Finite Group Databasebeta

← Group #13167952

Character table — Group #13167952

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222333344444444444444444444466666666666688888888888881212121212121212121212121212121212121212121212121212121818181818182424242424242424242436363636363636363636363636545472108
order12223336666666664444333466666666612121212121212124444121212121212121236661212121212121212124441212121212121212121212121212121212121212121212122244441212121212121212121222466661212121212124464
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-1111-1-1111111-1-111-1-11111111111-1-1-1-11-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11111111111111111111111111-11111-1-1-1-1-1-111111111111111-1-111-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111-1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-111-1-111-1-11111-1-1
χ611111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1111-1-111-1-1-11111-1-1-1-111-1-1-1-111
χ711111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-111-1-11111-1-1-111-1-1-1-111-1-111
χ811111111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1-1111111-1-111-1-1
χ91111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-11111111111111-111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-1-1-1-1-111-1-1-1-1-1-11-1
χ101111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-11111-1-11-1-1-1-1-1-1111111-11
χ111111111111111111-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-11-1-11111-1-1-1-1-1-111-11
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
χ131111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11-11-1-1111111-1-1-1-1-11
χ141111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1111-1-111-1-111-1-1-111-1-1-1-111111-1
χ151111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11-1-1-111-1-111-11111-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-111-1-111-1-111-1-1-11
χ17222222-1-12-122-122222222-1-122-1-1-12-1-12-1-1-122-1-1-1-122002222-1-1-1-1-1-1-1-12-1-122-1-1-1-1202-1-10022-1-1-1-1002200-1-1-1-1-1-1-1-1220000200000-1-1-1-1200-1-1-1-10000000000
χ18222222-1-12-122-122222222-1-122-1-1-12-1-12-1-1-122-1-1-1-1-2-2002222-1-1-1-1-1-1-1-12-1-122-1-1-1-120-2-1-100-2-21111002200-1-1-1-1-1-1-1-1-2-20000-2000001111-20011110000000000
χ19222222-1-12-122-122222222-1-1-22-1-1-12-1-12-111-2-2111122002222-1-1-1-1-1-1-1-1-211-2-21111-20-2110022-1-11100-2-200-1-1-1-11111220000-200000-1-111-200-1-1110000000000
χ20222222-1-12-122-122222222-1-1-22-1-1-12-1-12-111-2-21111-2-2002222-1-1-1-1-1-1-1-1-211-2-21111-2021100-2-211-1-100-2-200-1-1-1-11111-2-2000020000011-1-120011-1-10000000000
χ21222222-1-12-122-1222-2-2-2-22-1-122-1-1-12-1-12-1-1-122-1-1-1-12200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-202110022-1-1-1-100-2-20011111111-2-20000200000-1-1-1-1-20011110000000000
χ22222222-1-12-122-1222-2-2-2-22-1-122-1-1-12-1-12-1-1-122-1-1-1-1-2-200-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-20-21100-2-2111100-2-20011111111220000-2000001111200-1-1-1-10000000000
