Finite Group Databasebeta

← Group #13156713

Character table — Group #13156713

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111111122222222222222222222222244444444444444444444444466666666666666666666666688888888121212121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181818181818363636363636363636363636108108
order122222223336666666666666666666663336666666666666666666662222222266666666666666663666666644666666666666666666666666121212121212121212121212121212122222666666664444121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1
χ91111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1i−i11-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1i−ii−iii−i−iii−i−ii−i
χ101111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii11-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−ii
χ111111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1i−i11-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111i−i−iiii−i−i−i−iii−ii
χ121111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1−ii11-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111−iii−i−i−iiiii−i−ii−i
χ131111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1i−i-1-11111-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1-1-11111−iii−i−i−iiiii−i−i−ii
χ141111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1−ii-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1-1-11111i−i−iiii−i−i−i−iiii−i
χ151111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i-1-111-1-111-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-1−ii−ii−i−iii−i−iiii−i
χ161111-1-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1−ii-1-111-1-111-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-1i−ii−iii−i−iii−i−i−ii
χ172222222222-12222222222-1-1-1-1-1-1-122222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-100000000000000
χ182222222222-12222222222-1-1-1-1-1-1-122222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1002222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000-2-2-2-21111111100000000000000
χ192222222222-12222222222-1-1-1-1-1-1-122222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111111100000000000000
χ202222222222-12222222222-1-1-1-1-1-1-122222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-2111111111111111100000000000000002222-1-1-1-1-1-1-1-100000000000000
χ21222222222-12222-1-1-122-1-122222222-12-1-12-1-1-1-1-1-1-1222-1-1-12222-1-1-1-1-1000022220000000022222222-1-1-1-1-1-1-1-1220000-1-1-1-100000000-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100000000000000220000-1-1-1-100
χ22222222222-12222-1-1-122-1-122222222-12-1-12-1-1-1-1-1-1-1222-1-1-12222-1-1-1-1-1000022220000000022222222-1-1-1-1-1-1-1-1-2-20000-1-1-1-100000000-1-1-1-1-1-1-1-1-2-211-2-2111111111100000000000000-2-20000111100
χ23222222222-12222-1-1-122-1-122222222-12-1-12-1-1-1-1-1-1-1222-1-1-12222-1-1-1-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12200001111000000001111111122-1-122-1-1-1-1-1-1-1-1-1-100000000000000-2-20000111100
χ24222222222-12222-1-1-122-1-122222222-12-1-12-1-1-1-1-1-1-1222-1-1-12222-1-1-1-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2000011110000000011111111-2-211-2-2111111111100000000000000220000-1-1-1-100
χ2522222222-122-1-1-1222-1-1222222222-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1222200002222222200000000-1-1-1-1-1-1-1-122-1-1-1-10000-1-1-1-1-1-1-1-100000000-1-122-1-122-1-1-1-1-1-1-1-10000000000002200-1-1-1-1000000
