Finite Group Databasebeta

← Group #13166875

Character table — Group #13166875

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111144444444488881212121218181818242424242424242424243636363611114444444448888121212121818181824242424242424242424363636361111444444444888812121212181818182424242424242424242436363636
order1222233666666666644444444441212121212121212888836666336666666666121212121212121212121212121212121212242424243666633666666666612121212121212121212121212121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1
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
χ51111-111111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-11111-111111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-11111-111111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1
χ61111-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-1111111-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-1111111-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111
χ71111-111111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1111111-111111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1111111-111111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111
χ81111-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-11111-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-11111-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1
χ9222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000222222222222222220000-2-2-2-200000000000000
χ102222-222222222-2-2-2-2000022-2-2000000000000002222-222222222-2-2-2-2000022-2-2000000000000002222-222222222-2-2-2-2000022-2-200000000000000
χ112-22-2022-2-222-2-2000000002i−2i000000000000−i2i22−22-22-2022-2-222-2-2000000002i−2i000000000000−i2i22−22-22-2022-2-222-2-2000000002i−2i000000000000−i2i22−2
χ122-22-2022-2-222-2-2000000002i−2i000000000000i2−i2−222-22-2022-2-222-2-2000000002i−2i000000000000i2−i2−222-22-2022-2-222-2-2000000002i−2i000000000000i2−i2−22
χ132-22-2022-2-222-2-200000000−2i2i000000000000−i2i2−222-22-2022-2-222-2-200000000−2i2i000000000000−i2i2−222-22-2022-2-222-2-200000000−2i2i000000000000−i2i2−22
χ142-22-2022-2-222-2-200000000−2i2i000000000000i2−i22−22-22-2022-2-222-2-200000000−2i2i000000000000i2−i22−22-22-2022-2-222-2-200000000−2i2i000000000000i2−i22−2
χ152-2-220222-2-2-22-20000002i−2i002-200002i−2i000000002-2-220222-2-2-22-20000002i−2i002-200002i−2i000000002-2-220222-2-2-22-20000002i−2i002-200002i−2i00000000
χ162-2-220222-2-2-22-2000000−2i2i002-20000−2i2i000000002-2-220222-2-2-22-2000000−2i2i002-20000−2i2i000000002-2-220222-2-2-22-2000000−2i2i002-20000−2i2i00000000
χ172-2-220222-2-2-22-200002i−2i0000-22002i−2i00000000002-2-220222-2-2-22-200002i−2i0000-22002i−2i00000000002-2-220222-2-2-22-200002i−2i0000-22002i−2i0000000000
χ182-2-220222-2-2-22-20000−2i2i0000-2200−2i2i00000000002-2-220222-2-2-22-20000−2i2i0000-2200−2i2i00000000002-2-220222-2-2-22-20000−2i2i0000-2200−2i2i0000000000
χ19444441-21-21-2-2111-2-22222000000-1-1-1-100000000444441-21-21-2-2111-2-22222000000-1-1-1-100000000444441-21-21-2-2111-2-22222000000-1-1-1-100000000
χ20444441-21-21-2-2111-2-2-2-2-2-2000000111100000000444441-21-21-2-2111-2-2-2-2-2-2000000111100000000444441-21-21-2-2111-2-2-2-2-2-2000000111100000000
χ2144444-21-21-211-2-2-21100000000220000-1-1-1-1000044444-21-21-211-2-2-21100000000220000-1-1-1-1000044444-21-21-211-2-2-21100000000220000-1-1-1-10000
χ2244444-21-21-211-2-2-21100000000-2-200001111000044444-21-21-211-2-2-21100000000-2-200001111000044444-21-21-211-2-2-21100000000-2-2000011110000
χ234444-41-21-21-2-21-1-12222-2-2000000-1-111000000004444-41-21-21-2-21-1-12222-2-2000000-1-111000000004444-41-21-21-2-21-1-12222-2-2000000-1-11100000000
χ244444-41-21-21-2-21-1-122-2-22200000011-1-1000000004444-41-21-21-2-21-1-122-2-22200000011-1-1000000004444-41-21-21-2-21-1-122-2-22200000011-1-100000000
