Finite Group Databasebeta

← Group #13178638

Character table — Group #13178638

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order122233344666666666223333366666666666666666661212121212126666666666666666666666661212121212121212121244442244444444121212124444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-111
χ8111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1
χ91111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111-11-11-111-1-111-1-1-1-111-1-11-11-1
χ101111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-111-1-11-1-1-1-1-1-1111111-1-1-11-11
χ111111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-11-111-11111-1-111-1-1-1-1111-1-11
χ121111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11-11-1-11111-1-111-1-111-111-1
χ131111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-11-11-1111-1-111-1-1-1-1-1-111-11-11
χ141111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111-1-111-1-1-1-1-1-1-11111-1-1111-11-1
χ151111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-1-111111-1-111-1-111-1-1-111-1
χ161111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11-1-1-11111-1-11111-1-11-1-11
χ17222222-122-12222-1-122222-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022220000000000000022-1-1000000-1-10000-1-100
χ18222222-122-12222-1-122222-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-12222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-200000000000000-2-2110000001100001100
χ19222222-122-12222-1-122-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-211-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000222200000000000000-2-2-1-1000000-1-100001100
χ20222222-122-12222-1-122-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-211-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000-2-2-2-2000000000000002211000000110000-1-100
χ21222222-1-2-2-12222-1-1222-22-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-22-2-1122-1-1-1-1-1-1-1-1-2-211111111-2-211111111000022-2-2000000000000002-2-1-1000000110000-1100
χ22222222-1-2-2-12222-1-1222-22-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-22-2-1122-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000-2-22200000000000000-2211000000-1-100001-100
χ23222222-1-2-2-12222-1-122-222-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2-221-1-2-21111111122-1-1-1-1-1-1-1-1-2-211111111000022-2-200000000000000-22-1-10000001100001-100
χ24222222-1-2-2-12222-1-122-222-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2-221-1-2-21111111122-1-1-1-1-1-1-1-1-2-2111111110000-2-222000000000000002-211000000-1-10000-1100
χ2522222-1222222-1-122-1222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000222200002200000000-1-1-1-100000000-1-1
χ2622222-1222222-1-122-1222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-2-2-20000-2-20000000011110000000011
χ2722222-1222222-1-122-12-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-12222-1-111-2-211-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000000022220000-2-200000000-1-1-1-10000000011
χ2822222-1222222-1-122-12-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-12222-1-111-2-211-2-211111111-2-2111111-1-122-1-1-1-1-1-10000000000-2-2-2-200002200000000111100000000-1-1
χ2922222-12-2-2222-1-122-122-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-211-112-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000000022-2-200002-200000000-1-11100000000-11
χ3022222-12-2-2222-1-122-122-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-211-112-2-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000000-2-2220000-220000000011-1-1000000001-1
