Finite Group Databasebeta

← Group #13168749

Character table — Group #13168749

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222233334444444444444444444444446666666666666666666666666688888888881212121212121212121212121212121212121212121212121212121218181818181818181818181824242424242436363636363636367272108108
order12223334466666666612121212444433366666666612121212121212121212121222444466661212121212121212121212121212121236661212121212122466666666121212121212121212121212121212121212444412121212121212126661212122444661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-11111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111-1-1
χ91111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-1-1-1-111-1-1-111-11-11
χ101111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-1111-1-11-11-1
χ111111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111111-1-1-1-11-11-1-1111-11-1
χ121111111-1-1111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-11111-11-111-1-1-11-11
χ131111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111-1-1-11-11-111-1-1-111-1
χ141111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1111-11-11-1-1111-1-11
χ151111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1111-1-1-11-1-1111-1-11-1-11
χ161111111-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1111-111-1-1-111-111-1
χ17222222-122-12-122222-122222222-12-122-1-1-1-1-1-12-1-122-1-1-1-122220000220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-10000-1-100-1-1-1-1-1-1-1-1-1-100000000000000002-1-12-1-12200-1-1-1-10000
χ18222222-122-12-122222-122222222-12-122-1-1-1-1-1-12-1-122-1-1-1-122220000220000000022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200110000-1-10011-1-1-1-1-1-1-1-10000000000000000-211-211-2-20011110000
χ19222222-122-12-122222-12222-2-2-2-2-12-122-1-1-1-1-1-12-1-122-1-1-1-122220000-2-200000000-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-12200-1-100001100-1-11111111100000000000000002-1-12-1-1-2-20011110000
χ20222222-122-12-122222-12222-2-2-2-2-12-122-1-1-1-1-1-12-1-122-1-1-1-122220000-2-200000000-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-2-200110000110011111111110000000000000000-211-2112200-1-1-1-10000
χ21222222-1-2-2-12-122222-1-2-2-2-22222-12-122-1-1-1-1-1-1211-2-21111-2-2-2-20000-2-2000000002222-2-2-2-2-1-1-1-1-1-1-1-11111112-200-1-10000110011-1-1-1-1111100000000000000002-1-1-211-220011-1-10000
χ22222222-1-2-2-12-122222-1-2-2-2-22222-12-122-1-1-1-1-1-1211-2-21111-2-2-2-20000-2-2000000002222-2-2-2-2-1-1-1-1-1-1-1-1111111-22001100001100-1-1-1-1-1-111110000000000000000-2112-1-12-200-1-1110000
χ23222222-1-2-2-12-122222-1-2-2-2-2-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-200002200000000-2-2-2-222221111-1-1-1-11111112-200-1-10000-1-100111111-1-1-1-100000000000000002-1-1-2112-200-1-1110000
χ24222222-1-2-2-12-122222-1-2-2-2-2-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-200002200000000-2-2-2-222221111-1-1-1-1111111-2200110000-1-100-1-11111-1-1-1-10000000000000000-2112-1-1-220011-1-10000
χ2522222-12222-122-122-12222200002-1-1-1-1-12-122-1-122-1-12222-1-1-1-122220022222222000000000000-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-100-1-12200000000-1-1-1-1000000000000-1-1-1-1-1-100220000-1-100
χ2622222-12222-122-122-12222200002-1-1-1-1-12-122-1-122-1-12222-1-1-1-122220022222222000000000000-1-1-1-1-1-1-1-1-1-1-2-2-1-1-2-2-1-1-1-100-1-1-2-200000000-1-1-1-100000000000011111100-2-200001100