χ254444-4-21-21-211-222-1-1000000002-20000-1-11100004444-4-21-21-211-222-1-1000000002-20000-1-11100004444-4-21-21-211-222-1-1000000002-20000-1-1110000
χ264444-4-21-21-211-222-1-100000000-22000011-1-100004444-4-21-21-211-222-1-100000000-22000011-1-100004444-4-21-21-211-222-1-100000000-22000011-1-10000
χ2744-4-4044-44-4-4-440000000000000000000000000044-4-4044-44-4-4-440000000000000000000000000044-4-4044-44-4-4-4400000000000000000000000000
χ2844-4-40-21212-1-1-2003-3000000000000003−33−3000044-4-40-21212-1-1-2003-3000000000000003−33−3000044-4-40-21212-1-1-2003-3000000000000003−33−30000
χ2944-4-40-21212-1-1-2003-300000000000000−33−33000044-4-40-21212-1-1-2003-300000000000000−33−33000044-4-40-21212-1-1-2003-300000000000000−33−330000
χ3044-4-40-21212-1-1-200-33000000000000003−3−33000044-4-40-21212-1-1-200-33000000000000003−3−33000044-4-40-21212-1-1-200-33000000000000003−3−330000
χ3144-4-40-21212-1-1-200-3300000000000000−333−3000044-4-40-21212-1-1-200-3300000000000000−333−3000044-4-40-21212-1-1-200-3300000000000000−333−30000
χ324-4-4401-212-12-2-13-3002i−2i2i−2i000000−ii−ii000000004-4-4401-212-12-2-13-3002i−2i2i−2i000000−ii−ii000000004-4-4401-212-12-2-13-3002i−2i2i−2i000000−ii−ii00000000
χ334-4-4401-212-12-2-13-300−2i2i−2i2i000000i−ii−i000000004-4-4401-212-12-2-13-300−2i2i−2i2i000000i−ii−i000000004-4-4401-212-12-2-13-300−2i2i−2i2i000000i−ii−i00000000
χ344-4-4401-212-12-2-1-33002i−2i−2i2i000000−iii−i000000004-4-4401-212-12-2-1-33002i−2i−2i2i000000−iii−i000000004-4-4401-212-12-2-1-33002i−2i−2i2i000000−iii−i00000000
χ354-4-4401-212-12-2-1-3300−2i2i2i−2i000000i−i−ii000000004-4-4401-212-12-2-1-3300−2i2i2i−2i000000i−i−ii000000004-4-4401-212-12-2-1-3300−2i2i2i−2i000000i−i−ii00000000
χ3688-8-802-4-2-4-24420000000000000000000000000088-8-802-4-2-4-24420000000000000000000000000088-8-802-4-2-4-244200000000000000000000000000
χ378-88-802-4-242-44-2000000000000000000000000008-88-802-4-242-44-2000000000000000000000000008-88-802-4-242-44-200000000000000000000000000
χ388-88-80-424-2-42-24000000000000000000000000008-88-80-424-2-42-24000000000000000000000000008-88-80-424-2-42-2400000000000000000000000000
χ398-8-880-42-4-24-224000000000000000000000000008-8-880-42-4-24-224000000000000000000000000008-8-880-42-4-24-22400000000000000000000000000
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
χ411111111111111111111111111-1-11111-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+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−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−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ4211111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1−1+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+i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321+i321+i32−1−i32−1−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
χ441111-111111111-1-1-1-111-1-1-1-1111-111-1-111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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−i321+i32−1−i32−1−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
χ451111-111111111-1-1-1-111-1-1-1-111-1111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+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+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−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ461111-111111111-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−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+i321−i321−i32−1+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−i321+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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ471111-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−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+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−i321+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−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
