Finite Group Databasebeta

← Group #13161995

Character table — Group #13161995

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order122233344666666666333334466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212124444448888888812121212444444121212121212242424242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511111111111111111111111-1-1111111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ611111111111111111111111-1-1111111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-1111111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ811111111111111111111111-1-1111111111111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ91-11-11111-1-1-1-111-1-11-1111111-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-11-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i11-1-1ii−i−iii−i−i1-1i−ii−ii−iii−i−i11-1-1ii−i−ii−i1-1
χ101-11-11111-1-1-1-111-1-11-1111111-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-11-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i-1-111−i−iiiii−i−i-11i−i−iii−iii−i−i-1-111−i−iii−ii-11
χ111-11-11111-1-1-1-111-1-11-1111111-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-11-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii11-1-1−i−iii−i−iii1-1−ii−ii−ii−i−iii11-1-1−i−iii−ii1-1
χ121-11-11111-1-1-1-111-1-11-1111111-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-11-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii-1-111ii−i−i−i−iii-11−iii−i−ii−i−iii-1-111ii−i−ii−i-11
χ131-11-11111-1-1-1-111-1-11-111111-11-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−ii−i11-1-1ii−i−iii−i−i-11−ii−iii−i−i−iii11-1-1ii−i−i−ii-11
χ141-11-11111-1-1-1-111-1-11-111111-11-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111ii−i−ii−i-1-111−i−iiiii−i−i1-1−iii−ii−i−i−iii-1-111−i−iiii−i1-1
χ151-11-11111-1-1-1-111-1-11-111111-11-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−ii11-1-1−i−iii−i−iii-11i−ii−i−iiii−i−i11-1-1−i−iiii−i-11
χ161-11-11111-1-1-1-111-1-11-111111-11-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−iii−ii-1-111ii−i−i−i−iii1-1i−i−ii−iiii−i−i-1-111ii−i−i−ii1-1
χ172222222-2-22222222222222200222222222222222-2-2-20000-2-2-20000-2-2-2-2-2-2-2-2-2-2000000000000000000002222-2-2000000002222000000-2-20000000000000000
χ182222222-2-22222222222222200222222222222222-2-2-20000-2-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-22200000000-2-2-2-2000000220000000000000000
χ19222222-1222222-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-1-1-122222222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222200000000-1-1-1-1002200-1-1-1-1-1-1000000000000
χ20222222-1222222-1-122-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-1-1-122222222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-200000000111100-2-200111111000000000000
χ21222222-1222222-1-122-12-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-12-1-11111222-2-2-2-22-1-1-1-12-1-1-1-1-2-211111111-2-21111111122222200000000-1-1-1-100-2-200-1-11111000000000000
χ22222222-1222222-1-122-12-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-12-1-11111222-2-2-2-22-1-1-1-12-1-1-1-1-2-211111111-2-211111111-2-2-2-2-2-200000000111100220011-1-1-1-1000000000000
χ23222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-211−i3i3−i3i3-2-2-20000-21111-2111100−i3−i3−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3i3i32222-2-200000000-1-1-1-100000011−i3i3−i3i3000000000000
