Finite Group Databasebeta

← Group #13168515

Character table — Group #13168515

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222222222333344444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212181818182424242424242424242424243636363636363636363636363636363654545454
order122233344666666666444433366666666612121212121212121212441212121212121212366612121212121212122244666612121212121212121212121212121212444466666612121212121244441212121212121212121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ91111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11-111-1-11-111-1-11-11-111-1-111-1-111-1-111-1-1
χ101111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-111-1-1-11-1-1111-1-11-1-11111-1-1-1-111-1-111
χ111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-11-1-1111-111-1-1-111-1-1-111-1-11111-1-1-1-111
χ121111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-11-1-111-11-1-111-11-1111-1-1-1-111-1-11111-1-1
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-11111-1-111-1-1-1-1111111-1-11-111-1-11-111-1-1-11-1111-1-1-1-111-1-111-1-111
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-11111-1-1-1-11111-1-1111-111-1-1-11-1-111-111-1-1-111-1-11111-1-111-1-1
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-111-1-1-1-11111-1-111-11-1-1111-111-1-11-1-11-1-11111-1-1-1-11111-1-1
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-11111-1-1-1-1111111-1-1-11-1-111-11-1-1111-11-111-1-111-1-111-1-1-1-111
χ17222222-1222222-1-1-12200002-1-1-1-1-1-12-122-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-12222222200222200000000002222-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-1000000000000
χ18222222-1222222-1-1-12200002-1-1-1-1-1-12-122-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-122-2-2222200-2-2-2-20000000000-2-2-2-2-1-1-1-1-1-111111100001111000000000000
χ19222222-1222222-1-1-12200002-1-1-1-1-1-12-122-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-20022220000000000-2-2-2-2111111-1-1-1-1-1-100001111000000000000
χ20222222-1222222-1-1-12200002-1-1-1-1-1-12-122-12222-1-122220000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200-2-2-2-2000000000022221111111111110000-1-1-1-1000000000000
χ21222222-1-2-22222-1-1-12200002-1-1-1-1-1-12-122-1-2-2-2-211-2-2-2-20000000000-1-1-1-1111111112-22-222-2-20022-2-2000000000022-2-2-11-1-111-11-1-1110000-1-111000000000000
χ22222222-1-2-22222-1-1-12200002-1-1-1-1-1-12-122-1-2-2-2-211-2-2-2-20000000000-1-1-1-1111111112-2-2222-2-200-2-2220000000000-2-222-11-1-1111-111-1-1000011-1-1000000000000
χ23222222-1-2-22222-1-1-12200002-1-1-1-1-1-12-122-1-2-2-2-211-2-2-2-20000000000-1-1-1-111111111-222-2-2-2220022-2-20000000000-2-2221-111-1-1-11-1-111000011-1-1000000000000
χ24222222-1-2-22222-1-1-12200002-1-1-1-1-1-12-122-1-2-2-2-211-2-2-2-20000000000-1-1-1-111111111-22-22-2-22200-2-222000000000022-2-21-111-1-11-111-1-10000-1-111000000000000
