Finite Group Databasebeta

← Group #13170733

Character table — Group #13170733

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size11222226611222226622444441212224444412123366666181833666661818224444412122244444121244888882424448888824246612121212123636661212121212363633666661818336666618186612121212123636661212121212363699181818181854549918181818185454
order123461212222264612122236312612126666612612126644124121212444412412121244363126121266666126121266363126121266666126121266121212121212121212121212121212121212226461212222264612122266612612126666612612126644124121212444412412121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ3111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1
χ4111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11
χ522-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100
χ622-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100
χ72-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-200002-220-20000
χ82-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300
χ92-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−33002-2-101−3300
χ10111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ12111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11-1-1-11-111-11111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11-1-1-11-111-11111-11-1-11-1111-11-1-11-1111-11-1-11-1111-11-1-11-1-1-1-11-111-11-1-1-11-111-11
χ13111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1-1-1-11-1111-1111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1-1-1-11-1111-1111-11-1-1-11111-11-1-1-11111-11-1-1-11111-11-1-1-11-1-1-11-1111-1-1-1-11-1111-1
χ1422-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-211100-2-21-21110022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-211100-2-21-21110022-12-1-1-10022-12-1-1-10022-12-1-1-10022-12-1-1-100-2-21-211100-2-21-211100
χ1522-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-100-2-2121-1-10022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-100-2-2121-1-10022-1-2-1110022-1-2-1110022-1-2-1110022-1-2-11100-2-2121-1-100-2-2121-1-100
χ162-220-200002-220-200002-220-200002-220-20000-22-2020000-22-20200002-220-200002-220-200002-220-200002-220-20000-22-2020000-22-20200002-220-200002-220-200002-220-200002-220-20000-22-2020000-22-2020000
χ172-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300-2210-1−3300-2210-1−33002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300-2210-1−3300-2210-1−33002-2-1013−3002-2-1013−3002-2-1013−3002-2-1013−300-2210-1−3300-2210-1−3300
χ182-2-101−33002-2-101−33002-2-101−33002-2-101−3300-2210-13−300-2210-13−3002-2-101−33002-2-101−33002-2-101−33002-2-101−3300-2210-13−300-2210-13−3002-2-101−33002-2-101−33002-2-101−33002-2-101−3300-2210-13−300-2210-13−300
χ19111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1iiiiiiiii−i−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1iiiiiiiii−i−i−i−i−i−i−i−i−i111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1iiiiiiiii−i−i−i−i−i−i−i−i−i
χ201111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111iiiiiii−i−i−i−i−i−i−i−i−iii1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111iiiiiii−i−i−i−i−i−i−i−i−iii1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111iiiiiii−i−i−i−i−i−i−i−i−iii
χ21111-11-1-11-1-1-1-11-111-11111-11-1-11-1-1-1-11-111-11iii−ii−i−ii−i−i−i−ii−iii−ii111-11-1-11-1-1-1-11-111-11111-11-1-11-1-1-1-11-111-11iii−ii−i−ii−i−i−i−ii−iii−ii111-11-1-11-1-1-1-11-111-11111-11-1-11-1-1-1-11-111-11iii−ii−i−ii−i−i−i−ii−iii−ii