χ2722222-12222-122-122-12222200002-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2-2-200-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-12211221111001122000000001111000000000000-1-1-1-1-1-100-2-200001100
χ2822222-12222-122-122-12222200002-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2-2-200-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1-1-1-1-1-1-2-211-2-211110011-2-200000000111100000000000011111100220000-1-100
χ2922222-12-2-22-122-122-12-2-2-2-200002-1-1-1-1-12-122-1-1-2-211-2-2-2-2111122-2-2002222-2-2-2-2000000000000-1-1-1-11111112-2-1-122-1-1-1-10011-2-2000000001111000000000000-1-1-1111002-200001-100
χ3022222-12-2-22-122-122-12-2-2-2-200002-1-1-1-1-12-122-1-1-2-211-2-2-2-2111122-2-2002222-2-2-2-2000000000000-1-1-1-1111111-22-1-1-2-2-1-1-1-1001122000000001111000000000000111-1-1-100-220000-1100
χ3122222-12-2-22-122-122-12-2-2-2-200002-1-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-22200-2-2-2-22222000000000000-1-1-1-11111112-21122111100-1-1-2-200000000-1-1-1-1000000000000-1-1-111100-220000-1100
χ3222222-12-2-22-122-122-12-2-2-2-200002-1-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-22200-2-2-2-22222000000000000-1-1-1-1111111-2211-2-2111100-1-12200000000-1-1-1-1000000000000111-1-1-1002-200001-100
χ332222-12222222-12-1-122-1-1-1-12222-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1002200-1-1-1-1222200-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000
χ342222-12222222-12-1-122-1-1-1-12222-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-100-2-200111122-2-200-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000000000
χ352222-12222222-12-1-122-1-1-1-1-2-2-2-2-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2-1-1-1-122-1-1-1-1002200-1-1-1-1-2-2220011111111-1-1-1-1-2-2-2-211111111000000000000000000
χ362222-12222222-12-1-122-1-1-1-1-2-2-2-2-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111-2-2-2-2-1-1-1-122-1-1-1-100-2-2001111-2-2-2-2001111111111112222-1-1-1-1-1-1-1-1000000000000000000
χ372222-122-2-2222-12-1-12211112222-1-12-1-12-12-1-12-1-2-2-2-21111111122-2-2-2-2-1-1-1-11111-1-1-1-111112222-1-1-1-1-2-21111002200-1-1-1-1-2-2-2-200-1-1-1-11111111122-2-2-1-1-1-11111000000000000000000
χ382222-122-2-2222-12-1-12211112222-1-12-1-12-12-1-12-1-2-2-2-211111111-2-222-2-21111-1-1-1-1-1-1-1-111112222-1-1-1-1-2-2111100-2-2001111-2-22200-1-1-1-11111-1-1-1-1-2-2221111-1-1-1-1000000000000000000
χ392222-122-2-2222-12-1-1221111-2-2-2-2-1-12-1-12-12-1-12-1-2-2-2-21111111122-2-222-1-1-1-111111111-1-1-1-1-2-2-2-2-1-1-1-1-2-21111002200-1-1-1-122-2-2001111-1-1-1-11111-2-2221111-1-1-1-1000000000000000000
χ402222-122-2-2222-12-1-1221111-2-2-2-2-1-12-1-12-12-1-12-1-2-2-2-211111111-2-222221111-1-1-1-11111-1-1-1-1-2-2-2-2-1-1-1-1-2-2111100-2-20011112222001111-1-1-1-1-1-1-1-122-2-2-1-1-1-11111000000000000000000
χ4122-2-222200-22-2-2-22-2-22000022-2-22222-2-2-2-22-22-2000000000000002i−2i0000002i2i−2i−2i22-2-2000022-2-222-2-20000000000000000002i−2i0022-2-200002i2i−2i−2i002i−2i00002i2i−2i−2i000000000000000000
χ4222-2-222200-22-2-2-22-2-22000022-2-22222-2-2-2-22-22-200000000000000−2i2i000000−2i−2i2i2i22-2-2000022-2-222-2-2000000000000000000−2i2i0022-2-20000−2i−2i2i2i00−2i2i0000−2i−2i2i2i000000000000000000
χ4322-2-222200-22-2-2-22-2-220000-2-2222222-2-2-2-22-22-2000000000000002i−2i0000002i2i−2i−2i-2-2220000-2-22222-2-20000000000000000002i−2i00-2-22200002i2i−2i−2i00−2i2i0000−2i−2i2i2i000000000000000000
χ4422-2-222200-22-2-2-22-2-220000-2-2222222-2-2-2-22-22-200000000000000−2i2i000000−2i−2i2i2i-2-2220000-2-22222-2-2000000000000000000−2i2i00-2-2220000−2i−2i2i2i002i−2i00002i2i−2i−2i000000000000000000
