Finite Group Databasebeta

← Group #13161986

Character table — Group #13161986

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order12223334466666666633333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212222244666688888888444444121212121212242424242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ611111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111111111-1-1-1-1-1-111
χ811111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1
χ91-11-11111-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1ii−i−iii−i−i1-1i−ii−i1-111-1-1ii−i−iii−i−ii−ii−i
χ101-11-11111-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-111-1-1−i−iii−i−iii1-1−ii−ii1-111-1-1−i−iii−i−iii−ii−ii
χ111-11-11111-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111ii−i−i−i−iii-11i−i−ii-11-1-111ii−i−i−i−iiii−i−ii
χ121-11-11111-1-1-1-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111−i−iiiii−i−i-11−iii−i-11-1-111−i−iiiii−i−i−iii−i
χ131-11-11111-1-1-1-1-111-1-1111111-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-111-1-1ii−i−iii−i−i-11−ii−ii1-1-1-111ii−i−iii−i−i−ii−ii
χ141-11-11111-1-1-1-1-111-1-1111111-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-111-1-1−i−iii−i−iii-11i−ii−i1-1-1-111−i−iii−i−iiii−ii−i
χ151-11-11111-1-1-1-1-111-1-1111111-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-1-111ii−i−i−i−iii1-1−iii−i-1111-1-1ii−i−i−i−iii−iii−i
χ161-11-11111-1-1-1-1-111-1-1111111-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-11-1-111−i−iiiii−i−i1-1i−i−ii-1111-1-1−i−iiiii−i−ii−i−ii
χ172222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-2000000000000000000002222-2-2222200000000000000-2-20000000000000000
χ182222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-2-222-2-2-2-200000000000000220000000000000000
χ19222222-12222-1-12222-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-12222222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-1-1-1-100000000220000-1-1-1-1-1-1000000000000
χ20222222-12222-1-12222-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-12222222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2111100000000-2-20000111111000000000000
χ21222222-12222-1-12222-12-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-1111122-2-2-2-22-1-1-1-12-1-1-1-1-2-211111111-2-211111111222222-1-1-1-100000000-2-20000-1-11111000000000000
χ22222222-12222-1-12222-12-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-1111122-2-2-2-22-1-1-1-12-1-1-1-1-2-211111111-2-211111111-2-2-2-2-2-211110000000022000011-1-1-1-1000000000000
χ23222222-1-2-222-1-12222-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211−i3i3−i3i3-2-20000-21111-2111100−i3−i3−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3i3i32222-2-2-1-1-1-10000000000000011−i3i3−i3i3000000000000
χ24222222-1-2-222-1-12222-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211−i3i3−i3i3-2-20000-21111-2111100−i3−i3−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3i3i3-2-2-2-222111100000000000000-1-1i3−i3i3−i3000000000000
χ25222222-1-2-222-1-12222-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211i3−i3i3−i3-2-20000-21111-2111100i3i3i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3−i3−i32222-2-2-1-1-1-10000000000000011i3−i3i3−i3000000000000
χ26222222-1-2-222-1-12222-12-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211i3−i3i3−i3-2-20000-21111-2111100i3i3i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3−i3−i3-2-2-2-222111100000000000000-1-1−i3i3−i3i3000000000000
χ2722222-12222-1222-12-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-12222222-12-12-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-10000000000000022220000220000000000-1-1-1-100-1-1
