Finite Group Databasebeta

← Group #13168522

Character table — Group #13168522

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order122233366666666644443334666666666121212121212121244441212121212121212366612121212121212121224466121212121212121212121212121212121212121212122244446661212121212121244466121212121212121244122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-111111111111111111111111-11111-1-111-1-1-1-111111111111111-1-1-1-1111-111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-111111111111111111111111-111-1-11111111111-1-1-1-111111111-1-111-1-1-1-1-11-1-11111-1-11-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1111111111111111111111-11-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11111-1-111-1-111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1111-1-111-11111-1-1-1-1-1-111-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-111-1-111-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1-11111-1-11111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-111-1-1-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-111-1-1-1-1-1-11-1-1-1-1-1-1111111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-111-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11-11-1-11111-1-111-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1111-1-11111-1-1-1-1-11111-1-1111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1-1-11111-1-1-1-1-1-111111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-11111-1-111-1-1-1-1-11
χ17222222-1-12-12222-1222222-1-122-12-1-1-1-1-12-1-122-1-1-1-122002222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1220-1-1-1-10022000022-1-1-1-1-1-1-1-1-1-12200002-1-10-1-10000200-1-100-1-100000000
χ18222222-1-12-12222-1222222-1-122-12-1-1-1-1-12-1-122-1-1-1-1-2-2002222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-22011-1-100220000-2-211-1-1-1-1-1-1-1-1-2-20000-2110110000-20011001100000000
χ19222222-1-12-12222-1222222-1-1-22-12-1-1-1-1-1211-2-2111122002222-1-1-1-1-1-1-1-1-2-2-2111111-2-20111100-2-2000022-1-1-1-1-1-11111220000-2110-1-10000-200-1-1001100000000
χ20222222-1-12-12222-1222222-1-1-22-12-1-1-1-1-1211-2-21111-2-2002222-1-1-1-1-1-1-1-1-2-2-21111112-20-1-11100-2-20000-2-211-1-1-1-11111-2-200002-1-101100002001100-1-100000000
χ21222222-1-12-12222-12-2-2-2-22-1-122-12-1-1-1-1-12-1-122-1-1-1-12200-2-2-2-21111-1-1-1-1222-1-1-1-1-1-12-20-1-11100-2-2000022-1-111111111-2-200002-1-10-1-10000-20011001100000000
χ22222222-1-12-12222-12-2-2-2-22-1-122-12-1-1-1-1-12-1-122-1-1-1-1-2-200-2-2-2-21111-1-1-1-1222-1-1-1-1-1-1-2-20111100-2-20000-2-21111111111220000-2110110000200-1-100-1-100000000
χ23222222-1-12-12222-12-2-2-2-22-1-1-22-12-1-1-1-1-1211-2-211112200-2-2-2-21111-1-1-1-1-2-2-2111111-22011-1-10022000022-1-11111-1-1-1-1-2-20000-2110-1-100002001100-1-100000000
χ24222222-1-12-12222-12-2-2-2-22-1-1-22-12-1-1-1-1-1211-2-21111-2-200-2-2-2-21111-1-1-1-1-2-2-2111111220-1-1-1-100220000-2-2111111-1-1-1-12200002-1-10110000-200-1-1001100000000
