Finite Group Databasebeta

← Group #13161973

Character table — Group #13161973

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order122233344666666666223333366666666666666666661212121212126666666666666666666666661212121212121212121244442288888888121212124444446612121212242424242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ6111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111
χ8111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1
χ91-1-111111-1-1-1-1-111-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11-1ii−i−iii−i−i11-1-1i−ii−i1-11-111-1-1ii−i−iii−i−ii−ii−i
χ101-1-111111-1-1-1-1-111-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-11-1−i−iii−i−iii11-1-1−ii−ii1-11-111-1-1−i−iii−i−iii−ii−ii
χ111-1-111111-1-1-1-1-111-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-11ii−i−i−i−iii-1-111i−i−ii-11-11-1-111ii−i−i−i−iiii−i−ii
χ121-1-111111-1-1-1-1-111-1-111-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111-11−i−iiiii−i−i-1-111−iii−i-11-11-1-111−i−iiiii−i−i−iii−i
χ131-1-111111-1-1-1-1-111-1-11-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-11-1ii−i−iii−i−i11-1-1−ii−ii-111-1-1-111ii−i−iii−i−i−ii−ii
χ141-1-111111-1-1-1-1-111-1-11-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1-11-1−i−iii−i−iii11-1-1i−ii−i-111-1-1-111−i−iii−i−iiii−ii−i
χ151-1-111111-1-1-1-1-111-1-11-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-111-11ii−i−i−i−iii-1-111−iii−i1-1-1111-1-1ii−i−i−i−iii−iii−i
χ161-1-111111-1-1-1-1-111-1-11-1111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-111-11−i−iiiii−i−i-1-111i−i−ii1-1-1111-1-1−i−iiiii−i−ii−i−ii
χ172222222-2-222222222200222220000222222222222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-22222-2-2000000002222000000-2-20000000000000000
χ182222222-2-222222222200222220000222222222222222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-2-2-2000000220000000000000000
χ19222222-12222-1-12222-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-122222200000000-1-1-1-1000022-1-1-1-1-1-1000000000000
χ20222222-12222-1-12222-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-2-2-20000000011110000-2-2111111000000000000
χ21222222-12222-1-12222-1-2-22-1-1-1-1111122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-2-211111111-2-2111111112-1-1-1-12-1-1-1-122222200000000-1-1-1-10000-2-2-1-11111000000000000
χ22222222-12222-1-12222-1-2-22-1-1-1-1111122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-2-211111111-2-2111111112-1-1-1-12-1-1-1-1-2-2-2-2-2-200000000111100002211-1-1-1-1000000000000
χ23222222-1-2-222-1-12222-1002-1-1-1-1−i3i3−i3i322-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2000000−i3−i3−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3i3i3-21111-211112222-2-200000000-1-1-1-100000011−i3i3−i3i3000000000000
χ24222222-1-2-222-1-12222-1002-1-1-1-1−i3i3−i3i322-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2000000−i3−i3−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3i3i3-21111-21111-2-2-2-222000000001111000000-1-1i3−i3i3−i3000000000000
χ25222222-1-2-222-1-12222-1002-1-1-1-1i3−i3i3−i322-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2000000i3i3i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3−i3−i3-21111-211112222-2-200000000-1-1-1-100000011i3−i3i3−i3000000000000
χ26222222-1-2-222-1-12222-1002-1-1-1-1i3−i3i3−i322-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2000000i3i3i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3−i3−i3-21111-21111-2-2-2-222000000001111000000-1-1−i3i3−i3i3000000000000
