Finite Group Databasebeta

← Group #11859352

Character table — Group #11859352

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222444422334466666612121212121212123666666688881212121212121212222244448888888866121224242424242424242424242424242424888888882244666688881212121224242424242424248888661212242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-111-1-1111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ1011111111-1-111-1-1111111111111111-1-1-1-111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111-1-1-1-1-1-111111111-11-1111-1-1-1-111
χ1111111111-1-111-1-1111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1111111-1-1-1-111111-11-1-1-111-1-111
χ1211111111-1-111-1-1111111111111111-1-1-1-111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-11-11-1-11111-1-1
χ1311111111-1-111-1-1111111111111111-1-1-1-1111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-1111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ1411111111-1-111-1-1111111111111111-1-1-1-1111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-11111-1-1-1-1-1-1111111111-11-1-1-11111-1-1
χ1511111111-1-111-1-1111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-11111-11-1111-1-111-1-1
χ1611111111-1-111-1-1111111111111111-1-1-1-1111-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-11-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11-11-111-1-1-1-111
χ171111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111i−ii−i-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i1-1-111111i−ii−i-1-1-1-1ii−i−iii−i−iii−i−i1-1-11i−ii−i1-11-1
χ181111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111i−ii−i-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-1ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii-111-11111i−ii−i-1-1-1-1−i−iii−i−iii−i−iii-111-1i−ii−i-11-11
χ191111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111i−ii−i-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii1-1-11-1-1-1-1−ii−ii1111ii−i−iii−i−i−i−iii1-1-11−ii−ii-11-11
χ201111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111i−ii−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii11-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i-111-1-1-1-1-1−ii−ii1111−i−iii−i−iiiii−i−i-111-1−ii−ii1-11-1
χ211111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111−ii−ii-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-1−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−i-111-11111−ii−ii-1-1-1-1ii−i−iii−i−iii−i−i-111-1−ii−ii-11-11
χ221111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111−ii−ii-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii1-1-111111−ii−ii-1-1-1-1−i−iii−i−iii−i−iii1-1-11−ii−ii1-11-1
χ231111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111−ii−ii-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i11-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii-111-1-1-1-1-1i−ii−i1111ii−i−iii−i−i−i−iii-111-1i−ii−i1-11-1
χ241111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111−ii−ii-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−i1-1-11-1-1-1-1i−ii−i1111−i−iii−i−iiiii−i−i1-1-11i−ii−i-11-11
χ251111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111i−i−ii1111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i11-1-111-1-1i−i−ii-1-111ii−i−i−i−iii−i−iii11-1-1i−i−ii1-1-11