χ2522222-12222-12-1-1220000-12-12-1-1-12-122-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-12022200-1-1002222-1-12200000000000022-1-1-1-1-1-1-1-1-1-102000-1-100000000-10
χ2622222-12222-12-1-1220000-12-12-1-1-12-122-1-12222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-120-222001100-2-2-2-2-1-122000000000000-2-2-1-1-11-1-111110-2000110000000010
χ2722222-12222-12-1-1220000-12-12-1-1-12-122-1-122222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-202-2-200-1-100222211-2-2000000000000-2-2111-111-1-1-1-10-2000110000000010
χ2822222-12222-12-1-1220000-12-12-1-1-12-122-1-122222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2001100-2-2-2-211-2-200000000000022111111111102000-1-100000000-10
χ2922222-12222-12-1-1220000-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2222200000000-1-1-1-1111111111-20-2-2-200-1-10022-2-2-1-122000000000000221111-1-1-1-1110-2000-1-10000000010
χ3022222-12222-12-1-1220000-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-222-2-200000000-1-1-1-1111111111-202-2-2001100-2-222-1-122000000000000-2-2111-1-1-111-1-1020001100000000-10
χ3122222-12222-12-1-1220000-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-111111111120-22200-1-10022-2-211-2-2000000000000-2-2-1-1-1111-1-111020001100000000-10
χ3222222-12222-12-1-1220000-12-1-2-1-1-12-122-1-1-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-111111111120222001100-2-22211-2-200000000000022-1-1-1-11111-1-10-2000-1-10000000010
χ332222-1222-122-1222-12222-1-122-12-1-12-1-12-122-1-1-1-1-1-10022-1-1-1-12222-1-1-1-12-1-122-1-1-1-1022002222-1-1-1-1-1-10000-1-1-1-1-1-1-1-1002200000200-1-1-1-1002000000-1-1-1-10000
χ342222-1222-122-1222-12222-1-122-12-1-12-1-12-122-1-1-1-1-1-100-2-2-1-1-1-12222-1-1-1-12-1-122-1-1-1-102-20022-2-2-1-111110000-1-1-1-1-1-1-1-100-2-200000-200111100-200000011110000
χ352222-1222-122-1222-12222-1-12-2-12-1-12-1-12-1-2-21111110022-1-1-1-12222-1-1-1-1-211-2-211110-2-200-2-22211-1-1110000-1-1-1-11111002200000-200-1-11100-2000000-1-1110000
χ362222-1222-122-1222-12222-1-12-2-12-1-12-1-12-1-2-211111100-2-2-1-1-1-12222-1-1-1-1-211-2-211110-2200-2-2-2-21111-1-10000-1-1-1-1111100-2-20000020011-1-100200000011-1-10000
χ372222-1222-122-1222-1-2-2-2-2-1-122-12-1-12-1-12-122-1-1-1-1-1-100221111-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2200-2-22211-1-1-1-100001111111100-2-200000200-1-1-1-100-200000011110000
χ382222-1222-122-1222-1-2-2-2-2-1-122-12-1-12-1-12-122-1-1-1-1-1-100-2-21111-2-2-2-2-1-1-1-12-1-122-1-1-1-10-2-200-2-2-2-2111111000011111111002200000-2001111002000000-1-1-1-10000
χ392222-1222-122-1222-1-2-2-2-2-1-12-2-12-1-12-1-12-1-2-211111100221111-2-2-2-2-1-1-1-1-211-2-2111102-2002222-1-1-1-11100001111-1-1-1-100-2-200000-200-1-11100200000011-1-10000
χ402222-1222-122-1222-1-2-2-2-2-1-12-2-12-1-12-1-12-1-2-211111100-2-21111-2-2-2-2-1-1-1-1-211-2-211110220022-2-2-1-111-1-100001111-1-1-1-100220000020011-1-100-2000000-1-1110000
