Finite Group Databasebeta

← Group #13170814

Character table — Group #13170814

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222224444444444444444446666666666668888888888888812121212121212121212121212121212121212121212121218181818181818181818181818181818181818181818181824242424242424242424242436363636363654545454
order12223334466666666633366666666612121212121222222244444436661212121212121212121266666666666612121212121212121212121222224444444466666666121212126666661212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11111-1-11111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-11111-1-1111111111111111111-1-111-1-1111111-1-1111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-11111-1-1111111111111111111-1-111-1-1111111-1-1111111-1-111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-111-1-1-1-111-1-111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-11111
χ7111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111-1-111
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-111-1-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ171-11-1111i−i11-1-1-11-1-1-1111111-1-1-1-1-1-1i−iii−i−i1-11-11-1i−ii−ii−i11-1-1iii−i−i−iii−i−i1-11-11-11-111-1-1i−ii−iii−i−ii−ii−i1-11-1i−i1-1i−ii−i11-1-111-1-1ii−i−i1-11-11-1i−ii−ii−i1-1i−ii−i1-1i−i
χ181-11-1111i−i11-1-1-11-1-1-1111111-1-1-1-1-1-1i−iii−i−i1-11-1-11i−ii−i−ii11-1-1iii−i−i−iii−i−i1-11-11-11-1-1-111i−ii−i−i−iiii−ii−i-11-11i−i1-1−ii−ii-1-111-1-111ii−i−i1-11-1-11i−ii−i−ii1-1−ii−ii-11−ii
χ191-11-1111i−i11-1-1-11-1-1-1111111-1-1-1-1-1-1i−iii−i−i1-1-111-1i−i−iii−i11-1-1iii−i−i−iii−i−i1-1-111-1-1111-1-1i−i−iiii−i−ii−i−ii1-1-11−ii-11i−i−ii11-1-1-1-111−i−iii1-1-111-1i−i−iii−i-11i−i−ii-11−ii
χ201-11-1111i−i11-1-1-11-1-1-1111111-1-1-1-1-1-1i−iii−i−i1-1-11-11i−i−ii−ii11-1-1iii−i−i−iii−i−i1-1-111-1-11-1-111i−i−ii−i−iiii−i−ii-111-1−ii-11−iii−i-1-11111-1-1−i−iii1-1-11-11i−i−ii−ii-11−iii−i1-1i−i
χ211-11-1111i−i11-1-1-11-1-1-1111111-1-1-1-1-1-1i−iii−i−i-111-11-1−iii−ii−i11-1-1iii−i−i−iii−i−i-111-1-111-111-1-1−iii−iii−i−i−iii−i-111-1−ii-11−iii−i-1-11111-1-1−i−iii-111-11-1−iii−ii−i-11−iii−i-11−ii
χ221-11-1111i−i11-1-1-11-1-1-1111111-1-1-1-1-1-1i−iii−i−i-111-1-11−iii−i−ii11-1-1iii−i−i−iii−i−i-111-1-111-1-1-111−iii−i−i−iii−iii−i1-1-11−ii-11i−i−ii11-1-1-1-111−i−iii-111-1-11−iii−i−ii-11i−i−ii1-1i−i
χ231-11-1111i−i11-1-1-11-1-1-1111111-1-1-1-1-1-1i−iii−i−i-11-111-1−ii−iii−i11-1-1iii−i−i−iii−i−i-11-11-11-1111-1-1−ii−iiii−i−i−ii−ii-11-11i−i1-1−ii−ii-1-111-1-111ii−i−i-11-111-1−ii−iii−i1-1−ii−ii1-1i−i
χ241-11-1111i−i11-1-1-11-1-1-1111111-1-1-1-1-1-1i−iii−i−i-11-11-11−ii−ii−ii11-1-1iii−i−i−iii−i−i-11-11-11-11-1-111−ii−ii−i−iii−ii−ii1-11-1i−i1-1i−ii−i11-1-111-1-1ii−i−i-11-11-11−ii−ii−ii1-1i−ii−i-11−ii