χ2722222-12222-1222-12-1222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12-1222-12-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-1-10000000000222200000022000000000000-1-1-1-100-1-1
χ2822222-12222-1222-12-1222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-12-1222-12-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-1-10000000000-2-2-2-2000000-2-200000000000011110011
χ2922222-12222-1222-12-12-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-21-2111-2111-211111-2111-2111-12-1-1-1-12-1-1-100000000002222000000-2-2000000000000-1-1-1-10011
χ3022222-12222-1222-12-12-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-21-2111-2111-211111-2111-2111-12-1-1-1-12-1-1-10000000000-2-2-2-200000022000000000000111100-1-1
χ312222-12222-1222-12-12222-1-12-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-12-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-1000000222200000000220000000000-1-1-1-10000-1-100
χ322222-12222-1222-12-12222-1-12-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-12-12-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-1-12-1-1-1-12-1-1000000-2-2-2-200000000-2-20000000000111100001100
χ332222-12222-1222-12-122-2-2-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-121-21-2111-2111-211111-2111-211-1-12-1-1-1-12-1-1000000222200000000-2-20000000000-1-1-1-100001100
χ342222-12222-1222-12-122-2-2-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-121-21-2111-2111-211111-2111-211-1-12-1-1-1-12-1-1000000-2-2-2-20000000022000000000011110000-1-100
χ3522-2-2222002-22-2-2-2-22-2002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i00−i2i2−i2i22−22−22i−2i2i−2i000000000000−i2i2−i2i22−22−20000
χ3622-2-2222002-22-2-2-2-22-2002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002i−2i2i−2i00i2−i2i2−i2−22−222i−2i2i−2i000000000000i2−i2i2−i2−22−220000
χ3722-2-2222002-22-2-2-2-22-2002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i00−i2i2−i2i2−22−22−2i2i−2i2i000000000000−i2i2−i2i2−22−220000
χ3822-2-2222002-22-2-2-2-22-2002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000−2i2i−2i2i00i2−i2i2−i22−22−2−2i2i−2i2i000000000000i2−i2i2−i22−22−20000
χ392-22-222200-22-22-2-22-2-200222220000-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000002i−2i−2i2i002−2−22i2−i2−i2i22i−2i−2i2i0000000000002−2−22i2−i2−i2i20000
χ402-22-222200-22-22-2-22-2-200222220000-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000002i−2i−2i2i00−222−2−i2i2i2−i22i−2i−2i2i000000000000−222−2−i2i2i2−i20000
χ412-22-222200-22-22-2-22-2-200222220000-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000−2i2i2i−2i002−2−22−i2i2i2−i2−2i2i2i−2i0000000000002−2−22−i2i2i2−i20000
χ422-22-222200-22-22-2-22-2-200222220000-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000−2i2i2i−2i00−222−2i2−i2−i2i2−2i2i2i−2i000000000000−222−2i2−i2−i2i20000
χ432-2-22222-22-2-2-2-222-2-2200222220000-2-2-2-2-2-2-2-2-2-222222-2-2-2222000000000000000000000000-2-2-2-2-22222222-2-2-220000000022-2-2000000-220000000000000000
χ442-2-22222-22-2-2-2-222-2-2200222220000-2-2-2-2-2-2-2-2-2-222222-2-2-2222000000000000000000000000-2-2-2-2-222222-2-2222-200000000-2-2220000002-20000000000000000
χ452-2-2222-12-2-2-21122-2-2-12-22-1-1-1-1-1-111-2-2111111112-1-1-1-122-11-2-222-2-222-1-1-1-1-1-1-1-1-2-2111111112-1-1-1-1-2111122-2-22-200000000-1-11100002-2-11-1-111000000000000
χ462-2-2222-12-2-2-21122-2-2-12-22-1-1-1-1-1-111-2-2111111112-1-1-1-122-11-2-222-2-222-1-1-1-1-1-1-1-1-2-2111111112-1-1-1-1-21111-2-222-220000000011-1-10000-221-111-1-1000000000000