χ4122-2-2222-22-2-2-2-222-222-2-222202-2-2-2-22-22-200000000000022-2-222-2-222-2-2000000000000000000000000000022-2-2000000002i−2i0000000000000002i−2i0000002i−2i00
χ4222-2-2222-22-2-2-2-222-222-2-222202-2-2-2-22-22-200000000000022-2-222-2-222-2-2000000000000000000000000000022-2-200000000−2i2i000000000000000−2i2i000000−2i2i00
χ4322-2-2222-22-2-2-2-222-2-2-22222202-2-2-2-22-22-2000000000000-2-222-2-22222-2-20000000000000000000000000000-2-222000000002i−2i0000000000000002i−2i000000−2i2i00
χ4422-2-2222-22-2-2-2-222-2-2-22222202-2-2-2-22-22-2000000000000-2-222-2-22222-2-20000000000000000000000000000-2-22200000000−2i2i000000000000000−2i2i0000002i−2i00
χ452-22-22222-2-2-2-22-2-222i−2i2i−2i2220-2-2222-2-2-2-200000000002i−2i2i−2i2i−2i2i−2i2i−2i2-2-2200000000000000002i−2i002i−2i0000002i−2i2i−2i0000002-2000000002i−2i000000000002-2000000
χ462-22-22222-2-2-2-22-2-222i−2i2i−2i2220-2-2222-2-2-2-20000000000−2i2i2i−2i2i−2i2i−2i2i−2i2-2-220000000000000000−2i2i00−2i2i0000002i−2i2i−2i000000-2200000000−2i2i00000000000-22000000
χ472-22-22222-2-2-2-22-2-22−2i2i−2i2i2220-2-2222-2-2-2-200000000002i−2i−2i2i−2i2i−2i2i−2i2i2-2-2200000000000000002i−2i002i−2i000000−2i2i−2i2i000000-22000000002i−2i00000000000-22000000
χ482-22-22222-2-2-2-22-2-22−2i2i−2i2i2220-2-2222-2-2-2-20000000000−2i2i−2i2i−2i2i−2i2i−2i2i2-2-220000000000000000−2i2i00−2i2i000000−2i2i−2i2i0000002-200000000−2i2i000000000002-2000000
χ492-22-2-12221-2-212-2-2-12i−2i2i−2i-1-1201-2-1-1211-2100−i3i3−i3−i3i3i3002i−2i−ii−ii2i−2i2i−2i-111-10−i3i300−i3−i3i3i300000002i−2i3−3−ii3−30000−ii−ii33−3−3002-200000000−ii3−3000000000-11−i3i30000
χ502-22-2-12221-2-212-2-2-12i−2i2i−2i-1-1201-2-1-1211-2100−i3i3−i3−i3i3i300−2i2i−ii−ii2i−2i2i−2i-111-10−i3i300−i3−i3i3i30000000−2i2i3−3i−i−330000−ii−ii33−3−300-2200000000i−i−330000000001-1i3−i30000
χ512-22-2-12221-2-212-2-2-12i−2i2i−2i-1-1201-2-1-1211-2100i3−i3i3i3−i3−i3002i−2i−ii−ii2i−2i2i−2i-111-10i3−i300i3i3−i3−i300000002i−2i−33−ii−330000−ii−ii−3−333002-200000000−ii−33000000000-11i3−i30000
χ522-22-2-12221-2-212-2-2-12i−2i2i−2i-1-1201-2-1-1211-2100i3−i3i3i3−i3−i300−2i2i−ii−ii2i−2i2i−2i-111-10i3−i300i3i3−i3−i30000000−2i2i−33i−i3−30000−ii−ii−3−33300-2200000000i−i3−30000000001-1−i3i30000
χ532-22-2-12221-2-212-2-2-1−2i2i−2i2i-1-1201-2-1-1211-2100−i3i3−i3−i3i3i3002i−2ii−ii−i−2i2i−2i2i-111-10−i3i300−i3−i3i3i300000002i−2i−33−ii3−30000i−ii−i−3−33300-2200000000−ii3−30000000001-1i3−i30000
χ542-22-2-12221-2-212-2-2-1−2i2i−2i2i-1-1201-2-1-1211-2100−i3i3−i3−i3i3i300−2i2ii−ii−i−2i2i−2i2i-111-10−i3i300−i3−i3i3i30000000−2i2i−33i−i−330000i−ii−i−3−333002-200000000i−i−33000000000-11−i3i30000
χ552-22-2-12221-2-212-2-2-1−2i2i−2i2i-1-1201-2-1-1211-2100i3−i3i3i3−i3−i3002i−2ii−ii−i−2i2i−2i2i-111-10i3−i300i3i3−i3−i300000002i−2i3−3−ii−330000i−ii−i33−3−300-2200000000−ii−330000000001-1−i3i30000
χ562-22-2-12221-2-212-2-2-1−2i2i−2i2i-1-1201-2-1-1211-2100i3−i3i3i3−i3−i300−2i2ii−ii−i−2i2i−2i2i-111-10i3−i300i3i3−i3−i30000000−2i2i3−3i−i3−30000i−ii−i33−3−3002-200000000i−i3−3000000000-11i3−i30000
