Finite Group Databasebeta

← Group #13178723

Character table — Group #13178723

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order12223334466666666633333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212224444444412121212244444466661212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-1
χ511111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-111-111-1-111-1-1-1-11111-1-111
χ711111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-111-1-1-1-1-111-1-111-1-1111111-1-1
χ811111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ91111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-11-1-111-1-1-1-111-1-111-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-11-1-1111111-1-1-1-111-1-1111-1-11
χ111111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-11-111-11-1-1-1-1111111-1-111-111-1
χ121111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-11-1-1-11111-1-1-1-111-1-1-11-11
χ131111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-11-11-111-1-1-1-111-1-1-1-111-11-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11-1-111-111111-1-1-1-11111-1-1-111-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-11-1-11
χ161111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1111111111-11-1-1-1-11111-1-1-1-1-1-1111-11-1
χ17222222-1222-1222-12-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122222222-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100220000000000200022000-1-100-1-100000000-1-1
χ18222222-1222-1222-12-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122222222-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-20000000000-2000-2-20001100110000000011
χ19222222-1222-1222-12-122-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-2-2-2-222-1-1-21-2122-1-1-1-1-1-1-1-1-2-211111111-2-211111111002200000000002000-2-2000-1-100-1-10000000011
χ20222222-1222-1222-12-122-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-2-2-2-222-1-1-21-2122-1-1-1-1-1-1-1-1-2-211111111-2-21111111100-2-20000000000-20002200011001100000000-1-1
χ21222222-1-2-22-1222-12-122-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-222-2-2-2-2112-1-21-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100220000000000-20002-20001100-1-100000000-11
χ22222222-1-2-22-1222-12-122-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-222-2-2-2-2112-1-21-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100-2-200000000002000-22000-1-10011000000001-1
χ23222222-1-2-22-1222-12-122-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-222-2-211-212-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-100220000000000-2000-220001100-1-1000000001-1
χ24222222-1-2-22-1222-12-122-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-222-2-211-212-1-2-211111111-2-21111111122-1-1-1-1-1-1-1-100-2-2000000000020002-2000-1-1001100000000-11
χ2522222-1222-1222-12-122-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-1222222-1-122-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1220000000000000222000-1-100-1-100000000-1-100
χ2622222-1222-1222-12-122-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-1222222-1-122-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-20000000000000-2-2-2000110011000000001100
χ2722222-1222-1222-12-122-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2-2-2-2-1-1221-21-2-1-122-1-1-1-1-1-111-2-211111111-2-21111112200000000000002-2-2000-1-100-1-1000000001100
χ2822222-1222-1222-12-122-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2-2-2-2-1-1221-21-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111-2-20000000000000-22200011001100000000-1-100
χ2922222-12-2-2-1222-12-122-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-222-2-211-2-2-121-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111220000000000000-22-2000-1-1001100000000-1100
χ3022222-12-2-2-1222-12-122-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-222-2-211-2-2-121-211-2-2111111-1-122-1-1-1-1-1-111-2-2111111-2-200000000000002-220001100-1-1000000001-100
χ3122222-12-2-2-1222-12-122-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-22211-2-21-2-1211-2-211111111-2-2111111-1-122-1-1-1-1-1-1220000000000000-2-22000-1-10011000000001-100
χ3222222-12-2-2-1222-12-122-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-22211-2-21-2-1211-2-211111111-2-2111111-1-122-1-1-1-1-1-1-2-2000000000000022-20001100-1-100000000-1100