χ22111-11-1-1-11-1-1-11-1111-1111-11-1-1-11-1-1-11-1111-1iii−ii−i−i−ii−i−i−ii−iiii−i111-11-1-1-11-1-1-11-1111-1111-11-1-1-11-1-1-11-1111-1iii−ii−i−i−ii−i−i−ii−iiii−i111-11-1-1-11-1-1-11-1111-1111-11-1-1-11-1-1-11-1111-1iii−ii−i−i−ii−i−i−ii−iiii−i
χ2322-12-1-1-100-2-21-21110022-12-1-1-100-2-21-2111002i2i−i2i−i−i−i00−2i−2ii−2iiii0022-12-1-1-100-2-21-21110022-12-1-1-100-2-21-2111002i2i−i2i−i−i−i00−2i−2ii−2iiii0022-12-1-1-100-2-21-21110022-12-1-1-100-2-21-2111002i2i−i2i−i−i−i00−2i−2ii−2iiii00
χ2422-1-2-11100-2-2121-1-10022-1-2-11100-2-2121-1-1002i2i−i−2i−iii00−2i−2ii2ii−i−i0022-1-2-11100-2-2121-1-10022-1-2-11100-2-2121-1-1002i2i−i−2i−iii00−2i−2ii2ii−i−i0022-1-2-11100-2-2121-1-10022-1-2-11100-2-2121-1-1002i2i−i−2i−iii00−2i−2ii2ii−i−i00
χ252-220-20000-22-20200002-220-20000-22-20200002i−2i2i0−2i0000−2i2i−2i02i00002-220-20000-22-20200002-220-20000-22-20200002i−2i2i0−2i0000−2i2i−2i02i00002-220-20000-22-20200002-220-20000-22-20200002i−2i2i0−2i0000−2i2i−2i02i0000
χ262-2-1013−300-2210-1−33002-2-1013−300-2210-1−33002i−2i−i0ii3−i300−2i2ii0−i−i3i3002-2-1013−300-2210-1−33002-2-1013−300-2210-1−33002i−2i−i0ii3−i300−2i2ii0−i−i3i3002-2-1013−300-2210-1−33002-2-1013−300-2210-1−33002i−2i−i0ii3−i300−2i2ii0−i−i3i300
χ272-2-101−3300-2210-13−3002-2-101−3300-2210-13−3002i−2i−i0i−i3i300−2i2ii0−ii3−i3002-2-101−3300-2210-13−3002-2-101−3300-2210-13−3002i−2i−i0i−i3i300−2i2ii0−ii3−i3002-2-101−3300-2210-13−3002-2-101−3300-2210-13−3002i−2i−i0i−i3i300−2i2ii0−ii3−i300
χ28111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−iiiiiiiiii111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−iiiiiiiiii111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−iiiiiiiiii
χ291111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−iiiiiiiiii−i−i1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−iiiiiiiiii−i−i1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111−i−i−i−i−i−i−iiiiiiiiii−i−i
χ30111-11-1-11-1-1-1-11-111-11111-11-1-11-1-1-1-11-111-11−i−i−ii−iii−iiiii−ii−i−ii−i111-11-1-11-1-1-1-11-111-11111-11-1-11-1-1-1-11-111-11−i−i−ii−iii−iiiii−ii−i−ii−i111-11-1-11-1-1-1-11-111-11111-11-1-11-1-1-1-11-111-11−i−i−ii−iii−iiiii−ii−i−ii−i
χ31111-11-1-1-11-1-1-11-1111-1111-11-1-1-11-1-1-11-1111-1−i−i−ii−iiii−iiii−ii−i−i−ii111-11-1-1-11-1-1-11-1111-1111-11-1-1-11-1-1-11-1111-1−i−i−ii−iiii−iiii−ii−i−i−ii111-11-1-1-11-1-1-11-1111-1111-11-1-1-11-1-1-11-1111-1−i−i−ii−iiii−iiii−ii−i−i−ii
χ3222-12-1-1-100-2-21-21110022-12-1-1-100-2-21-211100−2i−2ii−2iiii002i2i−i2i−i−i−i0022-12-1-1-100-2-21-21110022-12-1-1-100-2-21-211100−2i−2ii−2iiii002i2i−i2i−i−i−i0022-12-1-1-100-2-21-21110022-12-1-1-100-2-21-211100−2i−2ii−2iiii002i2i−i2i−i−i−i00
χ3322-1-2-11100-2-2121-1-10022-1-2-11100-2-2121-1-100−2i−2ii2ii−i−i002i2i−i−2i−iii0022-1-2-11100-2-2121-1-10022-1-2-11100-2-2121-1-100−2i−2ii2ii−i−i002i2i−i−2i−iii0022-1-2-11100-2-2121-1-10022-1-2-11100-2-2121-1-100−2i−2ii2ii−i−i002i2i−i−2i−iii00
χ342-220-20000-22-20200002-220-20000-22-2020000−2i2i−2i02i00002i−2i2i0−2i00002-220-20000-22-20200002-220-20000-22-2020000−2i2i−2i02i00002i−2i2i0−2i00002-220-20000-22-20200002-220-20000-22-2020000−2i2i−2i02i00002i−2i2i0−2i0000
χ352-2-1013−300-2210-1−33002-2-1013−300-2210-1−3300−2i2ii0−i−i3i3002i−2i−i0ii3−i3002-2-1013−300-2210-1−33002-2-1013−300-2210-1−3300−2i2ii0−i−i3i3002i−2i−i0ii3−i3002-2-1013−300-2210-1−33002-2-1013−300-2210-1−3300−2i2ii0−i−i3i3002i−2i−i0ii3−i300