χ23222222-1-12-122-1222-2-2-2-22-1-1-22-1-1-12-1-12-111-2-211112200-2-2-2-21111-1-1-1-1-211-2-2111120-2-1-10022-1-1110022001111-1-1-1-1-2-20000-200000-1-11120011-1-10000000000
χ24222222-1-12-122-1222-2-2-2-22-1-1-22-1-1-12-1-12-111-2-21111-2-200-2-2-2-21111-1-1-1-1-211-2-21111202-1-100-2-211-1-10022001111-1-1-1-122000020000011-1-1-200-1-1110000000000
χ2522222-12222-1-12-1220000-12-12-1-12-1-122-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-102200-1-1-1-1222222002200000000000022-1-1-1-1-1-1-1-1-1-10200000-1-1000000-10
χ2622222-12222-1-12-1220000-12-12-1-12-1-122-1-12222222222-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-220011-1-12222-2-200-2-2000000000000-2-2-111111-1-1-1-10-2000001100000010
χ2722222-12222-1-12-1220000-12-12-1-12-1-122-1-122222222-2-22200000000-1-1-1-1-1-1-1-1-1-1-1-1-102-200-1-111-2-2-2-2220022000000000000-2-21-1-1-1-1-111110-2000001100000010
χ2822222-12222-1-12-1220000-12-12-1-12-1-122-1-122222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-10-2-2001111-2-2-2-2-2-200-2-20000000000002211111111110200000-1-1000000-10
χ2922222-12222-1-12-1220000-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2222200000000-1-1-1-11111111110-2-200-1-1-1-122-2-22200-2-2000000000000221111-1-1-1-1110-200000-1-100000010
χ3022222-12222-1-12-1220000-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-222-2-200000000-1-1-1-111111111102-20011-1-122-2-2-2-20022000000000000-2-21-1-1-111-1-111020000011000000-10
χ3122222-12222-1-12-1220000-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-22200000000-1-1-1-11111111110-2200-1-111-2-2222200-2-2000000000000-2-2-1111-1-111-1-1020000011000000-10
χ3222222-12222-1-12-1220000-12-1-2-1-12-1-122-1-1-2-2-2-2-2-2-2-2-2-2-2-200000000-1-1-1-1111111111022001111-2-222-2-2002200000000000022-1-1-1-11111-1-10-200000-1-100000010
χ332222-1222-122222-1-12222-1-122-12-12-1-1-1-1222-1-1-1-1-1-10022-1-1-1-12222-1-1-1-1222-1-1-1-1-1-12202222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-100220002-1-1-1-10000002000000-1-1-1-10000
χ342222-1222-122222-1-12222-1-122-12-12-1-1-1-1222-1-1-1-1-1-100-2-2-1-1-1-12222-1-1-1-1222-1-1-1-1-1-12-2022-2-200000011-1-111-1-1-1-1-1-1-1-100-2-2000-21111000000-200000011110000
χ352222-1222-122222-1-12222-1-12-2-12-12-1-1-1-12-2-21111110022-1-1-1-12222-1-1-1-1-2-2-2111111-2-20-2-222000000-1-11111-1-1-1-111110022000-211-1-1000000-200000011-1-10000
χ362222-1222-122222-1-12222-1-12-2-12-12-1-1-1-12-2-211111100-2-2-1-1-1-12222-1-1-1-1-2-2-2111111-220-2-2-2-20000001111-1-1-1-1-1-1111100-2-20002-1-1110000002000000-1-1110000
χ372222-1222-122222-1-1-2-2-2-2-1-122-12-12-1-1-1-1222-1-1-1-1-1-100221111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-220-2-222000000-1-111-1-11111111100-2-20002-1-1-1-1000000-200000011110000
χ382222-1222-122222-1-1-2-2-2-2-1-122-12-12-1-1-1-1222-1-1-1-1-1-100-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-1-2-20-2-2-2-2000000111111111111110022000-211110000002000000-1-1-1-10000