χ251-11-1111−ii11-1-1-11-1-1-1111111-1-1-1-1-1-1−ii−i−iii1-11-11-1−ii−ii−ii11-1-1−i−i−iiii−i−iii1-11-11-11-111-1-1−ii−ii−i−iii−ii−ii1-11-1−ii1-1−ii−ii11-1-111-1-1−i−iii1-11-11-1−ii−ii−ii1-1−ii−ii1-1−ii
χ261-11-1111−ii11-1-1-11-1-1-1111111-1-1-1-1-1-1−ii−i−iii1-11-1-11−ii−iii−i11-1-1−i−i−iiii−i−iii1-11-11-11-1-1-111−ii−iiii−i−i−ii−ii-11-11−ii1-1i−ii−i-1-111-1-111−i−iii1-11-1-11−ii−iii−i1-1i−ii−i-11i−i
χ271-11-1111−ii11-1-1-11-1-1-1111111-1-1-1-1-1-1−ii−i−iii1-1-111-1−iii−i−ii11-1-1−i−i−iiii−i−iii1-1-111-1-1111-1-1−iii−i−i−iii−iii−i1-1-11i−i-11−iii−i11-1-1-1-111ii−i−i1-1-111-1−iii−i−ii-11−iii−i-11i−i
χ281-11-1111−ii11-1-1-11-1-1-1111111-1-1-1-1-1-1−ii−i−iii1-1-11-11−iii−ii−i11-1-1−i−i−iiii−i−iii1-1-111-1-11-1-111−iii−iii−i−i−iii−i-111-1i−i-11i−i−ii-1-11111-1-1ii−i−i1-1-11-11−iii−ii−i-11i−i−ii1-1−ii
χ291-11-1111−ii11-1-1-11-1-1-1111111-1-1-1-1-1-1−ii−i−iii-111-11-1i−i−ii−ii11-1-1−i−i−iiii−i−iii-111-1-111-111-1-1i−i−ii−i−iiii−i−ii-111-1i−i-11i−i−ii-1-11111-1-1ii−i−i-111-11-1i−i−ii−ii-11i−i−ii-11i−i
χ301-11-1111−ii11-1-1-11-1-1-1111111-1-1-1-1-1-1−ii−i−iii-111-1-11i−i−iii−i11-1-1−i−i−iiii−i−iii-111-1-111-1-1-111i−i−iiii−i−ii−i−ii1-1-11i−i-11−iii−i11-1-1-1-111ii−i−i-111-1-11i−i−iii−i-11−iii−i1-1−ii
χ311-11-1111−ii11-1-1-11-1-1-1111111-1-1-1-1-1-1−ii−i−iii-11-111-1i−ii−i−ii11-1-1−i−i−iiii−i−iii-11-11-11-1111-1-1i−ii−i−i−iiii−ii−i-11-11−ii1-1i−ii−i-1-111-1-111−i−iii-11-111-1i−ii−i−ii1-1i−ii−i1-1−ii
χ321-11-1111−ii11-1-1-11-1-1-1111111-1-1-1-1-1-1−ii−i−iii-11-11-11i−ii−ii−i11-1-1−i−i−iiii−i−iii-11-11-11-11-1-111i−ii−iii−i−ii−ii−i1-11-1−ii1-1−ii−ii11-1-111-1-1−i−iii-11-11-11i−ii−ii−i1-1−ii−ii-11i−i
χ33222222-1222-122-122-122-1-12-1-12-1-12-1-1222-12-1002222002222-1-1-1-12-1-12-1-1-1-1-1-1002200-1-12-12-100-1-12-12-100220022000000220000-1-1-1-1000000-1-1-1-100-1-1-1-10000-1-10000
χ34222222-1222-122-122-122-1-12-1-12-1-12-1-1222-12-10022-2-20022-2-2-1-1-1-12-1-12-1-1-1-1-1-1002200-1-1-21-2100-1-1-21-21002200-2-2000000-2-200001111000000-1-11100-1-1110000110000
χ35222222-1222-122-122-122-1-12-1-12-1-12-1-1222-12-100-2-22200-2-222-1-1-1-12-1-12-1-1-1-1-1-100-2-200112-12-100112-12-100-2-200-2-2000000-2-20000111100000011-1-10011-1-10000110000
χ36222222-1222-122-122-122-1-12-1-12-1-12-1-1222-12-100-2-2-2-200-2-2-2-2-1-1-1-12-1-12-1-1-1-1-1-100-2-20011-21-210011-21-2100-2-20022000000220000-1-1-1-100000011110011110000-1-10000
χ37222222-1-2-22-122-122-122-1-12-1-12-1-12-1-1-2-2-21-2100222200-2-2-2-2-1-1-1-1-211-2111111002200-1-12-12-10011-21-2100-2-20022000000-2-20000-1-1-1-1000000-1-1-1-10011110000110000
χ38222222-1-2-22-122-122-122-1-12-1-12-1-12-1-1-2-2-21-210022-2-200-2-222-1-1-1-1-211-2111111002200-1-1-21-2100112-12-100-2-200-2-20000002200001111000000-1-1110011-1-10000-1-10000
χ39222222-1-2-22-122-122-122-1-12-1-12-1-12-1-1-2-2-21-2100-2-2220022-2-2-1-1-1-1-211-211111100-2-200112-12-100-1-1-21-21002200-2-2000000220000111100000011-1-100-1-1110000-1-10000
