Finite Group Databasebeta

← Group #13178281

Character table — Group #13178281

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888999999999999181818181818181818181818181818181818181818181818181818181818363636363636363636363636363636363636
order1222223334444666666666333336666666666666666666661212121212121212121212126666666666121212121212121212121212121212121212121222224444444422222244444444444466661212121212121212666666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111
χ5111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ7111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ8111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111
χ91111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ101111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111
χ111111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111
χ121111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1
χ131111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ141111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111
χ151111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111
χ161111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-111-1-1
χ171-11-11-1111i−ii−i1-1-111-1-1-1-11111111-1-11-111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−ii−iii−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i11-1-1ii−i−iii−i−i1-11-11-1i−i1-11-1i−ii−ii−i11-1-1ii−i−iii−i−i1-11-11-11-11-1i−ii−ii−ii−i
χ181-11-11-1111i−ii−i1-1-111-1-1-1-11111111-1-11-111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−ii−iii−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i11-1-1−i−iii−i−iii1-1-11-11i−i-11-11i−i−ii−ii11-1-1−i−iii−i−iii-11-111-1-11-11i−ii−i−ii−ii
χ191-11-11-1111i−ii−i1-1-111-1-1-1-11111111-1-11-111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−ii−iii−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-1-111ii−i−i−i−iii-111-1-11−ii1-1-11−iii−i−ii-1-111ii−i−i−i−iii1-1-11-111-1-11−ii−iii−i−ii
χ201-11-11-1111i−ii−i1-1-111-1-1-1-11111111-1-11-111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−ii−iii−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-1-111−i−iiiii−i−i-11-111-1−ii-111-1−ii−iii−i-1-111−i−iiiii−i−i-111-1-11-111-1−ii−ii−iii−i
χ211-11-11-1111−ii−ii1-1-111-1-1-1-11111111-1-11-111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii−ii−i−iii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii11-1-1ii−i−iii−i−i1-1-11-11−ii-11-11−iii−ii−i11-1-1ii−i−iii−i−i-11-111-1-11-11−ii−iii−ii−i
χ221-11-11-1111−ii−ii1-1-111-1-1-1-11111111-1-11-111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii−ii−i−iii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii11-1-1−i−iii−i−iii1-11-11-1−ii1-11-1−ii−ii−ii11-1-1−i−iii−i−iii1-11-11-11-11-1−ii−ii−ii−ii
χ231-11-11-1111−ii−ii1-1-111-1-1-1-11111111-1-11-111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii−ii−i−iii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-1-111ii−i−i−i−iii-11-111-1i−i-111-1i−ii−i−ii-1-111ii−i−i−i−iii-111-1-11-111-1i−ii−ii−i−ii
χ241-11-11-1111−ii−ii1-1-111-1-1-1-11111111-1-11-111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii−ii−i−iii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-1-111−i−iiiii−i−i-111-1-11i−i1-1-11i−i−iii−i-1-111−i−iiiii−i−i1-1-11-111-1-11i−ii−i−iii−i
χ251-11-1-11111i−i−ii1-1-111-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i−ii−i−iii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii11-1-1ii−i−iii−i−i-11-11-11i−i1-11-1−ii−ii−ii11-1-1ii−i−iii−i−i-11-11-111-11-1i−i−ii−ii−ii
χ261-11-1-11111i−i−ii1-1-111-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i−ii−i−iii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii11-1-1−i−iii−i−iii-111-11-1i−i-11-11−iii−ii−i11-1-1−i−iii−i−iii1-11-1-11-11-11i−i−iii−ii−i
χ271-11-1-11111i−i−ii1-1-111-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i−ii−i−iii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-1-111ii−i−i−i−iii1-1-111-1−ii1-1-11i−i−iii−i-1-111ii−i−i−i−iii-111-11-11-1-11−iii−i−iii−i
χ281-11-1-11111i−i−ii1-1-111-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i−ii−i−iii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-1-111−i−iiiii−i−i1-11-1-11−ii-111-1i−ii−i−ii-1-111−i−iiiii−i−i1-1-111-1-111-1−iii−ii−i−ii
χ291-11-1-11111−iii−i1-1-111-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1−i−iii−iii−iii−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i11-1-1ii−i−iii−i−i-111-11-1−ii-11-11i−i−ii−ii11-1-1ii−i−iii−i−i1-11-1-11-11-11−iii−i−ii−ii
χ301-11-1-11111−iii−i1-1-111-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1−i−iii−iii−iii−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i11-1-1−i−iii−i−iii-11-11-11−ii1-11-1i−ii−ii−i11-1-1−i−iii−i−iii-11-11-111-11-1−iii−ii−ii−i