χ392222-1222-122222-1-1-2-2-2-2-1-12-2-12-12-1-1-1-12-2-211111100221111-2-2-2-2-1-1-1-1-2-2-21111112-202222000000-1-1-1-1111111-1-1-1-100-2-2000-211-1-10000002000000-1-1110000
χ402222-1222-122222-1-1-2-2-2-2-1-12-2-12-12-1-1-1-12-2-211111100-2-21111-2-2-2-2-1-1-1-1-2-2-211111122022-2-200000011-1-1-1-11111-1-1-1-100220002-1-111000000-200000011-1-10000
χ4122-2-2222-2-22-2-2-22-222i2i−2i−2i2220-22-2-222-2-2-200000000002i−2i2i2i−2i−2i2i2i−2i−2i22-2-2000000000000002i−2i0000002i−2i00002i2i−2i−2i0000002-20000002i−2i0000000000000002-20000
χ4222-2-2222-2-22-2-2-22-222i2i−2i−2i2220-22-2-222-2-2-20000000000−2i2i2i2i−2i−2i2i2i−2i−2i22-2-200000000000000−2i2i000000−2i2i00002i2i−2i−2i000000-22000000−2i2i000000000000000-220000
χ4322-2-2222-2-22-2-2-22-22−2i−2i2i2i2220-22-2-222-2-2-200000000002i−2i−2i−2i2i2i−2i−2i2i2i22-2-2000000000000002i−2i0000002i−2i0000−2i−2i2i2i000000-220000002i−2i000000000000000-220000
χ4422-2-2222-2-22-2-2-22-22−2i−2i2i2i2220-22-2-222-2-2-20000000000−2i2i−2i−2i2i2i−2i−2i2i2i22-2-200000000000000−2i2i000000−2i2i0000−2i−2i2i2i0000002-2000000−2i2i0000000000000002-20000
χ4522-2-2-122-212-2-2-221-12i2i−2i−2i-1-120121-2-1-111-2003−333−3−3002i−2i−i−iii2i2i−2i−2i-1-1110003−333−3−3000002i−2i000000−ii−i3i3−i3i3−i−iii−i3−i3i3i3002-20000−i3i3−ii00000000000003−3-110000
χ4622-2-2-122-212-2-2-221-12i2i−2i−2i-1-120121-2-1-111-2003−333−3−300−2i2i−i−iii2i2i−2i−2i-1-1110003−333−3−300000−2i2i000000i−i−i3i3i3−i3−i−iii−i3−i3i3i300-220000i3−i3i−i0000000000000−331-10000
χ4722-2-2-122-212-2-2-221-12i2i−2i−2i-1-120121-2-1-111-200−33−3−333002i−2i−i−iii2i2i−2i−2i-1-111000−33−3−333000002i−2i000000−iii3−i3i3−i3−i−iiii3i3−i3−i3002-20000i3−i3−ii0000000000000−33-110000
χ4822-2-2-122-212-2-2-221-12i2i−2i−2i-1-120121-2-1-111-200−33−3−33300−2i2i−i−iii2i2i−2i−2i-1-111000−33−3−33300000−2i2i000000i−ii3−i3−i3i3−i−iiii3i3−i3−i300-220000−i3i3i−i00000000000003−31-10000
χ4922-2-2-122-212-2-2-221-1−2i−2i2i2i-1-120121-2-1-111-2003−333−3−3002i−2iii−i−i−2i−2i2i2i-1-1110003−333−3−3000002i−2i000000−iii3−i3−i3i3ii−i−ii3i3−i3−i300-220000−i3i3−ii0000000000000−331-10000
χ5022-2-2-122-212-2-2-221-1−2i−2i2i2i-1-120121-2-1-111-2003−333−3−300−2i2iii−i−i−2i−2i2i2i-1-1110003−333−3−300000−2i2i000000i−ii3−i3i3−i3ii−i−ii3i3−i3−i3002-20000i3−i3i−i00000000000003−3-110000
χ5122-2-2-122-212-2-2-221-1−2i−2i2i2i-1-120121-2-1-111-200−33−3−333002i−2iii−i−i−2i−2i2i2i-1-111000−33−3−333000002i−2i000000−ii−i3i3i3−i3ii−i−i−i3−i3i3i300-220000i3−i3−ii00000000000003−31-10000
χ5222-2-2-122-212-2-2-221-1−2i−2i2i2i-1-120121-2-1-111-200−33−3−33300−2i2iii−i−i−2i−2i2i2i-1-111000−33−3−33300000−2i2i000000i−i−i3i3−i3i3ii−i−i−i3−i3i3i3002-20000−i3i3i−i0000000000000−33-110000
χ532-22-2222-22-2-222-2-2-22-22-222202-2-2-2-2-22-220000000000002-22-22-22-22-22-200000000000000000000000000002-22-2000000002i−2i000000000000000002i−2i00002i−2i00
χ542-22-2222-22-2-222-2-2-22-22-222202-2-2-2-2-22-220000000000002-22-22-22-22-22-200000000000000000000000000002-22-200000000−2i2i00000000000000000−2i2i0000−2i2i00
