Finite Group Databasebeta

← Group #13140004

Character table — Group #13140004

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111122222222222244446666666666666666666666661212121212121212121212121212121212121212181818181818181818181818181818181818181818181818363636363636363636363636363636363636363636363636
order1222222234444666666612121212336666666666666612121212121212123666666612121212121212121212121244444444121212121212121212121212121212124444444412121212121212121212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ7111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111-1-1-1-11111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91-1-1111-1-1111-1-111-1-1-11-111-1-11111-1-1-1-1-1-1-11111-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ101-1-1111-1-1111-1-111-1-1-11-111-1-11111-1-1-1-1-1-1-11111-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111-1-1111-1-1111-1-111-1-1-11-111-1-11111-1-1-1-1-1-1-11111-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121-1-1111-1-1111-1-111-1-1-11-111-1-11111-1-1-1-1-1-1-11111-11111-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131-1-1111-1-11-1-11111-1-1-11-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141-1-1111-1-11-1-11111-1-1-11-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151-1-1111-1-11-1-11111-1-1-11-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ161-1-1111-1-11-1-11111-1-1-11-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ172222222222222222222222222-122222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ182222222222222222222222222-122222-1-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ19222222222222222222222222-12-1-1-1-1-12222-1222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000222200000000-1-1-1-1-1-1-1-1
χ20222222222222222222222222-12-1-1-1-1-12222-1222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-20000000011111111
χ21222222222-2-2-2-22222222-2-2-2-22-122222-1-1-1-12-1-1-1211111111-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ22222222222-2-2-2-22222222-2-2-2-22-122222-1-1-1-12-1-1-1211111111-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ23222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-1-12222-1222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111000000000000000000000000000022-2-200000000-1-1-1-11111
χ24222222222-2-2-2-22222222-2-2-2-2-12-1-1-1-1-12222-1222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111110000000000000000000000000000-2-222000000001111-1-1-1-1
χ252222-2-2-2-222-22-2-2-222-22-22-22-222-2-222-222-2-222-2-2-222-2-222-2-22-2-222-2-222-22-222-2-222-2-2000000000000000000000000000000000000000000000000
χ262222-2-2-2-222-22-2-2-222-22-22-22-22-1-2-222-2-1-1112-111-2-1-111-1-111-111-1-111-12-22-2-1-111-1-1110000000033−3−333−3−333−3−333−3−3000000000000000000000000
χ272222-2-2-2-222-22-2-2-222-22-22-22-22-1-2-222-2-1-1112-111-2-1-111-1-111-111-1-111-12-22-2-1-111-1-11100000000−3−333−3−333−3−333−3−333000000000000000000000000
χ282222-2-2-2-222-22-2-2-222-22-22-22-2-1211-1-1122-2-2-12-2-2122-2-222-2-2-111-1-111-1-11-11-1-111-1-11100000000000000000000000000000000000000003−33−33−33−3
χ292222-2-2-2-222-22-2-2-222-22-22-22-2-1211-1-1122-2-2-12-2-2122-2-222-2-2-111-1-111-1-11-11-1-111-1-1110000000000000000000000000000000000000000−33−33−33−33