χ4522-2-2-12200-22-21-2-11-2233−3−322-2-2-1-12-11-21-2-1121000033−3−333−3−3002i−2i00−i3−i3i3i3−i−iii-1-11133−3−322-2-2-1-1110033−3−3000000−i3−i3i3i3002i−2i00-1-11133−3−3−i−iii002i−2i−i3−i3i3i3−i−iii000000000000000000
χ4622-2-2-12200-22-21-2-11-2233−3−322-2-2-1-12-11-21-2-1121000033−3−333−3−300−2i2i00i3i3−i3−i3ii−i−i-1-11133−3−322-2-2-1-1110033−3−3000000i3i3−i3−i300−2i2i00-1-11133−3−3ii−i−i00−2i2ii3i3−i3−i3ii−i−i000000000000000000
χ4722-2-2-12200-22-21-2-11-2233−3−3-2-222-1-12-11-21-2-1121000033−3−333−3−3002i−2i00−i3−i3i3i3−i−iii11-1-1−3−333-2-222-1-1110033−3−3000000−i3−i3i3i3002i−2i0011-1-1−3−333−i−iii00−2i2ii3i3−i3−i3ii−i−i000000000000000000
χ4822-2-2-12200-22-21-2-11-2233−3−3-2-222-1-12-11-21-2-1121000033−3−333−3−300−2i2i00i3i3−i3−i3ii−i−i11-1-1−3−333-2-222-1-1110033−3−3000000i3i3−i3−i300−2i2i0011-1-1−3−333ii−i−i002i−2i−i3−i3i3i3−i−iii000000000000000000
χ4922-2-2-12200-22-21-2-11-22−3−33322-2-2-1-12-11-21-2-11210000−3−333−3−333002i−2i00i3i3−i3−i3−i−iii-1-111−3−33322-2-2-1-11100−3−333000000i3i3−i3−i3002i−2i00-1-111−3−333−i−iii002i−2ii3i3−i3−i3−i−iii000000000000000000
χ5022-2-2-12200-22-21-2-11-22−3−33322-2-2-1-12-11-21-2-11210000−3−333−3−33300−2i2i00−i3−i3i3i3ii−i−i-1-111−3−33322-2-2-1-11100−3−333000000−i3−i3i3i300−2i2i00-1-111−3−333ii−i−i00−2i2i−i3−i3i3i3ii−i−i000000000000000000
χ5122-2-2-12200-22-21-2-11-22−3−333-2-222-1-12-11-21-2-11210000−3−333−3−333002i−2i00i3i3−i3−i3−i−iii11-1-133−3−3-2-222-1-11100−3−333000000i3i3−i3−i3002i−2i0011-1-133−3−3−i−iii00−2i2i−i3−i3i3i3ii−i−i000000000000000000
χ5222-2-2-12200-22-21-2-11-22−3−333-2-222-1-12-11-21-2-11210000−3−333−3−33300−2i2i00−i3−i3i3i3ii−i−i11-1-133−3−3-2-222-1-11100−3−333000000−i3−i3i3i300−2i2i0011-1-133−3−3ii−i−i002i−2ii3i3−i3−i3−i−iii000000000000000000
χ532-22-2222002-2-22-2-2-22-200002i−2i2i−2i222-2-2-222-2-2-220000000000002-200002-22-200002i−2i2i−2i00002i−2i2i−2i2-2-22000000002-2002-22-20000002i−2i2i−2i000000002i−2i002i−2i2i−2i0000000000000000000000
χ542-22-2222002-2-22-2-2-22-200002i−2i2i−2i222-2-2-222-2-2-22000000000000-220000-22-2200002i−2i2i−2i00002i−2i2i−2i2-2-2200000000-2200-22-220000002i−2i2i−2i00000000−2i2i00−2i2i−2i2i0000000000000000000000
χ552-22-2222002-2-22-2-2-22-20000−2i2i−2i2i222-2-2-222-2-2-220000000000002-200002-22-20000−2i2i−2i2i0000−2i2i−2i2i2-2-22000000002-2002-22-2000000−2i2i−2i2i00000000−2i2i00−2i2i−2i2i0000000000000000000000
χ562-22-2222002-2-22-2-2-22-20000−2i2i−2i2i222-2-2-222-2-2-22000000000000-220000-22-220000−2i2i−2i2i0000−2i2i−2i2i2-2-2200000000-2200-22-22000000−2i2i−2i2i000000002i−2i002i−2i2i−2i0000000000000000000000
χ572-22-2-122002-2-2-1-2112-2−i3i3−i3i32i−2i2i−2i-1-1211-2-1211-2-10000−i3i3−i3i3−i3i3−i3i32-20000-11-11−i3i3−i3i3−ii−ii3−33−32i−2i2i−2i-111-100−i3i3−i3i3002-200-11-11000000−ii−ii3−33−3−i3i3−i3i32i−2i00−ii−ii3−33−3000000000000000000
χ582-22-2-122002-2-2-1-2112-2−i3i3−i3i32i−2i2i−2i-1-1211-2-1211-2-10000−i3i3−i3i3−i3i3−i3i3-2200001-11-1i3−i3i3−i3−ii−ii3−33−32i−2i2i−2i-111-100−i3i3−i3i300-22001-11-1000000−ii−ii3−33−3i3−i3i3−i3−2i2i00i−ii−i−33−33000000000000000000
χ592-22-2-122002-2-2-1-2112-2−i3i3−i3i3−2i2i−2i2i-1-1211-2-1211-2-10000−i3i3−i3i3−i3i3−i3i32-20000-11-11−i3i3−i3i3i−ii−i−33−33−2i2i−2i2i-111-100−i3i3−i3i3002-200-11-11000000i−ii−i−33−33−i3i3−i3i3−2i2i00i−ii−i−33−33000000000000000000
χ602-22-2-122002-2-2-1-2112-2−i3i3−i3i3−2i2i−2i2i-1-1211-2-1211-2-10000−i3i3−i3i3−i3i3−i3i3-2200001-11-1i3−i3i3−i3i−ii−i−33−33−2i2i−2i2i-111-100−i3i3−i3i300-22001-11-1000000i−ii−i−33−33i3−i3i3−i32i−2i00−ii−ii3−33−3000000000000000000