χ40222222-1-2-22-122-122-122-1-12-1-12-1-12-1-1-2-2-21-2100-2-2-2-2002222-1-1-1-1-211-211111100-2-20011-21-2100-1-12-12-100220022000000-2-20000-1-1-1-1000000111100-1-1-1-10000110000
χ4122222-1222-122-122-122-12-1-12-1-12-1-12-122-12-12220022220022-1-1-1-1-12-1-12-1-1-1-1-12200-1-100-12-12-1-100-12-122200220000002200-1-1-1-100000000-1-100-1-1-1-100-1-100-1-1000000
χ4222222-1222-122-122-122-12-1-12-1-12-1-12-122-12-122200-2-22200-2-2-1-1-1-1-12-1-12-1-1-1-1-12200-1-1001-21-2-1-1001-21-22200-2-2000000-2-200111100000000-1-10011-1-100110011000000
χ4322222-1222-122-122-122-12-1-12-1-12-1-12-122-12-12-2-20022-2-20022-1-1-1-1-12-1-12-1-1-1-1-1-2-2001100-12-121100-12-12-2-200-2-2000000-2-2001111000000001100-1-11100-1-10011000000
χ4422222-1222-122-122-122-12-1-12-1-12-1-12-122-12-12-2-200-2-2-2-200-2-2-1-1-1-1-12-1-12-1-1-1-1-1-2-20011001-21-211001-21-2-2-200220000002200-1-1-1-10000000011001111001100-1-1000000
χ4522222-12-2-2-122-122-122-12-1-12-1-12-1-12-1-2-21-21-2220022-2-200-2-2-1-1-1-11-211-2111112200-1-100-12-1211001-21-2-2-20022000000-2-200-1-1-1-100000000-1-100-1-11100110011000000
χ4622222-12-2-2-122-122-122-12-1-12-1-12-1-12-1-2-21-21-22200-2-2-2-20022-1-1-1-11-211-2111112200-1-1001-21-21100-12-12-2-200-2-20000002200111100000000-1-100111100-1-100-1-1000000
χ4722222-12-2-2-122-122-122-12-1-12-1-12-1-12-1-2-21-21-2-2-200222200-2-2-1-1-1-11-211-211111-2-2001100-12-12-1-1001-21-22200-2-200000022001111000000001100-1-1-1-1001100-1-1000000
χ4822222-12-2-2-122-122-122-12-1-12-1-12-1-12-1-2-21-21-2-2-200-2-2220022-1-1-1-11-211-211111-2-20011001-21-2-1-100-12-12220022000000-2-200-1-1-1-100000000110011-1-100-1-10011000000
χ492222-1222222-122-122-1-1-12-1-12-1-12-1-12-1-12222222200222200-1-1-1-1-1-12-1-12-1-1-1-1-1-1-1-12222000022220000-1-1-1-100002222000000000000-1-1-1-1-1-1-1-100-1-1-1-100-1-100000000
χ502222-1222222-122-122-1-1-12-1-12-1-12-1-12-1-1222222-2-20022-2-200-1-1-1-1-1-12-1-12-1-1-1-1-1-11122-2-2000022-2-20000-1-1110000-2-2-2-20000000000001111-1-11100-1-111001100000000
χ512222-1222222-122-122-1-1-12-1-12-1-12-1-12-1-12222-2-22200-2-22200-1-1-1-1-1-12-1-12-1-1-1-111-1-1-2-2220000-2-222000011-1-10000-2-2-2-2000000000000111111-1-10011-1-1001100000000
χ522222-1222222-122-122-1-1-12-1-12-1-12-1-12-1-12222-2-2-2-200-2-2-2-200-1-1-1-1-1-12-1-12-1-1-1-11111-2-2-2-20000-2-2-2-20000111100002222000000000000-1-1-1-1111100111100-1-100000000
χ532222-122-2-222-122-122-1-1-12-1-12-1-12-1-1211-2-2-2-2222200-2-2-2-200-1-1-1-111-211-21111-1-1-1-122220000-2-2-2-2000011110000-2-2220000000000001111-1-1-1-100111100-1-100000000
χ542222-122-2-222-122-122-1-1-12-1-12-1-12-1-1211-2-2-2-222-2-200-2-22200-1-1-1-111-211-21111-1-11122-2-20000-2-222000011-1-1000022-2-2000000000000-1-1-1-1-1-1110011-1-1001100000000
