Finite Group Databasebeta

← Group #13169180

Character table — Group #13169180

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order12223336666666663334666666666121212121212121244444444121212121212121236661212121212121212122466121212121212121212121212121212121212121212122244666121212121212122244666666121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-11111111111-1-1-1-1-1-111111111-1-111111-111-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-11-1-11111-1-1-1-11111111111111111-1-1-1-1-11-1-111111-1-1-1-1-11111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1111
χ51111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-111-1-1-1-1-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-11-1-1-1-1-11111-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-11111-1-1-11-1-1-1-1-1-11111-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-11-111111-1-111-1-1-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-1111-111-1-1-1-11111-1-111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111111-1-1-111-1-1-1-11-1-1-111-1-1-1-11111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1111-1-111-1-11-1-1-111-1-1-1-1111-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1-1-111-1-11-111-1-1-1-11111-1-11-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-111-11-111111-1-111-1-1-11-1
χ17222222-12-1-1222-122-1-122-12-1-12-1-12-1-1-122-1-1-1-122220022-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10200-1-122000022-1-1-1-1-1-1-1-1-1-1-1-12200000200-1-1-1-1200000-1-1-1-10000000
χ18222222-12-1-1222-122-1-122-12-1-12-1-12-1-1-122-1-1-1-1222200-2-2-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-200-1-1220000-2-21111-1-1-1-1-1-1-1-1-2-200000-2001111-20000011110000000
χ19222222-12-1-1222-122-1-122-12-1-12-1-12-1-1-122-1-1-1-1-2-2-2-200221111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1020011-2-2000022-1-1-1-111111111-2-200000200-1-1-1-1-20000011110000000
χ20222222-12-1-1222-122-1-122-12-1-12-1-12-1-1-122-1-1-1-1-2-2-2-200-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-20011-2-20000-2-21111111111112200000-2001111200000-1-1-1-10000000
χ21222222-12-1-1222-122-1-12-2-12-1-12-1-12-111-2-2111122-2-2002211112222-1-1-1-1-2-2-21111110-200-1-1-2-2000022-1-111-1-1-1-111112200000-200-1-111-200000-1-1110000000
χ22222222-12-1-1222-122-1-12-2-12-1-12-1-12-111-2-2111122-2-200-2-211112222-1-1-1-1-2-2-21111110200-1-1-2-20000-2-211-1-1-1-1-1-11111-2-20000020011-1-120000011-1-10000000
χ23222222-12-1-1222-122-1-12-2-12-1-12-1-12-111-2-21111-2-2220022-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-2001122000022-1-1111111-1-1-1-1-2-200000-200-1-11120000011-1-10000000
χ24222222-12-1-1222-122-1-12-2-12-1-12-1-12-111-2-21111-2-22200-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-2111111020011220000-2-211-1-11111-1-1-1-1220000020011-1-1-200000-1-1110000000
χ2522222-12-1222-1-12222-1-12-1-12-1-122-1-1222222220000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-12222000000000000-1-1-1-1-1-1-1-1-1-10220-1-100000000-100
χ2622222-12-1222-1-12222-1-12-1-12-1-122-1-122222222000022-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-222000022-1-111-2-2-2-2000000000000-1-1-11-1-111110-2-201100000000100