χ3122222-12-2-2222-1-122-12-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-2111-1-2211-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000000022-2-20000-2200000000-1-111000000001-1
χ3222222-12-2-2222-1-122-12-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-2111-1-2211-2-2111111-1-122-1-1-1-1-1-111-2-21111110000000000-2-22200002-20000000011-1-100000000-11
χ332222-122222-1-122222-122-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122220000220000-1-1-1-100220000-1-1000000-1-1-1-10000
χ342222-122222-1-122222-122-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-20000-2-20000111100-2-200001100000011110000
χ352222-122222-1-122222-1-2-2-1-12-1-11111-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-2-2-2-21111-2-211111111-2-21111-1-1-1-122-1-1-1-122220000220000-1-1-1-100-2-20000-1-100000011110000
χ362222-122222-1-122222-1-2-2-1-12-1-11111-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-2-2-2-21111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2-2-2-20000-2-2000011110022000011000000-1-1-1-10000
χ372222-122-2-22-1-122222-12-2-1-12-1-1-1-111-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-22-22-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111122220000-2-20000-1-1-1-1002-2000011000000-1-1110000
χ382222-122-2-22-1-122222-12-2-1-12-1-1-1-111-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-22-22-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-2-2-20000220000111100-220000-1-100000011-1-10000
χ392222-122-2-22-1-122222-1-22-1-12-1-111-1-1-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-22-221111-2-21111-1-1-1-122-1-1-1-11111-2-2111122220000-2-20000-1-1-1-100-2200001100000011-1-10000
χ402222-122-2-22-1-122222-1-22-1-12-1-111-1-1-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-22-221111-2-21111-1-1-1-122-1-1-1-11111-2-21111-2-2-2-200002200001111002-20000-1-1000000-1-1110000
χ4122-2-22222-2-22-2-2-22-22-200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-22i2i−2i−2i00002i−2i00002i2i−2i−2i000000002i−2i00000000000000
χ4222-2-22222-2-22-2-2-22-22-200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-2−2i−2i2i2i0000−2i2i0000−2i−2i2i2i00000000−2i2i00000000000000
χ4322-2-2222-22-22-2-2-22-22-200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-2222i2i−2i−2i0000−2i2i00002i2i−2i−2i00000000−2i2i00000000000000
χ4422-2-2222-22-22-2-2-22-22-200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-222−2i−2i2i2i00002i−2i0000−2i−2i2i2i000000002i−2i00000000000000
χ4522-2-2-1222-2-2-11-2-22-22100-1-12-1-1−i3i3−i3i31111-2-21111-1-12-1-1-112-22-20000−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3-11-112-2-1-1112i2i−2i−2i00002i−2i0000−i−iii00000000−ii0000003−33−30000
χ4622-2-2-1222-2-2-11-2-22-22100-1-12-1-1−i3i3−i3i31111-2-21111-1-12-1-1-112-22-20000−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3-11-112-2-1-111−2i−2i2i2i0000−2i2i0000ii−i−i00000000i−i000000−33−330000
χ4722-2-2-1222-2-2-11-2-22-22100-1-12-1-1i3−i3i3−i31111-2-21111-1-12-1-1-112-22-20000i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3-11-112-2-1-1112i2i−2i−2i00002i−2i0000−i−iii00000000−ii000000−33−330000
χ4822-2-2-1222-2-2-11-2-22-22100-1-12-1-1i3−i3i3−i31111-2-21111-1-12-1-1-112-22-20000i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3-11-112-2-1-111−2i−2i2i2i0000−2i2i0000ii−i−i00000000i−i0000003−33−30000
χ4922-2-2-122-22-2-11-2-22-22100-1-12-1-1−i3i3i3−i31111-2-21111-1-12-1-11-1-22-220000−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i31-11-1-2211-1-12i2i−2i−2i0000−2i2i0000−i−iii00000000i−i0000003−3−330000
χ5022-2-2-122-22-2-11-2-22-22100-1-12-1-1−i3i3i3−i31111-2-21111-1-12-1-11-1-22-220000−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i31-11-1-2211-1-1−2i−2i2i2i00002i−2i0000ii−i−i00000000−ii000000−333−30000
