Finite Group Databasebeta

← Group #11784093

Character table — Group #11784093

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order12224444223344666666121212121212121234444666666612121212121212124444444488888888661212121212121212121212121212121212128888888822448888121212121212121224242424242424248888661212242424248888
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
χ511111111111111111111111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-11iiii−i−i−i−i1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-11iiii−i−i−i−i-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iiiii−i−i−i−i-1-1-1-11111−i−iii-1-111ii−i−i−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-11−i−i−i−iiiii1111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii11-1-1−i−iii−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1111-1-1-1-11−i−i−i−iiiii-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−i−i−i−iiiii-1-1-1-11111ii−i−i-1-111−i−iiiii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1111-1111-1-1-1-11iiii−i−i−i−i1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111iiii−i−i−i−i-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1ii−i−i-1-111−i−iii−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1111-1111-1-1-1-11iiii−i−i−i−i-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111−i−i−i−iiiii11-1-1−i−iiiiiii−i−i−i−i-1-1-1-11111−i−iii11-1-1−i−iiiii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1111-1111-1-1-1-11−i−i−i−iiiii1111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111−i−i−i−iiiii-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1−i−iii-1-111ii−i−iii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1111-1111-1-1-1-11−i−i−i−iiiii-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111iiii−i−i−i−i11-1-1ii−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i11-1-1ii−i−i−i−iii
χ171-1-1111-1-1-11111-11-1-1-1-111111-1-1-1-11i−ii−i-11-11-1-111-1111-1-1-111-1-111-1-1ii−i−iii−i−i1-1ii−i−iii−i−i1-1ii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−ii−ii−i1-11-1i−ii−i1-11-1
χ181-1-1111-1-1-11111-11-1-1-1-111111-1-1-1-11i−ii−i-11-11-1-111-1111-1-1-111-1-111-1-1−i−iii−i−iii1-1ii−i−iii−i−i1-1ii−i−iii−i−i−i−iii−i−iii-11-11i−ii−i11-1-111-1-1−i−iii−i−iii−ii−ii-11-11i−ii−i-11-11
χ191-1-1111-1-1-11111-11-1-1-1-111111-1-1-1-11i−ii−i-11-11-1-111-1111-1-1-1-1-111-1-111ii−i−iii−i−i1-1ii−i−iii−i−i1-1ii−i−iii−i−i−i−iii−i−iii1-11-1−ii−ii-1-111-1-111ii−i−iii−i−i−ii−ii1-11-1−ii−ii-11-11
χ201-1-1111-1-1-11111-11-1-1-1-111111-1-1-1-11i−ii−i-11-11-1-111-1111-1-1-1-1-111-1-111−i−iii−i−iii1-1ii−i−iii−i−i1-1ii−i−iii−i−iii−i−iii−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iiii−ii−i-11-11−ii−ii1-11-1
χ211-1-1111-1-1-11111-11-1-1-1-111111-1-1-1-11−ii−ii-11-11-1-111-1111-1-1-111-1-111-1-1ii−i−iii−i−i1-1−i−iii−i−iii1-1−i−iii−i−iiiii−i−iii−i−i-11-11−ii−ii11-1-111-1-1ii−i−iii−i−ii−ii−i-11-11−ii−ii-11-11
χ221-1-1111-1-1-11111-11-1-1-1-111111-1-1-1-11−ii−ii-11-11-1-111-1111-1-1-111-1-111-1-1−i−iii−i−iii1-1−i−iii−i−iii1-1−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−ii−ii1-11-1−ii−ii1-11-1
χ231-1-1111-1-1-11111-11-1-1-1-111111-1-1-1-11−ii−ii-11-11-1-111-1111-1-1-1-1-111-1-111ii−i−iii−i−i1-1−i−iii−i−iii1-1−i−iii−i−iii−i−iii−i−iii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−ii−ii-11-11i−ii−i1-11-1