χ302222-2-2-2-22-22-22-2-222-22-2-22-2222-2-222-222-2-222-2-2-2-2-222-2-2222-2-222-2-22-22-22-2-222-2-222000000000000000000000000000000000000000000000000
χ312222-2-2-2-22-22-22-2-222-22-2-22-222-1-2-222-2-1-1112-111-211-1-111-1-1-111-1-111-1-22-2211-1-111-1-10000000033−3−333−3−3−3−333−3−333000000000000000000000000
χ322222-2-2-2-22-22-22-2-222-22-2-22-222-1-2-222-2-1-1112-111-211-1-111-1-1-111-1-111-1-22-2211-1-111-1-100000000−3−333−3−33333−3−333−3−3000000000000000000000000
χ332222-2-2-2-22-22-22-2-222-22-2-22-22-1211-1-1122-2-2-12-2-21-2-222-2-222-111-1-111-11-11-111-1-111-1-100000000000000000000000000000000000000003−33−3−33−33
χ342222-2-2-2-22-22-22-2-222-22-2-22-22-1211-1-1122-2-2-12-2-21-2-222-2-222-111-1-111-11-11-111-1-111-1-10000000000000000000000000000000000000000−33−333−33−3
χ3522-2-22-22-2200002-22-22-2-20000222-22-2-22-22-2-2-22-220000000022-22-22-2-200000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ3622-2-22-22-2200002-22-22-2-20000222-22-2-22-22-2-2-22-220000000022-22-22-2-20000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ3722-2-22-22-2200002-22-22-2-200002-12-22-2-2-11-11-21-1123−33−33−33−3-1-11-11-11100003−33−33−33−300002i−2i2i−2i−i3i3−i3i3−i3i3−i3i3−ii−ii−ii−ii000000000000000000000000
χ3822-2-22-22-2200002-22-22-2-200002-12-22-2-2-11-11-21-1123−33−33−33−3-1-11-11-11100003−33−33−33−30000−2i2i−2i2ii3−i3i3−i3i3−i3i3−i3i−ii−ii−ii−i000000000000000000000000
χ3922-2-22-22-2200002-22-22-2-200002-12-22-2-2-11-11-21-112−33−33−33−33-1-11-11-1110000−33−33−33−3300002i−2i2i−2ii3−i3i3−i3i3−i3i3−i3−ii−ii−ii−ii000000000000000000000000
χ4022-2-22-22-2200002-22-22-2-200002-12-22-2-2-11-11-21-112−33−33−33−33-1-11-11-1110000−33−33−33−330000−2i2i−2i2i−i3i3−i3i3−i3i3−i3i3i−ii−ii−ii−i000000000000000000000000
χ4122-2-2-22-2220000-222-2-2-22000022-222-222-2-22-2-2-22-2000000002-222-2-22-20000000000002i−2i2i−2i00002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ4222-2-2-22-2220000-222-2-2-22000022-222-222-2-22-2-2-22-2000000002-222-2-22-2000000000000−2i2i−2i2i0000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ4322-2-2-22-2220000-222-2-2-2200002-1-222-22-111-1-211-1-23−3−333−3−33-11-1-111-1100003−3−333−3−332i−2i2i−2i0000−iii−i−iii−ii3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ4422-2-2-22-2220000-222-2-2-2200002-1-222-22-111-1-211-1-23−3−333−3−33-11-1-111-1100003−3−333−3−33−2i2i−2i2i0000i−i−iii−i−ii−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ4522-2-2-22-2220000-222-2-2-2200002-1-222-22-111-1-211-1-2−333−3−333−3-11-1-111-110000−333−3−333−32i−2i2i−2i0000−iii−i−iii−i−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ4622-2-2-22-2220000-222-2-2-2200002-1-222-22-111-1-211-1-2−333−3−333−3-11-1-111-110000−333−3−333−3−2i2i−2i2i0000i−i−iii−i−iii3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ472-22-22-2-22200002-2-22-2-220000222-2-222-22-22-2-22-2-20000000022-2-22-22-200000000000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ482-22-22-2-22200002-2-22-2-220000222-2-222-22-22-2-22-2-20000000022-2-22-22-20000000000000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ492-22-22-2-22200002-2-22-2-2200002-12-2-2221-11-1-21-11-23−33−3−33−33-1-111-11-1100003−33−3−33−3300002i−2i−2i2i−i3i3−i3i3i3−i3i3−i3−ii−iii−ii−i000000000000000000000000