χ2722222-12-1222-1-12222-1-12-1-12-1-122-1-1222222220000-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-20000-2-211-1-12222000000000000111-111-1-1-1-10-2-201100000000100
χ2822222-12-1222-1-12222-1-12-1-12-1-122-1-1222222220000-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-21111-2-2-2-200000000000011111111110220-1-100000000-100
χ2922222-12-1222-1-12222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20000222200000000-1-1-1-1111111111-2-2-2-2000022-1-1-1-122-2-20000000000001111-1-1-1-11102-20-1-100000000100
χ3022222-12-1222-1-12222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2000022-2-200000000-1-1-1-1111111111-22-2-2000022-1-111-2-222000000000000111-1-1-111-1-10-2201100000000-100
χ3122222-12-1222-1-12222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20000-2-22200000000-1-1-1-11111111112-2220000-2-211-1-122-2-2000000000000-1-1-1111-1-1110-2201100000000-100
χ3222222-12-1222-1-12222-1-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-20000-2-2-2-200000000-1-1-1-111111111122220000-2-21111-2-222000000000000-1-1-1-11111-1-102-20-1-100000000100
χ332222-122222-1222-1-1-12-122-1-12-1-1-1-1222-1-1-1-1-1-1222222002222-1-1-1-1-1-1-1-12-1-122-1-1-1-120-1-122-1-1-1-122000000-1-1-1-1-1-1-1-100222-1-10-1-100000002000000-1-1-1-1000
χ342222-122222-1222-1-1-12-122-1-12-1-1-1-1222-1-1-1-1-1-12222-2-2002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-201122-1-111-2-2000000-1-1-1-1-1-1-1-100-2-2-2110110000000-20000001111000
χ352222-122222-1222-1-1-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-2-2-22200-2-2-2-21111-1-1-1-12-1-122-1-1-1-120-1-1-2-211-1-1220000001111111100-2-22-1-10-1-10000000-20000001111000
χ362222-122222-1222-1-1-12-122-1-12-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-2011-2-21111-2-2000000111111110022-21101100000002000000-1-1-1-1000
χ372222-122222-1222-1-1-12-1-22-1-12-1-1-1-12-2-211111122-2-22200-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-20112211-1-122000000-1-1-1-1111100-2-2-2110-1-100000002000000-1-111000
χ382222-122222-1222-1-1-12-1-22-1-12-1-1-1-12-2-211111122-2-2-2-200-2-2-2-2-1-1-1-1-1-1-1-1-211-2-2111120-1-1221111-2-2000000-1-1-1-1111100222-1-10110000000-200000011-1-1000
χ392222-122222-1222-1-1-12-1-22-1-12-1-1-1-12-2-2111111-2-222220022221111-1-1-1-1-211-2-21111-2011-2-2-1-1-1-1220000001111-1-1-1-10022-2110-1-10000000-200000011-1-1000
χ402222-122222-1222-1-1-12-1-22-1-12-1-1-1-12-2-2111111-2-222-2-20022221111-1-1-1-1-211-2-2111120-1-1-2-2-1-111-2-20000001111-1-1-1-100-2-22-1-101100000002000000-1-111000
χ4122-2-2222-2-22-22-2-2-22222022-2-2-22-2-2-200000000002i−2i2i−2i002i2i−2i−2i000022-2-20000000000000002i−2i2i−2i2i−2i00000000002i2i−2i−2i002-200002i−2i00000000000000002-2000
χ4222-2-2222-2-22-22-2-2-22222022-2-2-22-2-2-200000000002i−2i−2i2i002i2i−2i−2i000022-2-20000000000000002i−2i−2i2i−2i2i00000000002i2i−2i−2i00-220000−2i2i0000000000000000-22000
χ4322-2-2222-2-22-22-2-2-22222022-2-2-22-2-2-20000000000−2i2i2i−2i00−2i−2i2i2i000022-2-2000000000000000−2i2i2i−2i2i−2i0000000000−2i−2i2i2i00-2200002i−2i0000000000000000-22000
χ4422-2-2222-2-22-22-2-2-22222022-2-2-22-2-2-20000000000−2i2i−2i2i00−2i−2i2i2i000022-2-2000000000000000−2i2i−2i2i−2i2i0000000000−2i−2i2i2i002-20000−2i2i00000000000000002-2000