χ572-2-22222-2-2222-2-2-2-22i−2i−2i2i2220-22-2-2-2-22-22000000002i−2i002i−2i−2i2i2i−2i−2i2i2-22-20000000000000000000000002i−2i2i−2i2i−2i−2i2i00002-2000000002i−2i00000002-2000000000000
χ582-2-22222-2-2222-2-2-2-22i−2i−2i2i2220-22-2-2-2-22-2200000000−2i2i002i−2i−2i2i2i−2i−2i2i2-22-2000000000000000000000000−2i2i−2i2i2i−2i−2i2i0000-2200000000−2i2i0000000-22000000000000
χ592-2-22222-2-2222-2-2-2-2−2i2i2i−2i2220-22-2-2-2-22-22000000002i−2i00−2i2i2i−2i−2i2i2i−2i2-22-20000000000000000000000002i−2i2i−2i−2i2i2i−2i0000-22000000002i−2i0000000-22000000000000
χ602-2-22222-2-2222-2-2-2-2−2i2i2i−2i2220-22-2-2-2-22-2200000000−2i2i00−2i2i2i−2i−2i2i2i−2i2-22-2000000000000000000000000−2i2i−2i2i−2i2i2i−2i00002-200000000−2i2i00000002-2000000000000
χ612-2-2222-11-2-122-2-21-22i−2i−2i2i2-1-10-2-1-2111-1123−3003−33−32i−2i002i−2i−2i2i−iii−i-11-110003−33−33−3000−i3i3−i3i3000000002i−2i−ii−iii−i−i3i3−i3i32-200000−i3i30−ii0000000-11003−300000000
χ622-2-2222-11-2-122-2-21-22i−2i−2i2i2-1-10-2-1-2111-1123−3003−33−3−2i2i002i−2i−2i2i−iii−i-11-110003−33−33−3000i3−i3−i3i300000000−2i2ii−i−iii−i−i3i3−i3i3-2200000i3−i30i−i00000001-100−3300000000
χ632-2-2222-11-2-122-2-21-22i−2i−2i2i2-1-10-2-1-2111-112−3300−33−332i−2i002i−2i−2i2i−iii−i-11-11000−33−33−33000i3−i3i3−i3000000002i−2i−ii−iii−ii3−i3i3−i32-200000i3−i30−ii0000000-1100−3300000000
χ642-2-2222-11-2-122-2-21-22i−2i−2i2i2-1-10-2-1-2111-112−3300−33−33−2i2i002i−2i−2i2i−iii−i-11-11000−33−33−33000−i3i3i3−i300000000−2i2ii−i−iii−ii3−i3i3−i3-2200000−i3i30i−i00000001-1003−300000000
χ652-2-2222-11-2-122-2-21-2−2i2i2i−2i2-1-10-2-1-2111-1123−3003−33−32i−2i00−2i2i2i−2ii−i−ii-11-110003−33−33−3000−i3i3i3−i3000000002i−2i−iii−i−iii3−i3i3−i3-2200000−i3i30−ii00000001-100−3300000000
χ662-2-2222-11-2-122-2-21-2−2i2i2i−2i2-1-10-2-1-2111-1123−3003−33−3−2i2i00−2i2i2i−2ii−i−ii-11-110003−33−33−3000i3−i3i3−i300000000−2i2ii−ii−i−iii3−i3i3−i32-200000i3−i30i−i0000000-11003−300000000
χ672-2-2222-11-2-122-2-21-2−2i2i2i−2i2-1-10-2-1-2111-112−3300−33−332i−2i00−2i2i2i−2ii−i−ii-11-11000−33−33−33000i3−i3−i3i3000000002i−2i−iii−i−ii−i3i3−i3i3-2200000i3−i30−ii00000001-1003−300000000
χ682-2-2222-11-2-122-2-21-2−2i2i2i−2i2-1-10-2-1-2111-112−3300−33−33−2i2i00−2i2i2i−2ii−i−ii-11-11000−33−33−33000−i3i3−i3i300000000−2i2ii−ii−i−ii−i3i3−i3i32-200000−i3i30i−i0000000-1100−3300000000
χ6944444-2-2-24-2-24-2-2-240000-2-214-21-2-21-2-21-2-2-244-2-2-2-24400000000001111-2-2-2111111400-2-20000000000-2-2-2-200000000000000-211011000000000000000000000
χ7044444-2-2-24-2-24-2-2-240000-2-214-21-2-21-2-21-2-2-244-2-2-2-2-4-400000000001111-2-2-2111111-4002200000000002222000000000000002-1-10-1-1000000000000000000000
χ7144444-2-2-24-2-24-2-2-240000-2-21-4-21-2-21-2-21-222-4-422224400000000001111222-1-1-1-1-1-1-400220000000000-2-2-2-2000000000000002-1-1011000000000000000000000
χ7244444-2-2-24-2-24-2-2-240000-2-21-4-21-2-21-2-21-222-4-42222-4-400000000001111222-1-1-1-1-1-1400-2-20000000000222200000000000000-2110-1-1000000000000000000000
