Finite Group Databasebeta

← Group #11783188

Character table — Group #11783188

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222444444444444444444446666666666666666888888888888888888889999999912121212121212121212121212121212121212121212121218181818242424242424242436363636
order1222444422334466666612121212121212123666666688881212121212121212444444444444444466121224242424242424242424242424242424222244444444444412121212121212121212121212121212224412121212121212128888
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
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-111-1-1ii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1111111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1ii−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111ii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111−i−iii
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1ii−i−i
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1111111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111ii−i−i
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-111-1-1−i−iii
χ171-1-1111-1-1-11111-111-1-1-1-11111-1-1-1-11-1-1-1-1111i−ii−i11-1-111-1-111-1-111-1-111-1-111-1-11-11-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1i−ii−ii−ii−i11-1-111-1-111-1-111-1-11-11-1i−ii−ii−ii−ii−ii−i
χ181-1-1111-1-1-11111-111-1-1-1-11111-1-1-1-11-1-1-1-1111i−ii−i11-1-111-1-111-1-111-1-1-1-111-1-1111-11-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111i−ii−i−ii−ii11-1-111-1-1-1-111-1-111-11-11i−ii−i−ii−ii−ii−ii
χ191-1-1111-1-1-11111-111-1-1-1-11111-1-1-1-11-1-1-1-1111i−ii−i11-1-111-1-1-1-111-1-11111-1-111-1-11-11-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−ii−iii−ii−i-1-111-1-11111-1-111-1-1-11-11−ii−iii−ii−i−ii−ii
χ201-1-1111-1-1-11111-111-1-1-1-11111-1-1-1-11-1-1-1-1111i−ii−i11-1-111-1-1-1-111-1-111-1-111-1-1111-11-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1−ii−ii−ii−ii-1-111-1-111-1-111-1-1111-11-1−ii−ii−ii−iii−ii−i
χ211-1-1111-1-1-11111-111-1-1-1-11111-1-1-1-11-1-1-1-1111−ii−ii11-1-111-1-111-1-111-1-111-1-111-1-11-11-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−ii−ii−ii−ii11-1-111-1-111-1-111-1-11-11-1−ii−ii−ii−ii−ii−ii
χ221-1-1111-1-1-11111-111-1-1-1-11111-1-1-1-11-1-1-1-1111−ii−ii11-1-111-1-111-1-111-1-1-1-111-1-1111-11-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111−ii−iii−ii−i11-1-111-1-1-1-111-1-111-11-11−ii−iii−ii−ii−ii−i
χ231-1-1111-1-1-11111-111-1-1-1-11111-1-1-1-11-1-1-1-1111−ii−ii11-1-111-1-1-1-111-1-11111-1-111-1-11-11-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111i−ii−i−ii−ii-1-111-1-11111-1-111-1-1-11-11i−ii−i−ii−iii−ii−i
χ241-1-1111-1-1-11111-111-1-1-1-11111-1-1-1-11-1-1-1-1111−ii−ii11-1-111-1-1-1-111-1-111-1-111-1-1111-11-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1i−ii−ii−ii−i-1-111-1-111-1-111-1-1111-11-1i−ii−ii−ii−i−ii−ii
χ251-1-11-1-1111-1111-111-1-1-1-1-1-1-1-11111111-1-11-1-11-1-1111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-111-111-1-1-1-11111-1-1-1-11111-1-1-1-111−iii−i−iii−iii−i−i−i−iiiii−i−i−i−iii-111-1−iii−i−iii−i1-1-11
χ261-1-11-1-1111-1111-111-1-1-1-1-1-1-1-11111111-1-11-1-11-1-1111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-111-111-1-1-1-11111-1-1-1-111-1-11111-1-1−iii−ii−i−iiii−i−i−i−iii−i−iiiii−i−i1-1-11−iii−ii−i−ii-111-1
χ271-1-11-1-1111-1111-111-1-1-1-1-1-1-1-11111111-1-11-1-11-1-1111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-111-111-1-1-1-11111-1-1-1-111-1-11111-1-1i−i−ii−iii−i−i−iiiii−i−iii−i−i−i−iii1-1-11i−i−ii−iii−i-111-1