χ311-11-1-11111−iii−i1-1-111-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1−i−iii−iii−iii−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-1-111ii−i−i−i−iii1-11-1-11i−i-111-1−ii−iii−i-1-111ii−i−i−i−iii1-1-111-1-111-1i−i−ii−iii−i
χ321-11-1-11111−iii−i1-1-111-1-1-1-111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1−i−iii−iii−iii−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-1-111−i−iiiii−i−i1-1-111-1i−i1-1-11−iii−i−ii-1-111−i−iiiii−i−i-111-11-11-1-11i−i−iii−i−ii
χ3322222222-12222-12222-1-1222-1-1-1-12222-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-122222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1222200000000220000220000220000-1-1-1-1000000000000-1-10000-1-1-1-10000
χ3422222222-12222-12222-1-1222-1-1-1-12222-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-122222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-2-2-200000000-2-20000-2-20000-2-20000111100000000000011000011110000
χ3522222222-1-2-2-2-2-12222-1-1222-1-1-1-12222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22-1-1-1-12-1-1-1-1-21111-21111-21111-21111222200000000220000-2-20000-2-20000-1-1-1-1000000000000-1-1000011110000
χ3622222222-1-2-2-2-2-12222-1-1222-1-1-1-12222-1-12-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-22-1-1-1-12-1-1-1-1-21111-21111-21111-21111-2-2-2-200000000-2-200002200002200001111000000000000110000-1-1-1-10000
χ372222222-12222222-12-1222-1-12-1-1-12-12-122-12-1-1-1-1-122-1-1-1-1-1-12-12-122222-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-100000000222200002200002200002200000000-1-1-1-100-1-10000-1-1000000-1-1
χ382222222-12222222-12-1222-1-12-1-1-12-12-122-12-1-1-1-1-122-1-1-1-1-1-12-12-122222-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-100000000-2-2-2-20000-2-20000-2-20000-2-2000000001111001100001100000011
χ392222222-12-2-2-2-222-12-1222-1-12-1-1-12-12-122-12-1-1-1-1-122-1-1-1-1-1-1-21-21-2-2-2-2-21-21-12-1-1-1-12-1-1-11-21111-21111-21111-21110000000022220000-2-20000-2-200002200000000-1-1-1-10011000011000000-1-1
χ402222222-12-2-2-2-222-12-1222-1-12-1-1-12-12-122-12-1-1-1-1-122-1-1-1-1-1-1-21-21-2-2-2-2-21-21-12-1-1-1-12-1-1-11-21111-21111-21111-211100000000-2-2-2-20000220000220000-2-200000000111100-1-10000-1-100000011
χ41222222-12222222-12-1222-12-1-12-1-1-12-1222-1-12-1-1-1-1-1-122-1-1-1-1-12-122222-12-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-10000222200000022000022000022000000-1-1-1-10000-1-10000-1-1000000-1-100
χ42222222-12222222-12-1222-12-1-12-1-1-12-1222-1-12-1-1-1-1-1-122-1-1-1-1-12-122222-12-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-10000-2-2-2-2000000-2-20000-2-20000-2-200000011110000110000110000001100
χ43222222-122-2-2-2-22-12-1222-12-1-12-1-1-12-1222-1-12-1-1-1-1-1-122-1-1-1-11-21-2-2-2-2-21-21-2-1-12-1-1-1-12-1-111-21111-21111-21111-21100002222000000-2-20000-2-2000022000000-1-1-1-1000011000011000000-1-100
χ44222222-122-2-2-2-22-12-1222-12-1-12-1-1-12-1222-1-12-1-1-1-1-1-122-1-1-1-11-21-2-2-2-2-21-21-2-1-12-1-1-1-12-1-111-21111-21111-21111-2110000-2-2-2-2000000220000220000-2-200000011110000-1-10000-1-10000001100
χ452222-2-222-122-2-2-12222-1-1222-1-1-1-1-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-12222-1-111-2-2-2-2-21111-211112-1-1-1-12-1-1-1-1-21111-21111222200000000-2-20000220000-2-20000-1-1-1-1000000000000110000-1-1110000
χ462222-2-222-122-2-2-12222-1-1222-1-1-1-1-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-12222-1-111-2-2-2-2-21111-211112-1-1-1-12-1-1-1-1-21111-21111-2-2-2-200000000220000-2-200002200001111000000000000-1-1000011-1-10000
χ472222-2-222-1-2-222-12222-1-1222-1-1-1-1-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211-1-12222-21111-21111-21111-211112-1-1-1-12-1-1-1-1222200000000-2-20000-2-20000220000-1-1-1-100000000000011000011-1-10000
χ482222-2-222-1-2-222-12222-1-1222-1-1-1-1-2-2-2-2112-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211-1-12222-21111-21111-21111-211112-1-1-1-12-1-1-1-1-2-2-2-200000000220000220000-2-200001111000000000000-1-10000-1-1110000
χ492222-2-22-1222-2-222-12-1222-1-12-1-1-1-21-21-2-2-12-1-1-1-1-122-1-1-1-1-1-12-12-122-2-2-21-211-21111-2111-12-1-1-1-12-1-1-11-21111-21110000000022220000-2-20000220000-2-200000000-1-1-1-100110000-1-100000011
χ502222-2-22-1222-2-222-12-1222-1-12-1-1-1-21-21-2-2-12-1-1-1-1-122-1-1-1-1-1-12-12-122-2-2-21-211-21111-2111-12-1-1-1-12-1-1-11-21111-211100000000-2-2-2-20000220000-2-200002200000000111100-1-1000011000000-1-1
χ512222-2-22-12-2-22222-12-1222-1-12-1-1-1-21-21-2-2-12-1-1-1-1-122-1-1-1-1-1-1-21-21-2-2222-12-11-21111-21111-21111-2111-12-1-1-1-12-1-1-10000000022220000220000-2-20000-2-200000000-1-1-1-100-1-100001100000011
χ522222-2-22-12-2-22222-12-1222-1-12-1-1-1-21-21-2-2-12-1-1-1-1-122-1-1-1-1-1-1-21-21-2-2222-12-11-21111-21111-21111-2111-12-1-1-1-12-1-1-100000000-2-2-2-20000-2-200002200002200000000111100110000-1-1000000-1-1
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.