χ612-22-2-122002-2-2-1-2112-2i3−i3i3−i32i−2i2i−2i-1-1211-2-1211-2-10000i3−i3i3−i3i3−i3i3−i32-20000-11-11i3−i3i3−i3−ii−ii−33−332i−2i2i−2i-111-100i3−i3i3−i3002-200-11-11000000−ii−ii−33−33i3−i3i3−i32i−2i00−ii−ii−33−33000000000000000000
χ622-22-2-122002-2-2-1-2112-2i3−i3i3−i32i−2i2i−2i-1-1211-2-1211-2-10000i3−i3i3−i3i3−i3i3−i3-2200001-11-1−i3i3−i3i3−ii−ii−33−332i−2i2i−2i-111-100i3−i3i3−i300-22001-11-1000000−ii−ii−33−33−i3i3−i3i3−2i2i00i−ii−i3−33−3000000000000000000
χ632-22-2-122002-2-2-1-2112-2i3−i3i3−i3−2i2i−2i2i-1-1211-2-1211-2-10000i3−i3i3−i3i3−i3i3−i32-20000-11-11i3−i3i3−i3i−ii−i3−33−3−2i2i−2i2i-111-100i3−i3i3−i3002-200-11-11000000i−ii−i3−33−3i3−i3i3−i3−2i2i00i−ii−i3−33−3000000000000000000
χ642-22-2-122002-2-2-1-2112-2i3−i3i3−i3−2i2i−2i2i-1-1211-2-1211-2-10000i3−i3i3−i3i3−i3i3−i3-2200001-11-1−i3i3−i3i3i−ii−i3−33−3−2i2i−2i2i-111-100i3−i3i3−i300-22001-11-1000000i−ii−i3−33−3−i3i3−i3i32i−2i00−ii−ii−33−33000000000000000000
χ652-2-222222i−2i-2-22-22-22-2-22i−2i−2i2i2i−2i−2i2i222-222-2-2-22-2-22i−2i2i−2i2i−2i−2i2i2i−2i−2i2i00002-2000000002i−2i−2i2i-222-22i−2i−2i2i2-22-22i−2i2i−2i−2i2i00000000002-200002i−2i−2i2i-222-20000000000000000000000000000000000
χ662-2-222222i−2i-2-22-22-22-2-22i−2i−2i2i−2i2i2i−2i222-222-2-2-22-2-22i−2i2i−2i2i−2i−2i2i2i−2i−2i2i0000-2200000000−2i2i2i−2i2-2-22−2i2i2i−2i2-22-22i−2i2i−2i−2i2i0000000000-220000−2i2i2i−2i2-2-220000000000000000000000000000000000
χ672-2-22222−2i2i-2-22-22-22-2-2−2i2i2i−2i2i−2i−2i2i222-222-2-2-22-2-2−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i0000-22000000002i−2i−2i2i2-2-222i−2i−2i2i2-22-2−2i2i−2i2i2i−2i0000000000-2200002i−2i−2i2i2-2-220000000000000000000000000000000000
χ682-2-22222−2i2i-2-22-22-22-2-2−2i2i2i−2i−2i2i2i−2i222-222-2-2-22-2-2−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i00002-200000000−2i2i2i−2i-222-2−2i2i2i−2i2-22-2−2i2i−2i2i2i−2i00000000002-20000−2i2i2i−2i-222-20000000000000000000000000000000000
χ692-2-2222-12i−2i1-2-1-22-22-212i−2i−2i2i2i−2i−2i2i-12-1-22-1111-11-2−ii2i−2i−iii−i2i−2i−2i2i00002-2000000002i−2i−2i2i-222-2−iii−i-11-11−ii−iii−i0000−i3i30000-11003−3−iii−i1-1-1100000000000000000−i3i303−30000−i3i33−30000
χ702-2-2222-12i−2i1-2-1-22-22-212i−2i−2i2i2i−2i−2i2i-12-1-22-1111-11-2−ii2i−2i−iii−i2i−2i−2i2i00002-2000000002i−2i−2i2i-222-2−iii−i-11-11−ii−iii−i0000i3−i30000-1100−33−iii−i1-1-1100000000000000000i3−i30−330000i3−i3−330000
χ712-2-2222-12i−2i1-2-1-22-22-212i−2i−2i2i−2i2i2i−2i-12-1-22-1111-11-2−ii2i−2i−iii−i2i−2i−2i2i0000-2200000000−2i2i2i−2i2-2-22i−i−ii-11-11−ii−iii−i0000−i3i300001-1003−3i−i−ii-111-100000000000000000−i3i303−30000i3−i3−330000
χ722-2-2222-12i−2i1-2-1-22-22-212i−2i−2i2i−2i2i2i−2i-12-1-22-1111-11-2−ii2i−2i−iii−i2i−2i−2i2i0000-2200000000−2i2i2i−2i2-2-22i−i−ii-11-11−ii−iii−i0000i3−i300001-100−33i−i−ii-111-100000000000000000i3−i30−330000−i3i33−30000
χ732-2-2222-1−2i2i1-2-1-22-22-21−2i2i2i−2i2i−2i−2i2i-12-1-22-1111-11-2i−i−2i2ii−i−ii−2i2i2i−2i0000-22000000002i−2i−2i2i2-2-22−iii−i-11-11i−ii−i−ii0000−i3i300001-100−33−iii−i-111-100000000000000000−i3i30−330000i3−i33−30000
χ742-2-2222-1−2i2i1-2-1-22-22-21−2i2i2i−2i2i−2i−2i2i-12-1-22-1111-11-2i−i−2i2ii−i−ii−2i2i2i−2i0000-22000000002i−2i−2i2i2-2-22−iii−i-11-11i−ii−i−ii0000i3−i300001-1003−3−iii−i-111-100000000000000000i3−i303−30000−i3i3−330000
χ752-2-2222-1−2i2i1-2-1-22-22-21−2i2i2i−2i−2i2i2i−2i-12-1-22-1111-11-2i−i−2i2ii−i−ii−2i2i2i−2i00002-200000000−2i2i2i−2i-222-2i−i−ii-11-11i−ii−i−ii0000−i3i30000-1100−33i−i−ii1-1-1100000000000000000−i3i30−330000−i3i3−330000