χ281-1-11-1-1111-1111-111-1-1-1-1-1-1-1-11111111-1-11-1-11-1-1111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-111-111-1-1-1-11111-1-1-1-11111-1-1-1-111i−i−iii−i−ii−i−iiiii−i−i−i−iiiii−i−i-111-1i−i−iii−i−ii1-1-11
χ291-1-11-1-1111-1111-111-1-1-1-1-1-1-1-11111111-1-11-1-1-111-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-111-1i−i−iii−i−ii-111-1
χ301-1-11-1-1111-1111-111-1-1-1-1-1-1-1-11111111-1-11-1-1-111-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i1-1-11i−i−ii−iii−i1-1-11
χ311-1-11-1-1111-1111-111-1-1-1-1-1-1-1-11111111-1-11-1-1-111-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-111-1-1-11111-1-1-1-11111-1-1-1-11111-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii1-1-11−iii−ii−i−ii1-1-11
χ321-1-11-1-1111-1111-111-1-1-1-1-1-1-1-11111111-1-11-1-1-111-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-111-1-1-11111-1-1-1-11111-1-111-1-1-1-111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-111-1−iii−i−iii−i-111-1
χ3322222222222-1222-122-1-122-1-122-1-1-12-1-1-1-12-122222-12-1-1-1-1-10000000022222222-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1000000000000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ3422222222222-1222-122-1-122-1-122-1-1-12-1-1-1-12-122222-12-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1000000000000-2-2-2-200000000111111110000000011110000
χ3522222222222-1222-122-1-122-1-122-1-1-12-1-1-1-12-1-2-2-2-22-12-1-1-1-1-10000000022222222-1-1-1-1-21-21-21-2111111111000000000000-2-2-2-200000000-1-1-1-1-1-1-1-10000000011110000
χ3622222222222-1222-122-1-122-1-122-1-1-12-1-1-1-12-1-2-2-2-22-12-1-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-1-1-21-21-21-21111111110000000000002222000000001111111100000000-1-1-1-10000
χ372222222222-1222-12-1-122-1-122-1-122-1-12-1-1-1-122222-12-12-1-1-1-12222222200000000-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-10000000022220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ382222222222-1222-12-1-122-1-122-1-122-1-12-1-1-1-122222-12-12-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-100000000-2-2-2-2000011111111000000000000111100000000
χ392222222222-1222-12-1-122-1-122-1-122-1-12-1-1-1-12-2-2-2-2-12-12-1-1-1-12222222200000000-1-1-1-11-21-21-21-21111111100000000-2-2-2-20000-1-1-1-1-1-1-1-1000000000000111100000000
χ402222222222-1222-12-1-122-1-122-1-122-1-12-1-1-1-12-2-2-2-2-12-12-1-1-1-1-2-2-2-2-2-2-2-200000000-1-1-1-11-21-21-21-211111111000000002222000011111111000000000000-1-1-1-100000000
χ4122222222-2-222-2-2222222222222222-2-2222-2-20000-2-2-2-222220000000000000000-2-2-2-2000000000000000022222222000000000000000000000000-2-2-2-2000000000000
χ4222222222-2-222-2-2222222222222222-2-2222-2-20000-2-2-2-222220000000000000000-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000000002222000000000000
χ432222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2000000000000000022-2-200000000000000002222-2-2-2-200000000000000000000000022-2-2000000000000
χ442222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2222222220000-2-2-2-2-2-2-2-2000000000000000022-2-20000000000000000-2-2-2-22222000000000000000000000000-2-222000000000000
χ452222-2-2-2-2-2-22-1222-122-1-1-2-211-2-211-1-21-1-1-1-212i2i−2i−2i2-12-11111000000002i2i2i2i−2i−2i−2i−2i11-1-12i−i2i−i−2ii−2ii−i−i−i−iiiii00000000000022-2-200000000−i−i−i−iiiii00000000-1-1110000
χ462222-2-2-2-2-2-22-1222-122-1-1-2-211-2-211-1-21-1-1-1-212i2i−2i−2i2-12-1111100000000−2i−2i−2i−2i2i2i2i2i11-1-12i−i2i−i−2ii−2ii−i−i−i−iiiii000000000000-2-22200000000iiii−i−i−i−i0000000011-1-10000
χ472222-2-2-2-2-2-22-1222-122-1-1-2-211-2-211-1-21-1-1-1-21−2i−2i2i2i2-12-11111000000002i2i2i2i−2i−2i−2i−2i11-1-1−2ii−2ii2i−i2i−iiiii−i−i−i−i000000000000-2-22200000000−i−i−i−iiiii0000000011-1-10000