χ472-2-2222-12-2-2-21122-2-2-1-222-1-1-1-111-1-1-2-2111111112-1-1-1-122-11-2-2-2-222-2-21111111122-1-1-1-1-1-1-1-12-1-1-1-1-2111122-2-22-200000000-1-1110000-22-1111-1-1000000000000
χ482-2-2222-12-2-2-21122-2-2-1-222-1-1-1-111-1-1-2-2111111112-1-1-1-122-11-2-2-2-222-2-21111111122-1-1-1-1-1-1-1-12-1-1-1-1-21111-2-222-220000000011-1-100002-21-1-1-111000000000000
χ492-2-2222-1-22-2-21122-2-2-1002-1-1-1-1−i3i3i3−i3-2-2111111112-1-1-1-1-2-21-122000000−i3−i3−i3−i3i3i3i3i300i3i3i3i3−i3−i3−i3−i3-211112-1-1-1-122-2-2-2200000000-1-1110000001-1−i3i3i3−i3000000000000
χ502-2-2222-1-22-2-21122-2-2-1002-1-1-1-1−i3i3i3−i3-2-2111111112-1-1-1-1-2-21-122000000−i3−i3−i3−i3i3i3i3i300i3i3i3i3−i3−i3−i3−i3-211112-1-1-1-1-2-2222-20000000011-1-1000000-11i3−i3−i3i3000000000000
χ512-2-2222-1-22-2-21122-2-2-1002-1-1-1-1i3−i3−i3i3-2-2111111112-1-1-1-1-2-21-122000000i3i3i3i3−i3−i3−i3−i300−i3−i3−i3−i3i3i3i3i3-211112-1-1-1-122-2-2-2200000000-1-1110000001-1i3−i3−i3i3000000000000
χ522-2-2222-1-22-2-21122-2-2-1002-1-1-1-1i3−i3−i3i3-2-2111111112-1-1-1-1-2-21-122000000i3i3i3i3−i3−i3−i3−i300−i3−i3−i3−i3i3i3i3i3-211112-1-1-1-1-2-2222-20000000011-1-1000000-11−i3i3i3−i3000000000000
χ532-2-222-122-2-21-2-22-1-2122-2-12-1-1-122-2-211-2-2111111-12-1-1-12-12-2-212-1-21-1-12-1-1-12-1-1-111-2111-2111-12-1-1-11-211100000000002i2i−2i−2i0000002i−2i000000000000−i−iii00−ii
χ542-2-222-122-2-21-2-22-1-2122-2-12-1-1-122-2-211-2-2111111-12-1-1-12-12-2-212-1-21-1-12-1-1-12-1-1-111-2111-2111-12-1-1-11-21110000000000−2i−2i2i2i000000−2i2i000000000000ii−i−i00i−i
χ552-2-222-122-2-21-2-22-1-212-22-12-1-1-1-2-22211-2-2111111-12-1-1-12-12-2-21-212-111-2111-2111-1-12-1-1-12-1-1-1-12-1-1-11-211100000000002i2i−2i−2i000000−2i2i000000000000−i−iii00i−i
χ562-2-222-122-2-21-2-22-1-212-22-12-1-1-1-2-22211-2-2111111-12-1-1-12-12-2-21-212-111-2111-2111-1-12-1-1-12-1-1-1-12-1-1-11-21110000000000−2i−2i2i2i0000002i−2i000000000000ii−i−i00−ii
χ572-2-22-1222-21-2-2-2-121-222-2-1-12-1-122-2-21111-2-21111-1-12-1-1-122-21-2-121-2-1-1-12-1-1-12-1-1111-2111-211-1-12-1-111-2110000002i2i−2i−2i000000002i−2i0000000000−i−iii0000−ii00
χ582-2-22-1222-21-2-2-2-121-222-2-1-12-1-122-2-21111-2-21111-1-12-1-1-122-21-2-121-2-1-1-12-1-1-12-1-1111-2111-211-1-12-1-111-211000000−2i−2i2i2i00000000−2i2i0000000000ii−i−i0000i−i00
χ592-2-22-1222-21-2-2-2-121-22-22-1-12-1-1-2-2221111-2-21111-1-12-1-1-122-21-21-2-12111-2111-211-1-1-12-1-1-12-1-1-1-12-1-111-2110000002i2i−2i−2i00000000−2i2i0000000000−i−iii0000i−i00
χ602-2-22-1222-21-2-2-2-121-22-22-1-12-1-1-2-2221111-2-21111-1-12-1-1-122-21-21-2-12111-2111-211-1-1-12-1-1-12-1-1-1-12-1-111-211000000−2i−2i2i2i000000002i−2i0000000000ii−i−i0000−ii00
χ6144444-24-4-44-2444-24-2400-24-2-2-20000-2-244-2-2-2-2-2-2-24-2-2-2-42-4-4-420000000000000000000000002-42222-4222000000000000000000000000000000000000000000
χ6244444-2-2444-2-2-24-24-2-244-2-2111-2-2-2-2-2-2-2-2111111-2-21114-2-2-24-24-24-2-2-2-2111-2111-2-2-2111-2111-2-2111-2-2111000000000000000000000000000000000000000000
χ6344444-2-2444-2-2-24-24-2-2-4-4-2-21112222-2-2-2-2111111-2-21114-2-2-24-2-42-42222-1-1-12-1-1-1222-1-1-12-1-1-1-2-2111-2-2111000000000000000000000000000000000000000000
χ6444444-2-2-4-44-2-2-24-24-2-200-2-2111−2i32i3−2i32i3-2-2-2-2111111-2-2111-4222-42000000−2i3i3i3i32i3−i3−i3−i300−2i3i3i3i32i3−i3−i3−i322-1-1-122-1-1-1000000000000000000000000000000000000000000
χ6544444-2-2-4-44-2-2-24-24-2-200-2-21112i3−2i32i3−2i3-2-2-2-2111111-2-2111-4222-420000002i3−i3−i3−i3−2i3i3i3i3002i3−i3−i3−i3−2i3i3i3i322-1-1-122-1-1-1000000000000000000000000000000000000000000