χ762-2-2222-1−2i2i1-2-1-22-22-21−2i2i2i−2i−2i2i2i−2i-12-1-22-1111-11-2i−i−2i2ii−i−ii−2i2i2i−2i00002-200000000−2i2i2i−2i-222-2i−i−ii-11-11i−ii−i−ii0000i3−i30000-11003−3i−i−ii1-1-1100000000000000000i3−i303−30000i3−i33−30000
χ772-2-22-1222i−2i-2-22121-1-2-2−iii−i2i−2i−2i2i-1-121-121-21-1-212i−2i2i−2i−iii−i−iii−i00002-2−i3i3i3−i33−3−33−iii−i1-1-112i−2i−2i2i-11-112i−2i−iii−i000000−i3i3i3−i32-20000−iii−i1-1-113−3−3300003−3−33i3−i3−i3i3000000000000000000
χ782-2-22-1222i−2i-2-22121-1-2-2−iii−i2i−2i−2i2i-1-121-121-21-1-212i−2i2i−2i−iii−i−iii−i00002-2i3−i3−i3i3−333−3−iii−i1-1-112i−2i−2i2i-11-112i−2i−iii−i000000i3−i3−i3i32-20000−iii−i1-1-11−333−30000−333−3−i3i3i3−i3000000000000000000
χ792-2-22-1222i−2i-2-22121-1-2-2−iii−i−2i2i2i−2i-1-121-121-21-1-212i−2i2i−2i−iii−i−iii−i0000-22−i3i3i3−i33−3−33i−i−ii-111-1−2i2i2i−2i-11-112i−2i−iii−i000000−i3i3i3−i3-220000i−i−ii-111-13−3−330000−333−3−i3i3i3−i3000000000000000000
χ802-2-22-1222i−2i-2-22121-1-2-2−iii−i−2i2i2i−2i-1-121-121-21-1-212i−2i2i−2i−iii−i−iii−i0000-22i3−i3−i3i3−333−3i−i−ii-111-1−2i2i2i−2i-11-112i−2i−iii−i000000i3−i3−i3i3-220000i−i−ii-111-1−333−300003−3−33i3−i3−i3i3000000000000000000
χ812-2-22-122−2i2i-2-22121-1-2-2i−i−ii2i−2i−2i2i-1-121-121-21-1-21−2i2i−2i2ii−i−iii−i−ii0000-22−i3i3i3−i3−333−3−iii−i-111-12i−2i−2i2i-11-11−2i2ii−i−ii000000−i3i3i3−i3-220000−iii−i-111-1−333−300003−3−33−i3i3i3−i3000000000000000000
χ822-2-22-122−2i2i-2-22121-1-2-2i−i−ii2i−2i−2i2i-1-121-121-21-1-21−2i2i−2i2ii−i−iii−i−ii0000-22i3−i3−i3i33−3−33−iii−i-111-12i−2i−2i2i-11-11−2i2ii−i−ii000000i3−i3−i3i3-220000−iii−i-111-13−3−330000−333−3i3−i3−i3i3000000000000000000
χ832-2-22-122−2i2i-2-22121-1-2-2i−i−ii−2i2i2i−2i-1-121-121-21-1-21−2i2i−2i2ii−i−iii−i−ii00002-2−i3i3i3−i3−333−3i−i−ii1-1-11−2i2i2i−2i-11-11−2i2ii−i−ii000000−i3i3i3−i32-20000i−i−ii1-1-11−333−30000−333−3i3−i3−i3i3000000000000000000
χ842-2-22-122−2i2i-2-22121-1-2-2i−i−ii−2i2i2i−2i-1-121-121-21-1-21−2i2i−2i2ii−i−iii−i−ii00002-2i3−i3−i3i33−3−33i−i−ii1-1-11−2i2i2i−2i-11-11−2i2ii−i−ii000000i3−i3−i3i32-20000i−i−ii1-1-113−3−3300003−3−33−i3i3i3−i3000000000000000000
χ8544444-2-244-2-2-24-244-2-244440000-2-21-2-21-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000011111111114400-2-200000000-2-2000000000000000000000000-211-211000000000000
χ8644444-2-244-2-2-24-244-2-244440000-2-21-2-21-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000001111111111-4-4002200000000220000000000000000000000002-1-12-1-1000000000000
χ8744444-2-2-4-4-2-2-24-244-2-2-4-4-4-40000-2-21-2-21-21-2-21-2222222222222000000000000000000000000001111-1-1-1-1-1-14-400-2-20000000022000000000000000000000000-2112-1-1000000000000
χ8844444-2-2-4-4-2-2-24-244-2-2-4-4-4-40000-2-21-2-21-21-2-21-2222222222222000000000000000000000000001111-1-1-1-1-1-1-44002200000000-2-20000000000000000000000002-1-1-211000000000000
χ894444-24-244-24-2-24-2-24-2-2-2-2-244441-2-2-2-2-21-211-2-2-2-2441111-2-2-2-200004400000000-2-2-2-2-2-2-2-2-2-2-2-21111-2-211110000000000-2-20000111111110000000000000000000000000000000000
χ904444-24-244-24-2-24-2-24-2-2-2-2-2-4-4-4-41-2-2-2-2-21-211-2-2-2-2441111-2-2-2-20000-4-4000000002222222222221111-2-211110000000000220000-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ914444-24-2-4-4-24-2-24-2-24-2222244441-2-2-2-2-21-211-2-222-4-4-1-1-1-122220000-4-400000000-2-2-2-22222-2-2-2-2111122-1-1-1-100000000002200001111-1-1-1-10000000000000000000000000000000000
