Finite Group Databasebeta

← Group #13172337

Character table — Group #13172337

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121224242424242436363636363636363636363636367272108108
order12222233366666666666663336666666666666666666664444121212123666666666224466666666666666661212121212121212121212121212121212121212121212122244446612121212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-11-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-11111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111111-1-1111-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-111-1-111-1-11-111-1-111-1-11-1-11
χ101111-1-11111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111111-1-1111-1-1-1-11-1-1111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-1111-1-1-11111-1-1-111-1
χ111111-1-11111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111111-1-1111-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11-111-1-11-1-11-1111-1-1-1-111-111-1
χ121111-1-11111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111-1-1-1-111111-1-111111-1-1111-1-1-1-1-11-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-11-1-111-111-1-11-1-111-1-1111-1-11
χ131111-1-11111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-11-1-1111-1-1-1-11-11-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111-111-1-1-111-1-11-1-111-1-1111-11-1
χ141111-1-11111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-11-1-1111-1-1-1-11-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-1111-1-11-1111-1-1-1-111-11-11
χ151111-1-11111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-11-1-1111-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111111-111-1-1-1-1111-1-1-11111-1-1-11-11
χ161111-1-11111-1-1-1-111111111111-1-1-1-1111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-11-1-1111-1-1-1-1-11-11-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-11111-11-1-11111-1-11-111-1-111-1-11-11-1
χ1722222222-1222222-1-1222-122-1-122-1-122-12222-1-1-1-1-1-1-1-1-1200000000-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1220000002200000000-1-1-1-1-1-102020000000000-1-100
χ1822222222-1222222-1-1222-122-1-122-1-122-12222-1-1-1-1-1-1-1-1-1200000000-1-1-1-1-1-1-1-1-1-122-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000-2-2000000001111110-20-200000000001100
χ1922222222-1222222-1-1222-122-1-122-1-122-12222-1-1-1-1-1-1-1-1-1200000000-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2111111111111220000002200000000-1-1-1-1-1-10-20-200000000001100
χ2022222222-1222222-1-1222-122-1-122-1-122-12222-1-1-1-1-1-1-1-1-1200000000-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2000000-2-20000000011111102020000000000-1-100
χ212222222-1222222-1222-1-122-1-12-1-122-1-1-1-1-1-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100220000000000000000-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1202000-1-1-1-100000000
χ222222222-1222222-1222-1-122-1-12-1-122-1-1-1-1-1-1-12222222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000000000000000112222-1-111-1-1-1-1-1-1-1-1-2-21111-20-2000111100000000