χ2622222222-122-1-1-1222-1-1222222222-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1222200002222222200000000-1-1-1-1-1-1-1-1-2-2-1-1-1-10000-1-1-1-1-1-1-1-10000000011-2-211-2-211111111000000000000-2-2001111000000
χ2722222222-122-1-1-1222-1-1222222222-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-122111100001111111100000000-1-122-1-122-1-1-1-1-1-1-1-1000000000000-2-2001111000000
χ2822222222-122-1-1-1222-1-1222222222-12-12-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-12222-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-2-211110000111111110000000011-2-211-2-2111111110000000000002200-1-1-1-1000000
χ292222-2-2-2-222-1222222-2-2-2-2-1-1-11111-2-2-2-22-1-1222-2-2-2-1-1-1-1-1-111111111-222-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110022-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000022-2-2-1-1-1-1111100000000000000
χ302222-2-2-2-222-1222222-2-2-2-2-1-1-11111-2-2-2-22-1-1222-2-2-2-1-1-1-1-1-111111111-222-2-2-2-222-1-1-1-111111111-1-1-1-1-1-1-1-111110022-2-2-2-222-1-1-1-111111111-1-1-1-10000000000000000-2-2221111-1-1-1-100000000000000
χ312222-2-2-2-222-1222222-2-2-2-2-1-1-11111-2-2-2-22-1-1222-2-2-2-1-1-1-1-1-111111111-2-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1111100-2-22222-2-21111-1-1-1-1-1-1-1-111110000000000000000-2-2221111-1-1-1-100000000000000
χ322222-2-2-2-222-1222222-2-2-2-2-1-1-11111-2-2-2-22-1-1222-2-2-2-1-1-1-1-1-111111111-2-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1111100-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000022-2-2-1-1-1-1111100000000000000
χ332222-2-2-2-22-12222-1-1-1-2-211222-2-2-2-2-21-21-12-1-1-1-1111222-1-1-1-2-2-2-211111000022-2-2000000002222-2-2-2-2-1-1-1-111112i−2i0000-1-11100000000-1-1-1-111112i2i−i−i−2i−2iii−i−i−i−iiiii000000000000002i−2i0000−i−iii00
χ342222-2-2-2-22-12222-1-1-1-2-211222-2-2-2-2-21-21-12-1-1-1-1111222-1-1-1-2-2-2-211111000022-2-2000000002222-2-2-2-2-1-1-1-11111−2i2i0000-1-11100000000-1-1-1-11111−2i−2iii2i2i−i−iiiii−i−i−i−i00000000000000−2i2i0000ii−i−i00
χ352222-2-2-2-22-12222-1-1-1-2-211222-2-2-2-2-21-21-12-1-1-1-1111222-1-1-1-2-2-2-2111110000-2-22200000000-2-2-2-22222-1-1-1-111112i−2i000011-1-1000000001111-1-1-1-12i2i−i−i−2i−2iii−i−i−i−iiiii00000000000000−2i2i0000ii−i−i00
χ362222-2-2-2-22-12222-1-1-1-2-211222-2-2-2-2-21-21-12-1-1-1-1111222-1-1-1-2-2-2-2111110000-2-22200000000-2-2-2-22222-1-1-1-11111−2i2i000011-1-1000000001111-1-1-1-1−2i−2iii2i2i−i−iiiii−i−i−i−i000000000000002i−2i0000−i−iii00
χ372222-2-2-2-2-122-1-1-122211-2-2222-2-2-2-21-21-2-1-12-1-1-1111-1-1-12221111-2-2-2-2122-2-200002222-2-2-2-200000000-1-1-1-111112i−2i-1-1110000-1-1-1-1111100000000−i−i2i2iii−2i−2i−i−i−i−iiiii0000000000002i−2i00−i−iii000000
χ382222-2-2-2-2-122-1-1-122211-2-2222-2-2-2-21-21-2-1-12-1-1-1111-1-1-12221111-2-2-2-2122-2-200002222-2-2-2-200000000-1-1-1-11111−2i2i-1-1110000-1-1-1-1111100000000ii−2i−2i−i−i2i2iiiii−i−i−i−i000000000000−2i2i00ii−i−i000000
χ392222-2-2-2-2-122-1-1-122211-2-2222-2-2-2-21-21-2-1-12-1-1-1111-1-1-12221111-2-2-2-21-2-2220000-2-2-2-2222200000000-1-1-1-111112i−2i11-1-100001111-1-1-1-100000000−i−i2i2iii−2i−2i−i−i−i−iiiii000000000000−2i2i00ii−i−i000000