χ4522-2-2-122-2-2212-2-21-1-12-102-11-21-111-2003−333−3−3002i−2i2i−2i002i2i−2i−2i−i3−i3i3i3-1-11103−30033−3−300−i3i300−ii−ii2i−2i000000−i3−i3i3i3−i−iii002-20−i3i30−ii000000000000003−3-11000
χ4622-2-2-122-2-2212-2-21-1-12-102-11-21-111-2003−333−3−3002i−2i−2i2i002i2i−2i−2i−i3−i3i3i3-1-11103−30033−3−300i3−i300−iii−i−2i2i000000−i3−i3i3i3−i−iii00-220i3−i30i−i00000000000000−331-1000
χ4722-2-2-122-2-2212-2-21-1-12-102-11-21-111-2003−333−3−300−2i2i2i−2i00−2i−2i2i2ii3i3−i3−i3-1-11103−30033−3−300−i3i300i−i−ii2i−2i000000i3i3−i3−i3ii−i−i00-220−i3i30−ii00000000000000−331-1000
χ4822-2-2-122-2-2212-2-21-1-12-102-11-21-111-2003−333−3−300−2i2i−2i2i00−2i−2i2i2ii3i3−i3−i3-1-11103−30033−3−300i3−i300i−ii−i−2i2i000000i3i3−i3−i3ii−i−i002-20i3−i30i−i000000000000003−3-11000
χ4922-2-2-122-2-2212-2-21-1-12-102-11-21-111-200−33−3−333002i−2i2i−2i002i2i−2i−2ii3i3−i3−i3-1-1110−3300−3−33300i3−i300−ii−ii2i−2i000000i3i3−i3−i3−i−iii002-20i3−i30−ii00000000000000−33-11000
χ5022-2-2-122-2-2212-2-21-1-12-102-11-21-111-200−33−3−333002i−2i−2i2i002i2i−2i−2ii3i3−i3−i3-1-1110−3300−3−33300−i3i300−iii−i−2i2i000000i3i3−i3−i3−i−iii00-220−i3i30i−i000000000000003−31-1000
χ5122-2-2-122-2-2212-2-21-1-12-102-11-21-111-200−33−3−33300−2i2i2i−2i00−2i−2i2i2i−i3−i3i3i3-1-1110−3300−3−33300i3−i300i−i−ii2i−2i000000−i3−i3i3i3ii−i−i00-220i3−i30−ii000000000000003−31-1000
χ5222-2-2-122-2-2212-2-21-1-12-102-11-21-111-200−33−3−33300−2i2i−2i2i00−2i−2i2i2i−i3−i3i3i3-1-1110−3300−3−33300−i3i300i−ii−i−2i2i000000−i3−i3i3i3ii−i−i002-20−i3i30i−i00000000000000−33-11000
χ532-22-222222-2-2-2-2-22-22220-2-2222-2-2-2-2000000002i−2i00002i−2i00002i−2i2i−2i2-2-2200000000000002i−2i0000002i−2i2i−2i002i−2i2i−2i00002-2000000002i−2i000000002-2000000000
χ542-22-222222-2-2-2-2-22-22220-2-2222-2-2-2-2000000002i−2i0000−2i2i00002i−2i2i−2i2-2-2200000000000002i−2i000000−2i2i−2i2i002i−2i2i−2i0000-2200000000−2i2i00000000-22000000000
χ552-22-222222-2-2-2-2-22-22220-2-2222-2-2-2-200000000−2i2i00002i−2i0000−2i2i−2i2i2-2-220000000000000−2i2i0000002i−2i2i−2i00−2i2i−2i2i0000-22000000002i−2i00000000-22000000000
χ562-22-222222-2-2-2-2-22-22220-2-2222-2-2-2-200000000−2i2i0000−2i2i0000−2i2i−2i2i2-2-220000000000000−2i2i000000−2i2i−2i2i00−2i2i−2i2i00002-200000000−2i2i000000002-2000000000
χ572-22-222-12-11-2-2-212-2-1-1201-2-1-1211-21−i3i300−i3i3−i3i32i−2i00002i−2i3−33−32i−2i2i−2i-111-1000−i3i3−i3i3−i3i30000−ii0000002i−2i−ii3−3−ii−ii3−33−32-200000000−ii3−3000000-11−i3i30000000
χ582-22-222-12-11-2-2-212-2-1-1201-2-1-1211-21−i3i300−i3i3−i3i32i−2i0000−2i2i3−33−32i−2i2i−2i-111-1000−i3i3−i3i3−i3i30000−ii000000−2i2ii−i−33−ii−ii3−33−3-2200000000i−i−330000001-1i3−i30000000
χ592-22-222-12-11-2-2-212-2-1-1201-2-1-1211-21−i3i300−i3i3−i3i3−2i2i00002i−2i−33−33−2i2i−2i2i-111-1000−i3i3−i3i3−i3i30000i−i0000002i−2i−ii3−3i−ii−i−33−33-2200000000−ii3−30000001-1i3−i30000000
χ602-22-222-12-11-2-2-212-2-1-1201-2-1-1211-21−i3i300−i3i3−i3i3−2i2i0000−2i2i−33−33−2i2i−2i2i-111-1000−i3i3−i3i3−i3i30000i−i000000−2i2ii−i−33i−ii−i−33−332-200000000i−i−33000000-11−i3i30000000
χ612-22-222-12-11-2-2-212-2-1-1201-2-1-1211-21i3−i300i3−i3i3−i32i−2i00002i−2i−33−332i−2i2i−2i-111-1000i3−i3i3−i3i3−i30000−ii0000002i−2i−ii−33−ii−ii−33−332-200000000−ii−33000000-11i3−i30000000