χ2522222-1222-12-122222-12222-12-122-1-1-1-1-1-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-12200-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000022-1-1-1-100000022000000-1-1-1-100000000
χ2622222-1222-12-122222-12222-12-122-1-1-1-1-1-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2001111-1-1000022-1-1-1-1-1-1-1-10000-2-21111000000-2-2000000111100000000
χ2722222-1222-12-122222-1-2-2-2-2-12-122-1-1-1-1-1-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-12200-1-1-1-1110000-2-211111111000022-1-1-1-1000000-2-2000000111100000000
χ2822222-1222-12-122222-1-2-2-2-2-12-122-1-1-1-1-1-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-1-2-2001111110000-2-2111111110000-2-2111100000022000000-1-1-1-100000000
χ2922222-12-2-2-12-122222-12222-12-122-1-1-1-1-1-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111-2-211112-200-1-111110000-2-2-1-1-1-1111100002-2-1-1110000002-2000000-1-11100000000
χ3022222-12-2-2-12-122222-12222-12-122-1-1-1-1-1-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111-2-21111-220011-1-1110000-2-2-1-1-1-111110000-2211-1-1000000-2200000011-1-100000000
χ3122222-12-2-2-12-122222-1-2-2-2-2-12-122-1-1-1-1-1-1211-2-2-2-2111122-2-2-2-21111-1-1-1-111-2-211112-200-1-111-1-10000221111-1-1-1-100002-2-1-111000000-2200000011-1-100000000
χ3222222-12-2-2-12-122222-1-2-2-2-2-12-122-1-1-1-1-1-1211-2-2-2-2111122-2-2-2-21111-1-1-1-111-2-21111-220011-1-1-1-10000221111-1-1-1-10000-2211-1-10000002-2000000-1-11100000000
χ332222-122222-12-1222-122222-1-12-1-122-12-1-1-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-10022000022-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-1002200000000-1-1-1-10000
χ342222-122222-12-1222-122222-1-12-1-122-12-1-1-122-1-122-1-1-1-122-1-1-1-12222-1-1-1-122-1-1-1-1-1-100-2-20000221111-1-1-1-1-1-1-1-1-1-10000000000-2-2111100-2-20000000011110000
χ352222-122222-12-1222-12-2-2-2-2-1-12-1-122-12-1-1-122-1-122-1-1-1-1-2-21111-2-2-2-2-1-1-1-122-1-1-1-1-1-100220000-2-2-1-1-1-11111111111000000000022-1-1-1-100-2-20000000011110000
χ362222-122222-12-1222-12-2-2-2-2-1-12-1-122-12-1-1-122-1-122-1-1-1-1-2-21111-2-2-2-2-1-1-1-122-1-1-1-1-1-100-2-20000-2-2111111111111110000000000-2-21111002200000000-1-1-1-10000
χ372222-122-2-22-12-1222-122222-1-12-1-122-12-1-1-1-2-211-2-21111-2-2-1-1-1-12222-1-1-1-1-2-2111111002-20000-2-2-1-11111-1-1-1-1111100000000002-2-1-111002-200000000-1-1110000
χ382222-122-2-22-12-1222-122222-1-12-1-122-12-1-1-1-2-211-2-21111-2-2-1-1-1-12222-1-1-1-1-2-211111100-220000-2-211-1-111-1-1-1-111110000000000-2211-1-100-220000000011-1-10000
χ392222-122-2-22-12-1222-12-2-2-2-2-1-12-1-122-12-1-1-1-2-211-2-21111221111-2-2-2-2-1-1-1-1-2-2111111002-2000022-1-111-1-11111-1-1-1-100000000002-2-1-11100-220000000011-1-10000