χ362-2-101−3300-2210-13−3002-2-101−3300-2210-13−300−2i2ii0−ii3−i3002i−2i−i0i−i3i3002-2-101−3300-2210-13−3002-2-101−3300-2210-13−300−2i2ii0−ii3−i3002i−2i−i0i−i3i3002-2-101−3300-2210-13−3002-2-101−3300-2210-13−300−2i2ii0−ii3−i3002i−2i−i0i−i3i300
χ37222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ382222222-2-22222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-1110000000000000000002222222-2-22222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-1110000000000000000002222222-2-22222222-2-2-1-1-1-1-1-1-111-1-1-1-1-1-1-111000000000000000000
χ39222-22-2-22-2222-22-2-22-2-1-1-11-111-11-1-1-11-111-11000000000000000000222-22-2-22-2222-22-2-22-2-1-1-11-111-11-1-1-11-111-11000000000000000000222-22-2-22-2222-22-2-22-2-1-1-11-111-11-1-1-11-111-11000000000000000000
χ40222-22-2-2-22222-22-2-2-22-1-1-11-1111-1-1-1-11-1111-1000000000000000000222-22-2-2-22222-22-2-2-22-1-1-11-1111-1-1-1-11-1111-1000000000000000000222-22-2-2-22222-22-2-2-22-1-1-11-1111-1-1-1-11-1111-1000000000000000000
χ4144-24-2-2-20044-24-2-2-200-2-21-211100-2-21-21110000000000000000000044-24-2-2-20044-24-2-2-200-2-21-211100-2-21-21110000000000000000000044-24-2-2-20044-24-2-2-200-2-21-211100-2-21-211100000000000000000000
χ4244-2-4-2220044-2-4-22200-2-2121-1-100-2-2121-1-10000000000000000000044-2-4-2220044-2-4-22200-2-2121-1-100-2-2121-1-10000000000000000000044-2-4-2220044-2-4-22200-2-2121-1-100-2-2121-1-100000000000000000000
χ434-440-400004-440-40000-22-2020000-22-20200000000000000000000004-440-400004-440-40000-22-2020000-22-20200000000000000000000004-440-400004-440-40000-22-2020000-22-2020000000000000000000000
χ444-4-20223−23004-4-20223−2300-2210-1−3300-2210-1−33000000000000000000004-4-20223−23004-4-20223−2300-2210-1−3300-2210-1−33000000000000000000004-4-20223−23004-4-20223−2300-2210-1−3300-2210-1−3300000000000000000000
χ454-4-202−2323004-4-202−232300-2210-13−300-2210-13−3000000000000000000004-4-202−2323004-4-202−232300-2210-13−300-2210-13−3000000000000000000004-4-202−2323004-4-202−232300-2210-13−300-2210-13−300000000000000000000
χ46222222222-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111000000000000000000222222222-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111000000000000000000222222222-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111000000000000000000
χ472222222-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1111111111-1-10000000000000000002222222-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1111111111-1-10000000000000000002222222-2-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1111111111-1-1000000000000000000
χ48222-22-2-22-2-2-2-22-222-22-1-1-11-111-11111-11-1-11-1000000000000000000222-22-2-22-2-2-2-22-222-22-1-1-11-111-11111-11-1-11-1000000000000000000222-22-2-22-2-2-2-22-222-22-1-1-11-111-11111-11-1-11-1000000000000000000
χ49222-22-2-2-22-2-2-22-2222-2-1-1-11-1111-1111-11-1-1-11000000000000000000222-22-2-2-22-2-2-22-2222-2-1-1-11-1111-1111-11-1-1-11000000000000000000222-22-2-2-22-2-2-22-2222-2-1-1-11-1111-1111-11-1-1-11000000000000000000
χ5044-24-2-2-200-4-42-422200-2-21-21110022-12-1-1-10000000000000000000044-24-2-2-200-4-42-422200-2-21-21110022-12-1-1-10000000000000000000044-24-2-2-200-4-42-422200-2-21-21110022-12-1-1-100000000000000000000