χ734444-24-2-2-2-24-244-2-24444-21-24-2-2-21-211-2-2-2-2-2-211110000-2-2-2-2-2-2-2-211114-2-2-2-2111104000-2-200-2-20000000011111111000000000000000000000000000000000
χ744444-24-2-2-2-24-244-2-24444-21-2-4-2-2-21-211-2-22222-1-1-1-10000-2-2-2-2-2-2-2-21111-42222-1-1-1-10-4000220022000000001111-1-1-1-1000000000000000000000000000000000
χ754444-24-2-2-2-24-244-2-2-4-4-4-4-21-24-2-2-21-211-2-2-2-2-2-2111100002222222211114-2-2-2-211110-400022002200000000-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ764444-24-2-2-2-24-244-2-2-4-4-4-4-21-2-4-2-2-21-211-2-22222-1-1-1-10000222222221111-42222-1-1-1-104000-2-200-2-200000000-1-1-1-11111000000000000000000000000000000000
χ774444-2-244-24-2-2-2-24-200001-2-241-21-2-2-2-2-2144-2-2-2-2-2-20044000000001111-211-2-211110040000-2-200-2-2-2-2000000000000000000000-200111100000000000000000
χ784444-2-244-24-2-2-2-24-200001-2-241-21-2-2-2-2-2144-2-2-2-2-2-200-4-4000000001111-211-2-2111100-4000022002222000000000000000000000200-1-1-1-100000000000000000
χ794444-2-244-24-2-2-2-24-200001-2-2-41-21-2-2-2-2-21-4-422222200440000000011112-1-122-1-1-1-100-40000-2-200-2-22200000000000000000000020011-1-100000000000000000
χ804444-2-244-24-2-2-2-24-200001-2-2-41-21-2-2-2-2-21-4-422222200-4-40000000011112-1-122-1-1-1-10040000220022-2-2000000000000000000000-200-1-11100000000000000000
χ8144-4-444-2242-4-4-44-2-444-4-44-2-2042-422-22-2-400000000000044-4-4-2-222-2-2220000000000000000000000000000-2-2220000000000000000000000000000000000000
χ8244-4-444-2242-4-4-44-2-4-4-4444-2-2042-422-22-2-4000000000000-4-44422-2-2-2-222000000000000000000000000000022-2-20000000000000000000000000000000000000
χ8344-4-44-24-44-42-42-24-40000-24-20-222-424-4-2200000000000000000000-2-22200000000000000000000000000000000000000004i−4i000000000000000−2i2i0000000000
χ8444-4-44-24-44-42-42-24-40000-24-20-222-424-4-2200000000000000000000-2-2220000000000000000000000000000000000000000−4i4i0000000000000002i−2i0000000000
χ8544-4-4-244-4-2-4-42-444244-4-4-2-240-2-422-4-2242000000000000-2-22244-4-4-2-2220000000000000000000000000000-2-2220000000000000000000000000000000000000
χ8644-4-4-244-4-2-4-42-4442-4-444-2-240-2-422-4-224200000000000022-2-2-4-444-2-222000000000000000000000000000022-2-20000000000000000000000000000000000000
χ8744-4-4-24-22-22-42-44-2244-4-4-21-20-222-121-1-2200003i−3i−3i3i0000-2-222-2-22211-1-1000003i−3i−3i3i000000000000000000011-1-1−3i3i3i−3i000000000000000000000000000000000
χ8844-4-4-24-22-22-42-44-2244-4-4-21-20-222-121-1-220000−3i3i3i−3i0000-2-222-2-22211-1-100000−3i3i3i−3i000000000000000000011-1-13i−3i−3i3i000000000000000000000000000000000
χ8944-4-4-24-22-22-42-44-22-4-444-21-20-222-121-1-2200003i−3i−3i3i000022-2-222-2-211-1-1000003i−3i−3i3i0000000000000000000-1-1113i−3i−3i3i000000000000000000000000000000000
χ9044-4-4-24-22-22-42-44-22-4-444-21-20-222-121-1-220000−3i3i3i−3i000022-2-222-2-211-1-100000−3i3i3i−3i0000000000000000000-1-111−3i3i3i−3i000000000000000000000000000000000