χ24222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-211−i3i3−i3i3-2-2-20000-21111-2111100−i3−i3−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3i3i3-2-2-2-222000000001111000000-1-1i3−i3i3−i3000000000000
χ25222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-211i3−i3i3−i3-2-2-20000-21111-2111100i3i3i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3−i3−i32222-2-200000000-1-1-1-100000011i3−i3i3−i3000000000000
χ26222222-1-2-22222-1-122-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-211i3−i3i3−i3-2-2-20000-21111-2111100i3i3i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3−i3−i3-2-2-2-222000000001111000000-1-1−i3i3−i3i3000000000000
χ2722222-122222-1-122-122-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-1-12222222-12-1-122-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-10000000000222200000000220000000000-1-1-1-1-1-100
χ2822222-122222-1-122-122-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-1-12222222-12-1-122-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-10000000000-2-2-2-200000000-2-2000000000011111100
χ2922222-122222-1-122-122-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-1-122-2-2-2-22-1211-2-2-12-1-1-1-12-1-1-111-2111-211111-2111-21110000000000222200000000-2-20000000000-1-1-1-11100
χ3022222-122222-1-122-122-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-1-122-2-2-2-22-1211-2-2-12-1-1-1-12-1-1-111-2111-211111-2111-21110000000000-2-2-2-2000000002200000000001111-1-100
χ312222-12222-1-122222-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12222222-12-122-1-1-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1000000222200000000220000000000-1-1-1-1000000-1-1
χ322222-12222-1-122222-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12222222-12-122-1-1-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1000000-2-2-2-200000000-2-20000000000111100000011
χ332222-12222-1-122222-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1222-2-2-2-2-12-1-2-211-1-12-1-1-1-12-1-1111-2111-211111-2111-211000000222200000000-2-20000000000-1-1-1-100000011
χ342222-12222-1-122222-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1222-2-2-2-2-12-1-2-211-1-12-1-1-1-12-1-1111-2111-211111-2111-211000000-2-2-2-2000000002200000000001111000000-1-1
χ3522-2-2222002-22-2-22-2-2-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-22-2002−22−22−22−22-22-20000000000002−22−22−22−20000
χ3622-2-2222002-22-2-22-2-2-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-22-200−22−22−22−222-22-2000000000000−22−22−22−220000
χ3722-2-2222002-22-2-22-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22-22002−22−2−22−22-22-220000000000002−22−2−22−220000
χ3822-2-2222002-22-2-22-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22-2200−22−222−22−2-22-22000000000000−22−222−22−20000
χ392-22-2222-22-2-2-222-2-22-22222200-2-2-2-2-2-2-2-2-2-222222-2-22000022-20000-2-2-2-2-222222000000000000000000002i2i−2i−2i−2i2i000000002i2i−2i−2i000000−2i2i0000000000000000
χ402-22-2222-22-2-2-222-2-22-22222200-2-2-2-2-2-2-2-2-2-222222-2-22000022-20000-2-2-2-2-22222200000000000000000000−2i−2i2i2i2i−2i00000000−2i−2i2i2i0000002i−2i0000000000000000
χ412-22-222-12-2-2-2-22-11-2212-1-1-1-12-2-2-2111111112-1-1-1-12-11-1-111-2-222-22-22-1-1-1-1-2111122-1-1-1-1-1-1-1-1-2-2111111112i2i−2i−2i2i−2i00000000−i−iii002i−2i00−ii−i−iii000000000000