χ492222-222222222-2-2-2-2000022-2-200000000000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+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−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000−1−i3−1−i31+i31+i300000000000000
χ502-22-2022-2-222-2-2000000002i−2i000000000000−i2i22−2−1+i31−i3−1+i31−i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000002ζ14−2ζ14000000000000ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23−1−i31+i3−1−i31+i30−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000002ζ22−2ζ22000000000000ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13
χ512-22-2022-2-222-2-2000000002i−2i000000000000i2−i2−22−1+i31−i3−1+i31−i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000002ζ14−2ζ14000000000000−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−1−i31+i3−1−i31+i30−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000002ζ22−2ζ22000000000000−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13
χ522-22-2022-2-222-2-200000000−2i2i000000000000−i2i2−22−1+i31−i3−1+i31−i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000−2ζ142ζ14000000000000ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23−1−i31+i3−1−i31+i30−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000−2ζ222ζ22000000000000ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13
χ532-22-2022-2-222-2-200000000−2i2i000000000000i2−i22−2−1+i31−i3−1+i31−i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000−2ζ142ζ14000000000000−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23−1−i31+i3−1−i31+i30−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000−2ζ222ζ22000000000000−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13
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χ552-2-220222-2-2-22-2000000−2i2i002-20000−2i2i00000000−1+i31−i31−i3−1+i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3000000−2ζ142ζ1400−1+i31−i30000−2ζ142ζ1400000000−1−i31+i31+i3−1−i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3000000−2ζ222ζ2200−1−i31+i30000−2ζ222ζ2200000000
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χ861111-111111111-1-1-1-1-1-111-1-111-11-1-111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+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−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+i321−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+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
χ882222-222222222-2-2-2-2000022-2-200000000000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−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+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000−1+i3−1+i31−i31−i300000000000000
χ892-22-2022-2-222-2-2000000002i−2i000000000000−i2i22−2−1−i31+i3−1−i31+i30−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000002ζ22−2ζ22000000000000ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13−1+i31−i3−1+i31−i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000002ζ14−2ζ14000000000000ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23
χ902-22-2022-2-222-2-2000000002i−2i000000000000i2−i2−22−1−i31+i3−1−i31+i30−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i3000000002ζ22−2ζ22000000000000−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13−1+i31−i3−1+i31−i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i3000000002ζ14−2ζ14000000000000−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23
χ912-22-2022-2-222-2-200000000−2i2i000000000000−i2i2−22−1−i31+i3−1−i31+i30−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000−2ζ222ζ22000000000000ζ7+ζ13−ζ7−ζ13ζ7−ζ13−ζ7+ζ13−1+i31−i3−1+i31−i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000−2ζ142ζ14000000000000ζ5+ζ23−ζ5−ζ23−ζ5+ζ23ζ5−ζ23