χ924444-24-2-4-4-24-2-24-2-24-22222-4-4-4-41-2-2-2-2-21-211-2-222-4-4-1-1-1-12222000044000000002222-2-2-2-22222111122-1-1-1-10000000000-2-20000-1-1-1-111110000000000000000000000000000000000
χ934444-2-24444-24-2-2-2-2-24-2-2-2-20000-21-211-2-2-2-2-2-2144-2-2-2-2-2-21111444400-2-2-2-2-2-2-2-20000000000001111-2-2111100-2-200111100-2-200000000001111000000000000000000000000000000
χ944444-2-24444-24-2-2-2-2-24-2-2-2-20000-21-211-2-2-2-2-2-2144-2-2-2-2-2-21111-4-4-4-400222222220000000000001111-2-21111002200-1-1-1-100220000000000-1-1-1-1000000000000000000000000000000
χ954444-2-24-4-44-24-2-2-2-2-2422220000-21-211-2-2-2-2-2-21-4-4222222-1-1-1-144-4-400-2-2-2-22222000000000000111122-1-1-1-100-2-200111100220000000000-1-1-1-1000000000000000000000000000000
χ964444-2-24-4-44-24-2-2-2-2-2422220000-21-211-2-2-2-2-2-21-4-4222222-1-1-1-1-4-444002222-2-2-2-2000000000000111122-1-1-1-1002200-1-1-1-100-2-200000000001111000000000000000000000000000000
χ9744-4-444-200242-4-44-4-4-2000044-4-4-24-24-4222-22-2-40000000000000000000000000044-4-40000-2-222-2-2220000000000000000000000-2-22200000000000000000000000000000000000000
χ9844-4-444-200242-4-44-4-4-20000-4-444-24-24-4222-22-2-400000000000000000000000000-4-444000022-2-2-2-222000000000000000000000022-2-200000000000000000000000000000000000000
χ9944-4-44-2400-4-2-4-424-424000000004-2-2-222-424-4-22000000000000004i−4i0000004i4i−4i−4i000000000000-2-222000000000000000000−2i2i0000000000−2i−2i2i2i000000000000000000000000000000
χ10044-4-44-2400-4-2-4-424-424000000004-2-2-222-424-4-2200000000000000−4i4i000000−4i−4i4i4i000000000000-2-2220000000000000000002i−2i00000000002i2i−2i−2i000000000000000000000000000000
χ10144-4-4-24-2002422-4-22-4-22323−23−2344-4-41-2-2-222-121-1-220000−3−3332323−23−2300000000000000-2-2222323−23−23-2-22211-1-100−3−333000000000000000011-1-1−3−3330000000000000000000000000000000000
χ10244-4-4-24-2002422-4-22-4-22323−23−23-4-4441-2-2-222-121-1-220000−3−3332323−23−230000000000000022-2-2−23−23232322-2-211-1-100−3−3330000000000000000-1-11133−3−30000000000000000000000000000000000
χ10344-4-4-24-2002422-4-22-4-2−23−23232344-4-41-2-2-222-121-1-22000033−3−3−23−23232300000000000000-2-222−23−232323-2-22211-1-10033−3−3000000000000000011-1-133−3−30000000000000000000000000000000000
χ10444-4-4-24-2002422-4-22-4-2−23−232323-4-4441-2-2-222-121-1-22000033−3−3−23−2323230000000000000022-2-22323−23−2322-2-211-1-10033−3−30000000000000000-1-111−3−3330000000000000000000000000000000000
χ10544-4-4-2-2400-4-2-422-22242323−23−230000-21-21-1222-22-2-100002323−23−23−3−333004i−4i00−2i3−2i32i32i3−2i−2i2i2i00000000000011-1-100−3−333000000i3i3−i3−i300−2i2i0000000000ii−i−i000000000000000000000000000000
χ10644-4-4-2-2400-4-2-422-22242323−23−230000-21-21-1222-22-2-100002323−23−23−3−33300−4i4i002i32i3−2i3−2i32i2i−2i−2i00000000000011-1-100−3−333000000−i3−i3i3i3002i−2i0000000000−i−iii000000000000000000000000000000
χ10744-4-4-2-2400-4-2-422-2224−23−2323230000-21-21-1222-22-2-10000−23−23232333−3−3004i−4i002i32i3−2i3−2i3−2i−2i2i2i00000000000011-1-10033−3−3000000−i3−i3i3i300−2i2i0000000000ii−i−i000000000000000000000000000000
χ10844-4-4-2-2400-4-2-422-2224−23−2323230000-21-21-1222-22-2-10000−23−23232333−3−300−4i4i00−2i3−2i32i32i32i2i−2i−2i00000000000011-1-10033−3−3000000i3i3−i3−i3002i−2i0000000000−i−iii000000000000000000000000000000
χ1094-44-444-200-2-424-4-4-44200004i−4i4i−4i-24-2-4-42-2-22224000000000000000000000000004i−4i4i−4i0000−2i2i−2i2i-222-20000000000000000000000−2i2i−2i2i00000000000000000000000000000000000000