χ5144-2-4-22200-4-4242-2-200-2-2121-1-10022-1-2-1110000000000000000000044-2-4-22200-4-4242-2-200-2-2121-1-10022-1-2-1110000000000000000000044-2-4-22200-4-4242-2-200-2-2121-1-10022-1-2-11100000000000000000000
χ524-440-40000-44-4040000-22-20200002-220-200000000000000000000004-440-40000-44-4040000-22-20200002-220-200000000000000000000004-440-40000-44-4040000-22-20200002-220-20000000000000000000000
χ534-4-20223−2300-4420-2−232300-2210-1−33002-2-1013−3000000000000000000004-4-20223−2300-4420-2−232300-2210-1−33002-2-1013−3000000000000000000004-4-20223−2300-4420-2−232300-2210-1−33002-2-1013−300000000000000000000
χ544-4-202−232300-4420-223−2300-2210-13−3002-2-101−33000000000000000000004-4-202−232300-4420-223−2300-2210-13−3002-2-101−33000000000000000000004-4-202−232300-4420-223−2300-2210-13−3002-2-101−3300000000000000000000
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χ11444-2-4-2220044-2-4-2220044-2-4-2220044-2-4-2220044-2-4-2220044-2-4-22200-2-2121-1-100-2-2121-1-100-2-2121-1-100-2-2121-1-100-2-2121-1-100-2-2121-1-100000000000000000000000000000000000000000000000000000000
χ1154-440-400004-440-400004-440-400004-440-400004-440-400004-440-40000-22-2020000-22-2020000-22-2020000-22-2020000-22-2020000-22-2020000000000000000000000000000000000000000000000000000000000
χ1164-4-20223−23004-4-20223−23004-4-20223−23004-4-20223−23004-4-20223−23004-4-20223−2300-2210-1−3300-2210-1−3300-2210-1−3300-2210-1−3300-2210-1−3300-2210-1−3300000000000000000000000000000000000000000000000000000000
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χ118222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111000000000000000000000000000000000000000000000000000000
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χ120222-22-2-22-2222-22-2-22-2222-22-2-22-2222-22-2-22-2-2-2-22-222-22-2-2-22-222-22-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11-1-1-11-111-11111-11-1-11-1111-11-1-11-1000000000000000000000000000000000000000000000000000000
χ121222-22-2-2-22222-22-2-2-22222-22-2-2-22222-22-2-2-22-2-2-22-2222-2-2-2-22-2222-2-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1-1-1-11-1111-1111-11-1-1-11111-11-1-1-11000000000000000000000000000000000000000000000000000000
χ12244-24-2-2-20044-24-2-2-20044-24-2-2-20044-24-2-2-200-4-42-422200-4-42-422200-2-21-211100-2-21-211100-2-21-211100-2-21-21110022-12-1-1-10022-12-1-1-100000000000000000000000000000000000000000000000000000000
χ12344-2-4-2220044-2-4-2220044-2-4-2220044-2-4-22200-4-4242-2-200-4-4242-2-200-2-2121-1-100-2-2121-1-100-2-2121-1-100-2-2121-1-10022-1-2-1110022-1-2-11100000000000000000000000000000000000000000000000000000000
χ1244-440-400004-440-400004-440-400004-440-40000-44-4040000-44-4040000-22-2020000-22-2020000-22-2020000-22-20200002-220-200002-220-20000000000000000000000000000000000000000000000000000000000
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χ1264-4-202−2323004-4-202−2323004-4-202−2323004-4-202−232300-4420-223−2300-4420-223−2300-2210-13−300-2210-13−300-2210-13−300-2210-13−3002-2-101−33002-2-101−3300000000000000000000000000000000000000000000000000000000
χ127222222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111−i−i−i−i−i−i−i−i−iiiiiiiiii000000000000000000000000000000000000000000000000000000
χ1282222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2222i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1−i−i−i−i−i−i−iiiiiiiiii−i−i000000000000000000000000000000000000000000000000000000
