Finite Group Databasebeta

← Group #13178694

Character table — Group #13178694

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order122233344666666666223333366666666666666666661212121212126666666666666666666666661212121212121212121244444444441212121222444441212121212121212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-11111-1-111
χ6111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ7111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-111-1-1-11-1-1-1-1-1-1-11111111111-1-1
χ8111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ91111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-11-1-1-1-111-1-1-1-111-1-111-1-11-11-1
χ101111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-1111-111-1-111-1-111-1-1111-1-11
χ111111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-11-111-1-111-1-1-1-11111-1-1-11-11
χ121111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-111-11-11-1-1111111-1-1-1-111-111-1
χ131111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-111-1-111-1-11111-1-1-111-1
χ141111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-11-11-1-1-111-1-1-1-111-1-1-1-111-11-11
χ151111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11-1-111-11-1-1111111-1-111-1-11-1-11
χ161111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1-111-1-111-1-1-1-111-1-1111-11-1
χ17222222-1222-1222-1-122222-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1220000000000002200002-1-1-1-10000000000-1-100
χ18222222-1222-1222-1-122222-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2000000000000-2-20000-2111100000000001100
χ19222222-1222-1222-1-122-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-211-2-211111111-2-21111111122-1-1-1-1-1-1-1-122000000000000-2-200002-1-1-1-100000000001100
χ20222222-1222-1222-1-122-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-211-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-2000000000000220000-211110000000000-1-100
χ21222222-1-2-22-1222-1-1222-22-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-22-2-1122-1-1-1-1-1-1-1-1-2-211111111-2-211111111220000000000002-20000-2-1-1110000000000-1100
χ22222222-1-2-22-1222-1-1222-22-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-22-2-1122-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-2000000000000-220000211-1-100000000001-100
χ23222222-1-2-22-1222-1-122-222-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2-221-1-2-21111111122-1-1-1-1-1-1-1-1-2-21111111122000000000000-220000-2-1-11100000000001-100
χ24222222-1-2-22-1222-1-122-222-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2-221-1-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-20000000000002-20000211-1-10000000000-1100
χ2522222-1222222-1-122-1222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000002200000022020000000-1-1-1-1000000-1-1
χ2622222-1222222-1-122-1222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2000000-2-20-20000000111100000011
χ2722222-1222222-1-122-12-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-12222-1-111-2-211-2-211111111-2-2111111-1-122-1-1-1-1-1-10000000022000000-2-2020000000-1-1-1-100000011
χ2822222-1222222-1-122-12-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-12222-1-111-2-211-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000-2-2000000220-200000001111000000-1-1
χ2922222-12-2-2222-1-122-122-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-211-112-2-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000220000002-20-20000000-1-111000000-11
χ3022222-12-2-2222-1-122-122-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-211-112-2-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000-2-2000000-2202000000011-1-10000001-1
χ3122222-12-2-2222-1-122-12-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-2111-1-2211-2-2111111-1-122-1-1-1-1-1-111-2-21111110000000022000000-220-20000000-1-1110000001-1
χ3222222-12-2-2222-1-122-12-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-2111-1-2211-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000-2-20000002-202000000011-1-1000000-11
χ332222-12222-12-122222-122-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10022222200-1-1-1-100002000000-1-10000-1-1-1-10000
χ342222-12222-12-122222-122-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-2-2-20011110000-200000011000011110000