χ5122-2-2-122-22-2-11-2-22-22100-1-12-1-1i3−i3−i3i31111-2-21111-1-12-1-11-1-22-220000i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i31-11-1-2211-1-12i2i−2i−2i0000−2i2i0000−i−iii00000000i−i000000−333−30000
χ5222-2-2-122-22-2-11-2-22-22100-1-12-1-1i3−i3−i3i31111-2-21111-1-12-1-11-1-22-220000i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i31-11-1-2211-1-1−2i−2i2i2i00002i−2i0000ii−i−i00000000−ii0000003−3−330000
χ532-22-2222002-2-22-2-2-2-22002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-2002i−2i00002i−2i2-22-20000000000002i−2i2i−2i00000000
χ542-22-2222002-2-22-2-2-2-22002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-200−2i2i0000−2i2i2-22-2000000000000−2i2i−2i2i00000000
χ552-22-2222002-2-22-2-2-2-22002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-22002i−2i0000−2i2i-22-22000000000000−2i2i2i−2i00000000
χ562-22-2222002-2-22-2-2-2-22002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-2200−2i2i00002i−2i-22-220000000000002i−2i−2i2i00000000
χ572-2-2222200-2-22-22-22-2-200222220000-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000002i−2i−2i2i2-200002i−2i002i−2i−2i2i0000002-2002i−2i000000000000
χ582-2-2222200-2-22-22-22-2-200222220000-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000002i−2i−2i2i-220000−2i2i002i−2i−2i2i000000-2200−2i2i000000000000
χ592-2-2222200-2-22-22-22-2-200222220000-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000−2i2i2i−2i2-20000−2i2i00−2i2i2i−2i0000002-200−2i2i000000000000
χ602-2-2222200-2-22-22-22-2-200222220000-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000−2i2i2i−2i-2200002i−2i00−2i2i2i−2i000000-22002i−2i000000000000
χ6144444-2-244-244-2-2-2-2-2444-2-21114444-2-2-2-2111111-2-211144-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-244-244-2-2-2-2-24-4-4-2-2111-4-4-4-4-2-2-2-2111111-2-211144-2-2-2-222222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ6344444-2-2-4-4-244-2-2-2-2-244-4-2-211144-4-4-2-2-2-2111111-2-2111-4-42222-22-22-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-4-244-2-2-2-2-24-44-2-2111-4-444-2-2-2-2111111-2-2111-4-422222-22-22222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ654444-24-244-2-2-244-2-24-244-21-211-2-2-2-2-2-211-2-21111-21-211-2-2-2-24444-2-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-244-2-2-244-2-24-2-4-4-21-2112222-2-211-2-21111-21-211-2-2-2-244-4-42222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ674444-24-2-4-4-2-2-244-2-24-24-4-21-211-2-222-2-211-2-21111-21-2112222-4-44-4-22-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ684444-24-2-4-4-2-2-244-2-24-2-44-21-21122-2-2-2-211-2-21111-21-2112222-4-4-442-222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ694444-2-24444-2-2-2-244-2-2441-2-211-2-2-2-211-2-2-2-211111-2-211-2-244-2-2-2-24411-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-24444-2-2-2-244-2-2-4-41-2-211222211-2-2-2-211111-2-211-2-244-2-222-4-4-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000
χ714444-2-24-4-44-2-2-2-244-2-24-41-2-211-2-22211-2-2-2-211111-2-21122-4-422-224-411-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ724444-2-24-4-44-2-2-2-244-2-2-441-2-21122-2-211-2-2-2-211111-2-21122-4-4222-2-44-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ734444-2-2-244-2-2-2-2-2-2-2-2-244111−1−3i32−1+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+3i32000000000000000000000000000000000000000000
χ744444-2-2-244-2-2-2-2-2-2-2-2-244111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
χ754444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1−3i32−1+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+3i32000000000000000000000000000000000000000000