χ552222-122-2-222-122-122-1-1-12-1-12-1-12-1-1211-2-2-2-2-2-2220022-2-200-1-1-1-111-211-2111111-1-1-2-222000022-2-20000-1-111000022-2-2000000000000-1-1-1-111-1-100-1-111001100000000
χ562222-122-2-222-122-122-1-1-12-1-12-1-12-1-1211-2-2-2-2-2-2-2-200222200-1-1-1-111-211-211111111-2-2-2-2000022220000-1-1-1-10000-2-2220000000000001111111100-1-1-1-100-1-100000000
χ572-22-222-12i−2i2-1-2-212-21-22-1-12-1-1-211-2112i−2i2i−i−2ii002-22-2002i−2i2i−2i-1-1112i−i−i−2iii−i−iii002-200-112-1-2100−ii2i−i−2ii002i−2i002-20000002i−2i0000-1-111000000-11-1100−ii−ii0000−ii0000
χ582-22-222-12i−2i2-1-2-212-21-22-1-12-1-1-211-2112i−2i2i−i−2ii002-2-22002i−2i−2i2i-1-1112i−i−i−2iii−i−iii002-200-11-212-100−ii−2ii2i−i002i−2i00-22000000−2i2i000011-1-1000000-111-100−iii−i0000i−i0000
χ592-22-222-12i−2i2-1-2-212-21-22-1-12-1-1-211-2112i−2i2i−i−2ii00-222-200−2i2i2i−2i-1-1112i−i−i−2iii−i−iii00-22001-12-1-2100i−i2i−i−2ii00−2i2i00-22000000−2i2i000011-1-10000001-1-1100i−i−ii0000i−i0000
χ602-22-222-12i−2i2-1-2-212-21-22-1-12-1-1-211-2112i−2i2i−i−2ii00-22-2200−2i2i−2i2i-1-1112i−i−i−2iii−i−iii00-22001-1-212-100i−i−2ii2i−i00−2i2i002-20000002i−2i0000-1-1110000001-11-100i−ii−i0000−ii0000
χ612-22-222-1−2i2i2-1-2-212-21-22-1-12-1-1-211-211−2i2i−2ii2i−i002-22-200−2i2i−2i2i-1-111−2iii2i−i−iii−i−i002-200-112-1-2100i−i−2ii2i−i00−2i2i002-2000000−2i2i0000-1-111000000-11-1100i−ii−i0000i−i0000
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χ652-22-22-122i−2i-12-21-221-2-2-12-1-12-11-211-212i−2i−i2ii−2i2-2002-22i−2i002i−2i-1-111−i2i−ii−2ii−i−iii2-200-1100-121-2−ii00−i2ii−2i2i−2i002-20000002i−2i00-1-11100000000-1100-11−ii00−ii00−ii000000
χ662-22-22-122i−2i-12-21-221-2-2-12-1-12-11-211-212i−2i−i2ii−2i2-200-222i−2i00−2i2i-1-111−i2i−ii−2ii−i−iii2-200-11001-2-12−ii00i−2i−i2i2i−2i00-22000000−2i2i0011-1-100000000-11001-1−ii00i−i00i−i000000
χ672-22-22-122i−2i-12-21-221-2-2-12-1-12-11-211-212i−2i−i2ii−2i-22002-2−2i2i002i−2i-1-111−i2i−ii−2ii−i−iii-22001-100-121-2i−i00−i2ii−2i−2i2i00-22000000−2i2i0011-1-1000000001-100-11i−i00−ii00i−i000000
χ682-22-22-122i−2i-12-21-221-2-2-12-1-12-11-211-212i−2i−i2ii−2i-2200-22−2i2i00−2i2i-1-111−i2i−ii−2ii−i−iii-22001-1001-2-12i−i00i−2i−i2i−2i2i002-20000002i−2i00-1-111000000001-1001-1i−i00i−i00−ii000000
χ692-22-22-12−2i2i-12-21-221-2-2-12-1-12-11-211-21−2i2ii−2i−i2i2-2002-2−2i2i00−2i2i-1-111i−2ii−i2i−iii−i−i2-200-1100-121-2i−i00i−2i−i2i−2i2i002-2000000−2i2i00-1-11100000000-1100-11i−i00i−i00i−i000000
χ702-22-22-12−2i2i-12-21-221-2-2-12-1-12-11-211-21−2i2ii−2i−i2i2-200-22−2i2i002i−2i-1-111i−2ii−i2i−iii−i−i2-200-11001-2-12i−i00−i2ii−2i−2i2i00-220000002i−2i0011-1-100000000-11001-1i−i00−ii00−ii000000
χ712-22-22-12−2i2i-12-21-221-2-2-12-1-12-11-211-21−2i2ii−2i−i2i-22002-22i−2i00−2i2i-1-111i−2ii−i2i−iii−i−i-22001-100-121-2−ii00i−2i−i2i2i−2i00-220000002i−2i0011-1-1000000001-100-11−ii00i−i00−ii000000
