Finite Group Databasebeta

← Group #13178716

Character table — Group #13178716

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order122233344666666666333334466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212122222444444666644444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111-1-11111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111-1-1-1-111-1-11111-1-111
χ811111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ91111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-111111-1-1-1-11-11111-1-1-1-1-1-111-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-111-11-11-1-1-1-11111-1-111-1-1-11-11
χ111111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-111-1-1111-1-111-1-111-1-1111-1-11
χ121111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1111-1-1-111-1-11111-1-111-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-11-1-1-1-111111-1-1-1-1-1-1-1-111-11-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111-11-111-1-1-1-1-11111-1-1-1-1111-11-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1111-11-111-1-111-1-11111-1-1-111-1
χ161111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-11-1-111-11-1-111-1-1111111-1-11-1-11
χ17222222-12222-122-1-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1002200000000002200200-1-10000-1-1000000-1-100
χ18222222-12222-122-1-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-20000000000-2-200-200110000110000001100
χ19222222-12222-122-1-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-2-2-2-211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100220000000000-2-200200-1-10000-1-10000001100
χ20222222-12222-122-1-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-1-1-12222-2-2-2-211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100-2-200000000002200-20011000011000000-1-100
χ21222222-1-2-222-122-1-1222-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-222-2-2-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111002200000000002-200-200-1-1000011000000-1100
χ22222222-1-2-222-122-1-1222-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-222-2-2-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100-2-20000000000-2200200110000-1-10000001-100
χ23222222-1-2-222-122-1-1222-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-2-2-2221-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-100220000000000-2200-200-1-10000110000001-100
χ24222222-1-2-222-122-1-1222-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-111-2-2-2-2-2-2221-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-100-2-200000000002-200200110000-1-1000000-1100
χ2522222-1222-1-1222222-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12200002222-1-1-1-1000200000000000-1-1-1-1-1-10000
χ2622222-1222-1-1222222-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-20000-2-2-2-21111000-2000000000001111110000
χ2722222-1222-1-1222222-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12222-1-11111-2-2-2-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111220000-2-2-2-2-1-1-1-1000200000000000-1-111110000
χ2822222-1222-1-1222222-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12222-1-11111-2-2-2-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111-2-2000022221111000-20000000000011-1-1-1-10000
χ2922222-12-2-2-1-1222222-1-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-211-1-1112-22-211-2-2111111-1-122-1-1-1-1-1-111-2-211111122000022-2-2-1-1-1-1000-20000000000011-1-1110000
χ3022222-12-2-2-1-1222222-1-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-211-1-1112-22-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111-2-20000-2-2221111000200000000000-1-111-1-10000
χ3122222-12-2-2-1-1222222-1-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-21111-1-1-22-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-1220000-2-222-1-1-1-1000-2000000000001111-1-10000
χ3222222-12-2-2-1-1222222-1-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-21111-1-1-22-2211-2-211111111-2-2111111-1-122-1-1-1-1-1-1-2-2000022-2-21111000200000000000-1-1-1-1110000
χ332222-12222222-1-122-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-122-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100002200000000002002200-1-1-1-10000000000-1-1
χ342222-12222222-1-122-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-122-1-122222222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-20000000000-200-2-2001111000000000011