χ129222-22-2-22-2-2-2-22-222-22222-22-2-22-2-2-2-22-222-222i2i2i−2i2i−2i−2i2i−2i−2i−2i−2i2i−2i2i2i−2i2i-1-1-11-111-11111-11-1-11-1-1-1-11-111-11111-11-1-11-1−i−i−ii−iii−iiiii−ii−i−ii−i000000000000000000000000000000000000000000000000000000
χ130222-22-2-2-22-2-2-22-2222-2222-22-2-2-22-2-2-22-2222-22i2i2i−2i2i−2i−2i−2i2i−2i−2i−2i2i−2i2i2i2i−2i-1-1-11-1111-1111-11-1-1-11-1-1-11-1111-1111-11-1-1-11−i−i−ii−iiii−iiii−ii−i−i−ii000000000000000000000000000000000000000000000000000000
χ13144-24-2-2-200-4-42-42220044-24-2-2-200-4-42-4222004i4i−2i4i−2i−2i−2i00−4i−4i2i−4i2i2i2i00-2-21-21110022-12-1-1-100-2-21-21110022-12-1-1-100−2i−2ii−2iiii002i2i−i2i−i−i−i00000000000000000000000000000000000000000000000000000000
χ13244-2-4-22200-4-4242-2-20044-2-4-22200-4-4242-2-2004i4i−2i−4i−2i2i2i00−4i−4i2i4i2i−2i−2i00-2-2121-1-10022-1-2-11100-2-2121-1-10022-1-2-11100−2i−2ii2ii−i−i002i2i−i−2i−iii00000000000000000000000000000000000000000000000000000000
χ1334-440-40000-44-40400004-440-40000-44-40400004i−4i4i0−4i0000−4i4i−4i04i0000-22-20200002-220-20000-22-20200002-220-20000−2i2i−2i02i00002i−2i2i0−2i0000000000000000000000000000000000000000000000000000000000
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χ1354-4-202−232300-4420-223−23004-4-202−232300-4420-223−23004i−4i−2i02i−2i32i300−4i4i2i0−2i2i3−2i300-2210-13−3002-2-101−3300-2210-13−3002-2-101−3300−2i2ii0−ii3−i3002i−2i−i0i−i3i300000000000000000000000000000000000000000000000000000000
χ136222222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111iiiiiiiii−i−i−i−i−i−i−i−i−i000000000000000000000000000000000000000000000000000000
χ1372222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i−2i−2i-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1iiiiiii−i−i−i−i−i−i−i−i−iii000000000000000000000000000000000000000000000000000000
χ138222-22-2-22-2-2-2-22-222-22222-22-2-22-2-2-2-22-222-22−2i−2i−2i2i−2i2i2i−2i2i2i2i2i−2i2i−2i−2i2i−2i-1-1-11-111-11111-11-1-11-1-1-1-11-111-11111-11-1-11-1iii−ii−i−ii−i−i−i−ii−iii−ii000000000000000000000000000000000000000000000000000000
χ139222-22-2-2-22-2-2-22-2222-2222-22-2-2-22-2-2-22-2222-2−2i−2i−2i2i−2i2i2i2i−2i2i2i2i−2i2i−2i−2i−2i2i-1-1-11-1111-1111-11-1-1-11-1-1-11-1111-1111-11-1-1-11iii−ii−i−i−ii−i−i−ii−iiii−i000000000000000000000000000000000000000000000000000000
χ14044-24-2-2-200-4-42-42220044-24-2-2-200-4-42-422200−4i−4i2i−4i2i2i2i004i4i−2i4i−2i−2i−2i00-2-21-21110022-12-1-1-100-2-21-21110022-12-1-1-1002i2i−i2i−i−i−i00−2i−2ii−2iiii00000000000000000000000000000000000000000000000000000000
χ14144-2-4-22200-4-4242-2-20044-2-4-22200-4-4242-2-200−4i−4i2i4i2i−2i−2i004i4i−2i−4i−2i2i2i00-2-2121-1-10022-1-2-11100-2-2121-1-10022-1-2-111002i2i−i−2i−iii00−2i−2ii2ii−i−i00000000000000000000000000000000000000000000000000000000
χ1424-440-40000-44-40400004-440-40000-44-4040000−4i4i−4i04i00004i−4i4i0−4i0000-22-20200002-220-20000-22-20200002-220-200002i−2i2i0−2i0000−2i2i−2i02i0000000000000000000000000000000000000000000000000000000000
χ1434-4-20223−2300-4420-2−2323004-4-20223−2300-4420-2−232300−4i4i2i0−2i−2i32i3004i−4i−2i02i2i3−2i300-2210-1−33002-2-1013−300-2210-1−33002-2-1013−3002i−2i−i0ii3−i300−2i2ii0−i−i3i300000000000000000000000000000000000000000000000000000000
χ1444-4-202−232300-4420-223−23004-4-202−232300-4420-223−2300−4i4i2i0−2i2i3−2i3004i−4i−2i02i−2i32i300-2210-13−3002-2-101−3300-2210-13−3002-2-101−33002i−2i−i0i−i3i300−2i2ii0−ii3−i300000000000000000000000000000000000000000000000000000000