χ552-22-2222-22-2-222-2-2-2-22-2222202-2-2-2-2-22-22000000000000-22-22-22-222-22-20000000000000000000000000000-22-22000000002i−2i000000000000000002i−2i0000−2i2i00
χ562-22-2222-22-2-222-2-2-2-22-2222202-2-2-2-2-22-22000000000000-22-22-22-222-22-20000000000000000000000000000-22-2200000000−2i2i00000000000000000−2i2i00002i−2i00
χ572-2-222222-2-22-2-2-22-22i−2i−2i2i2220-2-222-2-2-22-2000000002i−2i002i−2i−2i2i2i−2i−2i2i2-2-2200000000000000002i−2i2i−2i000000002i−2i−2i2i00002-200000000002i−2i000002-2000000000000
χ582-2-222222-2-22-2-2-22-22i−2i−2i2i2220-2-222-2-2-22-200000000−2i2i002i−2i−2i2i2i−2i−2i2i2-2-220000000000000000−2i2i−2i2i000000002i−2i−2i2i0000-220000000000−2i2i00000-22000000000000
χ592-2-222222-2-22-2-2-22-2−2i2i2i−2i2220-2-222-2-2-22-2000000002i−2i00−2i2i2i−2i−2i2i2i−2i2-2-2200000000000000002i−2i2i−2i00000000−2i2i2i−2i0000-2200000000002i−2i00000-22000000000000
χ602-2-222222-2-22-2-2-22-2−2i2i2i−2i2220-2-222-2-2-22-200000000−2i2i00−2i2i2i−2i−2i2i2i−2i2-2-220000000000000000−2i2i−2i2i00000000−2i2i2i−2i00002-20000000000−2i2i000002-2000000000000
χ612-2-2222-1-1-212-21-22-22i−2i−2i2i2-1-10-21-1-1-21121−i3i300−i3i3−i3i32i−2i002i−2i−2i2i−iii−i-111-10−i3i300−i3i3−i3i30003−3002i−2i−ii3−3000000−iii−i3−33−32-20000000000−ii3−3000-11−i3i30000000000
χ622-2-2222-1-1-212-21-22-22i−2i−2i2i2-1-10-21-1-1-21121−i3i300−i3i3−i3i3−2i2i002i−2i−2i2i−iii−i-111-10−i3i300−i3i3−i3i30003−300−2i2ii−i−33000000−iii−i3−33−3-220000000000i−i−330001-1i3−i30000000000
χ632-2-2222-1-1-212-21-22-22i−2i−2i2i2-1-10-21-1-1-21121i3−i300i3−i3i3−i32i−2i002i−2i−2i2i−iii−i-111-10i3−i300i3−i3i3−i3000−33002i−2i−ii−33000000−iii−i−33−332-20000000000−ii−33000-11i3−i30000000000
χ642-2-2222-1-1-212-21-22-22i−2i−2i2i2-1-10-21-1-1-21121i3−i300i3−i3i3−i3−2i2i002i−2i−2i2i−iii−i-111-10i3−i300i3−i3i3−i3000−3300−2i2ii−i3−3000000−iii−i−33−33-220000000000i−i3−30001-1−i3i30000000000
χ652-2-2222-1-1-212-21-22-2−2i2i2i−2i2-1-10-21-1-1-21121−i3i300−i3i3−i3i32i−2i00−2i2i2i−2ii−i−ii-111-10−i3i300−i3i3−i3i3000−33002i−2i−ii3−3000000i−i−ii−33−33-220000000000−ii3−30001-1i3−i30000000000
χ662-2-2222-1-1-212-21-22-2−2i2i2i−2i2-1-10-21-1-1-21121−i3i300−i3i3−i3i3−2i2i00−2i2i2i−2ii−i−ii-111-10−i3i300−i3i3−i3i3000−3300−2i2ii−i−33000000i−i−ii−33−332-20000000000i−i−33000-11−i3i30000000000
χ672-2-2222-1-1-212-21-22-2−2i2i2i−2i2-1-10-21-1-1-21121i3−i300i3−i3i3−i32i−2i00−2i2i2i−2ii−i−ii-111-10i3−i300i3−i3i3−i30003−3002i−2i−ii−33000000i−i−ii3−33−3-220000000000−ii−330001-1−i3i30000000000
χ682-2-2222-1-1-212-21-22-2−2i2i2i−2i2-1-10-21-1-1-21121i3−i300i3−i3i3−i3−2i2i00−2i2i2i−2ii−i−ii-111-10i3−i300i3−i3i3−i30003−300−2i2ii−i3−3000000i−i−ii3−33−32-20000000000i−i3−3000-11i3−i30000000000
χ6944444-2-2-24-2-2-2-2-2440000-2-214-21-21-2-2-2-21-2-244-2-2-2-24400000000001111-211-2-211110040000-2-2-2-2-2-200000000000000000000-200000111100000000000000000
χ7044444-2-2-24-2-2-2-2-2440000-2-214-21-21-2-2-2-21-2-244-2-2-2-2-4-400000000001111-211-2-2111100-4000022222200000000000000000000200000-1-1-1-100000000000000000
