Finite Group Databasebeta

← Group #11784084

Character table — Group #11784084

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222444422334466666612121212121212123666666688881212121212121212444444448888888866121224242424242424242424242424242424888888884444888812121212121212122424242424242424888812121212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−i11-1-1
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11iiii−i−i−i−i-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111−i−iii11-1-1−i−iii-1-111
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11−i−i−i−iiiii1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111ii−i−i-1-111
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1ii−i−i111-1-1-1-11−i−i−i−iiiii-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111−i−iii11-1-1
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11iiii−i−i−i−i1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iii-1-111
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11iiii−i−i−i−i-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i11-1-1
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii11-1-1
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1111-1−i−iii111-1-1-1-11−i−i−i−iiiii-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1ii−i−i-1-111
χ171-1-1111-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-111i−ii−i11-111-1-1-111-1-111-1-1ii−i−iii−i−i1-11-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii−ii−i1-11-111-1-111-1-1ii−i−iii−i−ii−ii−ii−ii−i1-11-11-11-1
χ181-1-1111-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-111i−ii−i11-111-1-1-111-1-111-1-1−i−iii−i−iii1-11-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iiii−ii−i-11-1111-1-111-1-1−i−iii−i−iii−ii−iii−ii−i-11-11-11-11
χ191-1-1111-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-111i−ii−i11-111-1-1-1-1-111-1-111ii−i−iii−i−i1-11-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−ii−ii1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii−ii−ii1-11-1-11-11
χ201-1-1111-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-111i−ii−i11-111-1-1-1-1-111-1-111−i−iii−i−iii1-11-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i−ii−ii-11-11-1-111-1-111−i−iii−i−iiii−ii−i−ii−ii-11-111-11-1
χ211-1-1111-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-111−ii−ii11-111-1-1-111-1-111-1-1ii−i−iii−i−i1-11-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i−ii−ii-11-1111-1-111-1-1ii−i−iii−i−ii−ii−i−ii−ii-11-11-11-11
χ221-1-1111-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-111−ii−ii11-111-1-1-111-1-111-1-1−i−iii−i−iii1-11-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−ii−ii1-11-111-1-111-1-1−i−iii−i−iii−ii−ii−ii−ii1-11-11-11-1
χ231-1-1111-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-111−ii−ii11-111-1-1-1-1-111-1-111ii−i−iii−i−i1-11-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iiii−ii−i-11-11-1-111-1-111ii−i−iii−i−i−ii−iii−ii−i-11-111-11-1
χ241-1-1111-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-111−ii−ii11-111-1-1-1-1-111-1-111−i−iii−i−iii1-11-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−ii−ii−i1-11-1-1-111-1-111−i−iii−i−iiii−ii−ii−ii−i1-11-1-11-11
χ251-1-11-1-1111-1111-1-1-111-1-1-1-11111-1-11-111-1-11-11-1-1111-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii-111-111-1-1-1-11111-1-1-1-111-1-11111-1-1−iii−i−iii−iii−i−i−i−iiiii−i−i−i−iii-111-1−iii−i−iii−i-111-1
χ261-1-11-1-1111-1111-1-1-111-1-1-1-11111-1-11-111-1-11-11-1-1111-1-1-111-1ii−i−i−i−iii−i−iiiii−i−i-111-111-1-1-1-11111-1-1-1-11111-1-1-1-111−iii−ii−i−iiii−i−i−i−iii−i−iiiii−i−i1-1-11−iii−ii−i−ii1-1-11
χ271-1-11-1-1111-1111-1-1-111-1-1-1-11111-1-11-111-1-11-11-1-1111-1-1-111-1−i−iiiii−i−iii−i−i−i−iii-111-111-1-1-1-11111-1-1-1-11111-1-1-1-111i−i−ii−iii−i−i−iiiii−i−iii−i−i−i−iii1-1-11i−i−ii−iii−i1-1-11
χ281-1-11-1-1111-1111-1-1-111-1-1-1-11111-1-11-111-1-11-11-1-1111-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i-111-111-1-1-1-11111-1-1-1-111-1-11111-1-1i−i−iii−i−ii−i−iiiii−i−i−i−iiiii−i−i-111-1i−i−iii−i−ii-111-1
χ291-1-11-1-1111-1111-1-1-111-1-1-1-11111-1-11-111-1-11-1-111-111-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-111-1i−i−iii−i−ii1-1-11
χ301-1-11-1-1111-1111-1-1-111-1-1-1-11111-1-11-111-1-11-1-111-111-1-1-111-1ii−i−i−i−iii−i−iiiii−i−i-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1-1-11i−i−ii−iii−i-111-1
χ311-1-11-1-1111-1111-1-1-111-1-1-1-11111-1-11-111-1-11-1-111-111-1-1-111-1−i−iiiii−i−iii−i−i−i−iii-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1-1-11−iii−ii−i−ii-111-1
χ321-1-11-1-1111-1111-1-1-111-1-1-1-11111-1-11-111-1-11-1-111-111-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-111-1−iii−i−iii−i1-1-11