χ145444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000
χ1464444444-4-44444444-4-4-2-2-2-2-2-2-222-2-2-2-2-2-2-222000000000000000000-2-2-2-2-2-2-222-2-2-2-2-2-2-2221111111-1-11111111-1-1000000000000000000000000000000000000000000000000000000000000000000000000
χ147444-44-4-44-4444-44-4-44-4-2-2-22-222-22-2-2-22-222-22000000000000000000-2-2-22-222-22-2-2-22-222-22111-11-1-11-1111-11-1-11-1000000000000000000000000000000000000000000000000000000000000000000000000
χ148444-44-4-4-44444-44-4-4-44-2-2-22-2222-2-2-2-22-2222-2000000000000000000-2-2-22-2222-2-2-2-22-2222-2111-11-1-1-11111-11-1-1-11000000000000000000000000000000000000000000000000000000000000000000000000
χ14988-48-4-4-40088-48-4-4-400-4-42-422200-4-42-422200000000000000000000-4-42-422200-4-42-42220022-12-1-1-10022-12-1-1-100000000000000000000000000000000000000000000000000000000000000000000000000
χ15088-4-8-4440088-4-8-44400-4-4242-2-200-4-4242-2-200000000000000000000-4-4242-2-200-4-4242-2-20022-1-2-1110022-1-2-11100000000000000000000000000000000000000000000000000000000000000000000000000
χ1518-880-800008-880-80000-44-4040000-44-4040000000000000000000000-44-4040000-44-40400002-220-200002-220-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1528-8-40443−43008-8-40443−4300-4420-2−232300-4420-2−232300000000000000000000-4420-2−232300-4420-2−2323002-2-1013−3002-2-1013−300000000000000000000000000000000000000000000000000000000000000000000000000
χ1538-8-404−4343008-8-404−434300-4420-223−2300-4420-223−2300000000000000000000-4420-223−2300-4420-223−23002-2-101−33002-2-101−3300000000000000000000000000000000000000000000000000000000000000000000000000
χ154444444444-4-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2222222222000000000000000000-2-2-2-2-2-2-2-2-2222222222111111111-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000000000
χ1554444444-4-4-4-4-4-4-4-4-444-2-2-2-2-2-2-2222222222-2-2000000000000000000-2-2-2-2-2-2-2222222222-2-21111111-1-1-1-1-1-1-1-1-111000000000000000000000000000000000000000000000000000000000000000000000000
χ156444-44-4-44-4-4-4-44-444-44-2-2-22-222-22222-22-2-22-2000000000000000000-2-2-22-222-22222-22-2-22-2111-11-1-11-1-1-1-11-111-11000000000000000000000000000000000000000000000000000000000000000000000000
χ157444-44-4-4-44-4-4-44-4444-4-2-2-22-2222-2222-22-2-2-22000000000000000000-2-2-22-2222-2222-22-2-2-22111-11-1-1-11-1-1-11-1111-1000000000000000000000000000000000000000000000000000000000000000000000000
χ15888-48-4-4-400-8-84-844400-4-42-42220044-24-2-2-200000000000000000000-4-42-42220044-24-2-2-20022-12-1-1-100-2-21-211100000000000000000000000000000000000000000000000000000000000000000000000000
χ15988-4-8-44400-8-8484-4-400-4-4242-2-20044-2-4-22200000000000000000000-4-4242-2-20044-2-4-2220022-1-2-11100-2-2121-1-100000000000000000000000000000000000000000000000000000000000000000000000000
χ1608-880-80000-88-8080000-44-40400004-440-40000000000000000000000-44-40400004-440-400002-220-20000-22-2020000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-40443−4300-8840-4−434300-4420-2−2323004-4-20223−2300000000000000000000-4420-2−2323004-4-20223−23002-2-1013−300-2210-1−3300000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-404−434300-8840-443−4300-4420-223−23004-4-202−232300000000000000000000-4420-223−23004-4-202−2323002-2-101−3300-2210-13−300000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).