χ402222-2-2-2-2-122-1-1-122211-2-2222-2-2-2-21-21-2-1-12-1-1-1111-1-1-12221111-2-2-2-21-2-2220000-2-2-2-2222200000000-1-1-1-11111−2i2i11-1-100001111-1-1-1-100000000ii−2i−2i−i−i2i2iiiii−i−i−i−i0000000000002i−2i00−i−iii000000
χ4122-2-222-2-22222-2-22-2-22-2-2-22-2-222-2-222-222222-2-22-2-22-2-22-2-222-2-222-2-2200002-22-20000000022-2-222-2-222-2-222-2-20000002-22-20000000022-2-222-2-2000000000000000000000000000000000000000000
χ4222-2-222-2-22222-2-22-2-22-2-2-22-2-222-2-222-222222-2-22-2-22-2-22-2-222-2-222-2-220000-22-2200000000-2-222-2-22222-2-222-2-2000000-22-2200000000-2-222-2-222000000000000000000000000000000000000000000
χ4322-2-222-2-222-12-2-22-2-22-2-2-2-111-1-11122-222-1-12-2-22-2-2-111-111-1-111-1-111200002-22-2−i3−i3i3i3−i3−i3i3i3-1-111-1-111-1-111-1-1110000002-22-2−i3−i3i3i3−i3−i3i3i3-1-111-1-11100000000000000000000−i3−i3i3i3−i3−i3i3i300000000000000
χ4422-2-222-2-222-12-2-22-2-22-2-2-2-111-1-11122-222-1-12-2-22-2-2-111-111-1-111-1-111200002-22-2i3i3−i3−i3i3i3−i3−i3-1-111-1-111-1-111-1-1110000002-22-2i3i3−i3−i3i3i3−i3−i3-1-111-1-11100000000000000000000i3i3−i3−i3i3i3−i3−i300000000000000
χ4522-2-222-2-222-12-2-22-2-22-2-2-2-111-1-11122-222-1-12-2-22-2-2-111-111-1-111-1-11120000-22-22−i3−i3i3i3−i3−i3i3i311-1-111-1-1-1-111-1-111000000-22-22−i3−i3i3i3−i3−i3i3i311-1-111-1-100000000000000000000i3i3−i3−i3i3i3−i3−i300000000000000
χ4622-2-222-2-222-12-2-22-2-22-2-2-2-111-1-11122-222-1-12-2-22-2-2-111-111-1-111-1-11120000-22-22i3i3−i3−i3i3i3−i3−i311-1-111-1-1-1-111-1-111000000-22-22i3i3−i3−i3i3i3−i3−i311-1-111-1-100000000000000000000−i3−i3i3i3−i3−i3i3i300000000000000
χ4722-2-222-2-22-122-2-2-1112-2112-2-222-2-22-1-2-1-12-1-111-1112-2-2-11122-2-2-1-111-100002-22-20000000022-2-222-2-2-1-111-1-111000000-11-1100000000-1-111-1-11100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000−i3i3−i3i300
χ4822-2-222-2-22-122-2-2-1112-2112-2-222-2-22-1-2-1-12-1-111-1112-2-2-11122-2-2-1-111-100002-22-20000000022-2-222-2-2-1-111-1-111000000-11-1100000000-1-111-1-11100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000i3−i3i3−i300
χ4922-2-222-2-22-122-2-2-1112-2112-2-222-2-22-1-2-1-12-1-111-1112-2-2-11122-2-2-1-111-10000-22-2200000000-2-222-2-222-1-111-1-1110000001-11-10000000011-1-111-1-100−i3i300−i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000i3−i3i3−i300
χ5022-2-222-2-22-122-2-2-1112-2112-2-222-2-22-1-2-1-12-1-111-1112-2-2-11122-2-2-1-111-10000-22-2200000000-2-222-2-222-1-111-1-1110000001-11-10000000011-1-111-1-100i3−i300i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000−i3i3−i3i300
χ5122-2-2-2-2222222-2-22-2-2-22222-2-2-2-222-2-22-22222-2-2-2222-2-22-2-2-2-222-2-222-200002-2-220000000022-2-2-2-22222-2-2-2-2220000002-2-220000000022-2-2-2-222000000000000000000000000000000000000000000
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χ1194-44-44-44-44-24-44-42-22-4-4-22-44-44-44-44-242-24-22-222-22-44-42-224-44-4-22-22-2000000000000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000000000000000
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χ1214-44-44-44-44-2-2-44-42-22-4-4-222-22-22-224-242-2-212-222-222-22-11-1-22-221-11-1-200000000000000002i3−2i32i3−2i32i3−2i32i3−2i31-11-11-11-1000000000000000000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1224-44-44-44-4-24-22-22-44-4224-42-22-22-22-24-2-4-21-22-222-22-11-12-221-11-1-22-22-24-44-40000-22-22-22-22000000001-11-11-11-100-22-2200001-11-11-11-100000000000000000000000000000000000000000000000000