χ352222-12222222-1-122-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-122-1-122-2-2-2-2-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-211110000220000000000200-2-200-1-1-1-1000000000011
χ362222-12222222-1-122-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-122-1-122-2-2-2-2-2-211-1-1-1-122-1-1-1-11111-2-211111111-2-211110000-2-20000000000-200220011110000000000-1-1
χ372222-122-2-2222-1-122-12-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-1-2-211-2-222-2-22-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-211110000220000000000-2002-200-1-1110000000000-11
χ382222-122-2-2222-1-122-12-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-1-2-211-2-222-2-22-2-111111-2-21111-1-1-1-122-1-1-1-11111-2-211110000-2-20000000000200-220011-1-100000000001-1
χ392222-122-2-2222-1-122-12-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-1-2-211-2-2-2-222-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-10000220000000000-200-2200-1-11100000000001-1
χ402222-122-2-2222-1-122-12-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-1-2-211-2-2-2-222-221-11111-2-211111111-2-21111-1-1-1-122-1-1-1-10000-2-200000000002002-20011-1-10000000000-11
χ4122-2-2222002-222-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-22-22-2000022-2-200000002-22-200000000000000
χ4222-2-2222002-222-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-2-22-22000022-2-20000000-22-2200000000000000
χ4322-2-2222002-222-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-222-2-220000-2-22200000002-2-2200000000000000
χ4422-2-2222002-222-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22-222-20000-2-2220000000-222-200000000000000
χ452-2-222222-2-2-2-2-2-22-2222222200-2-2-2-2-2-2-2-2-2-2222222-22-22-2000000002-22-22-222-2-2000000000000000000000000002-22-20000000000000000000002-22-20000
χ462-2-222222-2-2-2-2-2-22-2222222200-2-2-2-2-2-2-2-2-2-2222222-22-22-2000000002-22-22-222-2-200000000000000000000000000-22-22000000000000000000000-22-220000
χ472-2-22222-22-2-2-2-2-22-2222222200-2-2-2-2-2-2-2-2-2-222222-22-22-2200000000-22-22-22-2-222000000000000000000000000002-2-220000000000000000000002-2-220000
χ482-2-22222-22-2-2-2-2-22-2222222200-2-2-2-2-2-2-2-2-2-222222-22-22-2200000000-22-22-22-2-22200000000000000000000000000-222-2000000000000000000000-222-20000
χ492-2-222-122-211-2-2-22-22-1-12-1-1-10011-2-2111111-12-1-1-12-22-2-11−i3i3−i3i30000-112-2-11-1-111−i3i300−i3i3−i3−i3i3i3−i3i300−i3i3−i3−i3i3i30000002-22-2−i3i3−i3i3000000000000000−i3i3-11-110000
χ502-2-222-122-211-2-2-22-22-1-12-1-1-10011-2-2111111-12-1-1-12-22-2-11−i3i3−i3i30000-112-2-11-1-111−i3i300−i3i3−i3−i3i3i3−i3i300−i3i3−i3−i3i3i3000000-22-22i3−i3i3−i3000000000000000i3−i31-11-10000
χ512-2-222-122-211-2-2-22-22-1-12-1-1-10011-2-2111111-12-1-1-12-22-2-11i3−i3i3−i30000-112-2-11-1-111i3−i300i3−i3i3i3−i3−i3i3−i300i3−i3i3i3−i3−i30000002-22-2i3−i3i3−i3000000000000000i3−i3-11-110000
χ522-2-222-122-211-2-2-22-22-1-12-1-1-10011-2-2111111-12-1-1-12-22-2-11i3−i3i3−i30000-112-2-11-1-111i3−i300i3−i3i3i3−i3−i3i3−i300i3−i3i3i3−i3−i3000000-22-22−i3i3−i3i3000000000000000−i3i31-11-10000
χ532-2-222-12-2211-2-2-22-22-1-12-1-1-10011-2-2111111-12-1-1-1-22-221-1−i3i3i3−i300001-1-221-111-1-1−i3i300−i3i3−i3−i3i3i3i3−i300i3−i3i3i3−i3−i30000002-2-22−i3i3−i3i3000000000000000i3−i3-111-10000
χ542-2-222-12-2211-2-2-22-22-1-12-1-1-10011-2-2111111-12-1-1-1-22-221-1−i3i3i3−i300001-1-221-111-1-1−i3i300−i3i3−i3−i3i3i3i3−i300i3−i3i3i3−i3−i3000000-222-2i3−i3i3−i3000000000000000−i3i31-1-110000
χ552-2-222-12-2211-2-2-22-22-1-12-1-1-10011-2-2111111-12-1-1-1-22-221-1i3−i3−i3i300001-1-221-111-1-1i3−i300i3−i3i3i3−i3−i3−i3i300−i3i3−i3−i3i3i30000002-2-22i3−i3i3−i3000000000000000−i3i3-111-10000
χ562-2-222-12-2211-2-2-22-22-1-12-1-1-10011-2-2111111-12-1-1-1-22-221-1i3−i3−i3i300001-1-221-111-1-1i3−i300i3−i3i3i3−i3−i3−i3i300−i3i3−i3−i3i3i3000000-222-2−i3i3−i3i3000000000000000i3−i31-1-110000