χ422-22-222-12-2-2-2-22-11-2212-1-1-1-12-2-2-2111111112-1-1-1-12-11-1-111-2-222-22-22-1-1-1-1-2111122-1-1-1-1-1-1-1-1-2-211111111−2i−2i2i2i−2i2i00000000ii−i−i00−2i2i00i−iii−i−i000000000000
χ432-22-222-12-2-2-2-22-11-2212-1-1-1-1-22-2-2111111112-1-1-1-12-1111-1-1-2-22-22-222-1-1-1-1-21111-2-21111111122-1-1-1-1-1-1-1-12i2i−2i−2i2i−2i00000000−i−iii00−2i2i00−iiii−i−i000000000000
χ442-22-222-12-2-2-2-22-11-2212-1-1-1-1-22-2-2111111112-1-1-1-12-1111-1-1-2-22-22-222-1-1-1-1-21111-2-21111111122-1-1-1-1-1-1-1-1−2i−2i2i2i−2i2i00000000ii−i−i002i−2i00i−i−i−iii000000000000
χ452-22-222-1-22-2-2-22-11-2212-1-1-1-100-2-2111111112-1-1-1-1-21-1−i3i3i3−i322-20000-211112-1-1-1-100−i3−i3−i3−i3i3i3i3i300i3i3i3i3−i3−i3−i3−i32i2i−2i−2i−2i2i00000000−i−iii000000i−i3−3−33000000000000
χ462-22-222-1-22-2-2-22-11-2212-1-1-1-100-2-2111111112-1-1-1-1-21-1−i3i3i3−i322-20000-211112-1-1-1-100−i3−i3−i3−i3i3i3i3i300i3i3i3i3−i3−i3−i3−i3−2i−2i2i2i2i−2i00000000ii−i−i000000−ii−333−3000000000000
χ472-22-222-1-22-2-2-22-11-2212-1-1-1-100-2-2111111112-1-1-1-1-21-1i3−i3−i3i322-20000-211112-1-1-1-100i3i3i3i3−i3−i3−i3−i300−i3−i3−i3−i3i3i3i3i32i2i−2i−2i−2i2i00000000−i−iii000000i−i−333−3000000000000
χ482-22-222-1-22-2-2-22-11-2212-1-1-1-100-2-2111111112-1-1-1-1-21-1i3−i3−i3i322-20000-211112-1-1-1-100i3i3i3i3−i3−i3−i3−i300−i3−i3−i3−i3i3i3i3i3−2i−2i2i2i2i−2i00000000ii−i−i000000−ii3−3−33000000000000
χ492-22-22-122-2-2-21-12-212-2-12-1-1-12-211-2-2111111-12-1-1-1-12-222-2-2-212-112-2-12-1-1-11-2111-1-12-1-1-12-1-1-111-2111-211100000000002i2i−2i−2i000000002i−2i0000000000−i−iii−ii00
χ502-22-22-122-2-2-21-12-212-2-12-1-1-12-211-2-2111111-12-1-1-1-12-222-2-2-212-112-2-12-1-1-11-2111-1-12-1-1-12-1-1-111-2111-21110000000000−2i−2i2i2i00000000−2i2i0000000000ii−i−ii−i00
χ512-22-22-122-2-2-21-12-212-2-12-1-1-1-2211-2-2111111-12-1-1-1-12-2-2-222-2121-1-22-12-1-1-11-211111-2111-2111-1-12-1-1-12-1-1-100000000002i2i−2i−2i00000000−2i2i0000000000−i−iiii−i00
χ522-22-22-122-2-2-21-12-212-2-12-1-1-1-2211-2-2111111-12-1-1-1-12-2-2-222-2121-1-22-12-1-1-11-211111-2111-2111-1-12-1-1-12-1-1-10000000000−2i−2i2i2i000000002i−2i0000000000ii−i−i−ii00
χ532-22-2-1222-211-222-2-2-1-2-1-12-1-12-21111-2-21111-1-12-1-122-222-2-21-2-12-2-11-1-12-1-111-211-1-1-12-1-1-12-1-1111-2111-21100000022-2-2000000002-20000000000-1-111000000-11
χ542-22-2-1222-211-222-2-2-1-2-1-12-1-12-21111-2-21111-1-12-1-122-222-2-21-2-12-2-11-1-12-1-111-211-1-1-12-1-1-12-1-1111-2111-211000000-2-22200000000-22000000000011-1-10000001-1
χ552-22-2-1222-211-222-2-2-1-2-1-12-1-1-221111-2-21111-1-12-1-122-2-2-2221-2-1-221-1-1-12-1-111-211111-2111-211-1-1-12-1-1-12-1-100000022-2-200000000-220000000000-1-1110000001-1
χ562-22-2-1222-211-222-2-2-1-2-1-12-1-1-221111-2-21111-1-12-1-122-2-2-2221-2-1-221-1-1-12-1-111-211111-2111-211-1-1-12-1-1-12-1-1000000-2-222000000002-2000000000011-1-1000000-11
χ572-2-2222200-22-2-2-2-22-222222200-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000002i−2i−2i2i002−2−22i2−i2−i2i22i−2i−2i2i0000000000002−2−22i2−i2−i2i20000
χ582-2-2222200-22-2-2-2-22-222222200-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000002i−2i−2i2i00−222−2−i2i2i2−i22i−2i−2i2i000000000000−222−2−i2i2i2−i20000
χ592-2-2222200-22-2-2-2-22-222222200-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000000−2i2i2i−2i002−2−22−i2i2i2−i2−2i2i2i−2i0000000000002−2−22−i2i2i2−i20000