χ1234-44-44-44-4-24-22-22-44-4224-42-22-22-22-24-2-4-21-22-222-22-11-12-221-11-1-22-22-2-44-4400002-22-22-22-2000000001-11-11-11-1002-22-20000-11-11-11-1100000000000000000000000000000000000000000000000000
χ1244-44-44-44-4-2-242-222-2222-22-44-44-44-4-2-2-221-2-2-11-1-11-12-222-22-22-22-22-2210000000000000000000000001-11-11-11-100000000000000000000000000−2i32i300−2i32i300i3−i3i3−i3i3−i3i3−i300000000000000000000000000
χ1254-44-44-44-4-2-242-222-2222-22-44-44-44-4-2-2-221-2-2-11-1-11-12-222-22-22-22-22-2210000000000000000000000001-11-11-11-1000000000000000000000000002i3−2i3002i3−2i300−i3i3−i3i3−i3i3−i3i300000000000000000000000000
χ1264-44-4-44-444-24-44-42-22442-2-44-4-44-44-42-4-2-24-22-22-22-2-44-42-22-44-442-22-22000000000000000000000000-22-222-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1274-44-4-44-444-2-2-44-42-22442-22-222-22-2-42-4-2-2-212-22-22-22-22-11-12-22-2-11-1120000000000000000−2i32i3−2i32i32i3−2i32i3−2i31-11-1-11-11000000000000000000i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1284-44-4-44-444-2-2-44-42-22442-22-222-22-2-42-4-2-2-212-22-22-22-22-11-12-22-2-11-11200000000000000002i3−2i32i3−2i3−2i32i3−2i32i31-11-1-11-11000000000000000000−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1294-44-4-44-44-24-22-22-44-4-2-2-442-222-22-22-424-21-22-22-22-2-11-12-22-11-112-22-224-4-440000-22-222-22-2000000001-11-1-11-1100-222-200001-11-1-11-1100000000000000000000000000000000000000000000000000
χ1304-44-4-44-44-24-22-22-44-4-2-2-442-222-22-22-424-21-22-22-22-2-11-12-22-11-112-22-22-444-400002-22-2-22-22000000001-11-1-11-11002-2-220000-11-111-11-100000000000000000000000000000000000000000000000000
χ1314-44-4-44-44-2-242-222-22-2-22-2-44-4-44-44222-21-2-2-11-11-112-222-222-22-22-22-2-10000000000000000000000001-11-1-11-110000000000000000000000000023−2300−232300−33−333−33−300000000000000000000000000
χ1324-44-4-44-44-2-242-222-22-2-22-2-44-4-44-44222-21-2-2-11-11-112-222-222-22-22-22-2-10000000000000000000000001-11-1-11-1100000000000000000000000000−23230023−23003−33−3−33−3300000000000000000000000000
χ1334-4-444-4-444-24-4-4422-2-442-2-4-444-4-444-2-42-24-222-222-2-4-4422-24-4-44-222-2-2000000000000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-444-4-444-2-2-4-4422-2-442-222-2-222-24-2-42-2-2122-222-222-2-1-11-222-21-1-11-20000000000000000−2i32i32i3−2i3−2i32i32i3−2i31-1-111-1-11000000000000000000i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1354-4-444-4-444-2-2-4-4422-2-442-222-2-222-24-2-42-2-2122-222-222-2-1-11-222-21-1-11-200000000000000002i3−2i3−2i32i32i3−2i3−2i32i31-1-111-1-11000000000000000000−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000
χ1364-4-444-4-44-24422-2-4-442-2-44-4-444-4-44-242-4-2-2422-222-222-2-4-44-222-24-4-44-2000000000000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-444-4-44-24-222-2-4-442-2-4422-2-222-2-242-4-21-222-222-2-1-1122-21-1-11-222-2-200000000−2i32i32i3−2i3−2i32i32i3−2i3000000001-1-111-1-110000000000i3−i3−i3i3i3−i3−i3i300000000000000000000000000000000000000000000000000
χ1384-4-444-4-44-24-222-2-4-442-2-4422-2-222-2-242-4-21-222-222-2-1-1122-21-1-11-222-2-2000000002i3−2i3−2i32i32i3−2i3−2i32i3000000001-1-111-1-110000000000−i3i3i3−i3−i3i3i3−i300000000000000000000000000000000000000000000000000