χ7144444-2-2-24-2-2-2-2-2440000-2-21-4-21-21-2-2-2-2122-4-4222244000000000011112-1-122-1-1-1-100-40000-2-2-2-2220000000000000000000020000011-1-100000000000000000
χ7244444-2-2-24-2-2-2-2-2440000-2-21-4-21-21-2-2-2-2122-4-42222-4-4000000000011112-1-122-1-1-1-100400002222-2-200000000000000000000-200000-1-11100000000000000000
χ734444-24-2-2-2-244-24-2-24444-21-24-2-21-2-211-2-2-2-2-2-211110000-2-2-2-2-2-2-2-211114-2-2-2-21111400-2-20000000000-2-20011111111000000000000000000000000000000000
χ744444-24-2-2-2-244-24-2-24444-21-2-4-2-21-2-211-2-22222-1-1-1-10000-2-2-2-2-2-2-2-21111-42222-1-1-1-1-40022000000000022001111-1-1-1-1000000000000000000000000000000000
χ754444-24-2-2-2-244-24-2-2-4-4-4-4-21-24-2-21-2-211-2-2-2-2-2-2111100002222222211114-2-2-2-21111-4002200000000002200-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ764444-24-2-2-2-244-24-2-2-4-4-4-4-21-2-4-2-21-2-211-2-22222-1-1-1-10000222222221111-42222-1-1-1-1400-2-20000000000-2-200-1-1-1-11111000000000000000000000000000000000
χ774444-2-244-24-2-24-2-2-200001-2-241-2-2-21-2-21-244-2-2-2-2-2-20044000000001111-2-2-211111104000-2-2000000-2-200-2-2000000000000000-21111000000000000000000000
χ784444-2-244-24-2-24-2-2-200001-2-241-2-2-21-2-21-244-2-2-2-2-2-200-4-4000000001111-2-2-21111110-4000220000002200220000000000000002-1-1-1-1000000000000000000000
χ794444-2-244-24-2-24-2-2-200001-2-2-41-2-2-21-2-21-2-4-42222220044000000001111222-1-1-1-1-1-10-4000-2-2000000-2-200220000000000000002-1-111000000000000000000000
χ804444-2-244-24-2-24-2-2-200001-2-2-41-2-2-21-2-21-2-4-422222200-4-4000000001111222-1-1-1-1-1-104000220000002200-2-2000000000000000-211-1-1000000000000000000000
χ8144-4-444-22-4-2-4-424-444i4i−4i−4i4-2-20-4-2224-22-420000000000004i4i−4i−4i−2i−2i2i2i-2-2220000000000000000000000000000−2i−2i2i2i0000000000000000000000000000000000000
χ8244-4-444-22-4-2-4-424-44−4i−4i4i4i4-2-20-4-2224-22-42000000000000−4i−4i4i4i2i2i−2i−2i-2-22200000000000000000000000000002i2i−2i−2i0000000000000000000000000000000000000
χ8344-4-44-24-4-4422-4-2-440000-24-202-2-42-24-42200000000004i−4i00000000-2-22200000000000000−2i2i0000004i−4i0000000000000000000000−2i2i000000000000000000000
χ8444-4-44-24-4-4422-4-2-440000-24-202-2-42-24-4220000000000−4i4i00000000-2-222000000000000002i−2i000000−4i4i00000000000000000000002i−2i000000000000000000000
χ8544-4-4-24-222-2-4-4242-24i4i−4i−4i-21-202-2-12-21-1220023−23−3−3330000−2i−2i2i2i−2i−2i2i2i11-1-100023−23−3−333000000000000000−2i32i300ii−i−ii3i3−i3−i3000000000000000000000000000000000
χ8644-4-4-24-222-2-4-4242-24i4i−4i−4i-21-202-2-12-21-12200−232333−3−30000−2i−2i2i2i−2i−2i2i2i11-1-1000−232333−3−30000000000000002i3−2i300ii−i−i−i3−i3i3i3000000000000000000000000000000000
χ8744-4-4-24-222-2-4-4242-2−4i−4i4i4i-21-202-2-12-21-1220023−23−3−33300002i2i−2i−2i2i2i−2i−2i11-1-100023−23−3−3330000000000000002i3−2i300−i−iii−i3−i3i3i3000000000000000000000000000000000