χ3322222222222-122222-1-1-1-1-122-1-122-122-1-1-1-1-122222-1-1-1-1-1-122222222200000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ3422222222222-122222-1-1-1-1-122-1-122-122-1-1-1-1-122222-1-1-1-1-1-12-2-2-2-2-2-2-2-200000000-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-100000000-2-2-2-2000011111111000000000000111100000000
χ3522222222222-122222-1-1-1-1-122-1-122-122-1-1-1-1-1-2-2-2-22-1-1-1-1-1-122222222200000000-1-1-1-1-21-21-21-211111111100000000-2-2-2-20000-1-1-1-1-1-1-1-1000000000000111100000000
χ3622222222222-122222-1-1-1-1-122-1-122-122-1-1-1-1-1-2-2-2-22-1-1-1-1-1-12-2-2-2-2-2-2-2-200000000-1-1-1-1-21-21-21-2111111111000000002222000011111111000000000000-1-1-1-100000000
χ372222222222-1222-1-1-122222-1-122-1-1-1-1-12-1-1-122222-122-1-1-1-1-10000000022222222-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000000000000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ382222222222-1222-1-1-122222-1-122-1-1-1-1-12-1-1-122222-122-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000111111110000000011110000
χ392222222222-1222-1-1-122222-1-122-1-1-1-1-12-1-1-12-2-2-2-2-122-1-1-1-1-10000000022222222-1-1-1-11-21-21-21-211111111000000000000-2-2-2-200000000-1-1-1-1-1-1-1-10000000011110000
χ402222222222-1222-1-1-122222-1-122-1-1-1-1-12-1-1-12-2-2-2-2-122-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-11-21-21-21-2111111110000000000002222000000001111111100000000-1-1-1-10000
χ4122222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-22222-20000000000000000-2-2-2-2000000000000000022222222000000000000000000000000-2-2-2-2000000000000
χ4222222222-2-222-2-2222222222222222-2-2-2222-20000-2-2-22222-20000000000000000-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ432222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2000000000000000022-2-200000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i000000000000
χ442222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i000000000000
χ452222-2-2-2-2-2-22-122222-1-1-111-2-211-2-2-1-2-21-1-1-112i2i−2i−2i2-1-1111122i2i2i2i−2i−2i−2i−2i0000000011-1-12i−i2i−i−2ii−2ii−i−i−i−iiiii0000000022-2-20000−i−i−i−iiiii000000000000-1-11100000000
χ462222-2-2-2-2-2-22-122222-1-1-111-2-211-2-2-1-2-21-1-1-112i2i−2i−2i2-1-111112−2i−2i−2i−2i2i2i2i2i0000000011-1-12i−i2i−i−2ii−2ii−i−i−i−iiiii00000000-2-2220000iiii−i−i−i−i00000000000011-1-100000000
χ472222-2-2-2-2-2-22-122222-1-1-111-2-211-2-2-1-2-21-1-1-11−2i−2i2i2i2-1-1111122i2i2i2i−2i−2i−2i−2i0000000011-1-1−2ii−2ii2i−i2i−iiiii−i−i−i−i00000000-2-2220000−i−i−i−iiiii00000000000011-1-100000000
χ482222-2-2-2-2-2-22-122222-1-1-111-2-211-2-2-1-2-21-1-1-11−2i−2i2i2i2-1-111112−2i−2i−2i−2i2i2i2i2i0000000011-1-1−2ii−2ii2i−i2i−iiiii−i−i−i−i0000000022-2-20000iiii−i−i−i−i000000000000-1-11100000000
χ492222-2-2-2-2-2-2-1222-1-1-1222-2-211-2-211-111-2-1-1-1-22i2i−2i−2i-1221111-1000000002222-2-2-2-211-1-1−i2i−i2ii−2ii−2i−i−i−i−iiiii0000000000002i2i−2i−2i00000000-1-1-1-1111100000000−i−iii0000
χ502222-2-2-2-2-2-2-1222-1-1-1222-2-211-2-211-111-2-1-1-1-22i2i−2i−2i-1221111-100000000-2-2-2-2222211-1-1−i2i−i2ii−2ii−2i−i−i−i−iiiii000000000000−2i−2i2i2i000000001111-1-1-1-100000000ii−i−i0000
χ512222-2-2-2-2-2-2-1222-1-1-1222-2-211-2-211-111-2-1-1-1-2−2i−2i2i2i-1221111-1000000002222-2-2-2-211-1-1i−2ii−2i−i2i−i2iiiii−i−i−i−i000000000000−2i−2i2i2i00000000-1-1-1-1111100000000ii−i−i0000
χ522222-2-2-2-2-2-2-1222-1-1-1222-2-211-2-211-111-2-1-1-1-2−2i−2i2i2i-1221111-100000000-2-2-2-2222211-1-1i−2ii−2i−i2i−i2iiiii−i−i−i−i0000000000002i2i−2i−2i000000001111-1-1-1-100000000−i−iii0000
χ5322-2-22i−2i2i−2i0022002-2-2-22-22i−2i2i−2i2i−2i2i−2i20002-2-2000000002i−2i2i−2i01+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2i2−i2i2−i2000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i2−22−2i2−i2i2−i20000000000000000
χ5422-2-22i−2i2i−2i0022002-2-2-22-22i−2i2i−2i2i−2i2i−2i20002-2-2000000002i−2i2i−2i01+i−1−i1+i−1−i1−i−1+i1−i−1+i−22−22−i2i2−i2i200000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−22−22−i2i2−i2i20000000000000000
χ5522-2-22i−2i2i−2i0022002-2-2-22-22i−2i2i−2i2i−2i2i−2i20002-2-2000000002i−2i2i−2i0−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−22−2i2−i2i2−i200000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i2−22−2i2−i2i2−i20000000000000000
χ5622-2-22i−2i2i−2i0022002-2-2-22-22i−2i2i−2i2i−2i2i−2i20002-2-2000000002i−2i2i−2i0−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22−i2i2−i2i2000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−22−22−i2i2−i2i20000000000000000
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χ13088-8-8−8i8i−8i8i00-4-400-4444-444i−4i4i−4i4i−4i4i−4i20002-2-200000000−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-88i−8i−8i8i00-4-4004-4444-4−4i4i4i−4i4i−4i−4i4i2000-22-2000000002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8−8i8i8i−8i00-4-4004-4444-44i−4i−4i4i−4i4i4i−4i2000-22-200000000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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