χ922-22-2022-2-222-2-200000000−2i2i000000000000i2−i22−2−1−i31+i3−1−i31+i30−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i300000000−2ζ222ζ22000000000000−ζ7−ζ13ζ7+ζ13−ζ7+ζ13ζ7−ζ13−1+i31−i3−1+i31−i30−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i300000000−2ζ142ζ14000000000000−ζ5−ζ23ζ5+ζ23ζ5−ζ23−ζ5+ζ23
χ932-2-220222-2-2-22-20000002i−2i002-200002i−2i00000000−1−i31+i31+i3−1−i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i30000002ζ22−2ζ2200−1−i31+i300002ζ22−2ζ2200000000−1+i31−i31−i3−1+i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i30000002ζ14−2ζ1400−1+i31−i300002ζ14−2ζ1400000000
χ942-2-220222-2-2-22-2000000−2i2i002-20000−2i2i00000000−1−i31+i31+i3−1−i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i3000000−2ζ222ζ2200−1−i31+i30000−2ζ222ζ2200000000−1+i31−i31−i3−1+i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i3000000−2ζ142ζ1400−1+i31−i30000−2ζ142ζ1400000000
χ952-2-220222-2-2-22-200002i−2i0000-22002i−2i0000000000−1−i31+i31+i3−1−i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i300002ζ22−2ζ2200001+i3−1−i3002ζ22−2ζ220000000000−1+i31−i31−i3−1+i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i300002ζ14−2ζ1400001−i3−1+i3002ζ14−2ζ140000000000
χ962-2-220222-2-2-22-20000−2i2i0000-2200−2i2i0000000000−1−i31+i31+i3−1−i30−1−i3−1−i3−1−i31+i31+i31+i3−1−i31+i30000−2ζ222ζ2200001+i3−1−i300−2ζ222ζ220000000000−1+i31−i31−i3−1+i30−1+i3−1+i3−1+i31−i31−i31−i3−1+i31−i30000−2ζ142ζ1400001−i3−1+i300−2ζ142ζ140000000000
χ97444441-21-21-2-2111-2-22222000000-1-1-1-100000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i3−1−i3−1−i3−1−i3−1−i30000001+i321+i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i3−1+i3−1+i3−1+i3−1+i30000001−i321−i321−i321−i3200000000
χ98444441-21-21-2-2111-2-2-2-2-2-2000000111100000000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i321+i31+i31+i31+i31+i31+i3000000−1−i32−1−i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i321−i31−i31−i31−i31−i31−i3000000−1+i32−1+i32−1+i32−1+i3200000000
χ9944444-21-21-211-2-2-21100000000220000-1-1-1-10000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i3200000000−1−i3−1−i300001+i321+i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i3200000000−1+i3−1+i300001−i321−i321−i321−i320000
χ10044444-21-21-211-2-2-21100000000-2-2000011110000−2−2i3−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i31+i31+i3−1−i32−1−i32000000001+i31+i30000−1−i32−1−i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i31−i31−i3−1+i32−1+i32000000001−i31−i30000−1+i32−1+i32−1+i32−1+i320000
χ1014444-41-21-21-2-21-1-12222-2-2000000-1-11100000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i31+i3−1−i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i31+i30000001+i321+i32−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i31−i3−1+i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i31−i30000001−i321−i32−1+i32−1+i3200000000
χ1024444-41-21-21-2-21-1-122-2-22200000011-1-100000000−2−2i3−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i31+i3−1−i321+i321+i32−1−i3−1−i31+i31+i3−1−i3−1−i3000000−1−i32−1−i321+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i31−i3−1+i321−i321−i32−1+i3−1+i31−i31−i3−1+i3−1+i3000000−1+i32−1+i321−i321−i3200000000
χ1034444-4-21-21-211-222-1-1000000002-20000-1-1110000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i3200000000−1−i31+i300001+i321+i32−1−i32−1−i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i3−1+i3−1+i31−i321−i3200000000−1+i31−i300001−i321−i32−1+i32−1+i320000
χ1044444-4-21-21-211-222-1-100000000-22000011-1-10000−2−2i3−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32−1−i321+i3−1−i3−1−i31+i321+i32000000001+i3−1−i30000−1−i32−1−i321+i321+i320000−2+2i3−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32−1+i321−i3−1+i3−1+i31−i321−i32000000001−i3−1+i30000−1+i32−1+i321−i321−i320000