χ402222-122-2-22-12-1222-12-2-2-2-2-1-12-1-122-12-1-1-1-2-211-2-21111221111-2-2-2-2-1-1-1-1-2-211111100-2200002211-1-1-1-11111-1-1-1-10000000000-2211-1-1002-200000000-1-1110000
χ4122-2-222200-22-2-2-22-2-2222-2-22222-22-2-2-22-2-200000000000022-2-222-2-222-2-200000000000000000000000022-2-20000002i−2i0000000000000000002i−2i00000000002i−2i
χ4222-2-222200-22-2-2-22-2-2222-2-22222-22-2-2-22-2-200000000000022-2-222-2-222-2-200000000000000000000000022-2-2000000−2i2i000000000000000000−2i2i0000000000−2i2i
χ4322-2-222200-22-2-2-22-2-22-2-2222222-22-2-2-22-2-2000000000000-2-222-2-22222-2-2000000000000000000000000-2-2220000002i−2i0000000000000000002i−2i0000000000−2i2i
χ4422-2-222200-22-2-2-22-2-22-2-2222222-22-2-2-22-2-2000000000000-2-222-2-22222-2-2000000000000000000000000-2-222000000−2i2i000000000000000000−2i2i00000000002i−2i
χ452-22-222200-2-22-2-2-222-22i−2i2i−2i222-22-22-2-2-22-20000000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000002i−2i2i−2i00002i−2i0000000000000000002i−2i00000000002-200
χ462-22-222200-2-22-2-2-222-22i−2i2i−2i222-22-22-2-2-22-20000000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000002i−2i2i−2i0000−2i2i000000000000000000−2i2i0000000000-2200
χ472-22-222200-2-22-2-2-222-2−2i2i−2i2i222-22-22-2-2-22-2000000000000−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000000−2i2i−2i2i00002i−2i0000000000000000002i−2i0000000000-2200
χ482-22-222200-2-22-2-2-222-2−2i2i−2i2i222-22-22-2-2-22-2000000000000−2i2i−2i2i−2i2i−2i2i2-22-2000000000000000000000000−2i2i−2i2i0000−2i2i000000000000000000−2i2i00000000002-200
χ492-2-222222-22-2-222-2-2-2-22i−2i−2i2i222-2-2-2-222-2-222-22-22-222-2-22i−2i2i−2i−2i2i2i−2i−2i2i2-2-222-22-222-2-2000000002i−2i00002i−2i2i−2i−2i2i2i2i−2i−2i000000000000000000000000000000000000
χ502-2-222222-22-2-222-2-2-2-2−2i2i2i−2i222-2-2-2-222-2-222-22-22-222-2-2−2i2i−2i2i2i−2i−2i2i2i−2i2-2-222-22-222-2-200000000−2i2i0000−2i2i−2i2i2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ512-2-22222-222-2-222-2-2-2-22i−2i−2i2i222-2-2-2-222-2-22-22-22-22-2-222−2i2i2i−2i−2i2i2i−2i−2i2i2-2-22-22-22-2-22200000000−2i2i0000−2i2i2i−2i−2i2i−2i−2i2i2i000000000000000000000000000000000000
χ522-2-22222-222-2-222-2-2-2-2−2i2i2i−2i222-2-2-2-222-2-22-22-22-22-2-2222i−2i−2i2i2i−2i−2i2i2i−2i2-2-22-22-22-2-222000000002i−2i00002i−2i−2i2i2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ532-2-222-122-2-1-2122-2-2-212i−2i−2i2i-12-1-2-211-1-1112-112-22-2-1-1112i−2i2i−2i−2i2i−iii−i-111-1-112-2-1-1110000−i3i3−i3i3−ii00002i−2i−iii−i−i−iii000000−i3i3−i3i3000000000000003−33−300000000
χ542-2-222-122-2-1-2122-2-2-212i−2i−2i2i-12-1-2-211-1-1112-112-22-2-1-1112i−2i2i−2i−2i2i−iii−i-111-1-112-2-1-1110000i3−i3i3−i3−ii00002i−2i−iii−i−i−iii000000i3−i3i3−i300000000000000−33−3300000000
χ552-2-222-122-2-1-2122-2-2-21−2i2i2i−2i-12-1-2-211-1-1112-112-22-2-1-111−2i2i−2i2i2i−2ii−i−ii-111-1-112-2-1-1110000−i3i3−i3i3i−i0000−2i2ii−i−iiii−i−i000000−i3i3−i3i300000000000000−33−3300000000