χ5744444-2-244-2-2-244-2-24-2-2-211144-2-2-2-2111111-2-2111-2-244-2-2-2-2-2-2-2-244-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-244-2-2-244-2-24-2-2-2111-4-4-2-2-2-2111111-2-2111-2-244-2-2222222-4-4-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ5944444-2-2-4-4-2-2-244-2-24-2-2-21114-4-2-2-2-2111111-2-211122-4-422-2-222-224-42222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-4-2-2-244-2-24-2-2-2111-44-2-2-2-2111111-2-211122-4-42222-2-22-2-442222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ614444-24-24444-2-2-2-2-2-24-21-21144-2-211-2-21111-21-211-2-2-2-2444444-2-2-2-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-24444-2-2-2-2-2-24-21-211-4-4-2-211-2-21111-21-211-2-2-2-244-4-4-4-42222-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ634444-24-2-4-444-2-2-2-2-2-24-21-2114-4-2-211-2-21111-21-2112222-4-444-4-4-22-2222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-444-2-2-2-2-2-24-21-211-44-2-211-2-21111-21-2112222-4-4-4-4442-22-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ654444-2-2444-2-24-2-244-2-21-2-2114411-2-2-2-211111-2-21144-2-2-2-2-2-2-2-244-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-2444-2-24-2-244-2-21-2-211-4-411-2-2-2-211111-2-21144-2-2-2-22222-4-42211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ674444-2-24-4-4-2-24-2-244-2-21-2-2114-411-2-2-2-211111-2-211-4-42222-2-2224-4-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-4-2-24-2-244-2-21-2-211-4411-2-2-2-211111-2-211-4-4222222-2-2-442-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ704444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-222222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ714444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ724444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-222222222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ734444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222-2-222-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ744444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222222-2-22-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ754444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222-2-222-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ764444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222222-2-22-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ7744-4-444-2004-4-24-422-4-44-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000004-400000000000000000-220000000000000000
χ7844-4-444-2004-4-24-422-4-44-2-2-2-2004-4-22-22-2-222-422220000000000000000000000000000000000000000000000-44000000000000000002-20000000000000000
χ7944-4-44-2400-2244-4-4-4-42-24-2-2-200-224-4-22-2-2222-4222000000000000000000000000000000000000000000004-400000000-2-2220000000000000000000000000
χ8044-4-44-2400-2244-4-4-4-42-24-2-2-200-224-4-22-2-2222-422200000000000000000000000000000000000000000000-440000000022-2-20000000000000000000000000
χ8144-4-4-244004-44-22-4-42-4-2-24-2-200-22-224-4-2-22222-4220000000000000000000000000000000000000000000000004-400000000000000000-2200000000000000
χ8244-4-4-244004-44-22-4-42-4-2-24-2-200-22-224-4-2-22222-422000000000000000000000000000000000000000000000000-44000000000000000002-200000000000000
χ834-44-444400-44-4-44-44-4-44444400-44-44-44-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ844-44-444-200-442-442-2-4-44-2-2-2-200-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000000000000000023−230000000000
χ854-44-444-200-442-442-2-4-44-2-2-2-200-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000000000000000000000000−23230000000000
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χ874-44-44-24002-2-4-44-44-42-24-2-2-2002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ884-44-4-24400-44-42-2-442-4-2-24-2-2002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000000000000000000−2i32i3000000000000
χ894-44-4-24400-44-42-2-442-4-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000000000000000000002i3−2i3000000000000
χ904-4-4444-24-4-4-42-4-4-22444-2-2-2-200-4-4222222224-2-2-2-2-224-44-4000000004-4-22-22-2-22200000000000000000000000000000000000000000000000000000000000
χ914-4-4444-2-44-4-42-4-4-22444-2-2-2-200-4-4222222224-2-2-2-22-2-44-4400000000-442-22-222-2-200000000000000000000000000000000000000000000000000000000000
χ924-4-444-2-24-4222-4-4-224-2-2-2111002222-1-1-1-1-1-1-2-2111-224-4-22−2i32i3−2i32i30000-22-221-111-1-1−2i32i300i3−i3i3i3−i3−i3−2i32i300i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ934-4-444-2-24-4222-4-4-224-2-2-2111002222-1-1-1-1-1-1-2-2111-224-4-222i3−2i32i3−2i30000-22-221-111-1-12i3−2i300−i3i3−i3−i3i3i32i3−2i300−i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ944-4-444-2-2-44222-4-4-224-2-2-2111002222-1-1-1-1-1-1-2-21112-2-442-2−2i32i32i3−2i300002-22-2-11-1-111−2i32i300i3−i3i3i3−i3−i32i3−2i300−i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ954-4-444-2-2-44222-4-4-224-2-2-2111002222-1-1-1-1-1-1-2-21112-2-442-22i3−2i3−2i32i300002-22-2-11-1-1112i3−2i300−i3i3−i3−i3i3i3−2i32i300i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ964-4-44-2444-4-4-4-4224-4-24-2-24-2-2002222-4-42222-2-24-2-24-4-224-400000000-22-224-4-2-22200000000000000000000000000000000000000000000000000000000000