χ2822222-12222-1222-12-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-12222222-12-12-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-100000000000000-2-2-2-20000-2-2000000000011110011
χ2922222-12222-1222-12-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12-122-2-2-2-22-1-21-21-12-1-1-1-12-1-1-111-2111-211111-2111-21110000000000000022220000-2-20000000000-1-1-1-10011
χ3022222-12222-1222-12-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12-122-2-2-2-22-1-21-21-12-1-1-1-12-1-1-111-2111-211111-2111-211100000000000000-2-2-2-20000220000000000111100-1-1
χ312222-12222-1222-12-122-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-12222222-12-12-12-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1000000000022220000002200000000-1-1-1-10000-1-100
χ322222-12222-1222-12-122-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-12222222-12-12-12-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-10000000000-2-2-2-2000000-2-200000000111100001100
χ332222-12222-1222-12-122-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-2-121-21-2-1-12-1-1-1-12-1-1111-2111-211111-2111-21100000000002222000000-2-200000000-1-1-1-100001100
χ342222-12222-1222-12-122-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-2-121-21-2-1-12-1-1-1-12-1-1111-2111-211111-2111-2110000000000-2-2-2-2000000220000000011110000-1-100
χ3522-2-222200222-2-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-22-2002-22-22−22−22−22−20000000000002−22−22−22−20000
χ3622-2-222200222-2-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000002-22-2002-22-2−22−22−22−22000000000000−22−22−22−220000
χ3722-2-222200222-2-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22-2200-22-222−22−2−22−220000000000002−22−2−22−220000
χ3822-2-222200222-2-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-22-2200-22-22−22−222−22−2000000000000−22−222−22−20000
χ392-22-2222-22-2-2-2-222-2-222222200-2-2-2-2-2-2-2-2-2-222222-2-2-220000220000-2-2-2-2-2222220000000000000000000022-2-2-2222-2-200000000000000-220000000000000000
χ402-22-2222-22-2-2-2-222-2-222222200-2-2-2-2-2-2-2-2-2-222222-2-2-220000220000-2-2-2-2-22222200000000000000000000-2-2222-2-2-222000000000000002-20000000000000000
χ412-22-222-12-2-2-21122-2-2-12-1-1-1-12-2-2-2111111112-1-1-1-122-11-1-111-2-222-2-22-1-1-1-1-2111122-1-1-1-1-1-1-1-1-2-21111111122-2-22-2-1-111000000002-20000-11-1-111000000000000
χ422-22-222-12-2-2-21122-2-2-12-1-1-1-12-2-2-2111111112-1-1-1-122-11-1-111-2-222-2-22-1-1-1-1-2111122-1-1-1-1-1-1-1-1-2-211111111-2-222-2211-1-100000000-2200001-111-1-1000000000000
χ432-22-222-12-2-2-21122-2-2-12-1-1-1-1-22-2-2111111112-1-1-1-122-1111-1-1-2-2-2-2222-1-1-1-1-21111-2-21111111122-1-1-1-1-1-1-1-122-2-22-2-1-11100000000-220000-1111-1-1000000000000
χ442-22-222-12-2-2-21122-2-2-12-1-1-1-1-22-2-2111111112-1-1-1-122-1111-1-1-2-2-2-2222-1-1-1-1-21111-2-21111111122-1-1-1-1-1-1-1-1-2-222-2211-1-1000000002-200001-1-1-111000000000000
χ452-22-222-1-22-2-21122-2-2-12-1-1-1-100-2-2111111112-1-1-1-1-2-21-1−i3i3i3−i3220000-211112-1-1-1-100−i3−i3−i3−i3i3i3i3i300i3i3i3i3−i3−i3−i3−i322-2-2-22-1-111000000000000001-1−i3i3i3−i3000000000000
χ462-22-222-1-22-2-21122-2-2-12-1-1-1-100-2-2111111112-1-1-1-1-2-21-1−i3i3i3−i3220000-211112-1-1-1-100−i3−i3−i3−i3i3i3i3i300i3i3i3i3−i3−i3−i3−i3-2-2222-211-1-100000000000000-11i3−i3−i3i3000000000000
χ472-22-222-1-22-2-21122-2-2-12-1-1-1-100-2-2111111112-1-1-1-1-2-21-1i3−i3−i3i3220000-211112-1-1-1-100i3i3i3i3−i3−i3−i3−i300−i3−i3−i3−i3i3i3i3i322-2-2-22-1-111000000000000001-1i3−i3−i3i3000000000000
χ482-22-222-1-22-2-21122-2-2-12-1-1-1-100-2-2111111112-1-1-1-1-2-21-1i3−i3−i3i3220000-211112-1-1-1-100i3i3i3i3−i3−i3−i3−i300−i3−i3−i3−i3i3i3i3i3-2-2222-211-1-100000000000000-11−i3i3i3−i3000000000000