χ352222-12222-12-122222-1-2-2-1-12-1-11111-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-2-2-2-21111-2-211111111-2-21111-1-1-1-122-1-1-1-1002222-2-20011110000-2000000110000-1-1-1-10000
χ362222-12222-12-122222-1-2-2-1-12-1-11111-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-2-2-2-21111-2-211111111-2-21111-1-1-1-122-1-1-1-100-2-2-2-22200-1-1-1-100002000000-1-1000011110000
χ372222-122-2-2-12-122222-12-2-1-12-1-1-1-111-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-22-22-2-1-1-1-122-1-1-1-11111-2-211111111-2-211110022-2-22200-1-1-1-10000-2000000110000-1-1110000
χ382222-122-2-2-12-122222-12-2-1-12-1-1-1-111-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-22-22-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111100-2-222-2-200111100002000000-1-1000011-1-10000
χ392222-122-2-2-12-122222-1-22-1-12-1-111-1-1-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-22-221111-2-21111-1-1-1-122-1-1-1-11111-2-211110022-2-2-2-200111100002000000-1-10000-1-1110000
χ402222-122-2-2-12-122222-1-22-1-12-1-111-1-1-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-22-221111-2-21111-1-1-1-122-1-1-1-11111-2-2111100-2-2222200-1-1-1-10000-200000011000011-1-10000
χ4122-2-22222-222-2-2-2-2-22-200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-2002i−2i2i−2i00000000000000000000000002i−2i2i−2i0000
χ4222-2-22222-222-2-2-2-2-22-200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-200−2i2i−2i2i0000000000000000000000000−2i2i−2i2i0000
χ4322-2-2222-2222-2-2-2-2-22-200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-222002i−2i−2i2i00000000000000000000000002i−2i−2i2i0000
χ4422-2-2222-2222-2-2-2-2-22-200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-22200−2i2i2i−2i0000000000000000000000000−2i2i2i−2i0000
χ4522-2-2-1222-2-121-2-2-2-22100-1-12-1-1−i3i3−i3i31111-2-21111-1-12-1-1-112-22-20000−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3-11-112-2-1-111002i−2i2i−2i000033−3−3000000000003−30000−ii−ii0000
χ4622-2-2-1222-2-121-2-2-2-22100-1-12-1-1−i3i3−i3i31111-2-21111-1-12-1-1-112-22-20000−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3-11-112-2-1-11100−2i2i−2i2i0000−3−33300000000000−330000i−ii−i0000
χ4722-2-2-1222-2-121-2-2-2-22100-1-12-1-1i3−i3i3−i31111-2-21111-1-12-1-1-112-22-20000i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3-11-112-2-1-111002i−2i2i−2i0000−3−33300000000000−330000−ii−ii0000
χ4822-2-2-1222-2-121-2-2-2-22100-1-12-1-1i3−i3i3−i31111-2-21111-1-12-1-1-112-22-20000i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3-11-112-2-1-11100−2i2i−2i2i000033−3−3000000000003−30000i−ii−i0000
χ4922-2-2-122-22-121-2-2-2-22100-1-12-1-1−i3i3i3−i31111-2-21111-1-12-1-11-1-22-220000−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i31-11-1-2211-1-1002i−2i−2i2i000033−3−300000000000−330000−iii−i0000
χ5022-2-2-122-22-121-2-2-2-22100-1-12-1-1−i3i3i3−i31111-2-21111-1-12-1-11-1-22-220000−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i31-11-1-2211-1-100−2i2i2i−2i0000−3−333000000000003−30000i−i−ii0000
χ5122-2-2-122-22-121-2-2-2-22100-1-12-1-1i3−i3−i3i31111-2-21111-1-12-1-11-1-22-220000i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i31-11-1-2211-1-1002i−2i−2i2i0000−3−333000000000003−30000−iii−i0000
χ5222-2-2-122-22-121-2-2-2-22100-1-12-1-1i3−i3−i3i31111-2-21111-1-12-1-11-1-22-220000i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i31-11-1-2211-1-100−2i2i2i−2i000033−3−300000000000−330000i−i−ii0000
χ532-22-222200-2-222-22-2-2-2002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-200002i−2i2i−2i2i−2i2i−2i00000002-200002i−2i0000000000
χ542-22-222200-2-222-22-2-2-2002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-20000−2i2i−2i2i−2i2i−2i2i00000002-20000−2i2i0000000000
χ552-22-222200-2-222-22-2-2-2002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-2200002i−2i−2i2i2i−2i2i−2i0000000-220000−2i2i0000000000
χ562-22-222200-2-222-22-2-2-2002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-220000−2i2i2i−2i−2i2i−2i2i0000000-2200002i−2i0000000000
χ5744444-2-2444-24-2-2-2-2-2444-2-21114444-2-2-2-2111111-2-211144-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000
χ5844444-2-2444-24-2-2-2-2-24-4-4-2-2111-4-4-4-4-2-2-2-2111111-2-211144-2-2-2-222222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000
χ5944444-2-2-4-44-24-2-2-2-2-244-4-2-211144-4-4-2-2-2-2111111-2-2111-4-42222-22-22-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000