χ974-4-44-244-44-4-4-4224-4-24-2-24-2-2002222-4-42222-2-24-2-2-442-2-44000000002-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000
χ984-4-44-24-24-4-4-4222-22-24-21-2110022-1-122-1-1-1-1-21-211-22-224-400000000-221-1-2211-1-1003-3003-3-33003-3003-3-33000000000000000000000000000000000000000
χ994-4-44-24-24-4-4-4222-22-24-21-2110022-1-122-1-1-1-1-21-211-22-224-400000000-221-1-2211-1-100-3300-333-300-3300-333-3000000000000000000000000000000000000000
χ1004-4-44-24-2-44-4-4222-22-24-21-2110022-1-122-1-1-1-1-21-2112-22-2-44000000002-2-112-2-1-111003-3003-3-3300-3300-333-3000000000000000000000000000000000000000
χ1014-4-44-24-2-44-4-4222-22-24-21-2110022-1-122-1-1-1-1-21-2112-22-2-44000000002-2-112-2-1-11100-3300-333-3003-3003-3-33000000000000000000000000000000000000000
χ1024-4-44-2-244-422-4224-4-2-21-2-21100-1-12222-1-1-1-11-2-2114-4-22-22−2i32i3−2i32i300001-1-22-2211-1-1i3−i300−2i32i3i3i3−i3−i3i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000000
χ1034-4-44-2-244-422-4224-4-2-21-2-21100-1-12222-1-1-1-11-2-2114-4-22-222i3−2i32i3−2i300001-1-22-2211-1-1−i3i3002i3−2i3−i3−i3i3i3−i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000
χ1044-4-44-2-24-4422-4224-4-2-21-2-21100-1-12222-1-1-1-11-2-211-442-22-2−2i32i32i3−2i30000-112-22-2-1-111i3−i300−2i32i3i3i3−i3−i3−i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000
χ1054-4-44-2-24-4422-4224-4-2-21-2-21100-1-12222-1-1-1-11-2-211-442-22-22i3−2i3−2i32i30000-112-22-2-1-111−i3i3002i3−2i3−i3−i3i3i3i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000000
χ1064-4-44-2-2-24-422222-22-2-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-22−2i32i3−2i32i300001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i33-3i3−i3−3−i323−i323+i32−3+i32i3−i33-3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ1074-4-44-2-2-24-422222-22-2-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-222i3−2i32i3−2i300001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3-33−i3i33+i32−3+i32−3−i323−i32−i3i3-33−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ1084-4-44-2-2-24-422222-22-2-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-22−2i32i3−2i32i300001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3-33i3−i33−i32−3−i32−3+i323+i32i3−i3-33i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ1094-4-44-2-2-24-422222-22-2-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-222i3−2i32i3−2i300001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i33-3−i3i3−3+i323+i323−i32−3−i32−i3i33-3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ1104-4-44-2-2-2-4422222-22-2-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-2−2i32i32i3−2i30000-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i33-3i3−i3−3−i323−i323+i32−3+i32−i3i3-33−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ1114-4-44-2-2-2-4422222-22-2-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-22i3−2i3−2i32i30000-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3-33−i3i33+i32−3+i32−3−i323−i32i3−i33-3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ1124-4-44-2-2-2-4422222-22-2-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-2−2i32i32i3−2i30000-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3-33i3−i33−i32−3−i32−3+i323+i32−i3i33-3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ1134-4-44-2-2-2-4422222-22-2-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-22i3−2i3−2i32i30000-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i33-3−i3i3−3+i323+i323−i32−3−i32i3−i3-33i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ11488-8-88-4-400-44-48-844-84-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-48-4008-8-4-44444-8-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4800-448-44-8-8442-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-400-44-4-444444222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-4-4-400-44-4-444444222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-88-4-4004-44-884-4-84-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-48-400-8844-44-44-8-42-422004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-48004-4-84-4-88442-4-42200-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-8-4-4-4004-444-44-444222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-4-4-4004-444-44-444222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000

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