χ1394-4-444-4-44-2-2422-222-22-22-2-4-444-4-44-2-2221-2-2-1-11-1-1122-222-2-222-2-222-210000000000000000000000001-1-111-1-1100000000000000000000000000000000003-3-333-3-3300000000000000000000000000
χ1404-4-444-4-44-2-2422-222-22-22-2-4-444-4-44-2-2221-2-2-1-11-1-1122-222-2-222-2-222-210000000000000000000000001-1-111-1-110000000000000000000000000000000000-333-3-333-300000000000000000000000000
χ1414-4-44-444-44-24-4-4422-24-4-22-4-44-444-4-424-2-24-222-2-2-22-4-4422-2-444-42-2-222000000000000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-44-444-44-2-2-4-4422-24-4-2222-22-2-22-424-2-2-2122-2-2-2222-2-1-112-2-22-111-120000000000000000−2i32i32i3−2i32i3−2i3−2i32i31-1-11-111-1000000000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000000000000000000000000000
χ1434-4-44-444-44-2-2-4-4422-24-4-2222-22-2-22-424-2-2-2122-2-2-2222-2-1-112-2-22-111-1200000000000000002i3−2i3−2i32i3−2i32i32i3−2i31-1-11-111-1000000000000000000−i3i3i3−i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1444-4-44-444-4-24422-2-4-44-224-4-4-44-444-42-4-24-2-2422-2-2-2222-2-4-442-2-22-444-42000000000000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
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χ1464-4-44-444-4-24-222-2-4-44-224-422-22-2-222-4-24-21-222-2-2-22-1-1122-2-111-12-2-222000000002i3−2i3−2i32i3−2i32i32i3−2i3000000001-1-11-111-10000000000−i3i3i3−i3i3−i3−i3i300000000000000000000000000000000000000000000000000
χ1474-4-44-444-4-2-2422-222-2-22-22-4-44-444-422-2-21-2-2-1-1111-122-222-22-2-222-2-22-10000000000000000000000001-1-11-111-100000000000000000000000000000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000
χ1484-4-44-444-4-2-2422-222-2-22-22-4-44-444-422-2-21-2-2-1-1111-122-222-22-2-222-2-22-10000000000000000000000001-1-11-111-10000000000000000000000000000000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000
χ14988888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222222222222222000000000000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000000000
χ1508888-8-8-8-8-4-4-4-4-4-4-4-4-44444-4-4-444444444222222-2-2-2222222-2-2-2-2-2-2-2-2-2000000000000000000000000-1-1-1-1111100000000000000000000000000000000000000000000000000000000000000000000
χ15188-8-888-8-8-4-4-4-444-444-4444-444-4-444-4-44-42222-2-22-2-22-2-22-2-222-2-222-2-22000000000000000000000000-1-111-1-11100000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-8-8-888-4-4-4-444-4444-4-4-4-44444-4-444-442222-2-2-2222-2-22-2-2-2-222-2-222-2000000000000000000000000-1-11111-1-100000000000000000000000000000000000000000000000000000000000000000000
χ1538-88-88-88-8-4-4-44-444-4444-444-44-44-44-4-4-44222-22-2-22-2-22-2-22-22-22-22-22-22000000000000000000000000-11-11-11-1100000000000000000000000000000000000000000000000000000000000000000000
χ1548-88-8-88-88-4-4-44-444-44-4-44-44-444-44-4444-4222-22-22-22-22-2-22-2-22-22-22-22-2000000000000000000000000-11-111-11-100000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-888-8-88-4-4-444-444-44-44-444-4-444-4-4-444222-2-22-2-22-2-22-2-222-2-222-2-222000000000000000000000000-111-1-111-100000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-88-888-8-4-4-444-444-4-44-4444-44-4-4444-4-4222-2-2222-2-2-22-2-22-222-2-222-2-2000000000000000000000000-111-11-1-1100000000000000000000000000000000000000000000000000000000000000000000

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