χ261111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111i−i−ii1111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-111ii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiii-1-11111-1-1i−i−ii-1-111−i−iiiii−i−iii−i−i-1-111i−i−ii-111-1
χ271111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111i−i−ii1111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i−i−iii−i−i−i−iiiii11-1-1-1-111−iii−i11-1-1ii−i−i−i−iiiii−i−i11-1-1−iii−i-111-1
χ281111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111i−i−ii1111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-111ii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111-1-111−iii−i11-1-1−i−iiiii−i−i−i−iii-1-111−iii−i1-1-11
χ291111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111−iii−i1111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-111−i−iiiii−i−i−i−iiiii−i−iiiii−i−i−i−i-1-11111-1-1−iii−i-1-111ii−i−i−i−iii−i−iii-1-111−iii−i-111-1
χ301111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111−iii−i1111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii11-1-111-1-1−iii−i-1-111−i−iiiii−i−iii−i−i11-1-1−iii−i1-1-11
χ311111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111−iii−i1111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111-1-111i−i−ii11-1-1ii−i−i−i−iiiii−i−i-1-111i−i−ii1-1-11
χ321111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-1111−iii−i1111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iiiii−i−iiiii−i−i−i−i11-1-1-1-111i−i−ii11-1-1−i−iiiii−i−i−i−iii11-1-1i−i−ii-111-1
χ3322222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-1222222-1-1-1-1-1-10000000022222222-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1000000002222000000000000-1-1-1-1-1-1-1-10000-1-1-1-100000000
χ3422222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-1222222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000111111110000111100000000
χ3522222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-10000000022222222-1-1-1-1-21-21-21-211111111100000000-2-2-2-2000000000000-1-1-1-1-1-1-1-10000111100000000
χ3622222222222-12222-1-12-122-1-122-1-1-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-21-21-21-2111111111000000002222000000000000111111110000-1-1-1-100000000
χ372222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-12222-1-122-1-1-1-12222222200000000-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000000000000-1-1-1-12222-1-1-1-10000000000000000-1-1-1-10000
χ382222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-12222-1-122-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-10000000000001111-2-2-2-21111000000000000000011110000
χ392222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-2-2-2-2-1-122-1-1-1-12222222200000000-1-1-1-11-21-21-21-211111111000000000000-1-1-1-1-2-2-2-2-1-1-1-1000000000000000011110000
χ402222222222-1222-1-122-12-1-122-1-122-1-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-11-21-21-21-2111111110000000000001111222211110000000000000000-1-1-1-10000
χ4122222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-122-2-2-2-211-1-1-1-1000000002222-2-2-2-211112-12-1-21-21-1-1-1-11111000000002-22-2000000000000-1-1-1-111110000-11-1100000000
χ4222222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-122-2-2-2-211-1-1-1-100000000-2-2-2-2222211112-12-1-21-21-1-1-1-1111100000000-22-220000000000001111-1-1-1-100001-11-100000000