χ914-44-444-2-2-42-4-44-4244i−4i4i−4i4-2-20-424-2-2222-40000000000004i−4i4i−4i−2i2i−2i2i-222-20000000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000
χ924-44-444-2-2-42-4-44-424−4i4i−4i4i4-2-20-424-2-2222-4000000000000−4i4i−4i4i2i−2i2i−2i-222-200000000000000000000000000002i−2i2i−2i0000000000000000000000000000000000000
χ934-44-44-244-4-42-4-22-440000-24-2022-24-2-4-42200000000004i−4i00000000-222-20000000000000000−2i2i004i−4i00000000000000000000000000−2i2i0000000000000000000
χ944-44-44-244-4-42-4-22-440000-24-2022-24-2-4-4220000000000−4i4i00000000-222-200000000000000002i−2i00−4i4i000000000000000000000000002i−2i0000000000000000000
χ954-44-4-24-2-222-424-42-24i−4i4i−4i-21-2022-21-2-1-12200−2i32i3i3i3−i3−i30000−2i2i−2i2i−2i2i−2i2i1-1-110−2i32i300i3i3−i3−i300000000023−2300000000i−ii−i−3−333000000000000000000000000000000000
χ964-44-4-24-2-222-424-42-24i−4i4i−4i-21-2022-21-2-1-122002i3−2i3−i3−i3i3i30000−2i2i−2i2i−2i2i−2i2i1-1-1102i3−2i300−i3−i3i3i3000000000−232300000000i−ii−i33−3−3000000000000000000000000000000000
χ974-44-4-24-2-222-424-42-2−4i4i−4i4i-21-2022-21-2-1-12200−2i32i3i3i3−i3−i300002i−2i2i−2i2i−2i2i−2i1-1-110−2i32i300i3i3−i3−i3000000000−232300000000−ii−ii33−3−3000000000000000000000000000000000
χ984-44-4-24-2-222-424-42-2−4i4i−4i4i-21-2022-21-2-1-122002i3−2i3−i3−i3i3i300002i−2i2i−2i2i−2i2i−2i1-1-1102i3−2i300−i3−i3i3i300000000023−2300000000−ii−ii−3−333000000000000000000000000000000000
χ994-44-4-2-2442-422-22-4-200001-2-20-121-2-2222-100−2i32i3−2i3−2i32i32i3004i−4i000000001-1-110i3−i300i3i3−i3−i30000000−2i2i00−2i2i23−23000000000000000000000000i−i−3300000000000000000
χ1004-44-4-2-2442-422-22-4-200001-2-20-121-2-2222-100−2i32i3−2i3−2i32i32i300−4i4i000000001-1-110i3−i300i3i3−i3−i300000002i−2i002i−2i−2323000000000000000000000000−ii3−300000000000000000
χ1014-44-4-2-2442-422-22-4-200001-2-20-121-2-2222-1002i3−2i32i32i3−2i3−2i3004i−4i000000001-1-110−i3i300−i3−i3i3i30000000−2i2i00−2i2i−2323000000000000000000000000i−i3−300000000000000000
χ1024-44-4-2-2442-422-22-4-200001-2-20-121-2-2222-1002i3−2i32i32i3−2i3−2i300−4i4i000000001-1-110−i3i300−i3−i3i3i300000002i−2i002i−2i23−23000000000000000000000000−ii−3300000000000000000
χ1034-4-444-24-4-44-2422-4-40000-24-202-22-42-442-2000000004i−4i0000000000-22-22000000000000000000000000−2i2i4i−4i000000000000000000−2i2i000000000000000000000
χ1044-4-444-24-4-44-2422-4-40000-24-202-22-42-442-200000000−4i4i0000000000-22-220000000000000000000000002i−2i−4i4i0000000000000000002i−2i000000000000000000000
χ1054-4-444-2-22-4-2-24222-40000-2-2102122-12-2-1-223−230023−2323−234i−4i00000000001-11-1000−33−33−33000−2i32i30000000000−2i2i−2i2i000000000000000i3−i30i−i000000000000000000000
χ1064-4-444-2-22-4-2-24222-40000-2-2102122-12-2-1-223−230023−2323−23−4i4i00000000001-11-1000−33−33−330002i3−2i300000000002i−2i2i−2i000000000000000−i3i30−ii000000000000000000000