χ6044444-2-2-4-44-24-2-2-2-2-24-44-2-2111-4-444-2-2-2-2111111-2-2111-4-422222-22-22222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000
χ614444-24-244-2-2-244-2-24-244-21-211-2-2-2-2-2-211-2-21111-21-211-2-2-2-24444-2-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000
χ624444-24-244-2-2-244-2-24-2-4-4-21-2112222-2-211-2-21111-21-211-2-2-2-244-4-42222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000
χ634444-24-2-4-4-2-2-244-2-24-24-4-21-211-2-222-2-211-2-21111-21-2112222-4-44-4-22-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000
χ644444-24-2-4-4-2-2-244-2-24-2-44-21-21122-2-2-2-211-2-21111-21-2112222-4-4-442-222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000
χ654444-2-2444-24-2-2-244-2-2441-2-211-2-2-2-211-2-2-2-211111-2-211-2-244-2-2-2-24411-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000
χ664444-2-2444-24-2-2-244-2-2-4-41-2-211222211-2-2-2-211111-2-211-2-244-2-222-4-4-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000
χ674444-2-24-4-4-24-2-2-244-2-24-41-2-211-2-22211-2-2-2-211111-2-21122-4-422-224-411-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000
χ684444-2-24-4-4-24-2-2-244-2-2-441-2-21122-2-211-2-2-2-211111-2-21122-4-4222-2-44-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-244111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
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χ724444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-22222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ734444-2-2-2-4-4-2-2-2-2-2-2-2-2-24-4111−1−3i32−1+3i32-2-222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222-22-22111111−1−3i32−1+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
χ744444-2-2-2-4-4-2-2-2-2-2-2-2-2-24-4111−1+3i32−1−3i32-2-222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222-22-22111111−1+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
χ754444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-44111−1−3i32−1+3i3222-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222222-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ764444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-44111−1+3i32−1−3i3222-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222222-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ7744-4-444-24-44-2-4-4-4224-4004-2-2-2-20000-4-4222222224-2-2-2-24-4-224-40000000000000000000000004-4-22-22-2-222000000000000000000000000000000000000000
χ7844-4-444-2-444-2-4-4-4224-4004-2-2-2-20000-4-4222222224-2-2-2-2-442-2-44000000000000000000000000-442-22-222-2-2000000000000000000000000000000000000000
χ7944-4-44-244-444-422-4-4-2-400-24-2-2-2000022-4-4222222-24-2-2-24-44-4-22000000000000000000000000-224-4-22-2-222000000000000000000000000000000000000000
χ8044-4-44-24-4444-422-4-4-2-400-24-2-2-2000022-4-4222222-24-2-2-2-44-442-20000000000000000000000002-2-442-222-2-2000000000000000000000000000000000000000
χ8144-4-44-2-24-44-2-42222-2-400-2-211100002222-1-1-1-1-1-1-2-21114-4-22-22000000003-33-3-3300003-33-3-33-22-221-111-1-1000000000000000000000000000000000000000
χ8244-4-44-2-24-44-2-42222-2-400-2-211100002222-1-1-1-1-1-1-2-21114-4-22-2200000000-33-333-30000-33-333-3-22-221-111-1-1000000000000000000000000000000000000000
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χ8444-4-44-2-2-444-2-42222-2-400-2-211100002222-1-1-1-1-1-1-2-2111-442-22-200000000-33-333-300003-33-3-332-22-2-11-1-111000000000000000000000000000000000000000
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χ8744-4-4-24-2-44-2-22-4-4224200-21-211−2i32i32i3−2i322-1-122-1-1-1-1-21-2112-22-2-440000−2i32i3i3−i300i3i3−i3−i32i3−2i3−i3i300−i3−i3i3i32-2-112-2-1-111000000000000000000000000000000000000000
χ8844-4-4-24-2-44-2-22-4-4224200-21-2112i3−2i3−2i32i322-1-122-1-1-1-1-21-2112-22-2-4400002i3−2i3−i3i300−i3−i3i3i3−2i32i3i3−i300i3i3−i3−i32-2-112-2-1-111000000000000000000000000000000000000000
χ8944-4-4-2-244-4-24222-4-4-22001-2-211−2i32i3−2i32i3-1-12222-1-1-1-11-2-211-224-4-220000i3−i3−2i32i300i3i3−i3−i3i3−i3−2i32i300i3i3−i3−i31-1-22-2211-1-1000000000000000000000000000000000000000
χ9044-4-4-2-244-4-24222-4-4-22001-2-2112i3−2i32i3−2i3-1-12222-1-1-1-11-2-211-224-4-220000−i3i32i3−2i300−i3−i3i3i3−i3i32i3−2i300−i3−i3i3i31-1-22-2211-1-1000000000000000000000000000000000000000
χ9144-4-4-2-24-44-24222-4-4-22001-2-211−2i32i32i3−2i3-1-12222-1-1-1-11-2-2112-2-442-20000i3−i3−2i32i300i3i3−i3−i3−i3i32i3−2i300−i3−i3i3i3-112-22-2-1-111000000000000000000000000000000000000000