χ4322222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-2-222-2-211-1-1-1-1000000002222-2-2-2-21111-21-212-12-11111-1-1-1-100000000-22-22000000000000-1-1-1-1111100001-11-100000000
χ4422222222-2-22-1-2-222-1-12-122-1-122-1-1-1-2-211-1-1-1-2-222-2-211-1-1-1-100000000-2-2-2-222221111-21-212-12-11111-1-1-1-1000000002-22-20000000000001111-1-1-1-10000-11-1100000000
χ4522222222-2-2-12-2-2-1-122-12-1-122-1-122-111-2-2-1-1-122-2-211-2-2-1-1-1-122-2-222-2-2000000001111-12-121-21-2-1-1-1-11111000000000000-1-11122-2-2-1-1110000000000000000-1-1110000
χ4622222222-2-2-12-2-2-1-122-12-1-122-1-122-111-2-2-1-1-122-2-211-2-2-1-1-1-1-2-222-2-222000000001111-12-121-21-2-1-1-1-1111100000000000011-1-1-2-22211-1-1000000000000000011-1-10000
χ4722222222-2-2-12-2-2-1-122-12-1-122-1-122-111-2-2-1-1-1-2-22211-2-2-1-1-1-122-2-222-2-20000000011111-21-2-12-121111-1-1-1-1000000000000-1-111-2-222-1-111000000000000000011-1-10000
χ4822222222-2-2-12-2-2-1-122-12-1-122-1-122-111-2-2-1-1-1-2-22211-2-2-1-1-1-1-2-222-2-2220000000011111-21-2-12-121111-1-1-1-100000000000011-1-122-2-211-1-10000000000000000-1-1110000
χ492222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-12i−2i2i−2i-2-2111111000000002i2i−2i−2i2i2i−2i−2i-1-1112i−i−2ii2i−i−2ii−i−iii−i−iii000000002-2-22000000000000−i−iii−i−iii0000-111-100000000
χ502222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-12i−2i2i−2i-2-211111100000000−2i−2i2i2i−2i−2i2i2i-1-1112i−i−2ii2i−i−2ii−i−iii−i−iii00000000-222-2000000000000ii−i−iii−i−i00001-1-1100000000
χ512222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1−2i2i−2i2i-2-2111111000000002i2i−2i−2i2i2i−2i−2i-1-111−2ii2i−i−2ii2i−iii−i−iii−i−i00000000-222-2000000000000−i−iii−i−iii00001-1-1100000000
χ522222-2-2-2-2222-1-2-222-1-12-1-2-211-2-211-122-1-1-1-1-1−2i2i−2i2i-2-211111100000000−2i−2i2i2i−2i−2i2i2i-1-111−2ii2i−i−2ii2i−iii−i−iii−i−i000000002-2-22000000000000ii−i−iii−i−i0000-111-100000000
χ532222-2-2-2-222-12-2-2-1-122-1211-2-211-2-2-1-1-122-1-1-12i−2i2i−2i11-2-211112222-2-2-2-200000000-1-111−i2ii−2i−i2ii−2i−i−iii−i−iii000000000000-1-1-1-12i−2i2i−2i11110000000000000000−ii−ii0000
χ542222-2-2-2-222-12-2-2-1-122-1211-2-211-2-2-1-1-122-1-1-12i−2i2i−2i11-2-21111-2-2-2-2222200000000-1-111−i2ii−2i−i2ii−2i−i−iii−i−iii0000000000001111−2i2i−2i2i-1-1-1-10000000000000000i−ii−i0000
χ552222-2-2-2-222-12-2-2-1-122-1211-2-211-2-2-1-1-122-1-1-1−2i2i−2i2i11-2-211112222-2-2-2-200000000-1-111i−2i−i2ii−2i−i2iii−i−iii−i−i000000000000-1-1-1-1−2i2i−2i2i11110000000000000000i−ii−i0000
χ562222-2-2-2-222-12-2-2-1-122-1211-2-211-2-2-1-1-122-1-1-1−2i2i−2i2i11-2-21111-2-2-2-2222200000000-1-111i−2i−i2ii−2i−i2iii−i−iii−i−i00000000000011112i−2i2i−2i-1-1-1-10000000000000000−ii−ii0000
χ572222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12i−2i−2i2i22-1-11111000000002i2i−2i−2i−2i−2i2i2i11-1-12i−i−2ii−2ii2i−i−i−iiiii−i−i0000000022-2-2000000000000−i−iiiii−i−i0000-1-11100000000
χ582222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-12i−2i−2i2i22-1-1111100000000−2i−2i2i2i2i2i−2i−2i11-1-12i−i−2ii−2ii2i−i−i−iiiii−i−i00000000-2-222000000000000ii−i−i−i−iii000011-1-100000000
χ592222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-1−2i2i2i−2i22-1-11111000000002i2i−2i−2i−2i−2i2i2i11-1-1−2ii2i−i2i−i−2iiii−i−i−i−iii00000000-2-222000000000000−i−iiiii−i−i000011-1-100000000