χ502-22-22-2-22200002-2-22-2-2200002-12-2-2221-11-1-21-11-23−33−3−33−33-1-111-11-1100003−33−3−33−330000−2i2i2i−2ii3−i3i3−i3−i3i3−i3i3i−ii−i−ii−ii000000000000000000000000
χ512-22-22-2-22200002-2-22-2-2200002-12-2-2221-11-1-21-11-2−33−333−33−3-1-111-11-110000−33−333−33−300002i−2i−2i2ii3−i3i3−i3−i3i3−i3i3−ii−iii−ii−i000000000000000000000000
χ522-22-22-2-22200002-2-22-2-2200002-12-2-2221-11-1-21-11-2−33−333−33−3-1-111-11-110000−33−333−33−30000−2i2i2i−2i−i3i3−i3i3i3−i3i3−i3i−ii−i−ii−ii000000000000000000000000
χ532-22-2-222-220000-22-222-2-2000022-22-22-2-222-2-2-2-222000000002-22-222-2-20000000000002i−2i−2i2i00002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ542-22-2-222-220000-22-222-2-2000022-22-22-2-222-2-2-2-222000000002-22-222-2-2000000000000−2i2i2i−2i0000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ552-22-2-222-220000-22-222-2-200002-1-22-22-21-1-11-211-123−3−33−333−3-11-11-1-11100003−3−33−333−32i−2i−2i2i0000−iii−ii−i−iii3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ562-22-2-222-220000-22-222-2-200002-1-22-22-21-1-11-211-123−3−33−333−3-11-11-1-11100003−3−33−333−3−2i2i2i−2i0000i−i−ii−iii−i−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ572-22-2-222-220000-22-222-2-200002-1-22-22-21-1-11-211-12−333−33−3−33-11-11-1-1110000−333−33−3−332i−2i−2i2i0000−iii−ii−i−ii−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ582-22-2-222-220000-22-222-2-200002-1-22-22-21-1-11-211-12−333−33−3−33-11-11-1-1110000−333−33−3−33−2i2i2i−2i0000i−i−ii−iii−ii3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ592-2-2222-2-2222-2-222-2-2-22-222-2-22-122-2-2-211112-1-1-1-2-1-1-1-11111-1-1-11111-122-2-2-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ602-2-2222-2-2222-2-222-2-2-22-222-2-22-122-2-2-211112-1-1-1-2-1-1-1-11111-1-1-11111-122-2-2-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ612-2-2222-2-2222-2-222-2-2-22-222-2-2-12-1-1111-2-2-2-2-122212222-2-2-2-2-1-1-11111-1-1-111-1-1-1-1111100000000000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ622-2-2222-2-2222-2-222-2-2-22-222-2-2-12-1-1111-2-2-2-2-122212222-2-2-2-2-1-1-11111-1-1-111-1-1-1-111110000000000000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ632-2-2222-2-22-2-22222-2-2-22-2-2-2222-122-2-2-211112-1-1-1-21111-1-1-1-1-1-1-11111-1-2-2221111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ642-2-2222-2-22-2-22222-2-2-22-2-2-2222-122-2-2-211112-1-1-1-21111-1-1-1-1-1-1-11111-1-2-2221111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ652-2-2222-2-22-2-22222-2-2-22-2-2-222-12-1-1111-2-2-2-2-12221-2-2-2-22222-1-1-11111-111-1-11111-1-1-1-100000000000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ662-2-2222-2-22-2-22222-2-2-22-2-2-222-12-1-1111-2-2-2-2-12221-2-2-2-22222-1-1-11111-111-1-11111-1-1-1-10000000000000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ672-2-22-2-22222-2-22-2-2-2-22222-2-2222-2-2-2-22-2-22222-2-2222-2-2-2-2222-2-2-2-22222-2-2222-2-2-2-222000000000000000000000000000000000000000000000000
χ682-2-22-2-22222-2-22-2-2-2-22222-2-222-1-2-2-2-2211-1-12-1112-1-11111-1-1-11111-1-1-12-2-22-1-11111-1-10000000033−3−3−3−33333−3−3−3−333000000000000000000000000
χ692-2-22-2-22222-2-22-2-2-2-22222-2-222-1-2-2-2-2211-1-12-1112-1-11111-1-1-11111-1-1-12-2-22-1-11111-1-100000000−3−33333−3−3−3−33333−3−3000000000000000000000000