χ9244-4-4-2-24-44-24222-4-4-22001-2-2112i3−2i3−2i32i3-1-12222-1-1-1-11-2-2112-2-442-20000−i3i32i3−2i300−i3−i3i3i3i3−i3−2i32i300i3i3−i3−i3-112-22-2-1-111000000000000000000000000000000000000000
χ9344-4-4-2-2-24-4-2-222222-2200111−1−3i32−1+3i32−2i32i3−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-220000i3−i3i3−i33-3−3−i323−i323+i32−3+i32i3−i3i3−i33-3−3−i323−i323+i32−3+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000000
χ9444-4-4-2-2-24-4-2-222222-2200111−1−3i32−1+3i322i3−2i32i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-220000−i3i3−i3i3-333+i32−3+i32−3−i323−i32−i3i3−i3i3-333+i32−3+i32−3−i323−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000000
χ9544-4-4-2-2-24-4-2-222222-2200111−1+3i32−1−3i32−2i32i3−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-220000i3−i3i3−i3-333−i32−3−i32−3+i323+i32i3−i3i3−i3-333−i32−3−i32−3+i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000000
χ9644-4-4-2-2-24-4-2-222222-2200111−1+3i32−1−3i322i3−2i32i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-220000−i3i3−i3i33-3−3+i323+i323−i32−3−i32−i3i3−i3i33-3−3+i323+i323−i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000000
χ9744-4-4-2-2-2-44-2-222222-2200111−1−3i32−1+3i32−2i32i32i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-20000i3−i3i3−i33-3−3−i323−i323+i32−3+i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ9844-4-4-2-2-2-44-2-222222-2200111−1−3i32−1+3i322i3−2i3−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-20000−i3i3−i3i3-333+i32−3+i32−3−i323−i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ9944-4-4-2-2-2-44-2-222222-2200111−1+3i32−1−3i32−2i32i32i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-20000i3−i3i3−i3-333−i32−3−i32−3+i323+i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ10044-4-4-2-2-2-44-2-222222-2200111−1+3i32−1−3i322i3−2i3−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-20000−i3i3−i3i33-3−3+i323+i323−i32−3−i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ1014-44-444-200-4244-4-22-4-4004-2-2-2-200004-4-22-22-2-222-4222200000000000000000000000000000000000000004-40000000000000000000-220000000000000000
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χ1044-44-44-2400-4-44-224-42-400-24-2-2-20000-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000−4i4i000000000000000002i−2i0000000000
χ1054-44-4-244002-4-24-44-4-4200-2-24-2-20000-22-224-4-2-22222-42200000000000000000000000000000000000000000000004i−4i00−2i2i−2i2i0000000000000000000000000
χ1064-44-4-244002-4-24-44-4-4200-2-24-2-20000-22-224-4-2-22222-4220000000000000000000000000000000000000000000000−4i4i002i−2i2i−2i0000000000000000000000000
χ1074-4-4444400-4-4-4-44-44-4400444440000-44-44-44-4-444-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1084-4-4444-200-42-4-442-2-44004-2-2-2-20000-442-22-222-2-2-42222000000000000000000000000000000000000000000000000000000000000000−2i32i300000000000000
χ1094-4-4444-200-42-4-442-2-44004-2-2-2-20000-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000000002i3−2i300000000000000
χ1104-4-444-2400-4-4-42-2-442400-24-2-2-200002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000000000000000000000023−2300000000
χ1114-4-444-2400-4-4-42-2-442400-24-2-2-200002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000000000000000000−232300000000
χ1124-4-44-244002-42-44-44-4-200-2-24-2-200002-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ1134-4-44-244002-42-44-44-4-200-2-24-2-200002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ1148-88-88-4-400-848-44-444-800-4-42220000-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-48-40044-48-8-44-8400-42-4220000-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-8-4-48004-8-4-448-844002-4-42200002-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-4-4-40044-4-44-444400222−1−3i3−1+3i300002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-40044-4-44-444400222−1+3i3−1−3i300002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888-4-400-84-84-44-44800-4-422200004-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1218-8-88-4-48004-844-4-884-4002-4-4220000-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-4004444-44-44-400222−1−3i3−1+3i30000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4004444-44-44-400222−1+3i3−1−3i30000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000

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