χ602222-2-2-2-2-2-22-12222-1-12-1-2-211-2-211-1-2-211-1-1-1−2i2i2i−2i22-1-1111100000000−2i−2i2i2i2i2i−2i−2i11-1-1−2ii2i−i2i−i−2iiii−i−i−i−iii0000000022-2-2000000000000ii−i−i−i−iii0000-1-11100000000
χ612222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-12i−2i−2i2i-1-122111122-2-2-2-2220000000011-1-1−i2ii−2ii−2i−i2i−i−iiiii−i−i000000000000-1-1112i−2i−2i2i11-1-10000000000000000−iii−i0000
χ622222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-12i−2i−2i2i-1-1221111-2-22222-2-20000000011-1-1−i2ii−2ii−2i−i2i−i−iiiii−i−i00000000000011-1-1−2i2i2i−2i-1-1110000000000000000i−i−ii0000
χ632222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1−2i2i2i−2i-1-122111122-2-2-2-2220000000011-1-1i−2i−i2i−i2ii−2iii−i−i−i−iii000000000000-1-111−2i2i2i−2i11-1-10000000000000000i−i−ii0000
χ642222-2-2-2-2-2-2-1222-1-122-1211-2-211-2-2-111-2-2-1-1-1−2i2i2i−2i-1-1221111-2-22222-2-20000000011-1-1i−2i−i2i−i2ii−2iii−i−i−i−iii00000000000011-1-12i−2i−2i2i-1-1110000000000000000−iii−i0000
χ6522-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-222-22-2-2-2200002-22-2-2-22200000000000000002-22-200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002i−2i2i−2i000000000000
χ6622-2-222-2-22-2222-2-2-2-2-2222222-2-2-2-222-22-2-2-2200002-22-2-2-22200000000000000002-22-20000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i2i−2i2i000000000000
χ6722-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-22-22-22-2-220000-22-22-2-2220000000000000000-22-2200000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i2i−2i2i000000000000
χ6822-2-222-2-2-2222-22-2-2-2-2222222-2-2-2-22-22-22-2-220000-22-22-2-2220000000000000000-22-220000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i−2i2i−2i000000000000
χ6922-2-2-2-2222-222-22-2-2-2-222-2-2-2-2222222-22-2-2-220000-22-2222-2-200000000000000002-2-22000000000000000022-2-2-2-2220000000000000000000000002-2-22000000000000
χ7022-2-2-2-2222-222-22-2-2-2-222-2-2-2-2222222-22-2-2-220000-22-2222-2-200000000000000002-2-220000000000000000-2-22222-2-2000000000000000000000000-222-2000000000000
χ7122-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222-22-22-2-2200002-22-222-2-20000000000000000-222-2000000000000000022-2-2-2-222000000000000000000000000-222-2000000000000
χ7222-2-2-2-222-22222-2-2-2-2-222-2-2-2-222222-22-22-2-2200002-22-222-2-20000000000000000-222-20000000000000000-2-22222-2-20000000000000000000000002-2-22000000000000
χ732-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-2000000002i−2i2i−2i002-2002i−2i00002ζ3−2ζ32ζ−2ζ000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000002-20000002i−2i00002ζ3−2ζ32ζ−2ζ0000000000000000
χ742-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-2000000002i−2i2i−2i002-2002i−2i0000−2ζ32ζ3−2ζ2ζ00000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000002-20000002i−2i0000−2ζ32ζ3−2ζ2ζ0000000000000000
χ752-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-2000000002i−2i2i−2i00-2200−2i2i00002ζ3−2ζ32ζ−2ζ00000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000000-22000000−2i2i00002ζ3−2ζ32ζ−2ζ0000000000000000
χ762-22-22i−2i2i−2i0022002-22-2-2-22i−2i2i−2i2i−2i2i−2i200002-2-2000000002i−2i2i−2i00-2200−2i2i0000−2ζ32ζ3−2ζ2ζ000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000000-22000000−2i2i0000−2ζ32ζ3−2ζ2ζ0000000000000000