χ232222222-1222222-1222-1-122-1-12-1-122-1-1-1-1-1-1-12222222-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-1-1-100220000000000000000-1-1-2-2-2-211-1-11111111122-1-1-1-1-20-2000111100000000
χ242222222-1222222-1222-1-122-1-12-1-122-1-1-1-1-1-1-12222222-1-1-1-2-2-2-21111-1-1-1-1-1-1-1-1-1-100-2-2000000000000000011-2-2-2-2111111111111-2-21111202000-1-1-1-100000000
χ25222222-122-1-1-1-1-1222-1222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-1-122-122222222-122-1-1-1-1-1-1-12200-1-1-1-12222-1-1-1-1-1-1-1-100-1-1-1-12200-1-1-1-1-1-1-1-10000000000220000-1-1-1-10000
χ26222222-122-1-1-1-1-1222-1222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-1-122-122222222-122-1-1-1-1-1-1-1-2-2001111-2-2-2-21111111100-1-1-1-12200-1-1-1-1-1-1-1-10000000000-2-2000011110000
χ27222222-122-1-1-1-1-1222-1222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-12200-1-1-1-12222-1-1-1-1-1-1-1-1001111-2-200111111110000000000-2-2000011110000
χ28222222-122-1-1-1-1-1222-1222-1-12-12222-1-12-1-1-1-1-1-1-1-1-1-1-122-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-1-2-2001111-2-2-2-211111111001111-2-200111111110000000000220000-1-1-1-10000
χ292222-2-222-12-2-2-2-22-1-1222-122-1-1-2-21122-1-2-2-2-2-1-1-11111-1-1200000000-111-1-1-111112-22-222-2-2-1-111-1-1-1-11111-2-20000002200000000-11-1-111020-20000000000-1100
χ302222-2-222-12-2-2-2-22-1-1222-122-1-1-2-21122-1-2-2-2-2-1-1-11111-1-1200000000-111-1-1-111112-2-2222-2-2-1-111-1-1-1-1111122000000-2-2000000001-111-1-10-20200000000001-100
χ312222-2-222-12-2-2-2-22-1-1222-122-1-1-2-21122-1-2-2-2-2-1-1-11111-1-1200000000-111-1-1-11111-222-2-2-22211-1-11111-1-1-1-1-2-20000002200000000-11-1-1110-20200000000001-100
χ322222-2-222-12-2-2-2-22-1-1222-122-1-1-2-21122-1-2-2-2-2-1-1-11111-1-1200000000-111-1-1-11111-22-22-2-22211-1-11111-1-1-1-122000000-2-2000000001-111-1-1020-20000000000-1100
χ332222-2-22-122-2-2-2-2-1222-1-122-1-1211-2-2-1-1-11111222-2-2-2-2-1-1-122-2-2-1-1-1-1-111-1-1-11111002-200000000000000001122-2-211-1-1-1-1-1-111112-2-1-11120-2000-1-11100000000
χ342222-2-22-122-2-2-2-2-1222-1-122-1-1211-2-2-1-1-11111222-2-2-2-2-1-1-122-2-2-1-1-1-1-111-1-1-1111100-220000000000000000-1-122-2-21111-1-1-1-11111-2211-1-1-20200011-1-100000000
χ352222-2-22-122-2-2-2-2-1222-1-122-1-1211-2-2-1-1-11111222-2-2-2-2-1-1-1-2-2221111-111-1-1-11111002-2000000000000000011-2-222-1-1-1-11111-1-1-1-12-2-1-111-20200011-1-100000000
χ362222-2-22-122-2-2-2-2-1222-1-122-1-1211-2-2-1-1-11111222-2-2-2-2-1-1-1-2-2221111-111-1-1-1111100-220000000000000000-1-1-2-222-1-1111111-1-1-1-1-2211-1-120-2000-1-11100000000
χ372222-2-2-122-11111222-1222-1-12-1-2-2-2-2-1-121111-1-1-1111122-122-2-22222-1-2-2-1-1-111112-200-1-11122-2-2-1-1-1-1111100-1-111-2-200-1-1-1-1111100000000002-20000-1-1110000
χ382222-2-2-122-11111222-1222-1-12-1-2-2-2-2-1-121111-1-1-1111122-122-2-22222-1-2-2-1-1-11111-220011-1-1-2-2221111-1-1-1-100-1-111-2-200-1-1-1-111110000000000-22000011-1-10000
χ392222-2-2-122-11111222-1222-1-12-1-2-2-2-2-1-121111-1-1-1111122-1-2-222-2-2-2-2-1-2-2-1-1-111112-200-1-11122-2-2-1-1-1-111110011-1-122001111-1-1-1-10000000000-22000011-1-10000