χ241-1-1111-1-1-11111-11-1-1-1-111111-1-1-1-11−ii−ii-11-11-1-111-1111-1-1-1-1-111-1-111−i−iii−i−iii1-1−i−iii−i−iii1-1−i−iii−i−iiiii−i−iii−i−i1-11-1i−ii−i-1-111-1-111−i−iii−i−iiii−ii−i1-11-1i−ii−i-11-11
χ251-1-11-1-1111-1111-11-1-1-1-11-1-1-1-111111i−i−ii1-111-1-1-11-11-1-111-1ii−i−i−i−iiiii−i−i−i−iii-11ii−i−i−i−iii1-1ii−i−i−i−iii-1-11111-1-11-1-11-111-1ii−i−i−i−iiiii−i−i−i−iii-111-11-1-11-111-1i−i−ii
χ261-1-11-1-1111-1111-11-1-1-1-11-1-1-1-111111i−i−ii1-111-1-1-11-11-1-111-1ii−i−i−i−iii−i−iiiii−i−i-11ii−i−i−i−iii1-1ii−i−i−i−iii11-1-1-1-111-111-1-111-1ii−i−i−i−iii−i−iiiii−i−i1-1-11-111-1-111-1−iii−i
χ271-1-11-1-1111-1111-11-1-1-1-11-1-1-1-111111i−i−ii1-111-1-1-11-11-1-111-1−i−iiiii−i−iii−i−i−i−iii-11ii−i−i−i−iii1-1ii−i−i−i−iii11-1-1-1-1111-1-111-1-11−i−iiiii−i−iii−i−i−i−iii1-1-111-1-111-1-11−iii−i
χ281-1-11-1-1111-1111-11-1-1-1-11-1-1-1-111111i−i−ii1-111-1-1-11-11-1-111-1−i−iiiii−i−i−i−iiiii−i−i-11ii−i−i−i−iii1-1ii−i−i−i−iii-1-11111-1-1-111-11-1-11−i−iiiii−i−i−i−iiiii−i−i-111-1-111-11-1-11i−i−ii
χ291-1-11-1-1111-1111-11-1-1-1-11-1-1-1-111111−iii−i1-111-1-1-11-11-1-111-1ii−i−i−i−iiiii−i−i−i−iii-11−i−iiiii−i−i1-1−i−iiiii−i−i-1-11111-1-1-111-11-1-11ii−i−i−i−iiiii−i−i−i−iii-111-1-111-11-1-11−iii−i
χ301-1-11-1-1111-1111-11-1-1-1-11-1-1-1-111111−iii−i1-111-1-1-11-11-1-111-1ii−i−i−i−iii−i−iiiii−i−i-11−i−iiiii−i−i1-1−i−iiiii−i−i11-1-1-1-1111-1-111-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-111-1-111-1-11i−i−ii
χ311-1-11-1-1111-1111-11-1-1-1-11-1-1-1-111111−iii−i1-111-1-1-11-11-1-111-1−i−iiiii−i−iii−i−i−i−iii-11−i−iiiii−i−i1-1−i−iiiii−i−i11-1-1-1-111-111-1-111-1−i−iiiii−i−iii−i−i−i−iii1-1-11-111-1-111-1i−i−ii
χ321-1-11-1-1111-1111-11-1-1-1-11-1-1-1-111111−iii−i1-111-1-1-11-11-1-111-1−i−iiiii−i−i−i−iiiii−i−i-11−i−iiiii−i−i1-1−i−iiiii−i−i-1-11111-1-11-1-11-111-1−i−iiiii−i−i−i−iiiii−i−i-111-11-1-11-111-1−iii−i
χ3322222222222-122222-1-1-122-1-1-1-122-122222-1-1-1-1-1222-1-1-1-1-1-10000000022222222-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-1000000002222000000000000-1-1-1-1-1-1-1-10000-1-1-1-100000000
χ3422222222222-122222-1-1-122-1-1-1-122-122222-1-1-1-1-1222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2000000000000111111110000111100000000
χ3522222222222-122222-1-1-122-1-1-1-122-1-2-2-2-22-1-1-1-1-1222-1-1-1-1-1-10000000022222222-1-1-21-21-21-21-1-11111111100000000-2-2-2-2000000000000-1-1-1-1-1-1-1-10000111100000000
χ3622222222222-122222-1-1-122-1-1-1-122-1-2-2-2-22-1-1-1-1-1222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-21-21-21-21-1-111111111000000002222000000000000111111110000-1-1-1-100000000
χ372222222222-1222-1-1-1222-1-12222-1-1-12222-122-1-1-1-1-1-12-1-1-1-122222222200000000-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-1-1-1-1-10000000000000000-1-1-1-10000
χ382222222222-1222-1-1-1222-1-12222-1-1-12222-122-1-1-1-1-1-12-1-1-1-12-2-2-2-2-2-2-2-200000000-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-211111111000000000000000011110000
χ392222222222-1222-1-1-1222-1-12222-1-1-1-2-2-2-2-122-1-1-1-1-1-12-1-1-1-122222222200000000-1-11-21-21-21-2-1-111111111000000000000-2-2-2-2-1-1-1-1-1-1-1-1000000000000000011110000
χ402222222222-1222-1-1-1222-1-12222-1-1-1-2-2-2-2-122-1-1-1-1-1-12-1-1-1-12-2-2-2-2-2-2-2-200000000-1-11-21-21-21-2-1-1111111110000000000002222111111110000000000000000-1-1-1-10000
χ4122222222-2-222-2-22222222222222220000-2-2-2222-2-2-2-22222-20000000000000000-2-200000000-2-20000000022222222000000000000000000000000-2-2-2-2000000000000