χ332222-1222222-1-12222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000222222-1-1-1-1000000200000000-1-1-1-1-1-10000
χ342222-1222222-1-12222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-2-2-21111000000-2000000001111110000
χ352222-1222222-1-12222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-111112222-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111000022-2-2-2-2-1-1-1-1000000200000000-1-111110000
χ362222-1222222-1-12222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-111112222-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-211110000-2-222221111000000-20000000011-1-1-1-10000
χ372222-122-2-222-1-12222-1-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-111-1-111-2-2-2-222-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-2111100002222-2-2-1-1-1-1000000-20000000011-1-1110000
χ382222-122-2-222-1-12222-1-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-111-1-111-2-2-2-222-2-21111-2-21111-1-1-1-122-1-1-1-11111-2-211110000-2-2-2-2221111000000200000000-1-111-1-10000
χ392222-122-2-222-1-12222-1-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-11111-1-1-2-2-2-2-2-2221111-2-211111111-2-21111-1-1-1-122-1-1-1-1000022-2-222-1-1-1-1000000-2000000001111-1-10000
χ402222-122-2-222-1-12222-1-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-11111-1-1-2-2-2-2-2-2221111-2-211111111-2-21111-1-1-1-122-1-1-1-10000-2-222-2-21111000000200000000-1-1-1-1110000
χ4122-2-22222-2-2-22-222-2-2-22222200-2-2-2-2-2-2-2-2-2-2222222-200002-22-200002-22-22-222-2-2000000000000000000000000002i−2i2i−2i0000000000000000000002i−2i2i−2i0000
χ4222-2-22222-2-2-22-222-2-2-22222200-2-2-2-2-2-2-2-2-2-2222222-200002-22-200002-22-22-222-2-200000000000000000000000000−2i2i−2i2i000000000000000000000−2i2i−2i2i0000
χ4322-2-2222-22-2-22-222-2-2-22222200-2-2-2-2-2-2-2-2-2-222222-220000-22-220000-22-22-22-2-222000000000000000000000000002i−2i−2i2i0000000000000000000002i−2i−2i2i0000
χ4422-2-2222-22-2-22-222-2-2-22222200-2-2-2-2-2-2-2-2-2-222222-220000-22-220000-22-22-22-2-22200000000000000000000000000−2i2i2i−2i000000000000000000000−2i2i2i−2i0000
χ4522-2-2-1222-2-2-2-1122-2-21-1-12-1-1001111-2-21111-1-12-1-1-11−i3i3−i3i32-22-20000-11-112-2-1-111−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i30000002i−2i2i−2i33−3−30000000000000003−3−ii−ii0000
χ4622-2-2-1222-2-2-2-1122-2-21-1-12-1-1001111-2-21111-1-12-1-1-11−i3i3−i3i32-22-20000-11-112-2-1-111−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3000000−2i2i−2i2i−3−333000000000000000−33i−ii−i0000
χ4722-2-2-1222-2-2-2-1122-2-21-1-12-1-1001111-2-21111-1-12-1-1-11i3−i3i3−i32-22-20000-11-112-2-1-111i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i30000002i−2i2i−2i−3−333000000000000000−33−ii−ii0000
χ4822-2-2-1222-2-2-2-1122-2-21-1-12-1-1001111-2-21111-1-12-1-1-11i3−i3i3−i32-22-20000-11-112-2-1-111i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3000000−2i2i−2i2i33−3−30000000000000003−3i−ii−i0000
χ4922-2-2-122-22-2-2-1122-2-21-1-12-1-1001111-2-21111-1-12-1-11-1−i3i3i3−i3-22-2200001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i30000002i−2i−2i2i33−3−3000000000000000−33−iii−i0000
χ5022-2-2-122-22-2-2-1122-2-21-1-12-1-1001111-2-21111-1-12-1-11-1−i3i3i3−i3-22-2200001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i3000000−2i2i2i−2i−3−3330000000000000003−3i−i−ii0000
χ5122-2-2-122-22-2-2-1122-2-21-1-12-1-1001111-2-21111-1-12-1-11-1i3−i3−i3i3-22-2200001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i30000002i−2i−2i2i−3−3330000000000000003−3−iii−i0000
χ5222-2-2-122-22-2-2-1122-2-21-1-12-1-1001111-2-21111-1-12-1-11-1i3−i3−i3i3-22-2200001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i3000000−2i2i2i−2i33−3−3000000000000000−33i−i−ii0000
χ532-2-22222002-2-2-2-2-2-22222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-22i−2i2i−2i00002i−2i2i−2i00000002-200002i−2i0000000000
χ542-2-22222002-2-2-2-2-2-22222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-2−2i2i−2i2i0000−2i2i−2i2i00000002-20000−2i2i0000000000
χ552-2-22222002-2-2-2-2-2-22222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-222i−2i−2i2i0000−2i2i−2i2i0000000-2200002i−2i0000000000
χ562-2-22222002-2-2-2-2-2-22222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22−2i2i2i−2i00002i−2i2i−2i0000000-220000−2i2i0000000000