χ402222-2-2-122-11111222-1222-1-12-1-2-2-2-2-1-121111-1-1-1111122-1-2-222-2-2-2-2-1-2-2-1-1-11111-220011-1-1-2-2221111-1-1-1-10011-1-122001111-1-1-1-100000000002-20000-1-1110000
χ4122-2-22-2222222-2-2-2-2-2-22-22-22222-22-22-2222-2-22-2-222-2-2-2-2-22i−2i2i−2i2i2i−2i−2i22-22-2-222-2-200000000000000000000002i−2i2i−2i2i−2i002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4222-2-22-2222222-2-2-2-2-2-22-22-22222-22-22-2222-2-22-2-222-2-2-2-2-2−2i2i−2i2i−2i−2i2i2i22-22-2-222-2-20000000000000000000000−2i2i−2i2i−2i2i00−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4322-2-22-22-12222-2-21-2-2-2-112-2-1-12-112-2-11-1-1-1112-2-222-2-21112i−2i2i−2i−i−iii-1-11-111-1-111000000000000000000003−32i−2i2i−2i−ii3−3−i−iii−i−iii003−33−3000000−i3i3−i3i300000000
χ4422-2-22-22-12222-2-21-2-2-2-112-2-1-12-112-2-11-1-1-1112-2-222-2-21112i−2i2i−2i−i−iii-1-11-111-1-11100000000000000000000−332i−2i2i−2i−ii−33−i−iii−i−iii00−33−33000000i3−i3i3−i300000000
χ4522-2-22-22-12222-2-21-2-2-2-112-2-1-12-112-2-11-1-1-1112-2-222-2-2111−2i2i−2i2iii−i−i-1-11-111-1-111000000000000000000003−3−2i2i−2i2ii−i3−3ii−i−iii−i−i003−33−3000000i3−i3i3−i300000000
χ4622-2-22-22-12222-2-21-2-2-2-112-2-1-12-112-2-11-1-1-1112-2-222-2-2111−2i2i−2i2iii−i−i-1-11-111-1-11100000000000000000000−33−2i2i−2i2ii−i−33ii−i−iii−i−i00−33−33000000−i3i3−i3i300000000
χ4722-2-22-2-122-1-1-111-2-2-212-221-12-12-22-2-112-1-111-111-1-111-2-212i−2i2i−2i2i2i−2i−2i-12-2-111-1-1110000−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i300−ii−ii2i−2i00−i−iii−i−iii00000000000000003−33−30000
χ4822-2-22-2-122-1-1-111-2-2-212-221-12-12-22-2-112-1-111-111-1-111-2-212i−2i2i−2i2i2i−2i−2i-12-2-111-1-1110000i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i300−ii−ii2i−2i00−i−iii−i−iii0000000000000000−33−330000
χ4922-2-22-2-122-1-1-111-2-2-212-221-12-12-22-2-112-1-111-111-1-111-2-21−2i2i−2i2i−2i−2i2i2i-12-2-111-1-1110000−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i300i−ii−i−2i2i00ii−i−iii−i−i0000000000000000−33−330000
χ5022-2-22-2-122-1-1-111-2-2-212-221-12-12-22-2-112-1-111-111-1-111-2-21−2i2i−2i2i−2i−2i2i2i-12-2-111-1-1110000i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i300i−ii−i−2i2i00ii−i−iii−i−i00000000000000003−33−30000
χ5122-2-2-222222-2-222-2-2-2-22-22-2222-22-222-22-2-2222-2-2-2-222-2-2-22i−2i−2i2i2i2i−2i−2i2-222-2-2-2-22200000000000000000000002i−2i−2i2i−2i2i002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5222-2-2-222222-2-222-2-2-2-22-22-2222-22-222-22-2-2222-2-2-2-222-2-2-2−2i2i2i−2i−2i−2i2i2i2-222-2-2-2-2220000000000000000000000−2i2i2i−2i2i−2i00−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5322-2-2-222-122-2-2221-2-2-2-112-2-1-121-1-22-11-111-1-12-2-2-2-2221112i−2i−2i2i−i−iii-11-1-11111-1-1000000000000000000003−32i−2i−2i2ii−i−33−i−iiiii−i−i00−333−3000000i3−i3−i3i300000000
χ5422-2-2-222-122-2-2221-2-2-2-112-2-1-121-1-22-11-111-1-12-2-2-2-2221112i−2i−2i2i−i−iii-11-1-11111-1-100000000000000000000−332i−2i−2i2ii−i3−3−i−iiiii−i−i003−3−33000000−i3i3i3−i300000000
χ5522-2-2-222-122-2-2221-2-2-2-112-2-1-121-1-22-11-111-1-12-2-2-2-222111−2i2i2i−2iii−i−i-11-1-11111-1-1000000000000000000003−3−2i2i2i−2i−ii−33ii−i−i−i−iii00−333−3000000−i3i3i3−i300000000