χ772-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-200000000−2i2i−2i2i002-200−2i2i00002ζ−2ζ2ζ3−2ζ3000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000002-2000000−2i2i00002ζ−2ζ2ζ3−2ζ30000000000000000
χ782-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-200000000−2i2i−2i2i002-200−2i2i0000−2ζ2ζ−2ζ32ζ300000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000002-2000000−2i2i0000−2ζ2ζ−2ζ32ζ30000000000000000
χ792-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-200000000−2i2i−2i2i00-22002i−2i00002ζ−2ζ2ζ3−2ζ300000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000000-220000002i−2i00002ζ−2ζ2ζ3−2ζ30000000000000000
χ802-22-2−2i2i−2i2i0022002-22-2-2-2−2i2i−2i2i−2i2i−2i2i200002-2-200000000−2i2i−2i2i00-22002i−2i0000−2ζ2ζ−2ζ32ζ3000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000000-220000002i−2i0000−2ζ2ζ−2ζ32ζ30000000000000000
χ812-2-222i−2i−2i2i002200-22-22-2-22i−2i2i−2i−2i2i−2i2i20000-22-200000000−2i2i2i−2i2-2002i−2i002ζ−2ζ2ζ3−2ζ30000000000000000000000002ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ300002-20000002i−2i002ζ−2ζ2ζ3−2ζ300000000000000000000
χ822-2-222i−2i−2i2i002200-22-22-2-22i−2i2i−2i−2i2i−2i2i20000-22-200000000−2i2i2i−2i2-2002i−2i00−2ζ2ζ−2ζ32ζ3000000000000000000000000−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ300002-20000002i−2i00−2ζ2ζ−2ζ32ζ300000000000000000000
χ832-2-222i−2i−2i2i002200-22-22-2-22i−2i2i−2i−2i2i−2i2i20000-22-200000000−2i2i2i−2i-2200−2i2i002ζ−2ζ2ζ3−2ζ3000000000000000000000000−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ30000-22000000−2i2i002ζ−2ζ2ζ3−2ζ300000000000000000000
χ842-2-222i−2i−2i2i002200-22-22-2-22i−2i2i−2i−2i2i−2i2i20000-22-200000000−2i2i2i−2i-2200−2i2i00−2ζ2ζ−2ζ32ζ30000000000000000000000002ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ30000-22000000−2i2i00−2ζ2ζ−2ζ32ζ300000000000000000000
χ852-2-22−2i2i2i−2i002200-22-22-2-2−2i2i−2i2i2i−2i2i−2i20000-22-2000000002i−2i−2i2i2-200−2i2i002ζ3−2ζ32ζ−2ζ0000000000000000000000002ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ00002-2000000−2i2i002ζ3−2ζ32ζ−2ζ00000000000000000000
χ862-2-22−2i2i2i−2i002200-22-22-2-2−2i2i−2i2i2i−2i2i−2i20000-22-2000000002i−2i−2i2i2-200−2i2i00−2ζ32ζ3−2ζ2ζ000000000000000000000000−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ00002-2000000−2i2i00−2ζ32ζ3−2ζ2ζ00000000000000000000
χ872-2-22−2i2i2i−2i002200-22-22-2-2−2i2i−2i2i2i−2i2i−2i20000-22-2000000002i−2i−2i2i-22002i−2i002ζ3−2ζ32ζ−2ζ000000000000000000000000−2ζ32ζ32ζ3−2ζ32ζ−2ζ−2ζ2ζ0000-220000002i−2i002ζ3−2ζ32ζ−2ζ00000000000000000000
χ882-2-22−2i2i2i−2i002200-22-22-2-2−2i2i−2i2i2i−2i2i−2i20000-22-2000000002i−2i−2i2i-22002i−2i00−2ζ32ζ3−2ζ2ζ0000000000000000000000002ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ0000-220000002i−2i00−2ζ32ζ3−2ζ2ζ00000000000000000000
χ894444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21114444-2-2-2-2111100000000000000001111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000000000
χ904444444444-2-244-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2111-4-4-4-4-2-2-2-211110000000000000000111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ9144444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21222211144-4-4222211110000000000000000-1-1-1-1-2-2-2-222221111-1-1-1-1000000000000000000000000000000000000000000000000
χ9244444444-4-4-2-2-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-212222111-4-444222211110000000000000000-1-1-1-12222-2-2-2-2-1-1-1-11111000000000000000000000000000000000000000000000000