χ722-22-22-12−2i2i-12-21-221-2-2-12-1-12-11-211-21−2i2ii−2i−i2i-2200-222i−2i002i−2i-1-111i−2ii−i2i−iii−i−i-22001-1001-2-12−ii00−i2ii−2i2i−2i002-2000000−2i2i00-1-111000000001-1001-1−ii00−ii00i−i000000
χ732-22-2-1222i−2i221-2-2-1-2-21-1-12-1-1211-211-2−ii2i2i−2i−2i2-22-2002i−2i2i−2i00-1-111−i−i2iii−2i−i−iii-11-112-22-200002i−2i2i−2i0000−ii−ii00002i−2i2-2000000000000−i−iii-11-1100−ii−ii00-1100000000
χ742-22-2-1222i−2i221-2-2-1-2-21-1-12-1-1211-211-2−ii2i2i−2i−2i2-2-22002i−2i−2i2i00-1-111−i−i2iii−2i−i−iii-111-12-2-2200002i−2i−2i2i0000−iii−i0000−2i2i-22000000000000ii−i−i-111-100−iii−i001-100000000
χ752-22-2-1222i−2i221-2-2-1-2-21-1-12-1-1211-211-2−ii2i2i−2i−2i-222-200−2i2i2i−2i00-1-111−i−i2iii−2i−i−iii1-1-11-222-20000−2i2i2i−2i0000i−i−ii0000−2i2i-22000000000000ii−i−i1-1-1100i−i−ii001-100000000
χ762-22-2-1222i−2i221-2-2-1-2-21-1-12-1-1211-211-2−ii2i2i−2i−2i-22-2200−2i2i−2i2i00-1-111−i−i2iii−2i−i−iii1-11-1-22-220000−2i2i−2i2i0000i−ii−i00002i−2i2-2000000000000−i−iii1-11-100i−ii−i00-1100000000
χ772-22-2-122−2i2i221-2-2-1-2-21-1-12-1-1211-211-2i−i−2i−2i2i2i2-22-200−2i2i−2i2i00-1-111ii−2i−i−i2iii−i−i-11-112-22-20000−2i2i−2i2i0000i−ii−i0000−2i2i2-2000000000000ii−i−i-11-1100i−ii−i00-1100000000
χ782-22-2-122−2i2i221-2-2-1-2-21-1-12-1-1211-211-2i−i−2i−2i2i2i2-2-2200−2i2i2i−2i00-1-111ii−2i−i−i2iii−i−i-111-12-2-220000−2i2i2i−2i0000i−i−ii00002i−2i-22000000000000−i−iii-111-100i−i−ii001-100000000
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χ8144444-2-244-2-24-2-24-2-24-2-21-2-21-2-21-2-2144-2-2-2-20000440000441111-2-21-2-21111100000000-2-2-2-20000-2-2-2-200000000000000000000000000000000110000110000000000
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χ8344444-2-2-4-4-2-24-2-24-2-24-2-21-2-21-2-21-2-21-4-422220000440000-4-4111122-122-1-1-1-1-100000000-2-2-2-20000222200000000000000000000000000000000110000-1-10000000000
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χ854444-24-2444-2-24-2-24-2-2-21-2-21-2-21-2-21-2-2-24-24-20044000044001111-21-2-21-2111100-2-200-2-2000000-2-2000000-2-20000000000000000000000000011000011000000000000
χ864444-24-2444-2-24-2-24-2-2-21-2-21-2-21-2-21-2-2-24-24-200-4-40000-4-4001111-21-2-21-2111100220022000000220000002200000000000000000000000000-1-10000-1-1000000000000
χ874444-24-2-4-44-2-24-2-24-2-2-21-2-21-2-21-2-21-222-42-4200440000-4-40011112-122-12-1-1-1-100-2-200-2-2000000220000002200000000000000000000000000110000-1-1000000000000
χ884444-24-2-4-44-2-24-2-24-2-2-21-2-21-2-21-2-21-222-42-4200-4-40000440011112-122-12-1-1-1-100220022000000-2-2000000-2-200000000000000000000000000-1-1000011000000000000
χ894444-2-2444-24-2-24-2-24-21-2-21-2-21-2-21-2-2-2-2-24-2444000044000011111-2-21-2-21111-2-200-2-2000000-2-2000000-2-2000000000000000000000000001100001100000000000000
χ904444-2-2444-24-2-24-2-24-21-2-21-2-21-2-21-2-2-2-2-24-24-4-40000-4-4000011111-2-21-2-21111220022000000220000002200000000000000000000000000-1-10000-1-100000000000000