χ5622-2-2-222-122-2-2221-2-2-2-112-2-1-121-1-22-11-111-1-12-2-2-2-222111−2i2i2i−2iii−i−i-11-1-11111-1-100000000000000000000−33−2i2i2i−2i−ii3−3ii−i−i−i−iii003−3−33000000i3−i3−i3i300000000
χ5722-2-2-22-122-111-1-1-2-2-212-221-12-1-22-22-11211-1-1-11111-1-1-2-212i−2i−2i2i2i2i−2i−2i-1-22-11111-1-10000−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i300−iii−i−2i2i00−i−iiiii−i−i00000000000000003−3−330000
χ5822-2-2-22-122-111-1-1-2-2-212-221-12-1-22-22-11211-1-1-11111-1-1-2-212i−2i−2i2i2i2i−2i−2i-1-22-11111-1-10000i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i300−iii−i−2i2i00−i−iiiii−i−i0000000000000000−333−30000
χ5922-2-2-22-122-111-1-1-2-2-212-221-12-1-22-22-11211-1-1-11111-1-1-2-21−2i2i2i−2i−2i−2i2i2i-1-22-11111-1-10000−i3i3i3−i30000−i3−i3i3i3i3i3−i3−i300i−i−ii2i−2i00ii−i−i−i−iii0000000000000000−333−30000
χ6022-2-2-22-122-111-1-1-2-2-212-221-12-1-22-22-11211-1-1-11111-1-1-2-21−2i2i2i−2i−2i−2i2i2i-1-22-11111-1-10000i3−i3−i3i30000i3i3−i3−i3−i3−i3i3i300i−i−ii2i−2i00ii−i−i−i−iii00000000000000003−3−330000
χ614444444-2-244444-2-2-24-2-2-24-21-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-211-200000000111111111100440000000000000000-2-2000000-2-200000000-2-21111000000000000000000
χ624444444-2-244444-2-2-24-2-2-24-21-2-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-211-200000000111111111100-4-4000000000000000022000000220000000022-1-1-1-1000000000000000000
χ63444444-24-2-2-2-2-2-24-2-2-244-2-2-2-2144-2-2-2-2-2-2-2-2-21111111-2-2-2000000001-2-211111114400-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ64444444-24-2-2-2-2-2-24-2-2-244-2-2-2-2144-2-2-2-2-2-2-2-2-21111111-2-2-2000000001-2-21111111-4-40022222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ65444444-2-24-2-2-2-2-2-244-2-2-24-21-2-2-2-24411-21111-2-2-2-2-2-2-2-2-214444-2-2-2-21-2-211111110000000000000000000000-2-2-2-2-2-20011111111000000000000000000000000
χ66444444-2-24-2-2-2-2-2-244-2-2-24-21-2-2-2-24411-21111-2-2-2-2-2-2-2-2-21-4-4-4-422221-2-21111111000000000000000000000022222200-1-1-1-1-1-1-1-1000000000000000000000000
χ674444-4-44-2-24-4-4-4-4-2-2-24-2-2-24-21-22222-2-212222-2-2-2222211-2000000001-1-1111-1-1-1-1004-4000000000000000022000000-2-200000000-2211-1-1000000000000000000
χ684444-4-44-2-24-4-4-4-4-2-2-24-2-2-24-21-22222-2-212222-2-2-2222211-2000000001-1-1111-1-1-1-100-440000000000000000-2-200000022000000002-2-1-111000000000000000000
χ694444-4-4-24-2-222224-2-2-244-2-2-2-21-4-422-2-2-22222111-1-1-1-1-2-2-200000000122111-1-1-1-14-400-2-222-2-2221111-1-1-1-1000000000000000000000000000000000000000000
χ704444-4-4-24-2-222224-2-2-244-2-2-2-21-4-422-2-2-22222111-1-1-1-1-2-2-200000000122111-1-1-1-1-440022-2-222-2-2-1-1-1-11111000000000000000000000000000000000000000000
χ714444-4-4-2-24-22222-244-2-2-24-21-2-222-4-411-2-1-1-1-1-2-2-22222-2-2144-4-4-2-2-2-2122111-1-1-1-10000000000000000000000-2-22222001111-1-1-1-1000000000000000000000000
χ724444-4-4-2-24-22222-244-2-2-24-21-2-222-4-411-2-1-1-1-1-2-2-22222-2-21-4-4442222122111-1-1-1-1000000000000000000000022-2-2-2-200-1-1-1-11111000000000000000000000000