χ934444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-2-2-2-21114i−4i4i−4i2222-1-1-1-1000000000000000011-1-1−2i−2i2i2i−2i−2i2i2iii−i−iii−i−i000000000000000000000000000000000000000000000000
χ944444-4-4-4-444-2-2-4-4-2-2-2-2-2-2222222221-2-2-2-2111−4i4i−4i4i2222-1-1-1-1000000000000000011-1-12i2i−2i−2i2i2i−2i−2i−i−iii−i−iii000000000000000000000000000000000000000000000000
χ954444-4-4-4-4-4-4-2-244-2-2-2-2-2-222222222122221114i−4i−4i4i-2-2-2-2-1-1-1-10000000000000000-1-111−2i−2i2i2i2i2i−2i−2iii−i−i−i−iii000000000000000000000000000000000000000000000000
χ964444-4-4-4-4-4-4-2-244-2-2-2-2-2-22222222212222111−4i4i4i−4i-2-2-2-2-1-1-1-10000000000000000-1-1112i2i−2i−2i−2i−2i2i2i−i−iiiii−i−i000000000000000000000000000000000000000000000000
χ9744-4-444-4-44-44-24-4-4-4224-244-2-2-4-422-24-4-2222-200004-4-2222-2-20000000000000000-22-220000000000000000000000000000000000000000000000000000000000000000
χ9844-4-444-4-44-4-244-422-4-4-24-2-24422-4-4-2-224-422-20000-224-422-2-20000000000000000-22-220000000000000000000000000000000000000000000000000000000000000000
χ9944-4-444-4-44-4-2-24-42222-2-2-2-2-2-222221-22-22-1-110000-22-22-1-11100000000000000001-11-1000000003-33-33-33-3000000000000000000000000000000000000000000000000
χ10044-4-444-4-44-4-2-24-42222-2-2-2-2-2-222221-22-22-1-110000-22-22-1-11100000000000000001-11-100000000-33-33-33-33000000000000000000000000000000000000000000000000
χ10144-4-444-4-4-444-2-44-4-4224-244-2-2-4-422-2-442-222-20000-442-222-2-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ10244-4-444-4-4-44-24-4422-4-4-24-2-24422-4-4-22-2-4422-200002-2-4422-2-200000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ10344-4-444-4-4-44-2-2-442222-2-2-2-2-2-2222212-22-2-1-1100002-22-2-1-1110000000000000000-11-11000000003-33-3-33-33000000000000000000000000000000000000000000000000
χ10444-4-444-4-4-44-2-2-442222-2-2-2-2-2-2222212-22-2-1-1100002-22-2-1-1110000000000000000-11-1100000000-33-333-33-3000000000000000000000000000000000000000000000000
χ10544-4-4-4-4444-44-2-44-4-4224-2-4-42244-2-2-24-4-2222-20000-442-2-2-2220000000000000000-222-20000000000000000000000000000000000000000000000000000000000000000
χ10644-4-4-4-4444-4-24-4422-4-4-2422-4-4-2-244-2-224-422-200002-2-44-2-2220000000000000000-222-20000000000000000000000000000000000000000000000000000000000000000
χ10744-4-4-4-4444-4-2-2-442222-2-22222-2-2-2-21-22-22-1-1100002-22-211-1-100000000000000001-1-11000000003i−3i−3i3i3i−3i−3i3i000000000000000000000000000000000000000000000000
χ10844-4-4-4-4444-4-2-2-442222-2-22222-2-2-2-21-22-22-1-1100002-22-211-1-100000000000000001-1-1100000000−3i3i3i−3i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ10944-4-4-4-444-444-24-4-4-4224-2-4-42244-2-2-2-442-222-200004-4-22-2-22200000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ11044-4-4-4-444-44-244-422-4-4-2422-4-4-2-244-22-2-4422-20000-224-4-2-22200000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ11144-4-4-4-444-44-2-24-42222-2-22222-2-2-2-212-22-2-1-110000-22-2211-1-10000000000000000-111-1000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ11244-4-4-4-444-44-2-24-42222-2-22222-2-2-2-212-22-2-1-110000-22-2211-1-10000000000000000-111-100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000
