Finite Group Databasebeta

← Group #13178299

Character table — Group #13178299

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888181818181818181818181818181818181818181818181818181818181818181818181818363636363636363636363636363636363636
order1222333444444666666666333336666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122244444444444444444444441212121212121212121212126612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111-1-1-1-11111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1
χ6111111111-1-1-1-11111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111
χ7111111111-1-1-1-11111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111
χ8111111111-1-1-1-11111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1
χ91111111-1-111-1-111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111
χ101111111-1-111-1-111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ111111111-1-111-1-111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ121111111-1-111-1-111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-111-1-1-1-111
χ131111111-1-1-1-11111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ141111111-1-1-1-11111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111
χ151111111-1-1-1-11111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111
χ161111111-1-1-1-11111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ171-1-11111i−ii−i1-1-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1i−ii−i1-1ii−i−iii−i−i11-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i1-1i−ii−ii−ii−ii−ii−i1-11-11-11-11-1ii−i−iii−i−i11-1-11-1i−ii−ii−ii−i1-11-11-11-1
χ181-1-11111i−ii−i1-1-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1i−ii−i1-1ii−i−iii−i−i11-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i1-1−ii−iii−ii−i−ii−ii1-1-11-11-11-11−i−iii−i−iii11-1-11-1−ii−iii−ii−i-11-11-11-11
χ191-1-11111i−ii−i1-1-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1i−ii−i1-1ii−i−iii−i−i11-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-11i−i−ii−ii−iii−i−ii-111-11-1-11-11ii−i−i−i−iii-1-111-11i−i−ii−ii−ii1-11-1-11-11
χ201-1-11111i−ii−i1-1-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1i−ii−i1-1ii−i−iii−i−i11-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-11−iii−i−ii−ii−iii−i-11-11-111-11-1−i−iiiii−i−i-1-111-11−iii−i−ii−ii-11-111-11-1
χ211-1-11111i−i−ii-11-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1i−i−ii-11ii−i−i−i−iii-1-111-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii1-1i−i−iii−i−ii−iii−i-111-1-111-1-11−i−iiiii−i−i-1-1111-1i−i−iii−i−ii1-1-111-1-11
χ221-1-11111i−i−ii-11-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1i−i−ii-11ii−i−i−i−iii-1-111-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii1-1−iii−ii−i−iii−i−ii-11-111-1-111-1ii−i−i−i−iii-1-1111-1−iii−ii−i−ii-111-1-111-1
χ231-1-11111i−i−ii-11-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1i−i−ii-11ii−i−i−i−iii-1-111-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-11i−ii−i−iii−i−ii−ii1-11-1-11-111-1−i−iii−i−iii11-1-1-11i−ii−i−iii−i1-1-11-111-1
χ241-1-11111i−i−ii-11-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1i−i−ii-11ii−i−i−i−iii-1-111-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-11−ii−ii−iii−ii−ii−i1-1-111-11-1-11ii−i−iii−i−i11-1-1-11−ii−ii−iii−i-111-11-1-11
χ251-1-11111−iii−i-11-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1−iii−i-11−i−iiiii−i−i-1-111-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i1-1i−i−ii−iii−i−iii−i-11-111-1-111-1−i−iiiii−i−i-1-1111-1i−i−ii−iii−i-111-1-111-1
χ261-1-11111−iii−i-11-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1−iii−i-11−i−iiiii−i−i-1-111-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i1-1−iii−i−iii−ii−i−ii-111-1-111-1-11ii−i−i−i−iii-1-1111-1−iii−i−iii−i1-1-111-1-11
χ271-1-11111−iii−i-11-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1−iii−i-11−i−iiiii−i−i-1-111-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-11i−ii−ii−i−ii−ii−ii1-1-111-11-1-11−i−iii−i−iii11-1-1-11i−ii−ii−i−ii-111-11-1-11
χ281-1-11111−iii−i-11-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1−iii−i-11−i−iiiii−i−i-1-111-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-11−ii−iii−i−iii−ii−i1-11-1-11-111-1ii−i−iii−i−i11-1-1-11−ii−iii−i−ii1-1-11-111-1
χ291-1-11111−ii−ii1-1-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1−ii−ii1-1−i−iii−i−iii11-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii1-1i−ii−i−ii−iii−ii−i1-1-11-11-11-11ii−i−iii−i−i11-1-11-1i−ii−i−ii−ii-11-11-11-11
χ301-1-11111−ii−ii1-1-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1−ii−ii1-1−i−iii−i−iii11-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii1-1−ii−ii−ii−ii−ii−ii1-11-11-11-11-1−i−iii−i−iii11-1-11-1−ii−ii−ii−ii1-11-11-11-1
χ311-1-11111−ii−ii1-1-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1−ii−ii1-1−i−iii−i−iii11-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-11i−i−iii−ii−ii−i−ii-11-11-111-11-1ii−i−i−i−iii-1-111-11i−i−iii−ii−i-11-111-11-1