χ602-2-2222200-22-2-2-2-22-222222200-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000000−2i2i2i−2i00−222−2i2−i2−i2i2−2i2i2i−2i000000000000−222−2i2−i2−i2i20000
χ6144444-24-4-444-2-244-244-24-2-2-200-2-244-2-2-2-2-2-2-24-2-2-22-4-40000-42-400002-42222-422200000000000000000000000000000000000000000000000000000000000000
χ6244444-2-24444-2-2-2-2-24-2-2-211144-2-2-2-2111111-2-2111-2-2-2-2-2-2-24-24-2-244-2-2111-2-2111-2-2-2111-2111-2-2-2111-2111000000000000000000000000000000000000000000
χ6344444-2-24444-2-2-2-2-24-2-2-2111-4-4-2-2-2-2111111-2-2111-2-2-222224-2422-4-4-2-2111-2-2111222-1-1-12-1-1-1222-1-1-12-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-444-2-2-2-2-24-2-2-211100-2-2-2-2111111-2-2111222−2i32i3−2i32i3-42-4000022-1-1-122-1-1-100−2i3i3i3i32i3−i3−i3−i300−2i3i3i3i32i3−i3−i3−i3000000000000000000000000000000000000000000
χ6544444-2-2-4-444-2-2-2-2-24-2-2-211100-2-2-2-2111111-2-21112222i3−2i32i3−2i3-42-4000022-1-1-122-1-1-1002i3−i3−i3−i3−2i3i3i3i3002i3−i3−i3−i3−2i3i3i3i3000000000000000000000000000000000000000000
χ664444-244-4-4-2-244444-24-2-24-2-200-2-2-2-244-2-2-2-2-2-24-2-2-4-4-400002-42000022-42222-42200000000000000000000000000000000000000000000000000000000000000
χ674444-24-244-2-244-2-24-2-2-21-21144-2-211-2-21111-21-2114-2-2-2-2-2-2-24-244-2-2-21-211-21-211-2-21-2111-211-2-21-2111-211000000000000000000000000000000000000000000
χ684444-24-244-2-244-2-24-2-2-21-211-4-4-2-211-2-21111-21-2114-2-22222-24-2-4-422-21-211-21-21122-12-1-1-12-1-122-12-1-1-12-1-1000000000000000000000000000000000000000000
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χ714444-2-2444-2-2-2-244-2-241-2-2114411-2-2-2-211111-2-211-2444444-2-2-2-2-2-2-21-2-2111-2-21111-2-211-2-21111-2-211-2-211000000000000000000000000000000000000000000
χ724444-2-2444-2-2-2-244-2-241-2-211-4-411-2-2-2-211111-2-211-244-4-4-4-4-2-2-222221-2-2111-2-211-1-122-1-122-1-1-1-122-1-122-1-1000000000000000000000000000000000000000000
χ734444-2-24-4-4-2-2-2-244-2-241-2-2110011-2-2-2-211111-2-2112-4-400002220000-122-1-1-122-1-13-3003-3003-33-3003-3003-3000000000000000000000000000000000000000000
χ744444-2-24-4-4-2-2-2-244-2-241-2-2110011-2-2-2-211111-2-2112-4-400002220000-122-1-1-122-1-1-3300-3300-33-3300-3300-33000000000000000000000000000000000000000000
χ754444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i321111−1−3i32−1+3i3211−1+3i32−1−3i321111−1−3i32−1+3i3211−1+3i32−1−3i32000000000000000000000000000000000000000000
χ764444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-22222-2-2-22222111−1−3i32−1+3i32111−1−3i32−1+3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32000000000000000000000000000000000000000000
χ774444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i321111−1+3i32−1−3i3211−1−3i32−1+3i321111−1+3i32−1−3i3211−1−3i32−1+3i32000000000000000000000000000000000000000000
χ784444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-22222-2-2-22222111−1+3i32−1−3i32111−1+3i32−1−3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222−2i32i3−2i32i32220000-1-1-11+3i321−3i32-1-1-11+3i321−3i323-3i3i3−3−i323−i32−i3−i3−3+i323+i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222i3−2i32i3−2i32220000-1-1-11+3i321−3i32-1-1-11+3i321−3i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32000000000000000000000000000000000000000000