χ1104-44-444-200-2-424-4-4-4420000−4i4i−4i4i-24-2-4-42-2-2222400000000000000000000000000−4i4i−4i4i00002i−2i2i−2i-222-200000000000000000000002i−2i2i−2i00000000000000000000000000000000000000
χ1114-44-44-240042-442-4-4-2-4000000004-2-22224-2-4-42-20000000000004-400004-44-40000000000000000-222-200000000-2200-22-22000000000000000000000000000000000000000000000000
χ1124-44-44-240042-442-4-4-2-4000000004-2-22224-2-4-42-2000000000000-440000-44-440000000000000000-222-2000000002-2002-22-2000000000000000000000000000000000000000000000000
χ1134-44-4-24-200-2-42-2-42242−2i32i3−2i32i34i−4i4i−4i1-2-22221-2-1-12-20000i3−i3i3−i3−2i32i3−2i32i300000000000000−2i2i−2i2i23−2323−23−2i2i−2i2i1-1-1100i3−i3i3−i30000000000000000i−ii−i−33−330000000000000000000000000000000000
χ1144-44-4-24-200-2-42-2-42242−2i32i3−2i32i3−4i4i−4i4i1-2-22221-2-1-12-20000i3−i3i3−i3−2i32i3−2i32i3000000000000002i−2i2i−2i−2323−23232i−2i2i−2i1-1-1100i3−i3i3−i30000000000000000−ii−ii3−33−30000000000000000000000000000000000
χ1154-44-4-24-200-2-42-2-422422i3−2i32i3−2i34i−4i4i−4i1-2-22221-2-1-12-20000−i3i3−i3i32i3−2i32i3−2i300000000000000−2i2i−2i2i−2323−2323−2i2i−2i2i1-1-1100−i3i3−i3i30000000000000000i−ii−i3−33−30000000000000000000000000000000000
χ1164-44-4-24-200-2-42-2-422422i3−2i32i3−2i3−4i4i−4i4i1-2-22221-2-1-12-20000−i3i3−i3i32i3−2i32i3−2i3000000000000002i−2i2i−2i23−2323−232i−2i2i−2i1-1-1100−i3i3−i3i30000000000000000−ii−ii−33−330000000000000000000000000000000000
χ1174-44-4-2-240042-4-2222-2-4−2i32i3−2i32i30000-21-2-1-12-2-222210000−2i32i3−2i32i3i3−i3i3−i34-40000-22-22−2i32i3−2i32i30000000000001-1-1100i3−i3i3−i300-22001-11-100000000000000i3−i3i3−i3000000000000000000000000000000
χ1184-44-4-2-240042-4-2222-2-4−2i32i3−2i32i30000-21-2-1-12-2-222210000−2i32i3−2i32i3i3−i3i3−i3-4400002-22-22i3−2i32i3−2i30000000000001-1-1100i3−i3i3−i3002-200-11-1100000000000000−i3i3−i3i3000000000000000000000000000000
χ1194-44-4-2-240042-4-2222-2-42i3−2i32i3−2i30000-21-2-1-12-2-2222100002i3−2i32i3−2i3−i3i3−i3i34-40000-22-222i3−2i32i3−2i30000000000001-1-1100−i3i3−i3i300-22001-11-100000000000000−i3i3−i3i3000000000000000000000000000000
χ1204-44-4-2-240042-4-2222-2-42i3−2i32i3−2i30000-21-2-1-12-2-2222100002i3−2i32i3−2i3−i3i3−i3i3-4400002-22-2−2i32i3−2i32i30000000000001-1-1100−i3i3−i3i3002-200-11-1100000000000000i3−i3i3−i3000000000000000000000000000000
χ1214-4-444-244i−4i-424-4-2-442-44i−4i−4i4i00004-2-22-2-2-42-44224i−4i−2i2i4i−4i−4i4i−2i2i2i−2i00000000000000000000000000-22-22−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1224-4-444-24−4i4i-424-4-2-442-4−4i4i4i−4i00004-2-22-2-2-42-4422−4i4i2i−2i−4i4i4i−4i2i−2i−2i2i00000000000000000000000000-22-222i−2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1234-4-444-2-24i−4i22-2-4-2-44224i−4i−4i4i0000-2-212-212-12-2-12−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000001-11-1i−ii−i−ii0000−2i32i30000000023−230000000000000000000000000i3−i30−33000000000000
χ1244-4-444-2-24i−4i22-2-4-2-44224i−4i−4i4i0000-2-212-212-12-2-12−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000001-11-1i−ii−i−ii00002i3−2i300000000−23230000000000000000000000000−i3i303−3000000000000
χ1254-4-444-2-2−4i4i22-2-4-2-4422−4i4i4i−4i0000-2-212-212-12-2-122i−2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000001-11-1−ii−iii−i0000−2i32i300000000−23230000000000000000000000000i3−i303−3000000000000
χ1264-4-444-2-2−4i4i22-2-4-2-4422−4i4i4i−4i0000-2-212-212-12-2-122i−2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000001-11-1−ii−iii−i00002i3−2i30000000023−230000000000000000000000000−i3i30−33000000000000