χ622-22-222-12-11-2-2-212-2-1-1201-2-1-1211-21i3−i300i3−i3i3−i32i−2i0000−2i2i−33−332i−2i2i−2i-111-1000i3−i3i3−i3i3−i30000−ii000000−2i2ii−i3−3−ii−ii−33−33-2200000000i−i3−30000001-1−i3i30000000
χ632-22-222-12-11-2-2-212-2-1-1201-2-1-1211-21i3−i300i3−i3i3−i3−2i2i00002i−2i3−33−3−2i2i−2i2i-111-1000i3−i3i3−i3i3−i30000i−i0000002i−2i−ii−33i−ii−i3−33−3-2200000000−ii−330000001-1−i3i30000000
χ642-22-222-12-11-2-2-212-2-1-1201-2-1-1211-21i3−i300i3−i3i3−i3−2i2i0000−2i2i3−33−3−2i2i−2i2i-111-1000i3−i3i3−i3i3−i30000i−i000000−2i2ii−i3−3i−ii−i3−33−32-200000000i−i3−3000000-11i3−i30000000
χ6544444-2-2-2-2-24-2-2-244-21-241-2-21-2-2-2-21-2-244-2-2-2-200000044000000001111-2-2-2111111040000000000-2-2-2-2-2-2000000000000000-200111100000000000000000
χ6644444-2-2-2-2-24-2-2-244-21-241-2-21-2-2-2-21-2-244-2-2-2-2000000-4-4000000001111-2-2-21111110-40000000000222222000000000000000200-1-1-1-100000000000000000
χ6744444-2-2-2-2-24-2-2-244-21-2-41-2-21-2-2-2-2122-4-4222200000044000000001111222-1-1-1-1-1-10-40000000000-2-2-2-22200000000000000020011-1-100000000000000000
χ6844444-2-2-2-2-24-2-2-244-21-2-41-2-21-2-2-2-2122-4-42222000000-4-4000000001111222-1-1-1-1-1-10400000000002222-2-2000000000000000-200-1-11100000000000000000
χ694444-24-24-2-2-244-2-2-21-2-24-2-21-2-211-2-2-2-2-2-2111144440000-2-2-2-2-2-2-2-211114-2-2-2-211110000-2-2-2-20000000000111111110000000000000000000000000000000
χ704444-24-24-2-2-244-2-2-21-2-24-2-21-2-211-2-2-2-2-2-21111-4-4-4-400002222222211114-2-2-2-21111000022220000000000-1-1-1-1-1-1-1-10000000000000000000000000000000
χ714444-24-24-2-2-244-2-2-21-2-2-4-2-21-2-211-2-22222-1-1-1-144-4-400002222-2-2-2-21111-42222-1-1-1-10000-2-22200000000001111-1-1-1-10000000000000000000000000000000
χ724444-24-24-2-2-244-2-2-21-2-2-4-2-21-2-211-2-22222-1-1-1-1-4-4440000-2-2-2-222221111-42222-1-1-1-1000022-2-20000000000-1-1-1-111110000000000000000000000000000000
χ734444-2-24-244-2-2-24-2-2-2-214-21-2-21-2-21-244-2-2-2-2-2-200004400000000001111-211-2-2111140-2-20000-2-2-2-2000000000000000000-211011000000000000000000000
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χ754444-2-24-244-2-2-24-2-2-2-21-4-21-2-21-2-21-2-4-4222222000044000000000011112-1-122-1-1-1-1-40220000-2-2-2-20000000000000000002-1-1011000000000000000000000
χ764444-2-24-244-2-2-24-2-2-2-21-4-21-2-21-2-21-2-4-42222220000-4-4000000000011112-1-122-1-1-1-140-2-200002222000000000000000000-2110-1-1000000000000000000000
χ7744-4-444-2-42-2-44-42-44-2-240-2422-4-22-4200000000004i−4i0000−2i−2i2i2i0000-2-2220000000000000004i−4i00000000000000−2i−2i2i2i0000000000000000000000000000000
χ7844-4-444-2-42-2-44-42-44-2-240-2422-4-22-420000000000−4i4i00002i2i−2i−2i0000-2-222000000000000000−4i4i000000000000002i2i−2i−2i0000000000000000000000000000000
χ7944-4-44-242-44-4-22-4-444-2-20-2-2-4224-4220000000000004i−4i0000000000-2-222000000000000000004i−4i−2i2i0000000000000000000000−2i2i000000000000000000000
χ8044-4-44-242-44-4-22-4-444-2-20-2-2-4224-422000000000000−4i4i0000000000-2-22200000000000000000−4i4i2i−2i00000000000000000000002i−2i000000000000000000000
χ8144-4-4-24-2-42-224-422-21-2-20-2-2-1221-1220023−23−3−333004i−4i0000−2i−2i2i2i−2i3−2i32i32i311-1-1023−2300−3−333000000−2i2i0000000000i3i3−i3−i3ii−i−i0000000000000000000000000000000
