14−ζ220000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i3−1+i32−1+i31−i321−i321−i3003ζ14−3ζ140000000000003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ220000
χ1114-4-44-210212-1-1-2003i−3i000000000000i3−i300−330000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i3−1−i32−1−i31+i321+i321+i3003ζ22−3ζ220000000000003−i32−3+i3200−2ζ14−ζ222ζ14+ζ220000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i3−1+i32−1+i31−i321−i321−i3003ζ14−3ζ14000000000000−3−i323+i3200ζ14+2ζ22−ζ14−2ζ220000
χ1124-4-44-210212-1-1-200−3i3i000000000000−i3i300−330000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i3−1−i32−1−i31+i321+i321+i300−3ζ223ζ22000000000000−3+i323−i3200−2ζ14−ζ222ζ14+ζ220000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i3−1+i32−1+i31−i321−i321−i300−3ζ143ζ140000000000003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ220000
χ1134-4-44-210212-1-1-200−3i3i000000000000i3−i3003−30000−2−2i32+2i32+2i3−2−2i31+i3−1−i320−1−i3−1−i32−1−i31+i321+i321+i300−3ζ223ζ220000000000003−i32−3+i32002ζ14+ζ22−2ζ14−ζ220000−2+2i32−2i32−2i3−2+2i31−i3−1+i320−1+i3−1+i32−1+i31−i321−i321−i300−3ζ143ζ14000000000000−3−i323+i3200−ζ14−2ζ22ζ14+2ζ220000
χ11488-8-82-40-242-44-200000000000000000000000000−4−4i3−4−4i34+4i34+4i3−1−i32+2i301+i3−2−2i3−1−i32+2i3−2−2i31+i300000000000000000000000000−4+4i3−4+4i34−4i34−4i3−1+i32−2i301−i3−2+2i3−1+i32−2i3−2+2i31−i300000000000000000000000000
χ11588-8-8-4204-2-42-2400000000000000000000000000−4−4i3−4−4i34+4i34+4i32+2i3−1−i30−2−2i31+i32+2i3−1−i31+i3−2−2i300000000000000000000000000−4+4i3−4+4i34−4i34−4i32−2i3−1+i30−2+2i31−i32−2i3−1+i31−i3−2+2i300000000000000000000000000
χ1168-88-8-420-4-24-22400000000000000000000000000−4−4i34+4i3−4−4i34+4i32+2i3−1−i302+2i31+i3−2−2i31+i3−1−i3−2−2i300000000000000000000000000−4+4i34−4i3−4+4i34−4i32−2i3−1+i302−2i31−i3−2+2i31−i3−1+i3−2+2i300000000000000000000000000
χ1178-8-882-40-2-4-244200000000000000000000000000−4−4i34+4i34+4i3−4−4i3−1−i32+2i301+i32+2i31+i3−2−2i3−2−2i3−1−i300000000000000000000000000−4+4i34−4i34−4i3−4+4i3−1+i32−2i301−i32−2i31−i3−2+2i3−2+2i3−1+i300000000000000000000000000

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