χ8844-4-4-24-222-2-4-4242-2−4i−4i4i4i-21-202-2-12-21-12200−232333−3−300002i2i−2i−2i2i2i−2i−2i11-1-1000−232333−3−3000000000000000−2i32i300−i−iiii3i3−i3−i3000000000000000000000000000000000
χ8944-4-4-2-24-42422-4-22-200001-2-20-1-2221-22-120023−232323−23−23004i−4i0000000011-1-1000−33−3−33300000−2i2i000000−2i2i00−2i32i30000000000000000i3−i3i−i000000000000000000000
χ9044-4-4-2-24-42422-4-22-200001-2-20-1-2221-22-120023−232323−23−2300−4i4i0000000011-1-1000−33−3−333000002i−2i0000002i−2i002i3−2i30000000000000000−i3i3−ii000000000000000000000
χ9144-4-4-2-24-42422-4-22-200001-2-20-1-2221-22-1200−2323−23−232323004i−4i0000000011-1-10003−333−3−300000−2i2i000000−2i2i002i3−2i30000000000000000−i3i3i−i000000000000000000000
χ9244-4-4-2-24-42422-4-22-200001-2-20-1-2221-22-1200−2323−23−23232300−4i4i0000000011-1-10003−333−3−3000002i−2i0000002i−2i00−2i32i30000000000000000i3−i3−ii000000000000000000000
χ934-44-444-2242-44-2-4-4-44-44-44-2-204222-42-2-4-20000000000004-44-4-22-22-22-220000000000000000000000000000-22-220000000000000000000000000000000000000
χ944-44-444-2242-44-2-4-4-4-44-444-2-204222-42-2-4-2000000000000-44-442-22-2-22-2200000000000000000000000000002-22-20000000000000000000000000000000000000
χ954-44-44-24-44-42-242-4-40000-24-20-22-422-442-200000000000000000000-22-2200000000000000000000000000000000000000004i−4i00000000000000000−2i2i00000000
χ964-44-44-24-44-42-242-4-40000-24-20-22-422-442-200000000000000000000-22-220000000000000000000000000000000000000000−4i4i000000000000000002i−2i00000000
χ974-44-4-244-4-2-4-444-4224-44-4-2-240-2-42-422-224000000000000-22-224-44-4-22-220000000000000000000000000000-22-220000000000000000000000000000000000000
χ984-44-4-244-4-2-4-444-422-44-44-2-240-2-42-422-2240000000000002-22-2-44-44-22-2200000000000000000000000000002-22-20000000000000000000000000000000000000
χ994-44-4-24-22-22-44-2-4224-44-4-21-20-22-122-112-200003i−3i−3i3i0000-22-22-22-221-11-1000003i−3i−3i3i00000000000000000001-11-1−3i3i3i−3i000000000000000000000000000000000
χ1004-44-4-24-22-22-44-2-4224-44-4-21-20-22-122-112-20000−3i3i3i−3i0000-22-22-22-221-11-100000−3i3i3i−3i00000000000000000001-11-13i−3i−3i3i000000000000000000000000000000000
χ1014-44-4-24-22-22-44-2-422-44-44-21-20-22-122-112-200003i−3i−3i3i00002-22-22-22-21-11-1000003i−3i−3i3i0000000000000000000-11-113i−3i−3i3i000000000000000000000000000000000
χ1024-44-4-24-22-22-44-2-422-44-44-21-20-22-122-112-20000−3i3i3i−3i00002-22-22-22-21-11-100000−3i3i3i−3i0000000000000000000-11-11−3i3i3i−3i000000000000000000000000000000000
χ1034-4-444-244-4-4-22-424-40000-24-20224-22-4-4-22000000004i−4i0000000000-222-20000000000000000−2i2i4i−4i0000000000000000000000000000−2i2i0000000000000000000
χ1044-4-444-244-4-4-22-424-40000-24-20224-22-4-4-2200000000−4i4i0000000000-222-200000000000000002i−2i−4i4i00000000000000000000000000002i−2i0000000000000000000
χ1054-4-444-2-2-2-42-22224-40000-2-2102-1-21222-2-1−2i32i300−2i32i3−2i32i34i−4i00000000001-1-110i3−i300i3−i3i3−i30000000−2i2i−2i2i23−2300000000000000000000000000i−i−3300000000000000000