χ5744444-2-244-2-244-2-2-2-24-2-211144-2-2-2-2111111-2-2111444444-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-244-2-244-2-2-2-24-2-2111-4-4-2-2-2-2111111-2-211144-4-4-4-4-2-2-2-22222-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ5944444-2-2-4-4-2-244-2-2-2-24-2-21114-4-2-2-2-2111111-2-2111-4-444-4-42222-2-2222222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-4-2-244-2-2-2-24-2-2111-44-2-2-2-2111111-2-2111-4-4-4-444222222-2-22222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ614444-24-2444-2-2-24-24-2-2-21-21144-2-211-2-21111-21-211-2-2-2-2-2-244-2-24-24-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-2444-2-2-24-24-2-2-21-211-4-4-2-211-2-21111-21-211-2-2222244-2-2-42-42-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ634444-24-2-4-44-2-2-24-24-2-2-21-2114-4-2-211-2-21111-21-21122-2-222-4-4224-2-4222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-44-2-2-24-24-2-2-21-211-44-2-211-2-21111-21-2112222-2-2-4-422-424-222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ654444-2-2444-24-2-2-24-24-21-2-2114411-2-2-2-211111-2-211-2-2-2-2-2-2-2-244-24-2411-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-2444-24-2-2-24-24-21-2-211-4-411-2-2-2-211111-2-211-2-22222-2-2442-42-411-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ674444-2-24-4-4-24-2-2-24-24-21-2-2114-411-2-2-2-211111-2-21122-2-22222-4-4-242-4-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-4-24-2-2-24-24-21-2-211-4411-2-2-2-211111-2-2112222-2-222-4-42-4-24-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
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+3i32-2-22222-2-2-2-22222111111−1−3i32−1+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+3i32−1−3i32-2-22222-2-2-2-22222111111−1+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+3i3222-2-2222222-2-222-1-1-1-1-1-11+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+3i322222-2-2222222-2-2-1-1-1-1-1-11+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+3i32−1−3i3222-2-2222222-2-222-1-1-1-1-1-11−3i321+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+3i32−1−3i322222-2-2222222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ7744-4-444-24-4-424-44-2-42-44-2-2-2-200-4-4222222224-2-2-2-24-400004-4-2200004-4-22-22-2-22200000000000000000000000000000000000000000000000000000000000
χ7844-4-444-2-44-424-44-2-42-44-2-2-2-200-4-4222222224-2-2-2-2-440000-442-20000-442-22-222-2-200000000000000000000000000000000000000000000000000000000000
χ7944-4-44-244-42-44-4-242-4-4-24-2-2-20022-4-4222222-24-2-2-24-40000-224-40000-224-4-22-2-22200000000000000000000000000000000000000000000000000000000000
χ8044-4-44-24-442-44-4-242-4-4-24-2-2-20022-4-4222222-24-2-2-2-4400002-2-4400002-2-442-222-2-200000000000000000000000000000000000000000000000000000000000
χ8144-4-44-2-24-4224-4-2-222-4-2-2111002222-1-1-1-1-1-1-2-21114-40000-22-220000-22-221-111-1-100003-33-3-3300003-33-3-33000000000000000000000000000000000000000
χ8244-4-44-2-24-4224-4-2-222-4-2-2111002222-1-1-1-1-1-1-2-21114-40000-22-220000-22-221-111-1-10000-33-333-30000-33-333-3000000000000000000000000000000000000000
χ8344-4-44-2-2-44224-4-2-222-4-2-2111002222-1-1-1-1-1-1-2-2111-4400002-22-200002-22-2-11-1-11100003-33-3-330000-33-333-3000000000000000000000000000000000000000
χ8444-4-44-2-2-44224-4-2-222-4-2-2111002222-1-1-1-1-1-1-2-2111-4400002-22-200002-22-2-11-1-1110000-33-333-300003-33-3-33000000000000000000000000000000000000000
χ8544-4-4-24-24-4-42-224-2-422-21-2110022-1-122-1-1-1-1-21-211-22−2i32i3−2i32i34-4-220000-221-1-2211-1-1−2i32i3i3−i300i3i3−i3−i3−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000000
χ8644-4-4-24-24-4-42-224-2-422-21-2110022-1-122-1-1-1-1-21-211-222i3−2i32i3−2i34-4-220000-221-1-2211-1-12i3−2i3−i3i300−i3−i3i3i32i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000000
χ8744-4-4-24-2-44-42-224-2-422-21-2110022-1-122-1-1-1-1-21-2112-2−2i32i32i3−2i3-442-200002-2-112-2-1-111−2i32i3i3−i300i3i3−i3−i32i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000000
χ8844-4-4-24-2-44-42-224-2-422-21-2110022-1-122-1-1-1-1-21-2112-22i3−2i3−2i32i3-442-200002-2-112-2-1-1112i3−2i3−i3i300−i3−i3i3i3−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000000
