Finite Group Databasebeta

← Group #13178298

Character table — Group #13178298

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888999999999999181818181818181818181818181818181818181818181818181818181818363636363636363636363636363636363636
order12223334444446666666663333366666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222224444444444444444444444444466661212121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1
χ5111111111-1-1-1-111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1
χ6111111111-1-1-1-111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ7111111111-1-1-1-111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111
χ8111111111-1-1-1-111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111
χ91111111-1-111-1-111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-111
χ101111111-1-111-1-111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ111111111-1-111-1-111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1
χ121111111-1-111-1-111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1
χ131111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ141111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1
χ151111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111
χ161111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111
χ171-1-11111i−ii−i1-1-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-11-1ii−i−iii−i−i11-1-1i−ii−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i11-1-1ii−i−iii−i−ii−ii−ii−ii−i1-11-11-11-11-111-1-1ii−i−iii−i−i1-1i−ii−i1-11-11-11-1i−ii−i
χ181-1-11111i−ii−i1-1-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-11-1ii−i−iii−i−i11-1-1i−ii−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i11-1-1−i−iii−i−iiii−ii−i−ii−ii1-1-11-11-11-1111-1-1−i−iii−i−iii1-1−ii−ii-11-11-11-11i−ii−i
χ191-1-11111i−ii−i1-1-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-11-1ii−i−iii−i−i11-1-1i−ii−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-1-111ii−i−i−i−iii−ii−iii−i−ii-111-11-1-11-11-1-111ii−i−i−i−iii-11i−i−ii1-11-1-11-11−ii−ii
χ201-1-11111i−ii−i1-1-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-11-1ii−i−iii−i−i11-1-1i−ii−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-1-111−i−iiiii−i−i−ii−ii−iii−i-11-11-111-11-1-1-111−i−iiiii−i−i-11−iii−i-11-111-11-1−ii−ii
χ211-1-11111i−i−ii-11-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-1-11ii−i−i−i−iii-1-111i−i−ii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii11-1-1ii−i−iii−i−ii−i−ii−ii−ii-111-1-111-1-1111-1-1ii−i−iii−i−i-11−ii−ii1-1-111-1-11i−i−ii
χ221-1-11111i−i−ii-11-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-1-11ii−i−i−i−iii-1-111i−i−ii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii11-1-1−i−iii−i−iiii−i−iii−ii−i-11-111-1-111-111-1-1−i−iii−i−iii-11i−ii−i-111-1-111-1i−i−ii
χ231-1-11111i−i−ii-11-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-1-11ii−i−i−i−iii-1-111i−i−ii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-1-111ii−i−i−i−iii−iii−i−iii−i1-11-1-11-111-1-1-111ii−i−i−i−iii1-1−iii−i1-1-11-111-1−iii−i
χ241-1-11111i−i−ii-11-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-1-11ii−i−i−i−iii-1-111i−i−ii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-1-111−i−iiiii−i−i−iii−ii−i−ii1-1-111-11-1-11-1-111−i−iiiii−i−i1-1i−i−ii-111-11-1-11−iii−i
χ251-1-11111−iii−i-11-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-1-11−i−iiiii−i−i-1-111−iii−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i11-1-1ii−i−iii−i−i−iii−i−ii−ii-11-111-1-111-111-1-1ii−i−iii−i−i-11−ii−ii-111-1-111-1−iii−i
χ261-1-11111−iii−i-11-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-1-11−i−iiiii−i−i-1-111−iii−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i11-1-1−i−iii−i−iii−iii−ii−ii−i-111-1-111-1-1111-1-1−i−iii−i−iii-11i−ii−i1-1-111-1-11−iii−i
χ271-1-11111−iii−i-11-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-1-11−i−iiiii−i−i-1-111−iii−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-1-111ii−i−i−i−iiii−i−ii−iii−i1-1-111-11-1-11-1-111ii−i−i−i−iii1-1−iii−i-111-11-1-11i−i−ii
χ281-1-11111−iii−i-11-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-1-11−i−iiiii−i−i-1-111−iii−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-1-111−i−iiiii−i−ii−i−iii−i−ii1-11-1-11-111-1-1-111−i−iiiii−i−i1-1i−i−ii1-1-11-111-1i−i−ii
χ291-1-11111−ii−ii1-1-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-11-1−i−iii−i−iii11-1-1−ii−ii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii11-1-1ii−i−iii−i−i−ii−iii−ii−i1-1-11-11-11-1111-1-1ii−i−iii−i−i1-1i−ii−i-11-11-11-11−ii−ii
χ301-1-11111−ii−ii1-1-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-11-1−i−iii−i−iii11-1-1−ii−ii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii11-1-1−i−iii−i−iii−ii−ii−ii−ii1-11-11-11-11-111-1-1−i−iii−i−iii1-1−ii−ii1-11-11-11-1−ii−ii
χ311-1-11111−ii−ii1-1-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-11-1−i−iii−i−iii11-1-1−ii−ii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-1-111ii−i−i−i−iiii−ii−ii−i−ii-11-11-111-11-1-1-111ii−i−i−i−iii-11i−i−ii-11-111-11-1i−ii−i
χ321-1-11111−ii−ii1-1-1-1-11-1-111-111111-1-1-1-1-111111-1-1-1-1-11-1−i−iii−i−iii11-1-1−ii−ii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-1-111−i−iiiii−i−ii−ii−i−iii−i-111-11-1-11-11-1-111−i−iiiii−i−i-11−iii−i1-11-1-11-11i−ii−i