χ7344-4-44-444-2444-4-4-422-44-4-2-44-2-24-4-224-4-244-4-4-222-2-22222-400000000-2-22-222-2-22200000000000000000000000000000000000000000000000000000000000000
χ7444-4-44-44-2-2444-4-4222-4-22-2-4-21-2-22-22-221-2-222-222-2-222-1-120000000011-11-1-111-1-10000000000000000000023−2300000023−230000000000−33−33000000000000000000
χ7544-4-44-44-2-2444-4-4222-4-22-2-4-21-2-22-22-221-2-222-222-2-222-1-120000000011-11-1-111-1-100000000000000000000−2323000000−232300000000003−33−3000000000000000000
χ7644-4-44-4-24-2-2-2-222-42224-4-22-2-214-4-22-22-2-2-2221-1-111-1-1222000000001-221-1-111-1-10000−2i32i3−2i32i30000i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ7744-4-44-4-24-2-2-2-222-42224-4-22-2-214-4-22-22-2-2-2221-1-111-1-1222000000001-221-1-111-1-100002i3−2i32i3−2i30000−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ7844-4-44-4-2-24-2-2-2222-4-42-22421-2-2-224-41-1-211-1-1-222-2-22222-14i−4i4i−4i−2i−2i2i2i1-221-1-111-1-10000000000000000000000−2i2i−2i2i−2i2i00ii−i−iii−i−i000000000000000000000000
χ7944-4-44-4-2-24-2-2-2222-4-42-22421-2-2-224-41-1-211-1-1-222-2-22222-1−4i4i−4i4i2i2i−2i−2i1-221-1-111-1-100000000000000000000002i−2i2i−2i2i−2i00−i−iii−i−iii000000000000000000000000
χ8044-4-4-4444-24-4-444-422-44-4-2-44-2-2-442-24-4-2-4-444-22222-2-222-400000000-22-2-22222-2-200000000000000000000000000000000000000000000000000000000000000
χ8144-4-4-444-2-24-4-444222-4-22-2-4-21-22-22-2-22122-2-2-22222-2-2-1-12000000001-111-1-1-1-1110000000000000000000023−23000000−232300000000003−3−33000000000000000000
χ8244-4-4-444-2-24-4-444222-4-22-2-4-21-22-22-2-22122-2-2-22222-2-2-1-12000000001-111-1-1-1-11100000000000000000000−232300000023−230000000000−333−3000000000000000000
χ8344-4-4-44-24-2-222-2-2-42224-4-22-2-21-442-2-22-222-2-21-1-1-1-1112220000000012-21-1-1-1-1110000−2i32i32i3−2i30000i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ8444-4-4-44-24-2-222-2-2-42224-4-22-2-21-442-2-22-222-2-21-1-1-1-1112220000000012-21-1-1-1-11100002i3−2i3−2i32i30000−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ8544-4-4-44-2-24-222-2-22-4-42-22421-2-22-2-441-1-2-1-111-22222-2-222-14i−4i−4i4i−2i−2i2i2i12-21-1-1-1-1110000000000000000000000−2i2i2i−2i2i−2i00ii−i−i−i−iii000000000000000000000000
χ8644-4-4-44-2-24-222-2-22-4-42-22421-2-22-2-441-1-2-1-111-22222-2-222-1−4i4i4i−4i2i2i−2i−2i12-21-1-1-1-11100000000000000000000002i−2i−2i2i−2i2i00−i−iiiii−i−i000000000000000000000000
χ874-44-400444-40000-44-44-44-4-44440000-4-4-40000-44-400004-4400000000400-44-4000000000000000000000000000000000000000000000000000000000000000000
χ884-44-40044-2-40000-4-224-442-44-2-20000-4-4200002-220000-22400000000-2002-22000000000000−2i32i300−2i32i3−2i32i30000000000000000000000000000000000000000000000
χ894-44-40044-2-40000-4-224-442-44-2-20000-4-4200002-220000-22400000000-2002-220000000000002i3−2i3002i3−2i32i3−2i30000000000000000000000000000000000000000000000
χ904-44-4004-24-4000024-442-2-4-4-2-2400002220000-44-40000-22-20000−2i32i3−2i32i3-2002-220000000000000000000000000000000000−2i32i3−2i32i30000000000000000000000000000
χ914-44-4004-24-4000024-442-2-4-4-2-2400002220000-44-40000-22-200002i3−2i32i3−2i3-2002-2200000000000000000000000000000000002i3−2i32i3−2i30000000000000000000000000000