χ664444-244-4-4-2444-24-24400-2-24-2-20000-2-2-2-244-2-2-2-2-2-24-2-22-4-4-42-400000000000000000000000022-42222-422000000000000000000000000000000000000000000
χ674444-24-244-24-2-2-24-24-244-21-211-2-2-2-2-2-211-2-21111-21-211-24-2-2-24-24-24-2-21-2111-211-2-21-2111-211-21-211-21-211000000000000000000000000000000000000000000
χ684444-24-244-24-2-2-24-24-2-4-4-21-2112222-2-211-2-21111-21-211-24-2-2-242-42-422-12-1-1-12-1-122-12-1-1-12-1-1-21-211-21-211000000000000000000000000000000000000000000
χ694444-24-2-4-4-24-2-2-24-24-200-21-211−2i32i3−2i32i3-2-211-2-21111-21-2112-4222-4000000i3−2i3i3i3−i32i3−i3−i300i3−2i3i3i3−i32i3−i3−i32-12-1-12-12-1-1000000000000000000000000000000000000000000
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χ714444-2-2444-2-244-2-2-2-24441-2-211444411-2-2-2-211111-2-211-2-244-2-2-2-2-2-211-2-211-2-21111-2-211-2-2111-2-2111-2-211000000000000000000000000000000000000000000
χ724444-2-2444-2-244-2-2-2-24-4-41-2-211-4-4-4-411-2-2-2-211111-2-211-2-244-2-22222-1-122-1-122-1-1-1-122-1-122-1-11-2-2111-2-211000000000000000000000000000000000000000000
χ734444-2-24-4-4-2-244-2-2-2-24001-2-211000011-2-2-2-211111-2-21122-4-42200003-3003-3003-33-3003-3003-3-122-1-1-122-1-1000000000000000000000000000000000000000000
χ744444-2-24-4-4-2-244-2-2-2-24001-2-211000011-2-2-2-211111-2-21122-4-4220000-3300-3300-33-3300-3300-33-122-1-1-122-1-1000000000000000000000000000000000000000000
χ754444-2-2-244-2-2-2-2-2-2-2-2-244111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-21111−1−3i32−1+3i3211−1+3i32−1−3i321111−1−3i32−1+3i3211−1+3i32−1−3i32111−1−3i32−1+3i32111−1−3i32−1+3i32000000000000000000000000000000000000000000
χ764444-2-2-244-2-2-2-2-2-2-2-2-244111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-21111−1+3i32−1−3i3211−1−3i32−1+3i321111−1+3i32−1−3i3211−1−3i32−1+3i32111−1+3i32−1−3i32111−1+3i32−1−3i32000000000000000000000000000000000000000000
χ774444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1−3i32−1+3i322222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-22222-1-1-1-11+3i321−3i32-1-11−3i321+3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32111−1−3i32−1+3i32111−1−3i32−1+3i32000000000000000000000000000000000000000000
χ784444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-22222-1-1-1-11−3i321+3i32-1-11+3i321−3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i32111−1+3i32−1−3i32111−1+3i32−1−3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1−3i32−1+3i32−2i32i3−2i32i3111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222200003-3i3i3−3−i323−i32−i3−i3−3+i323+i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1−3i32−1+3i322i3−2i32i3−2i3111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222220000-33−i3−i33+i32−3+i32i3i33−i32−3−i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000000000000000000
χ814444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1+3i32−1−3i32−2i32i3−2i32i3111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222220000-33i3i33−i32−3−i32−i3−i33+i32−3+i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000000000000000000
χ824444-2-2-2-4-4-2-2-2-2-2-2-2-2-200111−1+3i32−1−3i322i3−2i32i3−2i3111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222200003-3−i3−i3−3+i323+i32i3i3−3−i323−i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000000000000000000
χ8344-4-444-2004-4-22-4-4-442004-2-2-2-200004-4-22-22-2-222-4222200000000000000000000000000000000000000004i−4i4i−4i0000000000−2i2i−2i2i000000000000000000000000