χ8944-4-4-2-244-42-4-22-242-421-2-21100-1-12222-1-1-1-11-2-211-22−2i32i3−2i32i3-224-400001-1-22-2211-1-1i3−i3−2i32i300i3i3−i3−i3i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000000
χ9044-4-4-2-244-42-4-22-242-421-2-21100-1-12222-1-1-1-11-2-211-222i3−2i32i3−2i3-224-400001-1-22-2211-1-1−i3i32i3−2i300−i3−i3i3i3−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000000
χ9144-4-4-2-24-442-4-22-242-421-2-21100-1-12222-1-1-1-11-2-2112-2−2i32i32i3−2i32-2-440000-112-22-2-1-111i3−i3−2i32i300i3i3−i3−i3−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000000
χ9244-4-4-2-24-442-4-22-242-421-2-21100-1-12222-1-1-1-11-2-2112-22i3−2i3−2i32i32-2-440000-112-22-2-1-111−i3i32i3−2i300−i3−i3i3i3i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000000
χ9344-4-4-2-2-24-422-22-2-2222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22−2i32i3−2i32i3-22-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ9444-4-4-2-2-24-422-22-2-2222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-222i3−2i32i3−2i3-22-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ9544-4-4-2-2-24-422-22-2-2222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22−2i32i3−2i32i3-22-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ9644-4-4-2-2-24-422-22-2-2222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-222i3−2i32i3−2i3-22-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ9744-4-4-2-2-2-4422-22-2-2222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-2−2i32i32i3−2i32-22-20000-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ9844-4-4-2-2-2-4422-22-2-2222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22i3−2i3−2i32i32-22-20000-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ9944-4-4-2-2-2-4422-22-2-2222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-2−2i32i32i3−2i32-22-20000-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ10044-4-4-2-2-2-4422-22-2-2222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22i3−2i3−2i32i32-22-20000-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ1014-44-444400-44-44-4-44-4-44444400-44-44-44-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1034-44-444-200-4-2-44-4242-44-2-2-2-200-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000000000000000000002i3−2i300000000000000
χ1044-44-44-240024-442-4-2-4-4-24-2-2-2002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000000000000000000000023−23000000000000
χ1054-44-44-240024-442-4-2-4-4-24-2-2-2002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000000000000000000−2323000000000000
χ1064-44-4-24400-442-2-4-44-42-2-24-2-2002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ1074-44-4-24400-442-2-4-44-42-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ1084-4-4444-20042-4-4-42-4-244-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000004i−4i00000000000000000000000−2i2i0000000000
χ1094-4-4444-20042-4-4-42-4-244-2-2-2-2004-4-22-22-2-222-422220000000000000000000000000000000000000000000000−4i4i000000000000000000000002i−2i0000000000
χ1104-4-444-2400-2-4-4-42-4244-24-2-2-200-224-4-22-2-2222-4222000000000000000000000000000000000000000000004-40000000000000000000-220000000000000000
χ1114-4-444-2400-2-4-4-42-4244-24-2-2-200-224-4-22-2-2222-422200000000000000000000000000000000000000000000-4400000000000000000002-20000000000000000
χ1124-4-44-244004-422-4-4-44-2-2-24-2-200-22-224-4-2-22222-4220000000000000000000000000000000000000000000000004i−4i0000−2i2i−2i2i0000000000000000000000000
χ1134-4-44-244004-422-4-4-44-2-2-24-2-200-22-224-4-2-22222-422000000000000000000000000000000000000000000000000−4i4i00002i−2i2i−2i0000000000000000000000000
χ1148-88-88-4-4004-4-8844-44-8-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-48-400-8-44-4-84844-42-422004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-4800484-44-8-4-842-4-42200-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-4004-44-444-444222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-4004-44-444-444222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888-4-400-44-8-8444-48-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-48-4008444-84-8-4-4-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1228-8-88-4-4-400-4444444-4-4222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-400-4444444-4-4222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000

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