χ492-22-22-122-2-21-2-22-1-212-12-1-1-12-211-2-2111111-12-1-1-12-12-222-2-2-212-1-21-12-1-1-11-2111-1-12-1-1-12-1-1-111-2111-2111000000000000002i2i−2i−2i00002i−2i0000000000−i−iii00−ii
χ502-22-22-122-2-21-2-22-1-212-12-1-1-12-211-2-2111111-12-1-1-12-12-222-2-2-212-1-21-12-1-1-11-2111-1-12-1-1-12-1-1-111-2111-211100000000000000−2i−2i2i2i0000−2i2i0000000000ii−i−i00i−i
χ512-22-22-122-2-21-2-22-1-212-12-1-1-1-2211-2-2111111-12-1-1-12-12-2-2-222-21-212-1-12-1-1-11-211111-2111-2111-1-12-1-1-12-1-1-1000000000000002i2i−2i−2i0000−2i2i0000000000−i−iii00i−i
χ522-22-22-122-2-21-2-22-1-212-12-1-1-1-2211-2-2111111-12-1-1-12-12-2-2-222-21-212-1-12-1-1-11-211111-2111-2111-1-12-1-1-12-1-1-100000000000000−2i−2i2i2i00002i−2i0000000000ii−i−i00−ii
χ532-22-2-1222-21-2-2-2-121-22-1-12-1-12-21111-2-21111-1-12-1-1-122-222-2-21-2-121-2-1-12-1-111-211-1-1-12-1-1-12-1-1111-2111-21100000000002i2i−2i−2i0000002i−2i00000000−i−iii0000−ii00
χ542-22-2-1222-21-2-2-2-121-22-1-12-1-12-21111-2-21111-1-12-1-1-122-222-2-21-2-121-2-1-12-1-111-211-1-1-12-1-1-12-1-1111-2111-2110000000000−2i−2i2i2i000000−2i2i00000000ii−i−i0000i−i00
χ552-22-2-1222-21-2-2-2-121-22-1-12-1-1-221111-2-21111-1-12-1-1-122-2-2-2221-21-2-12-1-12-1-111-211111-2111-211-1-1-12-1-1-12-1-100000000002i2i−2i−2i000000−2i2i00000000−i−iii0000i−i00
χ562-22-2-1222-21-2-2-2-121-22-1-12-1-1-221111-2-21111-1-12-1-1-122-2-2-2221-21-2-12-1-12-1-111-211111-2111-211-1-1-12-1-1-12-1-10000000000−2i−2i2i2i0000002i−2i00000000ii−i−i0000−ii00
χ572-2-2222200-2-2-22-2-222-22222200-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000002-2-22002-2-22−i2i2i2−i2−i2i2i2−i2000000000000−i2i2i2−i2−i2i2i2−i20000
χ582-2-2222200-2-2-22-2-222-22222200-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000002-2-22002-2-22i2−i2−i2i2i2−i2−i2i2000000000000i2−i2−i2i2i2−i2−i2i20000
χ592-2-2222200-2-2-22-2-222-22222200-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000000-222-200-222-2−i2i2i2−i2i2−i2−i2i2000000000000−i2i2i2−i2i2−i2−i2i20000
χ602-2-2222200-2-2-22-2-222-22222200-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000000-222-200-222-2i2−i2−i2i2−i2i2i2−i2000000000000i2−i2−i2i2−i2i2i2−i20000
χ6144444-24-4-44-2444-24-24-24-2-2-200-2-244-2-2-2-2-2-2-24-2-2-2-42-4-40000-4200002-42222-422200000000000000000000000000000000000000000000000000000000000000
χ6244444-2-2444-2-2-24-24-2-2-2-211144-2-2-2-2111111-2-21114-2-2-2-2-2-2-24-24-24-2-2-2111-2-2111-2-2-2111-2111-2-2-2111-2111000000000000000000000000000000000000000000
χ6344444-2-2444-2-2-24-24-2-2-2-2111-4-4-2-2-2-2111111-2-21114-2-2-222224-2-42-42-2-2111-2-2111222-1-1-12-1-1-1222-1-1-12-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-44-2-2-24-24-2-2-2-211100-2-2-2-2111111-2-2111-4222−2i32i3−2i32i3-42000022-1-1-122-1-1-100−2i3i3i3i32i3−i3−i3−i300−2i3i3i3i32i3−i3−i3−i3000000000000000000000000000000000000000000
χ6544444-2-2-4-44-2-2-24-24-2-2-2-211100-2-2-2-2111111-2-2111-42222i3−2i32i3−2i3-42000022-1-1-122-1-1-1002i3−i3−i3−i3−2i3i3i3i3002i3−i3−i3−i3−2i3i3i3i3000000000000000000000000000000000000000000
χ664444-244-4-4-2444-24-244-2-24-2-200-2-2-2-244-2-2-2-2-2-24-2-22-4-4-400002-4000022-42222-42200000000000000000000000000000000000000000000000000000000000000
χ674444-24-244-24-2-2-24-24-2-21-21144-2-211-2-21111-21-211-24-2-2-2-2-2-2-24-24-24-21-211-21-211-2-21-2111-211-2-21-2111-211000000000000000000000000000000000000000000
χ684444-24-244-24-2-2-24-24-2-21-211-4-4-2-211-2-21111-21-211-24-2-22222-242-42-4-21-211-21-21122-12-1-1-12-1-122-12-1-1-12-1-1000000000000000000000000000000000000000000
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χ714444-2-2444-2-244-2-2-2-241-2-2114411-2-2-2-211111-2-211-2-2444444-2-2-2-2-2-21-2-2111-2-21111-2-211-2-21111-2-211-2-211000000000000000000000000000000000000000000