χ924-44-400-2442−2i32i3−2i32i3-44-4-2-44-42-24-2000022-4−2i32i3−2i32i32-22−2i32i3−2i32i34-4-200000000-2002-22−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000000000
χ934-44-400-24422i3−2i32i3−2i3-44-4-2-44-42-24-2000022-42i3−2i32i3−2i32-222i3−2i32i3−2i34-4-200000000-2002-222i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000000000
χ944-44-400-24-22−2i32i3−2i32i3-4-22-2-4422-2-210000222−2i32i3−2i32i3-11-1i3−i3i3−i3-22-200000000100-11-1i3−i3i3−i300000000−2i32i300i3−i3i3−i33-33-3000000000000000000000000000000000000000000
χ954-44-400-24-22−2i32i3−2i32i3-4-22-2-4422-2-210000222−2i32i3−2i32i3-11-1i3−i3i3−i3-22-200000000100-11-1i3−i3i3−i3000000002i3−2i300−i3i3−i3i3-33-33000000000000000000000000000000000000000000
χ964-44-400-24-222i3−2i32i3−2i3-4-22-2-4422-2-2100002222i3−2i32i3−2i3-11-1−i3i3−i3i3-22-200000000100-11-1−i3i3−i3i300000000−2i32i300i3−i3i3−i3-33-33000000000000000000000000000000000000000000
χ974-44-400-24-222i3−2i32i3−2i3-4-22-2-4422-2-2100002222i3−2i32i3−2i3-11-1−i3i3−i3i3-22-200000000100-11-1−i3i3−i3i3000000002i3−2i300−i3i3−i3i33-33-3000000000000000000000000000000000000000000
χ984-44-400-2-242−2i32i3−2i32i324-4-22-2-421-2-20000-1-12i3−i3i3−i32-22−2i32i3−2i32i3-2210000−2i32i3−2i32i3100-11-1i3−i3i3−i3000000000000000000000000000000i3−i3i3−i33-33-3000000000000000000000000
χ994-44-400-2-242−2i32i3−2i32i324-4-22-2-421-2-20000-1-12i3−i3i3−i32-22−2i32i3−2i32i3-22100002i3−2i32i3−2i3100-11-1i3−i3i3−i3000000000000000000000000000000−i3i3−i3i3-33-33000000000000000000000000
χ1004-44-400-2-2422i3−2i32i3−2i324-4-22-2-421-2-20000-1-12−i3i3−i3i32-222i3−2i32i3−2i3-2210000−2i32i3−2i32i3100-11-1−i3i3−i3i3000000000000000000000000000000i3−i3i3−i3-33-33000000000000000000000000
χ1014-44-400-2-2422i3−2i32i3−2i324-4-22-2-421-2-20000-1-12−i3i3−i3i32-222i3−2i32i3−2i3-22100002i3−2i32i3−2i3100-11-1−i3i3−i3i3000000000000000000000000000000−i3i3−i3i33-33-3000000000000000000000000
χ1024-4-4400444-400004-44-4-4-4-444440000-44-40000-4-440000-44-400000000400-4-44000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-440044-2-4000042-2-4-4-4244-2-20000-442000022-200002-2-400000000-20022-200000000000000−2i32i30000−2i32i32i3−2i3000000000000000000000000000000000000000000
χ1044-4-440044-2-4000042-2-4-4-4244-2-20000-442000022-200002-2-400000000-20022-2000000000000002i3−2i300002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ1054-4-44004-24-40000-2-44-422-44-2-2400002-220000-4-4400002-22000023−23−2323-20022-2000000000000000000000000000000000023−23−23230000000000000000000000000000
χ1064-4-44004-24-40000-2-44-422-44-2-2400002-220000-4-4400002-220000−232323−23-20022-20000000000000000000000000000000000−232323−230000000000000000000000000000
χ1074-4-4400-2442−2i32i32i3−2i34-442-4-4-4-2-24-200002-2-4−2i32i32i3−2i322-2−2i32i32i3−2i3-44200000000-20022-2−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000
χ1084-4-4400-24422i3−2i3−2i32i34-442-4-4-4-2-24-200002-2-42i3−2i3−2i32i322-22i3−2i3−2i32i3-44200000000-20022-22i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000