χ1274-4-44-24-24i−4i2-4-2242-2-42−2i2i2i−2i4i−4i−4i4i1-2-22-2-2-12-1122−2i2i4i−4ii−i−ii−2i2i2i−2i00004-400000000−2i2i2i−2i2-2-22−2i2i2i−2i1-11-1−2i2ii−i−ii0000000000-220000i−i−ii-111-10000000000000000000000000000000000
χ1284-4-44-24-24i−4i2-4-2242-2-42−2i2i2i−2i−4i4i4i−4i1-2-22-2-2-12-1122−2i2i4i−4ii−i−ii−2i2i2i−2i0000-44000000002i−2i−2i2i-222-22i−2i−2i2i1-11-1−2i2ii−i−ii00000000002-20000−iii−i1-1-110000000000000000000000000000000000
χ1294-4-44-24-2−4i4i2-4-2242-2-422i−2i−2i2i4i−4i−4i4i1-2-22-2-2-12-11222i−2i−4i4i−iii−i2i−2i−2i2i0000-4400000000−2i2i2i−2i-222-2−2i2i2i−2i1-11-12i−2i−iii−i00000000002-20000i−i−ii1-1-110000000000000000000000000000000000
χ1304-4-44-24-2−4i4i2-4-2242-2-422i−2i−2i2i−4i4i4i−4i1-2-22-2-2-12-11222i−2i−4i4i−iii−i2i−2i−2i2i00004-4000000002i−2i−2i2i2-2-222i−2i−2i2i1-11-12i−2i−iii−i0000000000-220000−iii−i-111-10000000000000000000000000000000000
χ1314-4-44-2-244i−4i-4242-22-22-4−2i2i2i−2i0000-21-2-11-2222-22-14i−4i−2i2i−2i2i2i−2ii−i−ii000000−2i32i32i3−2i323−23−23230000000000001-11-1−2i2ii−i−ii000000i3−i3−i3i300000000000000−333−3000000000000000000000000000000
χ1324-4-44-2-244i−4i-4242-22-22-4−2i2i2i−2i0000-21-2-11-2222-22-14i−4i−2i2i−2i2i2i−2ii−i−ii0000002i3−2i3−2i32i3−232323−230000000000001-11-1−2i2ii−i−ii000000−i3i3i3−i3000000000000003−3−33000000000000000000000000000000
χ1334-4-44-2-24−4i4i-4242-22-22-42i−2i−2i2i0000-21-2-11-2222-22-1−4i4i2i−2i2i−2i−2i2i−iii−i000000−2i32i32i3−2i3−232323−230000000000001-11-12i−2i−iii−i000000i3−i3−i3i3000000000000003−3−33000000000000000000000000000000
χ1344-4-44-2-24−4i4i-4242-22-22-42i−2i−2i2i0000-21-2-11-2222-22-1−4i4i2i−2i2i−2i−2i2i−iii−i0000002i3−2i3−2i32i323−23−23230000000000001-11-12i−2i−iii−i000000−i3i3i3−i300000000000000−333−3000000000000000000000000000000
χ1358888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-40000222222222222-4-4-4-42222222200000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1368888-4-4-4-8-8-4-4-4-4-4-4-4-4-4444400002222222222224444-2-2-2-2-2-2-2-200000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ13788-8-88-4-4004-44-848-84-400000000-4-42-44-24-2-44240000000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ13888-8-8-4-4-4004-4444-444-44343−43−4300002222-2-2-2-22-22-20000−23−232323−23−23232300000000000000000000000000-1-1110033−3−30000000000000000000000000000000000000000000000000000000000
χ13988-8-8-4-4-4004-4444-444-4−43−43434300002222-2-2-2-22-22-200002323−23−232323−23−2300000000000000000000000000-1-11100−3−3330000000000000000000000000000000000000000000000000000000000
χ1408-88-88-4-400-44484-8-8-4400000000-4-4244-2-4244-2-4000000000000000000000000000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4-4-400-444-4444-44−4i34i3−4i34i30000222-2-2-222-2-2-2200002i3−2i32i3−2i32i3−2i32i3−2i300000000000000000000000000-111-100−i3i3−i3i30000000000000000000000000000000000000000000000000000000000
χ1428-88-8-4-4-400-444-4444-444i3−4i34i3−4i30000222-2-2-222-2-2-220000−2i32i3−2i32i3−2i32i3−2i32i300000000000000000000000000-111-100i3−i3i3−i30000000000000000000000000000000000000000000000000000000000
χ1438-8-88-4-4-48i−8i44-44-44-444−4i4i4i−4i0000222-222-2-2-22-2-2−4i4i−4i4i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000-11-112i−2i−iii−i0000000000000000000000000000000000000000000000000000000000
χ1448-8-88-4-4-4−8i8i44-44-44-4444i−4i−4i4i0000222-222-2-2-22-2-24i−4i4i−4i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000-11-11−2i2ii−i−ii0000000000000000000000000000000000000000000000000000000000

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