χ702-2-22-2-22222-2-22-2-2-2-22222-2-22-121111-1-2-222-12-2-2-122-2-2-2-222-11111-1-1-1-111-1-1-11111-1-10000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i3
χ712-2-22-2-22222-2-22-2-2-2-22222-2-22-121111-1-2-222-12-2-2-122-2-2-2-222-11111-1-1-1-111-1-1-11111-1-10000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i3
χ722-2-22-2-2222-222-2-2-2-2-2222-222-222-2-2-2-22-2-22222-2-22-2-22222-2-22-2-2-2-2222-222-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ732-2-22-2-2222-222-2-2-2-2-2222-222-22-1-2-2-2-2211-1-12-111211-1-1-1-111-11111-1-1-1-222-211-1-1-1-1110000000033−3−3−3−333−3−33333−3−3000000000000000000000000
χ742-2-22-2-2222-222-2-2-2-2-2222-222-22-1-2-2-2-2211-1-12-111211-1-1-1-111-11111-1-1-1-222-211-1-1-1-11100000000−3−33333−3−333−3−3−3−333000000000000000000000000
χ752-2-22-2-2222-222-2-2-2-2-2222-222-2-121111-1-2-222-12-2-2-1-2-22222-2-2-11111-1-1-11-1-1111-1-1-1-1110000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i3
χ762-2-22-2-2222-222-2-2-2-2-2222-222-2-121111-1-2-222-12-2-2-1-2-22222-2-2-11111-1-1-11-1-1111-1-1-1-1110000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i3
χ77444444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-2-2-2-211111111000000000000000000000000000000000000000000000000
χ78444444444-4-4-4-44444444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222111111112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ794444-4-4-4-444-44-4-4-444-44-44-44-4-2-222-2-22-2-222-2-2222-2-222-2-2221-1-111-1-11-22-2211-1-111-1-1000000000000000000000000000000000000000000000000
χ804444-4-4-4-44-44-44-4-444-44-4-44-44-2-222-2-22-2-222-2-222222-2-222-2-21-1-111-1-112-22-2-1-111-1-111000000000000000000000000000000000000000000000000
χ8144-4-44-44-4400004-44-44-4-40000-24-22-2224-44-42-44-4-200000000-2-22-22-222000000000000000000000000000000000000000000000000000000000000
χ8244-4-44-44-4400004-44-44-4-40000-2-2-22-222-22-2222-22-223−2323−2323−2323−2311-11-11-1-10000−33−33−33−33000000000000000000000000000000000000000000000000
χ8344-4-44-44-4400004-44-44-4-40000-2-2-22-222-22-2222-22-2−2323−2323−2323−232311-11-11-1-100003−33−33−33−3000000000000000000000000000000000000000000000000
χ8444-4-4-44-4440000-444-4-4-440000-242-2-22-24-4-442-4-44200000000-22-2-222-22000000000000000000000000000000000000000000000000000000000000
χ8544-4-4-44-4440000-444-4-4-440000-2-22-2-22-2-222-2222-2223−23−232323−23−23231-111-1-11-10000−333−3−333−3000000000000000000000000000000000000000000000000
χ8644-4-4-44-4440000-444-4-4-440000-2-22-2-22-2-222-2222-22−232323−23−232323−231-111-1-11-100003−3−333−3−33000000000000000000000000000000000000000000000000
χ874-44-44-4-44400004-4-44-4-440000-24-222-2-2-44-442-44-4200000000-2-222-22-22000000000000000000000000000000000000000000000000000000000000
χ884-44-44-4-44400004-4-44-4-440000-2-2-222-2-22-22-222-22223−2323−23−2323−232311-1-11-11-10000−33−333−33−3000000000000000000000000000000000000000000000000
χ894-44-44-4-44400004-4-44-4-440000-2-2-222-2-22-22-222-222−2323−232323−2323−2311-1-11-11-100003−33−3−33−33000000000000000000000000000000000000000000000000
χ904-44-4-444-440000-44-444-4-40000-242-22-22-444-42-4-44-200000000-22-22-2-222000000000000000000000000000000000000000000000000000000000000