χ764444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
χ774444-2-2-2-4-4-2-2-2-2-2-2-2-2-24-4111−1−3i32−1+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+3i321−3i32000000000000000000000000000000000000000000
χ784444-2-2-2-4-4-2-2-2-2-2-2-2-2-24-4111−1+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+3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-44111−1−3i32−1+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+3i321−3i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-44111−1+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+3i32000000000000000000000000000000000000000000
χ8144-4-444-24-424-4-4-4-224-4004-2-2-2-20000-4-4222222224-2-2-2-24-4-224-40000000000000000000000004-4-22-22-2-222000000000000000000000000000000000000000000
χ8244-4-444-2-4424-4-4-4-224-4004-2-2-2-20000-4-4222222224-2-2-2-2-442-2-44000000000000000000000000-442-22-222-2-2000000000000000000000000000000000000000000
χ8344-4-44-244-4-44-4224-4-2-400-24-2-2-2000022-4-4222222-24-2-2-24-44-4-22000000000000000000000000-224-4-22-2-222000000000000000000000000000000000000000000
χ8444-4-44-24-44-44-4224-4-2-400-24-2-2-2000022-4-4222222-24-2-2-2-44-442-20000000000000000000000002-2-442-222-2-2000000000000000000000000000000000000000000
χ8544-4-44-2-24-424-422-22-2-400-2-211100002222-1-1-1-1-1-1-2-21114-4-22-22000000003-33-3-3300003-33-3-33-22-221-111-1-1000000000000000000000000000000000000000000
χ8644-4-44-2-24-424-422-22-2-400-2-211100002222-1-1-1-1-1-1-2-21114-4-22-2200000000-33-333-30000-33-333-3-22-221-111-1-1000000000000000000000000000000000000000000
χ8744-4-44-2-2-4424-422-22-2-400-2-211100002222-1-1-1-1-1-1-2-2111-442-22-2000000003-33-3-330000-33-333-32-22-2-11-1-111000000000000000000000000000000000000000000
χ8844-4-44-2-2-4424-422-22-2-400-2-211100002222-1-1-1-1-1-1-2-2111-442-22-200000000-33-333-300003-33-3-332-22-2-11-1-111000000000000000000000000000000000000000000
χ8944-4-4-24-24-42-22-4-4-224200-21-211−2i32i3−2i32i322-1-122-1-1-1-1-21-211-22-224-40000−2i32i3i3−i300i3i3−i3−i3−2i32i3i3−i300i3i3−i3−i3-221-1-2211-1-1000000000000000000000000000000000000000000
χ9044-4-4-24-24-42-22-4-4-224200-21-2112i3−2i32i3−2i322-1-122-1-1-1-1-21-211-22-224-400002i3−2i3−i3i300−i3−i3i3i32i3−2i3−i3i300−i3−i3i3i3-221-1-2211-1-1000000000000000000000000000000000000000000
χ9144-4-4-24-2-442-22-4-4-224200-21-211−2i32i32i3−2i322-1-122-1-1-1-1-21-2112-22-2-440000−2i32i3i3−i300i3i3−i3−i32i3−2i3−i3i300−i3−i3i3i32-2-112-2-1-111000000000000000000000000000000000000000000
χ9244-4-4-24-2-442-22-4-4-224200-21-2112i3−2i3−2i32i322-1-122-1-1-1-1-21-2112-22-2-4400002i3−2i3−i3i300−i3−i3i3i3−2i32i3i3−i300i3i3−i3−i32-2-112-2-1-111000000000000000000000000000000000000000000
χ9344-4-4-2-244-4-4-22224-4-22001-2-211−2i32i3−2i32i3-1-12222-1-1-1-11-2-211-224-4-220000i3−i3−2i32i300i3i3−i3−i3i3−i3−2i32i300i3i3−i3−i31-1-22-2211-1-1000000000000000000000000000000000000000000
χ9444-4-4-2-244-4-4-22224-4-22001-2-2112i3−2i32i3−2i3-1-12222-1-1-1-11-2-211-224-4-220000−i3i32i3−2i300−i3−i3i3i3−i3i32i3−2i300−i3−i3i3i31-1-22-2211-1-1000000000000000000000000000000000000000000
χ9544-4-4-2-24-44-4-22224-4-22001-2-211−2i32i32i3−2i3-1-12222-1-1-1-11-2-2112-2-442-20000i3−i3−2i32i300i3i3−i3−i3−i3i32i3−2i300−i3−i3i3i3-112-22-2-1-111000000000000000000000000000000000000000000
χ9644-4-4-2-24-44-4-22224-4-22001-2-2112i3−2i3−2i32i3-1-12222-1-1-1-11-2-2112-2-442-20000−i3i32i3−2i300−i3−i3i3i3i3−i3−2i32i300i3i3−i3−i3-112-22-2-1-111000000000000000000000000000000000000000000
χ9744-4-4-2-2-24-42-2222-22-2200111−1−3i32−1+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+3i321−3i32000000000000000000000000000000000000000000