χ8444-4-444-2004-4-22-4-4-442004-2-2-2-200004-4-22-22-2-222-422220000000000000000000000000000000000000000−4i4i−4i4i00000000002i−2i2i−2i000000000000000000000000
χ8544-4-44-2400424-4-42-4-2-400-24-2-2-20000-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000022−2222−2200000000000000000000−22−220000
χ8644-4-44-2400424-4-42-4-2-400-24-2-2-20000-224-4-22-2-2222-422200000000000000000000000000000000000000000000000000−2222−2222000000000000000000002−22−20000
χ8744-4-4-24400-2-44-42-424-400-2-24-2-20000-22-224-4-2-22222-4220000000000000000000000000000000000000000000000−2i22i2−2i22i200000000000000000000i2−i2i2−i200000000
χ8844-4-4-24400-2-44-42-424-400-2-24-2-20000-22-224-4-2-22222-42200000000000000000000000000000000000000000000002i2−2i22i2−2i200000000000000000000−i2i2−i2i200000000
χ894-44-444-200-442-2-4-44-42004-2-2-2-20000-442-22-222-2-2-4222200000000000000000000000000000000000000004i−4i−4i4i0000000000−2i2i2i−2i000000000000000000000000
χ904-44-444-200-442-2-4-44-42004-2-2-2-20000-442-22-222-2-2-422220000000000000000000000000000000000000000−4i4i4i−4i00000000002i−2i−2i2i000000000000000000000000
χ914-44-44-2400-4-2-44-4242-400-24-2-2-200002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000i2−i2−i2i20000
χ924-44-44-2400-4-2-44-4242-400-24-2-2-200002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000−i2i2i2−i20000
χ934-44-4-2440024-442-4-2-4-400-2-24-2-200002-22-2-4422-2-222-422000000000000000000000000000000000000000000000022−22−222200000000000000000000−222−200000000
χ944-44-4-2440024-442-4-2-4-400-2-24-2-200002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000−222222−22000000000000000000002−2−2200000000
χ954-4-444-24-44-42-4-44-2-42400-24-2-2-2000022-4-4222222-24-2-2-2-42-444-20000000000000000000000002-4222-24-2-2-2000000000000000000000000000000000000000000
χ964-4-444-2-24-4-42224-2-42-24-4-2-2111-2-2222222-1-1-1-1-1-1-2-21114-2-22-424-2-42-2-2-2111-2111222-1-1-12-1-1-1-2-211122-1-1-1000000000000000000000000000000000000000000
χ974-4-444-2-24-4-42224-2-42-2-44-2-211122-2-22222-1-1-1-1-1-1-2-21114-2-22-42-424-2222-1-1-12-1-1-1-2-2-2111-2111-2-211122-1-1-1000000000000000000000000000000000000000000
χ984-4-444-2-2-44-42224-2-42-200-2-2111−2i32i32i3−2i32222-1-1-1-1-1-1-2-2111-422-24-2000000−2i3i3i3i32i3−i3−i3−i3002i3−i3−i3−i3−2i3i3i3i322-1-1-1-2-2111000000000000000000000000000000000000000000
χ994-4-444-2-2-44-42224-2-42-200-2-21112i3−2i3−2i32i32222-1-1-1-1-1-1-2-2111-422-24-20000002i3−i3−i3−i3−2i3i3i3i300−2i3i3i3i32i3−i3−i3−i322-1-1-1-2-2111000000000000000000000000000000000000000000
χ1004-4-44-244-442-4-4-4-242-4400-2-24-2-200002222-4-42222-2-24-2-22-4-44-2400000000000000000000000022-422-2-24-2-2000000000000000000000000000000000000000000
χ1014-4-44-24-24-42-422-242-4-24-4-21-211-2-22222-1-122-1-1-1-1-21-211-24-222-4-242-4-2-21-2111-21122-12-1-1-12-1-1-21-2112-12-1-1000000000000000000000000000000000000000000
χ1024-4-44-24-24-42-422-242-4-2-44-21-21122-2-222-1-122-1-1-1-1-21-211-24-222-42-4-2422-12-1-1-12-1-1-2-21-2111-211-21-2112-12-1-1000000000000000000000000000000000000000000
χ1034-4-44-24-2-442-422-242-4-200-21-211−2i32i32i3−2i322-1-122-1-1-1-1-21-2112-42-2-24000000i3−2i3i3i3−i32i3−i3−i300−i32i3−i3−i3i3−2i3i3i32-12-1-1-21-211000000000000000000000000000000000000000000
χ1044-4-44-24-2-442-422-242-4-200-21-2112i3−2i3−2i32i322-1-122-1-1-1-1-21-2112-42-2-24000000−i32i3−i3−i3i3−2i3i3i300i3−2i3i3i3−i32i3−i3−i32-12-1-1-21-211000000000000000000000000000000000000000000