χ914-44-4-444-440000-44-444-4-40000-2-22-22-222-2-22222-2-223−23−2323−232323−231-11-111-1-10000−333−33−3−33000000000000000000000000000000000000000000000000
χ924-44-4-444-440000-44-444-4-40000-2-22-22-222-2-22222-2-2−232323−2323−23−23231-11-111-1-100003−3−33−333−3000000000000000000000000000000000000000000000000
χ934-4-4444-4-4444-4-444-4-4-44-444-4-4-2-2-2-22222222-2-2-2-22-2-2-2-22222111-1-1-1-11-2-2221111-1-1-1-1000000000000000000000000000000000000000000000000
χ944-4-4444-4-44-4-44444-4-4-44-4-4-444-2-2-2-22222222-2-2-2-222222-2-2-2-2111-1-1-1-1122-2-2-1-1-1-11111000000000000000000000000000000000000000000000000
χ954-4-44-4-44444-4-44-4-4-4-44444-4-44-2-22222-222-2-2-2-222-2-2-22222-2-21-1-1-1-1111-222-211-1-1-1-111000000000000000000000000000000000000000000000000
χ964-4-44-4-4444-444-4-4-4-4-4444-444-4-2-22222-222-2-2-2-222-222-2-2-2-2221-1-1-1-11112-2-22-1-11111-1-1000000000000000000000000000000000000000000000000
χ9766666666-36666-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000000022220000-1-1-1-1-1-1-1-100000000
χ9866666666-36666-3-3-3-3-3-3-3-3-3-3-300000000000000000000000000000000000000000000000000000000000000000000-2-2-2-200001111111100000000
χ9966666666-3-6-6-6-6-3-3-3-3-3-3-333330000000000000000000000000000000000000000000000000000000000000000000022-2-20000-1-1-1-1111100000000
χ10066666666-3-6-6-6-6-3-3-3-3-3-3-3333300000000000000000000000000000000000000000000000000000000000000000000-2-22200001111-1-1-1-100000000
χ1016666-6-6-6-6-36-66-633-3-33-33-33-3300000000000000000000000000000000000000000000000000000000000000000000000000003−33−33−33−300000000
χ1026666-6-6-6-6-36-66-633-3-33-33-33-330000000000000000000000000000000000000000000000000000000000000000000000000000−33−33−33−3300000000
χ1036666-6-6-6-6-3-66-6633-3-33-333-33-300000000000000000000000000000000000000000000000000000000000000000000000000003−33−3−33−3300000000
χ1046666-6-6-6-6-3-66-6633-3-33-333-33-30000000000000000000000000000000000000000000000000000000000000000000000000000−33−333−33−300000000
χ1056-6-6666-6-6-366-6-6-3-3333-33-3-333000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ1066-6-6666-6-6-366-6-6-3-3333-33-3-33300000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ1076-6-6666-6-6-3-6-666-3-3333-3333-3-3000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ1086-6-6666-6-6-3-6-666-3-3333-3333-3-300000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ1096-6-66-6-666-36-6-663333-3-3-3-333-30000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300000000
χ1106-6-66-6-666-36-6-663333-3-3-3-333-30000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300000000
χ1116-6-66-6-666-3-666-63333-3-3-33-3-330000000000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i3i3−i3−i3i300000000
χ1126-6-66-6-666-3-666-63333-3-3-33-3-330000000000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i3−i3i3i3−i300000000
χ1131212-12-1212-1212-12-60000-66-66-666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141212-12-12-1212-1212-600006-6-6666-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11512-1212-1212-12-1212-60000-666-666-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11612-1212-12-121212-12-600006-66-6-666000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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