χ562-2-222-122-2-1-2122-2-2-21−2i2i2i−2i-12-1-2-211-1-1112-112-22-2-1-111−2i2i−2i2i2i−2ii−i−ii-111-1-112-2-1-1110000i3−i3i3−i3i−i0000−2i2ii−i−iiii−i−i000000i3−i3i3−i3000000000000003−33−300000000
χ572-2-222-12-22-1-2122-2-2-212i−2i−2i2i-12-1-2-211-1-11121-1-22-2211-1-1−2i2i2i−2i−2i2i−iii−i-111-11-1-2211-1-10000−i3i3i3−i3i−i0000−2i2i−iii−iii−i−i000000−i3i3i3−i3000000000000003−3−3300000000
χ582-2-222-12-22-1-2122-2-2-212i−2i−2i2i-12-1-2-211-1-11121-1-22-2211-1-1−2i2i2i−2i−2i2i−iii−i-111-11-1-2211-1-10000i3−i3−i3i3i−i0000−2i2i−iii−iii−i−i000000i3−i3−i3i300000000000000−333−300000000
χ592-2-222-12-22-1-2122-2-2-21−2i2i2i−2i-12-1-2-211-1-11121-1-22-2211-1-12i−2i−2i2i2i−2ii−i−ii-111-11-1-2211-1-10000−i3i3i3−i3−ii00002i−2ii−i−ii−i−iii000000−i3i3i3−i300000000000000−333−300000000
χ602-2-222-12-22-1-2122-2-2-21−2i2i2i−2i-12-1-2-211-1-11121-1-22-2211-1-12i−2i−2i2i2i−2ii−i−ii-111-11-1-2211-1-10000i3−i3−i3i3−ii00002i−2ii−i−ii−i−iii000000i3−i3−i3i3000000000000003−3−3300000000
χ612-2-22-1222-221-2-12-2-21-22i−2i−2i2i-1-1211-2-2-1211-12-2-112-2-1-1112i−2i−iii−i2i−2i−2i2i-111-12-2-11-1-111000000002i−2i−i3i3−i3i3−ii−iii−i−i−iii000000000000−i3i3−i3i30000000000003−33−30000
χ622-2-22-1222-221-2-12-2-21-22i−2i−2i2i-1-1211-2-2-1211-12-2-112-2-1-1112i−2i−iii−i2i−2i−2i2i-111-12-2-11-1-111000000002i−2ii3−i3i3−i3−ii−iii−i−i−iii000000000000i3−i3i3−i3000000000000−33−330000
χ632-2-22-1222-221-2-12-2-21-2−2i2i2i−2i-1-1211-2-2-1211-12-2-112-2-1-111−2i2ii−i−ii−2i2i2i−2i-111-12-2-11-1-11100000000−2i2i−i3i3−i3i3i−ii−i−iiii−i−i000000000000−i3i3−i3i3000000000000−33−330000
χ642-2-22-1222-221-2-12-2-21-2−2i2i2i−2i-1-1211-2-2-1211-12-2-112-2-1-111−2i2ii−i−ii−2i2i2i−2i-111-12-2-11-1-11100000000−2i2ii3−i3i3−i3i−ii−i−iiii−i−i000000000000i3−i3i3−i30000000000003−33−30000
χ652-2-22-122-2221-2-12-2-21-22i−2i−2i2i-1-1211-2-2-1211-1-221-1-2211-1-1−2i2i−iii−i2i−2i−2i2i-111-1-221-111-1-100000000−2i2i−i3i3i3−i3i−i−iii−iii−i−i000000000000−i3i3i3−i30000000000003−3−330000
χ662-2-22-122-2221-2-12-2-21-22i−2i−2i2i-1-1211-2-2-1211-1-221-1-2211-1-1−2i2i−iii−i2i−2i−2i2i-111-1-221-111-1-100000000−2i2ii3−i3−i3i3i−i−iii−iii−i−i000000000000i3−i3−i3i3000000000000−333−30000
χ672-2-22-122-2221-2-12-2-21-2−2i2i2i−2i-1-1211-2-2-1211-1-221-1-2211-1-12i−2ii−i−ii−2i2i2i−2i-111-1-221-111-1-1000000002i−2i−i3i3i3−i3−iii−i−ii−i−iii000000000000−i3i3i3−i3000000000000−333−30000
χ682-2-22-122-2221-2-12-2-21-2−2i2i2i−2i-1-1211-2-2-1211-1-221-1-2211-1-12i−2ii−i−ii−2i2i2i−2i-111-1-221-111-1-1000000002i−2ii3−i3−i3i3−iii−i−ii−i−iii000000000000i3−i3−i3i30000000000003−3−330000
χ6944444-2-244-24-24-2-2-24-20000-2-21-2-211-21-2-2-2-2-244-2-2-2-2-2-20000000000111111-2-211114400-2-2-2-200000000000000000000-2-2111100000000000000000000000000
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χ7144444-2-2-4-4-24-24-2-2-24-20000-2-21-2-211-21-2-2-222-4-422222200000000001111-1-122-1-1-1-14-400-2-22200000000000000000000-2211-1-100000000000000000000000000