χ1054-4-44-2-244-422-4-4-2-22244-41-2-21144-4-4-1-12222-1-1-1-11-2-211-2-24-422-2-22211-2-211-2-211-1-122-1-122-1-11-2-211-122-1-1000000000000000000000000000000000000000000
χ1064-4-44-2-244-422-4-4-2-2224-441-2-211-4-444-1-12222-1-1-1-11-2-211-2-24-42222-2-2-1-122-1-122-1-111-2-211-2-2111-2-211-122-1-1000000000000000000000000000000000000000000
χ1074-4-44-2-24-4422-4-4-2-2224001-2-2110000-1-12222-1-1-1-11-2-21122-44-2-200003-3003-3003-3-3300-3300-33-122-1-11-2-211000000000000000000000000000000000000000000
χ1084-4-44-2-24-4422-4-4-2-2224001-2-2110000-1-12222-1-1-1-11-2-21122-44-2-20000-3300-3300-333-3003-3003-3-122-1-11-2-211000000000000000000000000000000000000000000
χ1094-4-44-2-2-24-42222-2-222-24-4111−1−3i32−1+3i32-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2-2222-2-2221111−1−3i32−1+3i3211−1+3i32−1−3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000000000000000000000000000000
χ1104-4-44-2-2-24-42222-2-222-24-4111−1+3i32−1−3i32-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2-2222-2-2221111−1+3i32−1−3i3211−1−3i32−1+3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000000000000000000000000000000000000
χ1114-4-44-2-2-24-42222-2-222-2-44111−1−3i32−1+3i3222-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2-222222-2-2-1-1-1-11+3i321−3i32-1-11−3i321+3i321111−1−3i32−1+3i3211−1+3i32−1−3i32111−1−3i32−1+3i32-1-1-11+3i321−3i32000000000000000000000000000000000000000000
χ1124-4-44-2-2-24-42222-2-222-2-44111−1+3i32−1−3i3222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2-222222-2-2-1-1-1-11−3i321+3i32-1-11+3i321−3i321111−1+3i32−1−3i3211−1−3i32−1+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32000000000000000000000000000000000000000000
χ1134-4-44-2-2-2-442222-2-222-200111−1−3i32−1+3i32−2i32i32i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32222-2-2-200003-3i3i3−3−i323−i32−i3−i3−3+i323+i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000000000000000000
χ1144-4-44-2-2-2-442222-2-222-200111−1−3i32−1+3i322i3−2i3−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32222-2-2-20000-33−i3−i33+i32−3+i32i3i33−i32−3−i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000000000000000000
χ1154-4-44-2-2-2-442222-2-222-200111−1+3i32−1−3i32−2i32i32i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32222-2-2-20000-33i3i33−i32−3−i32−i3−i33+i32−3+i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000000000000000000
χ1164-4-44-2-2-2-442222-2-222-200111−1+3i32−1−3i322i3−2i3−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32222-2-2-200003-3−i3−i3−3+i323+i32i3i3−3−i323−i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000000000000000000
χ11788-8-88-4-40084-44-84-8-4400-4-42220000-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-400-4-8-444-848400-42-4220000-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4800-448-8444-4-8002-4-42200002-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-400-44-44444-4400222−1−3i3−1+3i300002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4-400-44-44444-4400222−1+3i3−1−3i300002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-88-4-400-8-44-4-8484400-4-422200004-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-48-400484-44-8-4-8400-42-42200004-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-88-8-4-48004-4-8844-44-8002-4-4220000-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-4-4-4004-44-444-44400222−1−3i3−1+3i30000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4004-44-444-44400222−1+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).