χ814444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222−2i32i3−2i32i32220000-1-1-11−3i321+3i32-1-1-11−3i321+3i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32000000000000000000000000000000000000000000
χ824444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222i3−2i32i3−2i32220000-1-1-11−3i321+3i32-1-1-11−3i321+3i323-3−i3−i3−3+i323+i32i3i3−3−i323−i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32000000000000000000000000000000000000000000
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χ8744-4-4-24400-224-4-44-42-4-2-24-2-200-22-224-4-2-22222-4220000000000000000000000000000000000000000000000000022−2222−2200000000000000000000−22−2200000000
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χ904-44-44-2-24-4-4-42-2-22242-2-21114-42222-1-1-1-1-1-1-2-2111-2-22-2-222-424-224-4-2-211122-1-1-1-2-2-2111-2111222-1-1-12-1-1-1000000000000000000000000000000000000000000
χ914-44-44-2-24-4-4-42-2-22242-2-2111-442222-1-1-1-1-1-1-2-2111-2-2222-2-2-4242-2-44-2-211122-1-1-1222-1-1-12-1-1-1-2-2-2111-2111000000000000000000000000000000000000000000
χ924-44-44-2-2-44-4-42-2-22242-2-2111002222-1-1-1-1-1-1-2-211122-2−2i32i32i3−2i34-2-4000022-1-1-1-2-211100−2i3i3i3i32i3−i3−i3−i3002i3−i3−i3−i3−2i3i3i3i3000000000000000000000000000000000000000000
χ934-44-44-2-2-44-4-42-2-22242-2-2111002222-1-1-1-1-1-1-2-211122-22i3−2i3−2i32i34-2-4000022-1-1-1-2-2111002i3−i3−i3−i3−2i3i3i3i300−2i3i3i3i32i3−i3−i3−i3000000000000000000000000000000000000000000
χ944-44-4-244-4422-444-4-4-2-4-2-24-2-2002222-4-42222-2-24-2-2-4-440000-242000022-422-2-24-2-200000000000000000000000000000000000000000000000000000000000000
χ954-44-4-24-24-422-44-22-4-22-21-2114-422-1-122-1-1-1-1-21-2114-22-2-2222-4-24-4-22-21-2112-12-1-1-2-21-2111-21122-12-1-1-12-1-1000000000000000000000000000000000000000000
χ964-44-4-24-24-422-44-22-4-22-21-211-4422-1-122-1-1-1-1-21-2114-2222-2-22-4-2-442-2-21-2112-12-1-122-12-1-1-12-1-1-2-21-2111-211000000000000000000000000000000000000000000
χ974-44-4-24-2-4422-44-22-4-22-21-2110022-1-122-1-1-1-1-21-211-42-2−2i32i32i3−2i3-24200002-12-1-1-21-21100i3−2i3i3i3−i32i3−i3−i300−i32i3−i3−i3i3−2i3i3i3000000000000000000000000000000000000000000
χ984-44-4-24-2-4422-44-22-4-22-21-2110022-1-122-1-1-1-1-21-211-42-22i3−2i3−2i32i3-24200002-12-1-1-21-21100−i32i3−i3−i3i3−2i3i3i300i3−2i3i3i3−i32i3−i3−i3000000000000000000000000000000000000000000
χ994-44-4-2-244-4222-24-42-2-41-2-2114-4-1-12222-1-1-1-11-2-211-24-444-4-422-2-22-221-2-211-122-1-111-2-211-2-211-1-122-1-122-1-1000000000000000000000000000000000000000000
χ1004-44-4-2-244-4222-24-42-2-41-2-211-44-1-12222-1-1-1-11-2-211-24-4-4-44422-22-22-21-2-211-122-1-1-1-122-1-122-1-111-2-211-2-211000000000000000000000000000000000000000000
χ1014-44-4-2-24-44222-24-42-2-41-2-21100-1-12222-1-1-1-11-2-2112-440000-2-220000-122-1-11-2-2113-3003-3003-3-3300-3300-33000000000000000000000000000000000000000000
χ1024-44-4-2-24-44222-24-42-2-41-2-21100-1-12222-1-1-1-11-2-2112-440000-2-220000-122-1-11-2-211-3300-3300-333-3003-3003-3000000000000000000000000000000000000000000
χ1034-44-4-2-2-24-4222-2-222-22111−1−3i32−1+3i324-4-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-22-2-22222-2-22-22111−1−3i32−1+3i32-1-1-11+3i321−3i321111−1−3i32−1+3i3211−1+3i32−1−3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32000000000000000000000000000000000000000000