χ724444-2-2444-2-244-2-2-2-241-2-211-4-411-2-2-2-211111-2-211-2-244-4-4-4-4-2-222221-2-2111-2-211-1-122-1-122-1-1-1-122-1-122-1-1000000000000000000000000000000000000000000
χ734444-2-24-4-4-2-244-2-2-2-241-2-2110011-2-2-2-211111-2-21122-4-40000220000-122-1-1-122-1-13-3003-3003-33-3003-3003-3000000000000000000000000000000000000000000
χ744444-2-24-4-4-2-244-2-2-2-241-2-2110011-2-2-2-211111-2-21122-4-40000220000-122-1-1-122-1-1-3300-3300-33-3300-3300-33000000000000000000000000000000000000000000
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+3i32-2-2-2-22222-2-22222111−1−3i32−1+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+3i32−1−3i32-2-2-2-22222-2-22222111−1+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+3i322222−2i32i3−2i32i3220000-1-1-11+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+3i3222222i3−2i32i3−2i3220000-1-1-11+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+3i32−1−3i322222−2i32i3−2i32i3220000-1-1-11−3i321+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+3i32−1−3i3222222i3−2i32i3−2i3220000-1-1-11−3i321+3i32-1-1-11−3i321+3i323-3−i3−i3−3+i323+i32i3i3−3−i323−i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32000000000000000000000000000000000000000000
χ8344-4-444-20044-22-4-4-4-424-2-2-2-2004-4-22-22-2-222-42222000000000000000000000000000000000000000000004-44-400-22-2200000000000000000000000000000000
χ8444-4-444-20044-22-4-4-4-424-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000-44-44002-22-200000000000000000000000000000000
χ8544-4-44-24004-24-4-42-42-4-24-2-2-200-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000000000000022−2222−220000000000000000−22−220000
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χ8744-4-4-24400-244-42-42-4-4-2-24-2-200-22-224-4-2-22222-42200000000000000000000000000000000000000000000000000000022−2222−220000000000000000−22−2200000000
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χ904-44-44-2-24-4-42224-2-42-2-2-21114-42222-1-1-1-1-1-1-2-21114-2-22-2-222-424-2-42-2-211122-1-1-1-2-2-2111-2111222-1-1-12-1-1-1000000000000000000000000000000000000000000
χ914-44-44-2-24-4-42224-2-42-2-2-2111-442222-1-1-1-1-1-1-2-21114-2-2222-2-2-42-424-2-2-211122-1-1-1222-1-1-12-1-1-1-2-2-2111-2111000000000000000000000000000000000000000000
χ924-44-44-2-2-44-42224-2-42-2-2-2111002222-1-1-1-1-1-1-2-2111-422-2−2i32i32i3−2i34-2000022-1-1-1-2-211100−2i3i3i3i32i3−i3−i3−i3002i3−i3−i3−i3−2i3i3i3i3000000000000000000000000000000000000000000
χ934-44-44-2-2-44-42224-2-42-2-2-2111002222-1-1-1-1-1-1-2-2111-422-22i3−2i3−2i32i34-2000022-1-1-1-2-2111002i3−i3−i3−i3−2i3i3i3i300−2i3i3i3i32i3−i3−i3−i3000000000000000000000000000000000000000000
χ944-44-4-244-442-4-4-4-242-44-2-24-2-2002222-4-42222-2-24-2-22-4-440000-24000022-422-2-24-2-200000000000000000000000000000000000000000000000000000000000000
χ954-44-4-24-24-42-422-242-4-2-21-2114-422-1-122-1-1-1-1-21-211-24-22-2-2222-4-242-4-21-2112-12-1-1-2-21-2111-21122-12-1-1-12-1-1000000000000000000000000000000000000000000
χ964-44-4-24-24-42-422-242-4-2-21-211-4422-1-122-1-1-1-1-21-211-24-2222-2-22-42-4-24-21-2112-12-1-122-12-1-1-12-1-1-2-21-2111-211000000000000000000000000000000000000000000
χ974-44-4-24-2-442-422-242-4-2-21-2110022-1-122-1-1-1-1-21-2112-42-2−2i32i32i3−2i3-2400002-12-1-1-21-21100i3−2i3i3i3−i32i3−i3−i300−i32i3−i3−i3i3−2i3i3i3000000000000000000000000000000000000000000
χ984-44-4-24-2-442-422-242-4-2-21-2110022-1-122-1-1-1-1-21-2112-42-22i3−2i3−2i32i3-2400002-12-1-1-21-21100−i32i3−i3−i3i3−2i3i3i300i3−2i3i3i3−i32i3−i3−i3000000000000000000000000000000000000000000