χ9844-4-4-2-2-24-42-2222-22-2200111−1−3i32−1+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+3i321−3i32000000000000000000000000000000000000000000
χ9944-4-4-2-2-24-42-2222-22-2200111−1+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+3i32000000000000000000000000000000000000000000
χ10044-4-4-2-2-24-42-2222-22-2200111−1+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+3i32000000000000000000000000000000000000000000
χ10144-4-4-2-2-2-442-2222-22-2200111−1−3i32−1+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+3i32000000000000000000000000000000000000000000
χ10244-4-4-2-2-2-442-2222-22-2200111−1−3i32−1+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+3i32000000000000000000000000000000000000000000
χ10344-4-4-2-2-2-442-2222-22-2200111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
χ10444-4-4-2-2-2-442-2222-22-2200111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
χ1054-44-444-200-2-4-44-422-44004-2-2-2-200004-4-22-22-2-222-4222200000000000000000000000000000000000000000000004i−4i000000000000000000000000−2i2i00000000
χ1064-44-444-200-2-4-44-422-44004-2-2-2-200004-4-22-22-2-222-422220000000000000000000000000000000000000000000000−4i4i0000000000000000000000002i−2i00000000
χ1074-44-44-24004-4-4-22-4-42400-24-2-2-20000-224-4-22-2-2222-422200000000000000000000000000000000000000000000000000004i−4i0000000000000000−2i2i0000000000
χ1084-44-44-24004-4-4-22-4-42400-24-2-2-20000-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000000−4i4i00000000000000002i−2i0000000000
χ1094-44-4-244004224-4-4-4-4-200-2-24-2-20000-22-224-4-2-22222-42200000000000000000000000000000000000000004-44-40000000000-22-22000000000000000000000000
χ1104-44-4-244004224-4-4-4-4-200-2-24-2-20000-22-224-4-2-22222-4220000000000000000000000000000000000000000-44-4400000000002-22-2000000000000000000000000
χ1114-4-4444-2002-44-442-2-4-4004-2-2-2-20000-442-22-222-2-2-42222000000000000000000000000000000000000000000004-4000000000000000000-220000000000000000
χ1124-4-4444-2002-44-442-2-4-4004-2-2-2-20000-442-22-222-2-2-4222200000000000000000000000000000000000000000000-440000000000000000002-20000000000000000
χ1134-4-444-2400-4-442-2-442-400-24-2-2-200002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000004i−4i0000000000000000−2i2i000000000000
χ1144-4-444-2400-4-442-2-442-400-24-2-2-200002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000−4i4i00000000000000002i−2i000000000000
χ1154-4-44-24400-42-2-44-44-4200-2-24-2-200002-22-2-4422-2-222-42200000000000000000000000000000000000000004i−4i−4i4i0000000000−2i2i2i−2i000000000000000000000000
χ1164-4-44-24400-42-2-44-44-4200-2-24-2-200002-22-2-4422-2-222-4220000000000000000000000000000000000000000−4i4i4i−4i00000000002i−2i−2i2i000000000000000000000000
χ1178-88-88-4-400-4-8-8-44444800-4-42220000-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-48-400-4448-844-8-400-42-4220000-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4800844-44-8-84-4002-4-42200002-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-400-444-44444-400222−1−3i3−1+3i300002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-400-444-44444-400222−1+3i3−1−3i300002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-888-4-4004-884-44-44-800-4-422200004-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-48-40044-4-884-4-8400-42-42200004-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-4800-84-44-4-8844002-4-4220000-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-40044-44-44-44400222−1−3i3−1+3i30000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-40044-44-44-44400222−1+3i3−1−3i30000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000

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