χ482222-2-2-2-2-2-22-1222-122-1-1-2-211-2-211-1-21-1-1-1-21−2i−2i2i2i2-12-1111100000000−2i−2i−2i−2i2i2i2i2i11-1-1−2ii−2ii2i−i2i−iiiii−i−i−i−i00000000000022-2-200000000iiii−i−i−i−i00000000-1-1110000
χ492222-2-2-2-2-2-2-1222-12-1-12211-2-211-2-2-11-2-1-1-11-22i2i−2i−2i-12-1211112i2i2i2i−2i−2i−2i−2i0000000011-1-1−i2i−i2ii−2ii−2i−i−i−i−iiiii0000000022-2-20000−i−i−i−iiiii000000000000-1-11100000000
χ502222-2-2-2-2-2-2-1222-12-1-12211-2-211-2-2-11-2-1-1-11-22i2i−2i−2i-12-121111−2i−2i−2i−2i2i2i2i2i0000000011-1-1−i2i−i2ii−2ii−2i−i−i−i−iiiii00000000-2-2220000iiii−i−i−i−i00000000000011-1-100000000
χ512222-2-2-2-2-2-2-1222-12-1-12211-2-211-2-2-11-2-1-1-11-2−2i−2i2i2i-12-1211112i2i2i2i−2i−2i−2i−2i0000000011-1-1i−2ii−2i−i2i−i2iiiii−i−i−i−i00000000-2-2220000−i−i−i−iiiii00000000000011-1-100000000
χ522222-2-2-2-2-2-2-1222-12-1-12211-2-211-2-2-11-2-1-1-11-2−2i−2i2i2i-12-121111−2i−2i−2i−2i2i2i2i2i0000000011-1-1i−2ii−2i−i2i−i2iiiii−i−i−i−i0000000022-2-20000iiii−i−i−i−i000000000000-1-11100000000
χ5322-2-22i−2i2i−2i002200-2-22-22-22i−2i2i−2i2i−2i2i−2i2002-2-200000000002i−2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000000000002-22-22i−2i2i−2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ5422-2-22i−2i2i−2i002200-2-22-22-22i−2i2i−2i2i−2i2i−2i2002-2-200000000002i−2i2i−2i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000000000000000-22-22−2i2i−2i2i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
χ5522-2-22i−2i2i−2i002200-2-22-22-22i−2i2i−2i2i−2i2i−2i2002-2-200000000002i−2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000000000000000-22-22−2i2i−2i2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000000000
χ5622-2-22i−2i2i−2i002200-2-22-22-22i−2i2i−2i2i−2i2i−2i2002-2-200000000002i−2i2i−2i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000000000002-22-22i−2i2i−2i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000000000
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χ1234-4-44-4-4444-4-2-24-4-2-222222222-2-2-2-21-2-2-1-11224-4-44-2-222-1-1110000000000000000-111-1-2-22222-2-211-1-1-1-111000000000000000000000000000000000000000000000000
χ1244-4-44-4-4444-4-2-24-4-2-222222222-2-2-2-21-2-2-1-1122-444-4-2-222-1-1110000000000000000-111-122-2-2-2-222-1-11111-1-1000000000000000000000000000000000000000000000000
χ1254-4-44-4-444-444-2-444-2-4-422-4-42244-2-2-2-4222-24-20000-424-222-2-20000000000000000-222-20000000000000000000000000000000000000000000000000000000000000000
χ1264-4-44-4-444-44-24-44-2422-4-422-4-4-2-244-22-422-2-2400002-4-2422-2-20000000000000000-222-20000000000000000000000000000000000000000000000000000000000000000
χ1274-4-44-4-444-44-2-2-44-2-222222222-2-2-2-2122-1-11-2-2000022-2-2-1-11100000000000000001-1-11000000003-3-33-333-3000000000000000000000000000000000000000000000000
χ1284-4-44-4-444-44-2-2-44-2-222222222-2-2-2-2122-1-11-2-2000022-2-2-1-11100000000000000001-1-1100000000-333-33-3-33000000000000000000000000000000000000000000000000
χ12988-8-88i−8i8i−8i00-4-40044-44-44−4i4i−4i4i−4i4i−4i4i2002-2-200000000002i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13088-8-8−8i8i−8i8i00-4-40044-44-444i−4i4i−4i4i−4i4i−4i2002-2-20000000000−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-88i−8i−8i8i00-4-400444-44-4−4i4i−4i4i4i−4i4i−4i200-22-200000000002i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8−8i8i8i−8i00-4-400444-44-44i−4i4i−4i−4i4i−4i4i200-22-20000000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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