χ8244-4-4-24-2-42-224-422-21-2-20-2-2-1221-1220023−23−3−33300−4i4i00002i2i−2i−2i2i32i3−2i3−2i311-1-1023−2300−3−3330000002i−2i0000000000−i3−i3i3i3−i−iii0000000000000000000000000000000
χ8344-4-4-24-2-42-224-422-21-2-20-2-2-1221-12200−232333−3−3004i−4i0000−2i−2i2i2i2i32i3−2i3−2i311-1-10−23230033−3−3000000−2i2i0000000000−i3−i3i3i3ii−i−i0000000000000000000000000000000
χ8444-4-4-24-2-42-224-422-21-2-20-2-2-1221-12200−232333−3−300−4i4i00002i2i−2i−2i−2i3−2i32i32i311-1-10−23230033−3−30000002i−2i0000000000i3i3−i3−i3−i−iii0000000000000000000000000000000
χ8544-4-4-2-242-442-22-42-2-2-210-2122-1-22-120023−232323−23−2300004i−4i000000000011-1-10−3300−3−33300−2i32i30000−2i2i−2i2i0000000000000000000i3−i30i−i000000000000000000000
χ8644-4-4-2-242-442-22-42-2-2-210-2122-1-22-120023−232323−23−230000−4i4i000000000011-1-10−3300−3−333002i3−2i300002i−2i2i−2i0000000000000000000−i3i30−ii000000000000000000000
χ8744-4-4-2-242-442-22-42-2-2-210-2122-1-22-1200−2323−23−23232300004i−4i000000000011-1-103−30033−3−3002i3−2i30000−2i2i−2i2i0000000000000000000−i3i30i−i000000000000000000000
χ8844-4-4-2-242-442-22-42-2-2-210-2122-1-22-1200−2323−23−2323230000−4i4i000000000011-1-103−30033−3−300−2i32i300002i−2i2i−2i0000000000000000000i3−i30−ii000000000000000000000
χ894-44-44-24-24-4-422-44-44-2-20224-2-2-4-422000000000000004i−4i00000000-222-2000000000000000000000−2i2i4i−4i00000000000000000000−2i2i0000000000000000000
χ904-44-44-24-24-4-422-44-44-2-20224-2-2-4-42200000000000000−4i4i00000000-222-20000000000000000000002i−2i−4i4i000000000000000000002i−2i0000000000000000000
χ914-44-44-2-2-2-22-42224-4-21-20-12-21-2222-1−2i32i300−2i32i3−2i32i30000004i−4i000000001-1-11000i3−i3i3−i3i3−i3000000000000−2i2i−2i2i23−23000000000000000000i−i−3300000000000000000
χ924-44-44-2-2-2-22-42224-4-21-20-12-21-2222-1−2i32i300−2i32i3−2i32i3000000−4i4i000000001-1-11000i3−i3i3−i3i3−i30000000000002i−2i2i−2i−2323000000000000000000−ii3−300000000000000000
χ934-44-44-2-2-2-22-42224-4-21-20-12-21-2222-12i3−2i3002i3−2i32i3−2i30000004i−4i000000001-1-11000−i3i3−i3i3−i3i3000000000000−2i2i−2i2i−2323000000000000000000i−i3−300000000000000000
χ944-44-44-2-2-2-22-42224-4-21-20-12-21-2222-12i3−2i3002i3−2i32i3−2i3000000−4i4i000000001-1-11000−i3i3−i3i3−i3i30000000000002i−2i2i−2i23−23000000000000000000−ii−3300000000000000000
χ954-44-4-24444-42-4-4-4-22-24-20-42-24-2222-4000000004i−4i0000000000−2i2i−2i2i-222-200000000000004i−4i000000000000−2i2i−2i2i00000000000000000000000000000000000
χ964-44-4-24444-42-4-4-4-22-24-20-42-24-2222-400000000−4i4i00000000002i−2i2i−2i-222-20000000000000−4i4i0000000000002i−2i2i−2i00000000000000000000000000000000000
χ974-44-4-24-24-222-4-42-221-2-20221-2-2-1-122−2i32i300i3−i3i3−i34i−4i00000023−2323−23−2i2i−2i2i1-1-11000−2i32i3i3−i3i3−i30000−2i2i000000000000i−ii−i−33−330000000000000000000000000000000
χ984-44-4-24-24-222-4-42-221-2-20221-2-2-1-122−2i32i300i3−i3i3−i3−4i4i000000−2323−23232i−2i2i−2i1-1-11000−2i32i3i3−i3i3−i300002i−2i000000000000−ii−ii3−33−30000000000000000000000000000000
χ994-44-4-24-24-222-4-42-221-2-20221-2-2-1-1222i3−2i300−i3i3−i3i34i−4i000000−2323−2323−2i2i−2i2i1-1-110002i3−2i3−i3i3−i3i30000−2i2i000000000000i−ii−i3−33−30000000000000000000000000000000