χ994-44-4-2-244-422-4-4-2-22241-2-2114-4-1-12222-1-1-1-11-2-211-2-24-444-4-422-2-2221-2-211-122-1-111-2-211-2-211-1-122-1-122-1-1000000000000000000000000000000000000000000
χ1004-44-4-2-244-422-4-4-2-22241-2-211-44-1-12222-1-1-1-11-2-211-2-24-4-4-4442222-2-21-2-211-122-1-1-1-122-1-122-1-111-2-211-2-211000000000000000000000000000000000000000000
χ1014-44-4-2-24-4422-4-4-2-22241-2-21100-1-12222-1-1-1-11-2-21122-440000-2-20000-122-1-11-2-2113-3003-3003-3-3300-3300-33000000000000000000000000000000000000000000
χ1024-44-4-2-24-4422-4-4-2-22241-2-21100-1-12222-1-1-1-11-2-21122-440000-2-20000-122-1-11-2-211-3300-3300-333-3003-3003-3000000000000000000000000000000000000000000
χ1034-44-4-2-2-24-42222-2-222-2111−1−3i32−1+3i324-4-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2-22-2-22222-2-222111−1−3i32−1+3i32-1-1-11+3i321−3i321111−1−3i32−1+3i3211−1+3i32−1−3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32000000000000000000000000000000000000000000
χ1044-44-4-2-2-24-42222-2-222-2111−1−3i32−1+3i32-44-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-2-2-2222-2-22222-2-2111−1−3i32−1+3i32-1-1-11+3i321−3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i321111−1−3i32−1+3i3211−1+3i32−1−3i32000000000000000000000000000000000000000000
χ1054-44-4-2-2-24-42222-2-222-2111−1+3i32−1−3i324-4-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2-22-2-22222-2-222111−1+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
χ1064-44-4-2-2-24-42222-2-222-2111−1+3i32−1−3i32-44-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-2-2-2222-2-22222-2-2111−1+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
χ1074-44-4-2-2-2-442222-2-222-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32222-2−2i32i32i3−2i3-2-20000-1-1-11+3i321−3i32111−1−3i32−1+3i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32000000000000000000000000000000000000000000
χ1084-44-4-2-2-2-442222-2-222-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32222-22i3−2i3−2i32i3-2-20000-1-1-11+3i321−3i32111−1−3i32−1+3i32-33−i3−i33+i32−3+i32i3i33−i32−3−i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32000000000000000000000000000000000000000000
χ1094-44-4-2-2-2-442222-2-222-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32222-2−2i32i32i3−2i3-2-20000-1-1-11−3i321+3i32111−1+3i32−1−3i32-33i3i33−i32−3−i32−i3−i33+i32−3+i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32000000000000000000000000000000000000000000
χ1104-44-4-2-2-2-442222-2-222-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32222-22i3−2i3−2i32i3-2-20000-1-1-11−3i321+3i32111−1+3i32−1−3i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32000000000000000000000000000000000000000000
χ1114-4-4444-200-4-42-2-4-44424-2-2-2-200-442-22-222-2-2-42222000000000000000000000000000000000000000000004-4-4400-222-200000000000000000000000000000000
χ1124-4-4444-200-4-42-2-4-44424-2-2-2-200-442-22-222-2-2-4222200000000000000000000000000000000000000000000-444-4002-2-2200000000000000000000000000000000
χ1134-4-444-2400-42-44-424-2-4-24-2-2-2002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i20000000000000000i2−i2−i2i20000
χ1144-4-444-2400-42-44-424-2-4-24-2-2-2002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000−i2i2i2−i20000
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χ11788-8-88-4-4008-4-44-84-844-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-400-48-444-84-84-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-4800-4-48-84444-82-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-400-4-4-4444444222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4-400-4-4-4444444222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1268-8-88-4-4-400444-444-4-44222−1+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).