χ33222222-1222222-122-12222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-1-1222222222222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1222200000000222200002200000000-1-1-1-100000000-1-1000000000000-1-1-1-1
χ34222222-1222222-122-12222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-1-1222222222222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-200000000-2-2-2-20000-2-200000000111100000000110000000000001111
χ35222222-122-2-2-2-2-122-12222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1112222-2-2-2-2-2-2-2-2-1-111-21111-211112-1-1-1-12-1-1-1-1-21111-2111122220000000022-2-20000-2-200000000-1-1-1-10000000011000000000000-1-111
χ36222222-122-2-2-2-2-122-12222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1112222-2-2-2-2-2-2-2-2-1-111-21111-211112-1-1-1-12-1-1-1-1-21111-21111-2-2-2-200000000-2-22200002200000000111100000000-1-100000000000011-1-1
χ37222222-1-2-222-2-2-122-12222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-111-2-2-2-22222-2-2-2-211-1-1-21111-21111-21111-211112-1-1-1-12-1-1-1-1222200000000-2-2220000-2-200000000-1-1-1-1000000001100000000000011-1-1
χ38222222-1-2-222-2-2-122-12222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-111-2-2-2-22222-2-2-2-211-1-1-21111-21111-21111-211112-1-1-1-12-1-1-1-1-2-2-2-20000000022-2-200002200000000111100000000-1-1000000000000-1-111
χ39222222-1-2-2-2-222-122-12222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-1-1-2-2-2-2-2-2-2-2222211112-1-1-1-12-1-1-1-1-21111-21111-21111-21111222200000000-2-2-2-200002200000000-1-1-1-100000000-1-10000000000001111
χ40222222-1-2-2-2-222-122-12222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-1-1-2-2-2-2-2-2-2-2222211112-1-1-1-12-1-1-1-1-21111-21111-21111-21111-2-2-2-20000000022220000-2-20000000011110000000011000000000000-1-1-1-1
χ4122222-1222222222-122-12-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1222-12-12-12-12-12-12222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-100000000222200000022000000222200000000-1-1-1-10000-1-10000-1-1-1-10000
χ4222222-1222222222-122-12-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1222-12-12-12-12-12-12222-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-100000000-2-2-2-2000000-2-2000000-2-2-2-2000000001111000011000011110000
χ4322222-1222-2-2-2-222-122-12-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-2-22-12-1-21-21-21-2122-2-21-21111-2111-12-1-1-1-12-1-1-11-21111-2111000000002222000000-2-200000022-2-200000000-1-1-1-10000110000-1-1110000
χ4422222-1222-2-2-2-222-122-12-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-2-22-12-1-21-21-21-2122-2-21-21111-2111-12-1-1-1-12-1-1-11-21111-211100000000-2-2-2-200000022000000-2-2220000000011110000-1-1000011-1-10000
χ4522222-12-2-222-2-222-122-12-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-2-2-21-212-12-1-21-21-2-2221-21111-21111-21111-2111-12-1-1-1-12-1-1-1000000002222000000-2-2000000-2-22200000000-1-1-1-1000011000011-1-10000
χ4622222-12-2-222-2-222-122-12-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-2-2-21-212-12-1-21-21-2-2221-21111-21111-21111-2111-12-1-1-1-12-1-1-100000000-2-2-2-20000002200000022-2-20000000011110000-1-10000-1-1110000
χ4722222-12-2-2-2-22222-122-12-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-122-21-21-21-212-12-1-2-2-2-2-12-1-1-1-12-1-1-11-21111-21111-21111-211100000000222200000022000000-2-2-2-200000000-1-1-1-10000-1-1000011110000
χ4822222-12-2-2-2-22222-122-12-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-122-21-21-21-212-12-1-2-2-2-2-12-1-1-1-12-1-1-11-21111-21111-21111-211100000000-2-2-2-2000000-2-200000022220000000011110000110000-1-1-1-10000
χ492222-1222222222-122-12-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-122-12-12-12-12-12-122222-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-10000222200000000220000222200000000-1-1-1-1000000-1-100-1-1-1-100000000
χ502222-1222222222-122-12-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-122-12-12-12-12-12-122222-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-10000-2-2-2-200000000-2-20000-2-2-2-20000000011110000001100111100000000
χ512222-12222-2-2-2-22-122-12-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-2-2-12-121-21-21-21-222-2-211-21111-211-1-12-1-1-1-12-1-111-21111-2110000222200000000-2-2000022-2-200000000-1-1-1-10000001100-1-11100000000
χ522222-12222-2-2-2-22-122-12-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-2-2-12-121-21-21-21-222-2-211-21111-211-1-12-1-1-1-12-1-111-21111-2110000-2-2-2-200000000220000-2-222000000001111000000-1-10011-1-100000000
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χ1404-4-44-2-2-2−4i4i−4i4i4-4222-222-2-22111−1+3i32−1−3i32-1-1-11−3i321+3i32111−1+3i32−1−3i32-1-1-11−3i321+3i32-222i2i−2i−2i2i2i−2i−2i-2-2222i−2i2i−2i111−1+3i32−1−3i32-1-1-11−3i321+3i32−i−i−i−2ζ7+ζ11ζ7−2ζ11iii2ζ7−ζ11−ζ7+2ζ11−i−i−i−2ζ7+ζ11ζ7−2ζ11iii2ζ7−ζ11−ζ7+2ζ11000000000000000000000000000000000000000000000000000000000000
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χ1508-88-8-4-4-40000004444-4-444-4222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i3222−1+3i3−1−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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