χ1004-44-4-24-24-222-4-42-221-2-20221-2-2-1-1222i3−2i300−i3i3−i3i3−4i4i00000023−2323−232i−2i2i−2i1-1-110002i3−2i3−i3i3−i3i300002i−2i000000000000−ii−ii−33−330000000000000000000000000000000
χ1014-4-44444-4-4-44-444-4-44440-4-4-4-4-4-44440000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-2-4224-44-2-4-4-2-2402-422-42-24-20000000000000000−2i32i32i3−2i30000-22-220000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ1034-4-4444-2-4224-44-2-4-4-2-2402-422-42-24-200000000000000002i3−2i3−2i32i30000-22-2200000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ1044-4-444-242-4-442-24-4-44-2-2022-422-44-2-2000000000000000000000000-22-2200000000000000000000000000000000000000000000000000000−2i32i300000000000
χ1054-4-444-242-4-442-24-4-44-2-2022-422-44-2-2000000000000000000000000-22-22000000000000000000000000000000000000000000000000000002i3−2i300000000000
χ1064-4-44-244-4-4-4-2-44422-24-20-422-422-2-240000000000000000000023−23−2323-22-2200000000000000000000000000023−23−232300000000000000000000000000000000000
χ1074-4-44-244-4-4-4-2-44422-24-20-422-422-2-2400000000000000000000−232323−23-22-22000000000000000000000000000−232323−2300000000000000000000000000000000000
χ1084-4-44-24-2-422-2-44-2221-2-2022-122-11-2-200003i−3i−3i3i00000000−2i32i32i3−2i323−23−23231-11-1000003i−3i−3i3i000000000000000000−333−3i3−i3−i3i30000000000000000000000000000000
χ1094-4-44-24-2-422-2-44-2221-2-2022-122-11-2-200003i−3i−3i3i000000002i3−2i3−2i32i3−232323−231-11-1000003i−3i−3i3i0000000000000000003−3−33−i3i3i3−i30000000000000000000000000000000
χ1104-4-44-24-2-422-2-44-2221-2-2022-122-11-2-20000−3i3i3i−3i00000000−2i32i32i3−2i3−232323−231-11-100000−3i3i3i−3i0000000000000000003−3−33i3−i3−i3i30000000000000000000000000000000
χ1114-4-44-24-2-422-2-44-2221-2-2022-122-11-2-20000−3i3i3i−3i000000002i3−2i3−2i32i323−23−23231-11-100000−3i3i3i−3i000000000000000000−333−3−i3i3i3−i30000000000000000000000000000000
χ1128888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1138888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ11488-8-88-4-444-4-8-444-88-42-402-44-24-444-200000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-444-44-4444-4222022-2-2-22-2-2-20043−43−23−2323230000000000000000-1-1110−23230033−3−3000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-444-44-4444-4222022-2-2-22-2-2-200−43432323−23−230000000000000000-1-111023−2300−3−333000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-48-48-8444-8-44-4-4204-2-4-4244-240000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-4-4-444444-442220-2-2222-2-2-2-2−4i34i3002i3−2i32i3−2i30000000000000000-111-10002i3−2i3−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4-4-444444-442220-2-2222-2-2-2-24i3−4i300−2i32i3−2i32i30000000000000000-111-1000−2i32i3i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1208-8-888-4-444484-4-4-8-8-42-40-244-244-4-420000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-484-8-8-44-4844-4-4204-244-24-42-40000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-4444-44-4-4442220-2-2-2-2-2-222200006i−6i−6i6i0000000000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4444-44-4-4442220-2-2-2-2-2-22220000−6i6i6i−6i0000000000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000

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