χ1134-44-44i−4i4i−4i004-2004-4-22-424i−4i−2i2i4i−4i−2i2i-20000-22200000000−2i2i−2i2i0000000000004ζ3−4ζ34ζ−4ζ000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ0000000000000000
χ1144-44-44i−4i4i−4i004-2004-4-22-424i−4i−2i2i4i−4i−2i2i-20000-22200000000−2i2i−2i2i000000000000−4ζ34ζ3−4ζ4ζ0000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ0000000000000000
χ1154-44-44i−4i4i−4i00-2400-224-42-4−2i2i4i−4i−2i2i4i−4i-20000-22200000000−2i2i−2i2i004-4004i−4i000000000000000000000000000000000000000000-22000000−2i2i000000000000000000000000
χ1164-44-44i−4i4i−4i00-2400-224-42-4−2i2i4i−4i−2i2i4i−4i-20000-22200000000−2i2i−2i2i00-4400−4i4i0000000000000000000000000000000000000000002-20000002i−2i000000000000000000000000
χ1174-44-4−4i4i−4i4i004-2004-4-22-42−4i4i2i−2i−4i4i2i−2i-20000-222000000002i−2i2i−2i0000000000004ζ−4ζ4ζ3−4ζ3000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ30000000000000000
χ1184-44-4−4i4i−4i4i004-2004-4-22-42−4i4i2i−2i−4i4i2i−2i-20000-222000000002i−2i2i−2i000000000000−4ζ4ζ−4ζ34ζ30000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ30000000000000000
χ1194-44-4−4i4i−4i4i00-2400-224-42-42i−2i−4i4i2i−2i−4i4i-20000-222000000002i−2i2i−2i004-400−4i4i000000000000000000000000000000000000000000-220000002i−2i000000000000000000000000
χ1204-44-4−4i4i−4i4i00-2400-224-42-42i−2i−4i4i2i−2i−4i4i-20000-222000000002i−2i2i−2i00-44004i−4i0000000000000000000000000000000000000000002-2000000−2i2i000000000000000000000000
χ1214-4-444i−4i−4i4i004-200-442-2-424i−4i−2i2i−4i4i2i−2i-200002-22000000002i−2i−2i2i000000004ζ−4ζ4ζ3−4ζ3000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ300000000000000000000
χ1224-4-444i−4i−4i4i004-200-442-2-424i−4i−2i2i−4i4i2i−2i-200002-22000000002i−2i−2i2i00000000−4ζ4ζ−4ζ34ζ30000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ300000000000000000000
χ1234-4-444i−4i−4i4i00-24002-2-442-4−2i2i4i−4i2i−2i−4i4i-200002-22000000002i−2i−2i2i4-4004i−4i000000000000000000000000000000000000000000-22000000−2i2i00000000000000000000000000
χ1244-4-444i−4i−4i4i00-24002-2-442-4−2i2i4i−4i2i−2i−4i4i-200002-22000000002i−2i−2i2i-4400−4i4i0000000000000000000000000000000000000000002-20000002i−2i00000000000000000000000000
χ1254-4-44−4i4i4i−4i004-200-442-2-42−4i4i2i−2i4i−4i−2i2i-200002-2200000000−2i2i2i−2i000000004ζ3−4ζ34ζ−4ζ000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ00000000000000000000
χ1264-4-44−4i4i4i−4i004-200-442-2-42−4i4i2i−2i4i−4i−2i2i-200002-2200000000−2i2i2i−2i00000000−4ζ34ζ3−4ζ4ζ0000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ00000000000000000000
χ1274-4-44−4i4i4i−4i00-24002-2-442-42i−2i−4i4i−2i2i4i−4i-200002-2200000000−2i2i2i−2i4-400−4i4i000000000000000000000000000000000000000000-220000002i−2i00000000000000000000000000
χ1284-4-44−4i4i4i−4i00-24002-2-442-42i−2i−4i4i−2i2i4i−4i-200002-2200000000−2i2i2i−2i-44004i−4i0000000000000000000000000000000000000000002-2000000−2i2i00000000000000000000000000
χ1298-88-88i−8i8i−8i00-4-400-44-4444−4i4i−4i4i−4i4i−4i4i200002-2-2000000002i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8−8i8i−8i8i00-4-400-44-44444i−4i4i−4i4i−4i4i−4i200002-2-200000000−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-888i−8i−8i8i00-4-4004-44-444−4i4i−4i4i4i−4i4i−4i20000-22-200000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88−8i8i8i−8i00-4-4004-44-4444i−4i4i−4i−4i4i−4i4i20000-22-2000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.