χ7244444-2-2-4-4-24-24-2-2-24-20000-2-21-2-211-21-2-2-222-4-422222200000000001111-1-122-1-1-1-1-440022-2-2000000000000000000002-2-1-11100000000000000000000000000
χ734444-24-2444-24-2-2-2-2-240000-21-211-2-2-2-2-2-2144-2-2-2-2-2-2-2-200000000001111-2-21111110044000000-2-2-2-200000000000000000000-2-2111100000000000000000000
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χ754444-24-2-4-44-24-2-2-2-2-240000-21-211-2-2-2-2-2-21-4-4222222220000000000111122-1-1-1-1-1-1004-4000000-2-22200000000000000000000-2211-1-100000000000000000000
χ764444-24-2-4-44-24-2-2-2-2-240000-21-211-2-2-2-2-2-21-4-4222222220000000000111122-1-1-1-1-1-100-4400000022-2-2000000000000000000002-2-1-11100000000000000000000
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χ784444-2-2444-2-2-2-2444-2-2-4-4-4-41-2-2-2-2-2-21-211-2-2-2-2-2441111-4-4222222221111-2-2-2-211110000000022000022-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ794444-2-24-4-4-2-2-2-2444-2-244441-2-2-2-2-2-21-211-22222-4-4-1-1-1-1-4-4-2-2-2-2-2-2-2-211112222-1-1-1-100000000220000221111-1-1-1-1000000000000000000000000000000000000
χ804444-2-24-4-4-2-2-2-2444-2-2-4-4-4-41-2-2-2-2-2-21-211-22222-4-4-1-1-1-1442222222211112222-1-1-1-100000000-2-20000-2-2-1-1-1-11111000000000000000000000000000000000000
χ8144-4-444-200-44-4-42-22-4400004-2-2-22-22-424-4200000000000000000000-2-22200000000000000000000000000000000004i−4i000000000000000000−2i2i000000000000
χ8244-4-444-200-44-4-42-22-4400004-2-2-22-22-424-4200000000000000000000-2-2220000000000000000000000000000000000−4i4i0000000000000000002i−2i000000000000
χ8344-4-44-2400242-4-44-4-4-244-4-4-24-24-4-2222-22-400000000000044-4-4-2-222-2-222000000000000000000000000-2-2220000000000000000000000000000000000000000
χ8444-4-44-2400242-4-44-4-4-2-4-444-24-24-4-2222-22-4000000000000-4-44422-2-2-2-22200000000000000000000000022-2-20000000000000000000000000000000000000000
χ8544-4-4-24400-4-2-42-44-42444-4-4-2-24-224-42-4-222000000000000-2-22244-4-4-2-222000000000000000000000000-2-2220000000000000000000000000000000000000000
χ8644-4-4-24400-4-2-42-44-424-4-444-2-24-224-42-4-22200000000000022-2-2-4-444-2-22200000000000000000000000022-2-20000000000000000000000000000000000000000
χ8744-4-4-2-24002-222-44-42-244-4-41-2-2-22-22-121-120000003i−3i3i−3i00-2-222-2-22211-1-100003i−3i3i−3i000000000000000011-1-13i−3i3i−3i000000000000000000000000000000000000
χ8844-4-4-2-24002-222-44-42-244-4-41-2-2-22-22-121-12000000−3i3i−3i3i00-2-222-2-22211-1-10000−3i3i−3i3i000000000000000011-1-1−3i3i−3i3i000000000000000000000000000000000000
χ8944-4-4-2-24002-222-44-42-2-4-4441-2-2-22-22-121-120000003i−3i3i−3i0022-2-222-2-211-1-100003i−3i3i−3i0000000000000000-1-111−3i3i−3i3i000000000000000000000000000000000000