χ1074-4-444-2-22-4-2-24222-40000-2-2102122-12-2-1-2−232300−2323−23234i−4i00000000001-11-10003−33−33−30002i3−2i30000000000−2i2i−2i2i000000000000000−i3i30i−i000000000000000000000
χ1084-4-444-2-22-4-2-24222-40000-2-2102122-12-2-1-2−232300−2323−2323−4i4i00000000001-11-10003−33−33−3000−2i32i300000000002i−2i2i−2i000000000000000i3−i30−ii000000000000000000000
χ1094-4-44-244-4244-2-4-4-424i−4i−4i4i-2-2402422-42-2-4-2000000000000−2i2i2i−2i4i−4i−4i4i-22-220000000000000000000000000000−2i2i2i−2i0000000000000000000000000000000000000
χ1104-4-44-244-4244-2-4-4-42−4i4i4i−4i-2-2402422-42-2-4-20000000000002i−2i−2i2i−4i4i4i−4i-22-2200000000000000000000000000002i−2i−2i2i0000000000000000000000000000000000000
χ1114-4-44-24-222-24-2-4-4224i−4i−4i4i-21-202-22-12-112-223−2300−33−330000−2i2i2i−2i−2i2i2i−2i1-11-100023−23−33−3300000−2i32i3000000000000i−i−iii3−i3i3−i3000000000000000000000000000000000
χ1124-4-44-24-222-24-2-4-4224i−4i−4i4i-21-202-22-12-112-2−2323003−33−30000−2i2i2i−2i−2i2i2i−2i1-11-1000−23233−33−3000002i3−2i3000000000000i−i−ii−i3i3−i3i3000000000000000000000000000000000
χ1134-4-44-24-222-24-2-4-422−4i4i4i−4i-21-202-22-12-112-223−2300−33−3300002i−2i−2i2i2i−2i−2i2i1-11-100023−23−33−33000002i3−2i3000000000000−iii−i−i3i3−i3i3000000000000000000000000000000000
χ1144-4-44-24-222-24-2-4-422−4i4i4i−4i-21-202-22-12-112-2−2323003−33−300002i−2i−2i2i2i−2i−2i2i1-11-1000−23233−33−300000−2i32i3000000000000−iii−ii3−i3i3−i3000000000000000000000000000000000
χ1158888-4-4-4-4-4-4-4-4-4-4-4-400002228222222222-4-4-4-42222000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-4-4-4-4-4-4-4-4-40000222-82222222224444-2-2-2-2000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-44844-84-4-4-80000-4-420-4-244-2-44240000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-48-8-4-8444-48400002-4-4024-244-44-4-20000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-44-44444-4-44000022202-2-2-2-22-22-200006i−6i−6i6i000000000000-1-11100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-44-44444-4-44000022202-2-2-2-22-22-20000−6i6i6i−6i000000000000-1-111000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1218-88-88-4-4-4-844-8-44480000-4-4204-2-4-4244-24000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-4-44444-444-400002220-2-2222-2-2-2-200−4i34i32i32i3−2i3−2i3000000000000-111-102i3−2i300−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-4-44444-444-400002220-2-2222-2-2-2-2004i3−4i3−2i3−2i32i32i3000000000000-111-10−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-48-848-4-444-8400002-4-40-2-4-2444-442000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-444-4-4-4444400002220-22-2-2-2-22-2243−4300−2323−2323000000000000-11-11000−23233−33−3000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-444-4-4-4444400002220-22-2-2-2-22-22−43430023−2323−23000000000000-11-1100023−23−33−33000000000000000000000000000000000000000000000000000000000000

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