χ914444-2-24-4-4-24-2-24-2-24-21-2-21-2-21-2-21-2-2222-42-4440000-4-400001111-122-122-1-1-1-1-2-200-2-2000000220000002200000000000000000000000000110000-1-100000000000000
χ924444-2-24-4-4-24-2-24-2-24-21-2-21-2-21-2-21-2-2222-42-4-4-400004400001111-122-122-1-1-1-1220022000000-2-2000000-2-200000000000000000000000000-1-100001100000000000000
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χ1044-44-4-24-24i−4i4-22-42-2-422-21-2-21-22-122-12−2i2i4i−2i−4i2i004-400004i−4i0011-1-1−2ii−2i2i−i2iii−i−i00-2200-22000000−2i2i000000−2i2i000000000000000000000000001-10000i−i000000000000
χ1054-44-4-24-24i−4i4-22-42-2-422-21-2-21-22-122-12−2i2i4i−2i−4i2i00-440000−4i4i0011-1-1−2ii−2i2i−i2iii−i−i002-2002-20000002i−2i0000002i−2i00000000000000000000000000-110000−ii000000000000
χ1064-44-4-24-2−4i4i4-22-42-2-422-21-2-21-22-122-122i−2i−4i2i4i−2i004-40000−4i4i0011-1-12i−i2i−2ii−2i−i−iii00-2200-220000002i−2i0000002i−2i000000000000000000000000001-10000−ii000000000000
χ1074-44-4-24-2−4i4i4-22-42-2-422-21-2-21-22-122-122i−2i−4i2i4i−2i00-4400004i−4i0011-1-12i−i2i−2ii−2i−i−iii002-2002-2000000−2i2i000000−2i2i00000000000000000000000000-110000i−i000000000000
χ1084-44-4-2-244i−4i-2422-4-22-421-2-21-2-2-122-122−2i2i−2i4i2i−4i4-400004i−4i000011-1-1i−2i−2i−i2i2iii−i−i-2200-22000000−2i2i000000−2i2i000000000000000000000000001-10000i−i00000000000000
χ1094-44-4-2-244i−4i-2422-4-22-421-2-21-2-2-122-122−2i2i−2i4i2i−4i-440000−4i4i000011-1-1i−2i−2i−i2i2iii−i−i2-2002-20000002i−2i0000002i−2i00000000000000000000000000-110000−ii00000000000000
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χ1114-44-4-2-24−4i4i-2422-4-22-421-2-21-2-2-122-1222i−2i2i−4i−2i4i-4400004i−4i000011-1-1−i2i2ii−2i−2i−i−iii2-2002-2000000−2i2i000000−2i2i00000000000000000000000000-110000i−i00000000000000
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χ1164-4-444-24002-442-4-4-24-4-24-22-42-24-22-42000000000000000000-222-200000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ1174-4-44-24400-4-4-2-4-42442-2-2422-4-2-2422-4000000000000000000-222-200000000000000000000000000000000000000000000000000000023−23−23230000000000000000000000
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χ1278-88-8-4-4-4−8i8i-4-4444-4444222222-2-2-2-2-2-24i−4i4i4i−4i−4i000000000000-1-111−2i−2i−2i2i2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-888-4-40044844-8-4-4-8-4-4244-2-4-4244-20000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1318-8-88-4-4-40044-4444-4-44222-2-2-2222-2-2-2000000000000000000-111-1000000−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-40044-4444-4-44222-2-2-2222-2-2-2000000000000000000-111-10000003i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000000000

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