χ1094-4-4400-24-22−2i32i32i3−2i342-22-4-42-2-2-2100002-22−2i32i32i3−2i3-1-11i3−i3−i3i32-2200000000100-1-11i3−i3−i3i30000000000−2i32i33-3-33i3−i3−i3i3000000000000000000000000000000000000000000
χ1104-4-4400-24-22−2i32i32i3−2i342-22-4-42-2-2-2100002-22−2i32i32i3−2i3-1-11i3−i3−i3i32-2200000000100-1-11i3−i3−i3i300000000002i3−2i3-333-3−i3i3i3−i3000000000000000000000000000000000000000000
χ1114-4-4400-24-222i3−2i3−2i32i342-22-4-42-2-2-2100002-222i3−2i3−2i32i3-1-11−i3i3i3−i32-2200000000100-1-11−i3i3i3−i30000000000−2i32i3-333-3i3−i3−i3i3000000000000000000000000000000000000000000
χ1124-4-4400-24-222i3−2i3−2i32i342-22-4-42-2-2-2100002-222i3−2i3−2i32i3-1-11−i3i3i3−i32-2200000000100-1-11−i3i3i3−i300000000002i3−2i33-3-33−i3i3i3−i3000000000000000000000000000000000000000000
χ1134-4-4400-2-242−2i32i32i3−2i3-2-44222-4-21-2-20000-112i3−i3−i3i322-2−2i32i32i3−2i32-2-1000023−23−2323100-1-11i3−i3−i3i3000000000000000000000000000000−333−33i−3i−3i3i000000000000000000000000
χ1144-4-4400-2-242−2i32i32i3−2i3-2-44222-4-21-2-20000-112i3−i3−i3i322-2−2i32i32i3−2i32-2-10000−232323−23100-1-11i3−i3−i3i30000000000000000000000000000003−3−33−3i3i3i−3i000000000000000000000000
χ1154-4-4400-2-2422i3−2i3−2i32i3-2-44222-4-21-2-20000-112−i3i3i3−i322-22i3−2i3−2i32i32-2-1000023−23−2323100-1-11−i3i3i3−i3000000000000000000000000000000−333−3−3i3i3i−3i000000000000000000000000
χ1164-4-4400-2-2422i3−2i3−2i32i3-2-44222-4-21-2-20000-112−i3i3i3−i322-22i3−2i3−2i32i32-2-10000−232323−23100-1-11−i3i3i3−i30000000000000000000000000000003−3−333i−3i−3i3i000000000000000000000000
χ117888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-42222222222222222200000000-122-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000
χ1188888-8-8-4-4-4-44444-4-4-4-4-4-4-4-42224444222-2-2-2-2222-2-2-2-222200000000-1-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000000
χ11988-8-88-8-4-4-4-4-4-4444444-44-44222-44-442-2222-2-22-2-222-2-2-2-2-200000000-12-2-111-1-11100000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-88-4-4-4-444-4-44444-44-442224-44-42-22-2-2222-2-2-2-222-2-2-200000000-1-22-11111-1-100000000000000000000000000000000000000000000000000000000000000
χ1218-88-8008-4-4-800004-4484-44-8-42-4000044-200004-4400002-2-400000000200-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-800-4-4-44−4i34i3−4i34i34-44-44-4442220000-2-2-22i3−2i32i3−2i3-22-22i3−2i32i3−2i32-2200000000-1001-11−i3i3−i3i300000000000000000000000000000000000000000000000000000000000000
χ1238-88-800-4-4-444i3−4i34i3−4i34-44-44-4442220000-2-2-2−2i32i3−2i32i3-22-2−2i32i3−2i32i32-2200000000-1001-11i3−i3i3−i300000000000000000000000000000000000000000000000000000000000000
χ1248-8-88008-4-4-80000-44-4-84448-42-400004-4-2000044-40000-22400000000200-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-8800-4-4-44−4i34i34i3−4i3-44-44444-42220000-22-22i3−2i3−2i32i3-2-222i3−2i3−2i32i3-22-200000000-10011-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000000000
χ1268-8-8800-4-4-444i3−4i3−4i34i3-44-44444-42220000-22-2−2i32i32i3−2i3-2-22−2i32i32i3−2i3-22-200000000-10011-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000000000

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