χ9044-4-4-2-24002-222-44-42-2-4-4441-2-2-22-22-121-12000000−3i3i−3i3i0022-2-222-2-211-1-10000−3i3i−3i3i0000000000000000-1-1113i−3i3i−3i000000000000000000000000000000000000
χ914-44-444-200-4-44-422-24-400004-2-22-22-2-42-44200000000000000000000-22-22000000000000000000000000000000004i−4i000000000000000000−2i2i00000000000000
χ924-44-444-200-4-44-422-24-400004-2-22-22-2-42-44200000000000000000000-22-2200000000000000000000000000000000−4i4i0000000000000000002i−2i00000000000000
χ934-44-44-24002-4-2-4-4-44424i−4i4i−4i-24-2-442-2222-2-40000000000004i−4i4i−4i−2i2i−2i2i-22-22000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ944-44-44-24002-4-2-4-4-4442−4i4i−4i4i-24-2-442-2222-2-4000000000000−4i4i−4i4i2i−2i2i−2i-22-220000000000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ954-44-4-24400-4242-4-44-2-44i−4i4i−4i-2-242-2-442-42-22000000000000−2i2i−2i2i4i−4i4i−4i-22-22000000000000000000000000−2i2i−2i2i0000000000000000000000000000000000000000
χ964-44-4-24400-4242-4-44-2-4−4i4i−4i4i-2-242-2-442-42-220000000000002i−2i2i−2i−4i4i−4i4i-22-220000000000000000000000002i−2i2i−2i0000000000000000000000000000000000000000
χ974-44-4-2-240022-22-4-44-224i−4i4i−4i1-2-22-22-2-12-1120000003i−3i−3i3i00−2i2i−2i2i−2i2i−2i2i1-11-100003i−3i−3i3i0000000000000000i−ii−i-333-3000000000000000000000000000000000000
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χ994-44-4-2-240022-22-4-44-22−4i4i−4i4i1-2-22-22-2-12-1120000003i−3i−3i3i002i−2i2i−2i2i−2i2i−2i1-11-100003i−3i−3i3i0000000000000000−ii−ii3-3-33000000000000000000000000000000000000
χ1004-44-4-2-240022-22-4-44-22−4i4i−4i4i1-2-22-22-2-12-112000000−3i3i3i−3i002i−2i2i−2i2i−2i2i−2i1-11-10000−3i3i3i−3i0000000000000000−ii−ii-333-3000000000000000000000000000000000000
χ1014-4-4444-24-44-4-44-222-4-400004-2-222224-2-4-4-24-44-4-2244-4-40000000000-222-2-22-22-2-222000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-2-444-4-44-222-4-400004-2-222224-2-4-4-2-44-442-2-4-4440000000000-222-22-22-222-2-2000000000000000000000000000000000000000000000000000000000000
χ1034-4-444-2-24-4-2-424-222-420000-2-2122-1-1-2122-2-224-4-22-2-22200000000001-1-111-1-2211-1-10000−2i32i3−2i32i30000000000000000000000i3−i3i3−i300000000000000000000000000
χ1044-4-444-2-24-4-2-424-222-420000-2-2122-1-1-2122-2-224-4-22-2-22200000000001-1-111-1-2211-1-100002i3−2i32i3−2i30000000000000000000000−i3i3−i3i300000000000000000000000000
χ1054-4-444-2-2-44-2-424-222-420000-2-2122-1-1-2122-22-2-442-222-2-200000000001-1-11-112-2-1-1110000−2i32i32i3−2i30000000000000000000000i3−i3−i3i300000000000000000000000000
χ1064-4-444-2-2-44-2-424-222-420000-2-2122-1-1-2122-22-2-442-222-2-200000000001-1-11-112-2-1-11100002i3−2i3−2i32i30000000000000000000000−i3i3i3−i300000000000000000000000000
χ1074-4-44-24-24-442-4-2-2222-40000-21-2-1-122-2-22214-4-22-22-2-22200000000001-1-11-221-111-1-10000000000−2i32i3−2i32i30000000000000000000000i3−i3i3−i300000000000000000000