χ1064-4-444-2-2-2-42-22224-40000-2-2102-1-21222-2-1−2i32i300−2i32i3−2i32i3−4i4i00000000001-1-110i3−i300i3−i3i3−i300000002i−2i2i−2i−232300000000000000000000000000−ii3−300000000000000000
χ1074-4-444-2-2-2-42-22224-40000-2-2102-1-21222-2-12i3−2i3002i3−2i32i3−2i34i−4i00000000001-1-110−i3i300−i3i3−i3i30000000−2i2i−2i2i−232300000000000000000000000000i−i3−300000000000000000
χ1084-4-444-2-2-2-42-22224-40000-2-2102-1-21222-2-12i3−2i3002i3−2i32i3−2i3−4i4i00000000001-1-110−i3i300−i3i3−i3i300000002i−2i2i−2i23−2300000000000000000000000000−ii−3300000000000000000
χ1094-4-44-24442-44-4-4-4-224i−4i−4i4i-2-2402-4-24222-2-4000000000000−2i2i2i−2i4i−4i−4i4i-222-20000000000000000000000000000−2i2i2i−2i0000000000000000000000000000000000000
χ1104-4-44-24442-44-4-4-4-22−4i4i4i−4i-2-2402-4-24222-2-40000000000002i−2i−2i2i−4i4i4i−4i-222-200000000000000000000000000002i−2i−2i2i0000000000000000000000000000000000000
χ1114-4-44-24-2-2224-42-4-224i−4i−4i4i-21-20221-22-1-1-22−2i32i300i3−i3i3−i30000−2i2i2i−2i−2i2i2i−2i1-1-110−2i32i300i3−i3i3−i300023−2300000000000000i−i−ii−33−33000000000000000000000000000000000
χ1124-4-44-24-2-2224-42-4-224i−4i−4i4i-21-20221-22-1-1-222i3−2i300−i3i3−i3i30000−2i2i2i−2i−2i2i2i−2i1-1-1102i3−2i300−i3i3−i3i3000−232300000000000000i−i−ii3−33−3000000000000000000000000000000000
χ1134-4-44-24-2-2224-42-4-22−4i4i4i−4i-21-20221-22-1-1-22−2i32i300i3−i3i3−i300002i−2i−2i2i2i−2i−2i2i1-1-110−2i32i300i3−i3i3−i3000−232300000000000000−iii−i3−33−3000000000000000000000000000000000
χ1144-4-44-24-2-2224-42-4-22−4i4i4i−4i-21-20221-22-1-1-222i3−2i300−i3i3−i3i300002i−2i−2i2i2i−2i−2i2i1-1-1102i3−2i300−i3i3−i3i300023−2300000000000000−iii−i−33−33000000000000000000000000000000000
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
χ11788-8-88-4-44-8-4444-4-880000-4-420424-2-4-444-20000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-444-4444-44-400002220-22-2-222-2-2-20043−43−23−232323000000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-444-4444-44-400002220-22-2-222-2-2-200−43432323−23−23000000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1208-88-88-4-44844-4-44-8-80000-4-420-4-24-244-442000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-48-8-4-84-4844400002-4-402444-24-4-2-4000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-44-444-4-4444000022202-2-2-2-2-22-2200006i−6i−6i6i000000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-44-444-4-4444000022202-2-2-2-2-22-220000−6i6i6i−6i000000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-4884-8-44-84-4400002-4-40-24-4-4-24424000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-4-444-4444-4400002220-2-222-2-2-22-2−4i34i3002i3−2i32i3−2i3000000000000-111-102i3−2i300−i3i3−i3i3000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-4-444-4444-4400002220-2-222-2-2-22-24i3−4i300−2i32i3−2i32i3000000000000-111-10−2i32i300i3−i3i3−i3000000000000000000000000000000000000000000000000000000000000

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