χ10544-4-4044-44-4-4-4400000000000000000000000000−2−2i3−2−2i32+2i32+2i30−2−2i3−2−2i32+2i3−2−2i32+2i32+2i32+2i3−2−2i300000000000000000000000000−2+2i3−2+2i32−2i32−2i30−2+2i3−2+2i32−2i3−2+2i32−2i32−2i32−2i3−2+2i300000000000000000000000000
χ10644-4-40-21212-1-1-2003-3000000000000003−33−30000−2−2i3−2−2i32+2i32+2i301+i3−1−i32−1−i3−1−i32−1−i31+i321+i321+i300−3−3i323+3i32000000000000002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ220000−2+2i3−2+2i32−2i32−2i301−i3−1+i32−1+i3−1+i32−1+i31−i321−i321−i300−3+3i323−3i3200000000000000−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ220000
χ10744-4-40-21212-1-1-2003-300000000000000−33−330000−2−2i3−2−2i32+2i32+2i301+i3−1−i32−1−i3−1−i32−1−i31+i321+i321+i300−3−3i323+3i3200000000000000−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ220000−2+2i3−2+2i32−2i32−2i301−i3−1+i32−1+i3−1+i32−1+i31−i321−i321−i300−3+3i323−3i3200000000000000ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ220000
χ10844-4-40-21212-1-1-200-33000000000000003−3−330000−2−2i3−2−2i32+2i32+2i301+i3−1−i32−1−i3−1−i32−1−i31+i321+i321+i3003+3i32−3−3i32000000000000002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ220000−2+2i3−2+2i32−2i32−2i301−i3−1+i32−1+i3−1+i32−1+i31−i321−i321−i3003−3i32−3+3i3200000000000000−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ220000
χ10944-4-40-21212-1-1-200-3300000000000000−333−30000−2−2i3−2−2i32+2i32+2i301+i3−1−i32−1−i3−1−i32−1−i31+i321+i321+i3003+3i32−3−3i3200000000000000−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ220000−2+2i3−2+2i32−2i32−2i301−i3−1+i32−1+i3−1+i32−1+i31−i321−i321−i3003−3i32−3+3i3200000000000000ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ220000
χ1104-4-4401-212-12-2-13-3002i−2i2i−2i000000−ii−ii00000000−2−2i32+2i32+2i3−2−2i30−1−i321+i3−1−i32−1−i31+i32−1−i31+i31+i32−3−3i323+3i32002ζ22−2ζ222ζ22−2ζ22000000−ζ22ζ22−ζ22ζ2200000000−2+2i32−2i32−2i3−2+2i30−1+i321−i3−1+i32−1+i31−i32−1+i31−i31−i32−3+3i323−3i32002ζ14−2ζ142ζ14−2ζ14000000−ζ14ζ14−ζ14ζ1400000000
χ1114-4-4401-212-12-2-13-300−2i2i−2i2i000000i−ii−i00000000−2−2i32+2i32+2i3−2−2i30−1−i321+i3−1−i32−1−i31+i32−1−i31+i31+i32−3−3i323+3i3200−2ζ222ζ22−2ζ222ζ22000000ζ22−ζ22ζ22−ζ2200000000−2+2i32−2i32−2i3−2+2i30−1+i321−i3−1+i32−1+i31−i32−1+i31−i31−i32−3+3i323−3i3200−2ζ142ζ14−2ζ142ζ14000000ζ14−ζ14ζ14−ζ1400000000
χ1124-4-4401-212-12-2-1-33002i−2i−2i2i000000−iii−i00000000−2−2i32+2i32+2i3−2−2i30−1−i321+i3−1−i32−1−i31+i32−1−i31+i31+i323+3i32−3−3i32002ζ22−2ζ22−2ζ222ζ22000000−ζ22ζ22ζ22−ζ2200000000−2+2i32−2i32−2i3−2+2i30−1+i321−i3−1+i32−1+i31−i32−1+i31−i31−i323−3i32−3+3i32002ζ14−2ζ14−2ζ142ζ14000000−ζ14ζ14ζ14−ζ1400000000
χ1134-4-4401-212-12-2-1-3300−2i2i2i−2i000000i−i−ii00000000−2−2i32+2i32+2i3−2−2i30−1−i321+i3−1−i32−1−i31+i32−1−i31+i31+i323+3i32−3−3i3200−2ζ222ζ222ζ22−2ζ22000000ζ22−ζ22−ζ22ζ2200000000−2+2i32−2i32−2i3−2+2i30−1+i321−i3−1+i32−1+i31−i32−1+i31−i31−i323−3i32−3+3i3200−2ζ142ζ142ζ14−2ζ14000000ζ14−ζ14−ζ14ζ1400000000
χ11488-8-802-4-2-4-244200000000000000000000000000−4−4i3−4−4i34+4i34+4i30−1−i32+2i31+i32+2i31+i3−2−2i3−2−2i3−1−i300000000000000000000000000−4+4i3−4+4i34−4i34−4i30−1+i32−2i31−i32−2i31−i3−2+2i3−2+2i3−1+i300000000000000000000000000
χ1158-88-802-4-242-44-200000000000000000000000000−4−4i34+4i3−4−4i34+4i30−1−i32+2i31+i3−2−2i3−1−i32+2i3−2−2i31+i300000000000000000000000000−4+4i34−4i3−4+4i34−4i30−1+i32−2i31−i3−2+2i3−1+i32−2i3−2+2i31−i300000000000000000000000000
χ1168-88-80-424-2-42-2400000000000000000000000000−4−4i34+4i3−4−4i34+4i302+2i3−1−i3−2−2i31+i32+2i3−1−i31+i3−2−2i300000000000000000000000000−4+4i34−4i3−4+4i34−4i302−2i3−1+i3−2+2i31−i32−2i3−1+i31−i3−2+2i300000000000000000000000000
χ1178-8-880-42-4-24-22400000000000000000000000000−4−4i34+4i34+4i3−4−4i302+2i3−1−i32+2i31+i3−2−2i31+i3−1−i3−2−2i300000000000000000000000000−4+4i34−4i34−4i3−4+4i302−2i3−1+i32−2i31−i3−2+2i31−i3−1+i3−2+2i300000000000000000000000000

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