χ1084-4-44-24-24-442-4-2-2222-40000-21-2-1-122-2-22214-4-22-22-2-22200000000001-1-11-221-111-1-100000000002i3−2i32i3−2i30000000000000000000000−i3i3−i3i300000000000000000000
χ1094-4-44-24-2-4442-4-2-2222-40000-21-2-1-122-2-2221-442-22-222-2-200000000001-1-112-2-11-1-1110000000000−2i32i32i3−2i30000000000000000000000i3−i3−i3i300000000000000000000
χ1104-4-44-24-2-4442-4-2-2222-40000-21-2-1-122-2-2221-442-22-222-2-200000000001-1-112-2-11-1-11100000000002i3−2i3−2i32i30000000000000000000000−i3i3i3−i300000000000000000000
χ1114-4-44-2-244-4-222-24-4-4224i−4i−4i4i1-2-222221-2-1-1-2-22-224-411-1-14i−4i−2i2i2i−2i−2i2i2i−2i1-1-11-22-2211-1-100000000−2i2i0000−2i2ii−i−iiii−i−i000000000000000000000000000000000000
χ1124-4-44-2-244-4-222-24-4-422−4i4i4i−4i1-2-222221-2-1-1-2-22-224-411-1-1−4i4i2i−2i−2i2i2i−2i−2i2i1-1-11-22-2211-1-1000000002i−2i00002i−2i−iii−i−i−iii000000000000000000000000000000000000
χ1134-4-44-2-24-44-222-24-4-4224i−4i−4i4i1-2-222221-2-1-1-22-22-2-44-1-111−4i4i−2i2i2i−2i−2i2i2i−2i1-1-112-22-2-1-111000000002i−2i00002i−2ii−i−ii−i−iii000000000000000000000000000000000000
χ1144-4-44-2-24-44-222-24-4-422−4i4i4i−4i1-2-222221-2-1-1-22-22-2-44-1-1114i−4i2i−2i−2i2i2i−2i−2i2i1-1-112-22-2-1-11100000000−2i2i0000−2i2i−iii−iii−i−i000000000000000000000000000000000000
χ1158888-4-4-488-4-4-4-4-4-4-4-4-40000222222222222-4-4-4-4-4-422220000000000-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ1168888-4-4-4-8-8-4-4-4-4-4-4-4-4-40000222222222222444444-2-2-2-20000000000-1-1-1-1-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ11788-8-88-4-400484-84-44-8-40000-4-42-442-24-2-4440000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-400-8-4-844-44480000-42-42-2-4444-44-20000000000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4-4004-4444-444-400002222-22-2-2-22-2-20000006i−6i6i−6i0000000000-1-1110000−3i3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-4004-4444-444-400002222-22-2-2-22-2-2000000−6i6i−6i6i0000000000-1-11100003i−3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1218-88-88-4-4004-8-4-844-4840000-4-424-4-224-24-44000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-48-400-848444-4-4-80000-42-4-224-4444-4-2000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-40044-4444-4-440000222-22-22-2-2-22-20000006i−6i−6i6i0000000000-11-110000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000000
χ1248-88-8-4-4-40044-4444-4-440000222-22-22-2-2-22-2000000−6i6i6i−6i0000000000-11-1100003i−3i−3i3i000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-48-8-444-4-444440000222-2-2-2-222-2-22-44-44-4422-2-20000000000-111-12-22-2-1-111000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-4-88-444-4-444440000222-2-2-2-222-2-224-44-44-4-2-2220000000000-111-1-22-2211-1-1000000000000000000000000000000000000000000000000000000000000

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