χ4222222222-2-222-2-22222222222222220000-2-2-2222-2-2-2-22222-20000000000000000-2-200000000-2-200000000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ432222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2200002222222-2-2-2-2-2-2-2-200000000000000002200000000-2-2000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i000000000000
χ442222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2200002222222-2-2-2-2-2-2-2-200000000000000002200000000-2-200000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i000000000000
χ452222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-122-2-2-211-1-1-1-222-11111-1000000002222-2-2-2-2112-12-1-21-21-1-1-1-1-1-111110000000022-2-2000000000000-1-1-1-111110000-1-11100000000
χ462222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-122-2-2-211-1-1-1-222-11111-100000000-2-2-2-22222112-12-1-21-21-1-1-1-1-1-1111100000000-2-2220000000000001111-1-1-1-1000011-1-100000000
χ472222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-2-222-211-1-1-1-222-11111-1000000002222-2-2-2-211-21-212-12-1-1-11111-1-1-1-100000000-2-222000000000000-1-1-1-11111000011-1-100000000
χ482222-2-2-2-2-2-22-122222-1-1-1-2-21111-2-2-1-2-222-211-1-1-1-222-11111-100000000-2-2-2-2222211-21-212-12-1-1-11111-1-1-1-10000000022-2-20000000000001111-1-1-1-10000-1-11100000000
χ492222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-122-2-21-2-2-1-1-11-1-12111122i2i2i2i−2i−2i−2i−2i0000000011-12-121-21-2-1-1-1-1-1-111110000000000002i2i−2i−2i−i−i−i−iiiii0000000000000000−i−iii0000
χ502222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-122-2-21-2-2-1-1-11-1-1211112−2i−2i−2i−2i2i2i2i2i0000000011-12-121-21-2-1-1-1-1-1-11111000000000000−2i−2i2i2iiiii−i−i−i−i0000000000000000ii−i−i0000
χ512222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-1-2-2221-2-2-1-1-11-1-12111122i2i2i2i−2i−2i−2i−2i00000000111-21-2-12-12-1-11111-1-1-1-1000000000000−2i−2i2i2i−i−i−i−iiiii0000000000000000ii−i−i0000
χ522222-2-2-2-2-2-2-1222-1-1-122211-2-2-2-211-1-2-2221-2-2-1-1-11-1-1211112−2i−2i−2i−2i2i2i2i2i00000000111-21-2-12-12-1-11111-1-1-1-10000000000002i2i−2i−2iiiii−i−i−i−i0000000000000000−i−iii0000
χ5322-2-22i−2i2i−2i002200-22-22-2-22i−2i2i−2i2i−2i2i−2i20000000-22-200002i−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−2i002200-22-22-2-22i−2i2i−2i2i−2i2i−2i20000000-22-200002i−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−2i002200-22-22-2-22i−2i2i−2i2i−2i2i−2i20000000-22-200002i−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−2i002200-22-22-2-22i−2i2i−2i2i−2i2i−2i20000000-22-200002i−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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χ1284-4-44-4-444-44-2-2-44-22222-22222-2-2-2-2100002-221-1-1-22-22-1-111-200000000000000001-100000000-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000
χ12988-8-88i−8i8i−8i00-4-4004-44-444−4i4i−4i4i−4i4i−4i4i20000000-22-200002i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-8−8i8i−8i8i00-4-4004-44-4444i−4i4i−4i4i−4i4i−4i20000000-22-20000−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-88i−8i−8i8i00-4-40044-44-44−4i4i−4i4i4i−4i4i−4i20000000-2-2200002i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8−8i8i8i−8i00-4-40044-44-444i−4i4i−4i−4i4i−4i4i20000000-2-220000−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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