χ321-1-11111−ii−ii1-1-1-1-11-1-1-11111111-1-1-1-1-111111-1-1-1-1-1−ii−ii1-1−i−iii−i−iii11-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-11−iii−ii−ii−i−iii−i-111-11-1-11-11−i−iiiii−i−i-1-111-11−iii−ii−ii−i1-11-1-11-11
χ33222222-1222222-122-122-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-122000022220000220000000000000000-1-1-1-1-1-10000-1-1-1-100000000
χ34222222-1222222-122-122-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-1-1-1-1-1-12222222222222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-2-20000-2-2-2-20000-2-200000000000000001111110000111100000000
χ35222222-122-2-2-2-2-122-122-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-1-111112222-2-2-2-2-2-2-2-2-21111-211112-1-1-1-12-1-1-1-1-21111-2111122000022-2-20000-2-200000000000000001111-1-10000-1-11100000000
χ36222222-122-2-2-2-2-122-122-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1-1-111112222-2-2-2-2-2-2-2-2-21111-211112-1-1-1-12-1-1-1-1-21111-21111-2-20000-2-2220000220000000000000000-1-1-1-111000011-1-100000000
χ37222222-1-2-222-2-2-122-122-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-111-1-111-2-2-2-22222-2-2-2-2-21111-21111-21111-211112-1-1-1-12-1-1-1-1220000-2-2220000-2-200000000000000001111-1-1000011-1-100000000
χ38222222-1-2-222-2-2-122-122-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-111-1-111-2-2-2-22222-2-2-2-2-21111-21111-21111-211112-1-1-1-12-1-1-1-1-2-2000022-2-20000220000000000000000-1-1-1-1110000-1-11100000000
χ39222222-1-2-2-2-222-122-122-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-11111-1-1-2-2-2-2-2-2-2-222222-1-1-1-12-1-1-1-1-21111-21111-21111-21111220000-2-2-2-20000220000000000000000-1-1-1-1-1-10000111100000000
χ40222222-1-2-2-2-222-122-122-1222-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-11111-1-1-2-2-2-2-2-2-2-222222-1-1-1-12-1-1-1-1-21111-21111-21111-21111-2-2000022220000-2-200000000000000001111110000-1-1-1-100000000
χ4122222-1222222222-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-12222222-12-12-12-12-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-10000220000002200000022220000-1-1-1-100000000-1-100000000-1-1-1-1
χ4222222-1222222222-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-12222222-12-12-12-12-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-10000-2-2000000-2-2000000-2-2-2-2000011110000000011000000001111
χ4322222-1222-2-2-2-222-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-122-2-2-2-22-12-1-21-21-21-211-21111-2111-12-1-1-1-12-1-1-11-21111-2111000022000000-2-2000000-2-2220000111100000000-1-10000000011-1-1
χ4422222-1222-2-2-2-222-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-122-2-2-2-22-12-1-21-21-21-211-21111-2111-12-1-1-1-12-1-1-11-21111-21110000-2-20000002200000022-2-20000-1-1-1-1000000001100000000-1-111
χ4522222-12-2-222-2-222-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-2-222-2-2-21-212-12-1-21-211-21111-21111-21111-2111-12-1-1-1-12-1-1-1000022000000-2-200000022-2-20000111100000000-1-100000000-1-111
χ4622222-12-2-222-2-222-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-2-222-2-2-21-212-12-1-21-211-21111-21111-21111-2111-12-1-1-1-12-1-1-10000-2-200000022000000-2-2220000-1-1-1-100000000110000000011-1-1
χ4722222-12-2-2-2-22222-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-222-21-21-21-212-12-1-12-1-1-1-12-1-1-11-21111-21111-21111-211100002200000022000000-2-2-2-20000-1-1-1-100000000-1-1000000001111
χ4822222-12-2-2-2-22222-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-222-21-21-21-212-12-1-12-1-1-1-12-1-1-11-21111-21111-21111-21110000-2-2000000-2-2000000222200001111000000001100000000-1-1-1-1
χ492222-1222222222-122-122-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1222222-12-12-12-12-12-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1002200000022000022220000-1-1-1-10000000000-1-1000000-1-1-1-10000
χ502222-1222222222-122-122-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1222222-12-12-12-12-12-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-100-2-2000000-2-20000-2-2-2-20000111100000000001100000011110000
χ512222-12222-2-2-2-22-122-122-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-122-2-2-2-2-12-121-21-21-21-211-21111-211-1-12-1-1-1-12-1-111-21111-2110022000000-2-2000022-2-2000011110000000000-1-1000000-1-1110000
χ522222-12222-2-2-2-22-122-122-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-122-2-2-2-2-12-121-21-21-21-211-21111-211-1-12-1-1-1-12-1-111-21111-21100-2-2000000220000-2-2220000-1-1-1-100000000001100000011-1-10000
χ532222-122-2-222-2-22-122-122-12-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-2-222-2-21-21-2-12-121-21-211-21111-21111-21111-211-1-12-1-1-1-12-1-10022000000-2-20000-2-222000011110000000000-1-100000011-1-10000
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χ13588-8-88-4-4000000-4-8448-44-84-4-422244-2-2-244-2-2-2-4-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-48-4000000-44-84-4844-8-42-4224-24-2-24-24-2-2-42-422000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1448-88-8-4-4-40000004-4-4444-444222−1+3i3−1−3i3222−1+3i3−1−3i3-2-2-21−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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