Finite Group Databasebeta

← Group #11785305

Character table — Group #11785305

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444444444444444888888888888888888888888888888888818181818363636363636363636367272
order1222444422333344666666666666121212121212121212121212121212124444444466666666121212121212121212121212121212121212121212121212121212121212121212121212121212128812121212121212121212121212121212242424242424242424242424242424244444224444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1111111-1-1
χ91111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1111-1-1-1ii−i−ii−i
χ101111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−i-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1111−i−iii−ii
χ111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1111-1-1-1−i−iii−ii
χ121111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−ii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1111ii−i−ii−i
χ131111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-11-111ii−i−i−ii
χ141111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−ii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-11111-11-1-1−i−iiii−i
χ151111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-11-111−i−iiii−i
χ161111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iii-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiii−i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-11111-11-1-1ii−i−i−ii
χ1722222222222-1-1-122222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ1822222222222-1-1-122222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000000000000000
χ1922222222222-1-1-122222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-222222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-21111110000000000000000
χ2022222222222-1-1-122222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000
χ212222222222-12-1-122-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122222222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000
χ222222222222-12-1-122-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000000000000000
χ232222222222-12-1-122-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-22222-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-2111111-2-2111111-2-211110000000000000000
χ242222222222-12-1-122-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111112211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000000000000
χ252222222222-1-12-122-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122222222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-10000000000000000
χ262222222222-1-12-122-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-2110000000000000000
χ272222222222-1-12-122-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-22222-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-2111111-2-2111111-2-2110000000000000000
χ282222222222-1-12-122-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-111111111-2-2-2-2111111111111-2-2-2-21111221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-10000000000000000
χ292222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-12222222222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000000000000000
χ302222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-1222222-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-20000000000000000
χ312222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-22222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-2111111-2-2111111-2-20000000000000000
χ322222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-1220000000000000000
χ3322222222-2-22222-2-2222222222222222222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000222200-2-200000000
χ3422222222-2-22222-2-2222222222222222222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000-2-2-2-2002200000000
χ352222-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000022-2-200-2200000000
χ362222-2-2-2-2222222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000-2-222002-200000000
χ372222-2-2-2-2-2-22-1-1-122222-1-1-1-1-1-1-1-1-1-2-2111111-2-211111122-2-22i2i−2i−2i-2111-211122-1-1-1-1-1-12i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii2i−2i22-1-1-1-1-1-1-2-21111112i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000000000
χ382222-2-2-2-2-2-22-1-1-122222-1-1-1-1-1-1-1-1-1-2-2111111-2-211111122-2-2−2i−2i2i2i-2111-211122-1-1-1-1-1-1−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i2i22-1-1-1-1-1-1-2-2111111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000000000
χ392222-2-2-2-2-2-22-1-1-122222-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2222i2i−2i−2i-2111-211122-1-1-1-1-1-12i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii−2i2i-2-211111122-1-1-1-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i0000000000000000
χ402222-2-2-2-2-2-22-1-1-122222-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-222−2i−2i2i2i-2111-211122-1-1-1-1-1-1−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i2i−2i-2-211111122-1-1-1-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii0000000000000000
χ412222-2-2-2-2-2-2-12-1-122-1-1-1222-1-1-1-1-1-111-2-2111111-2-2111122-2-22i2i−2i−2i1-2111-211-1-122-1-1-1-1−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii2i−2i-1-122-1-1-1-111-2-21111−i−i2i2i−i−i−i−iii−2i−2iiiii0000000000000000
χ422222-2-2-2-2-2-2-12-1-122-1-1-1222-1-1-1-1-1-111-2-2111111-2-2111122-2-2−2i−2i2i2i1-2111-211-1-122-1-1-1-1iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i−2i2i-1-122-1-1-1-111-2-21111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000000000000000
χ432222-2-2-2-2-2-2-12-1-122-1-1-1222-1-1-1-1-1-111-2-2111111-2-21111-2-2222i2i−2i−2i1-2111-211-1-122-1-1-1-1−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii−2i2i11-2-21111-1-122-1-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i0000000000000000
χ442222-2-2-2-2-2-2-12-1-122-1-1-1222-1-1-1-1-1-111-2-2111111-2-21111-2-222−2i−2i2i2i1-2111-211-1-122-1-1-1-1iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i2i−2i11-2-21111-1-122-1-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii0000000000000000
χ452222-2-2-2-2-2-2-1-12-122-1-1-1-1-1-1222-1-1-11111-2-2111111-2-21122-2-22i2i−2i−2i11-2111-21-1-1-1-122-1-1−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−iiiiiiiii−2i−2i−2i−2iiiii2i−2i-1-1-1-122-1-11111-2-211−i−i−i−i2i2i−i−iiiii−2i−2iii0000000000000000
χ462222-2-2-2-2-2-2-1-12-122-1-1-1-1-1-1222-1-1-11111-2-2111111-2-21122-2-2−2i−2i2i2i11-2111-21-1-1-1-122-1-1iiiiiiii−2i−2i−2i−2iiiii−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−i−2i2i-1-1-1-122-1-11111-2-211iiii−2i−2iii−i−i−i−i2i2i−i−i0000000000000000
χ472222-2-2-2-2-2-2-1-12-122-1-1-1-1-1-1222-1-1-11111-2-2111111-2-211-2-2222i2i−2i−2i11-2111-21-1-1-1-122-1-1−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−iiiiiiiii−2i−2i−2i−2iiiii−2i2i1111-2-211-1-1-1-122-1-1iiii−2i−2iii−i−i−i−i2i2i−i−i0000000000000000
χ482222-2-2-2-2-2-2-1-12-122-1-1-1-1-1-1222-1-1-11111-2-2111111-2-211-2-222−2i−2i2i2i11-2111-21-1-1-1-122-1-1iiiiiiii−2i−2i−2i−2iiiii−i−i−i−i−i−i−i−i2i2i2i2i−i−i−i−i2i−2i1111-2-211-1-1-1-122-1-1−i−i−i−i2i2i−i−iiiii−2i−2iii0000000000000000
χ492222-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-222-2-22i2i−2i−2i111-2111-2-1-1-1-1-1-122−i−i−i−i−i−i−i−i−i−i−i−i2i2i2i2iiiiiiiiiiiii−2i−2i−2i−2i2i−2i-1-1-1-1-1-122111111-2-2−i−i−i−i−i−i2i2iiiiiii−2i−2i0000000000000000
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χ1494-4-44−4i4i4i−4i00-2-2-240022-222-222-2-4-442i−2i2i−2i2i−2i−4i4i−2i2i−2i2i−2i2i4i−4i000000000000000000000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ110000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11000000000000000000000000000000000000000000000000000000
χ1504-4-44−4i4i4i−4i00-2-2-240022-222-222-2-4-442i−2i2i−2i2i−2i−4i4i−2i2i−2i2i−2i2i4i−4i000000000000000000000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ110000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.