χ1044-44-4-2-2-24-4222-2-222-22111−1−3i32−1+3i32-44-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2222-2-222-22-22-2111−1−3i32−1+3i32-1-1-11+3i321−3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i321111−1−3i32−1+3i3211−1+3i32−1−3i32000000000000000000000000000000000000000000
χ1054-44-4-2-2-24-4222-2-222-22111−1+3i32−1−3i324-4-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-22-2-22222-2-22-22111−1+3i32−1−3i32-1-1-11−3i321+3i321111−1+3i32−1−3i3211−1−3i32−1+3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i32000000000000000000000000000000000000000000
χ1064-44-4-2-2-24-4222-2-222-22111−1+3i32−1−3i32-44-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2222-2-222-22-22-2111−1+3i32−1−3i32-1-1-11−3i321+3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i321111−1+3i32−1−3i3211−1−3i32−1+3i32000000000000000000000000000000000000000000
χ1074-44-4-2-2-2-44222-2-222-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-2−2i32i32i3−2i3-2-220000-1-1-11+3i321−3i32111−1−3i32−1+3i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32000000000000000000000000000000000000000000
χ1084-44-4-2-2-2-44222-2-222-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3222-22i3−2i3−2i32i3-2-220000-1-1-11+3i321−3i32111−1−3i32−1+3i32-33−i3−i33+i32−3+i32i3i33−i32−3−i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32000000000000000000000000000000000000000000
χ1094-44-4-2-2-2-44222-2-222-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-2−2i32i32i3−2i3-2-220000-1-1-11−3i321+3i32111−1+3i32−1−3i32-33i3i33−i32−3−i32−i3−i33+i32−3+i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32000000000000000000000000000000000000000000
χ1104-44-4-2-2-2-44222-2-222-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3222-22i3−2i3−2i32i3-2-220000-1-1-11−3i321+3i32111−1+3i32−1−3i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32000000000000000000000000000000000000000000
χ1114-4-4444-200-44-4-4224-4-24-2-2-2-200-442-22-222-2-2-42222000000000000000000000000000000000000000000004i−4i−4i4i0000000000−2i2i2i−2i000000000000000000000000
χ1124-4-4444-200-44-4-4224-4-24-2-2-2-200-442-22-222-2-2-4222200000000000000000000000000000000000000000000−4i4i4i−4i00000000002i−2i−2i2i000000000000000000000000
χ1134-4-444-2400-4422-4-4-2-44-24-2-2-2002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000−2i22i22i2−2i200000000000000000000i2−i2−i2i20000
χ1144-4-444-2400-4422-4-4-2-44-24-2-2-2002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000002i2−2i2−2i22i200000000000000000000−i2i2i2−i20000
χ1154-4-44-244002-2-4-4-4-4424-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000022−22−222200000000000000000000−222−200000000
χ1164-4-44-244002-2-4-4-4-4424-2-24-2-2002-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000−222222−22000000000000000000002−2−2200000000
χ11788-8-88-4-4008-8-444-44-84-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-400-448-84-4-844-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4800-44-44-8844-82-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-400-44-444-4444222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4-400-44-444-4444222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-888-4-400-884444-4-8-4-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-4-4-4004-44444-44-4222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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