Finite Group Databasebeta

← Group #13178232

Character table — Group #13178232

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222244444444444444444444444444444444444444888888888888888888888888888888181818181818181818181818181818181818181818181818181818181818181818181818363636363636363636363636363636363636
order12222233344446666666663333366666666666666666666612121212121212121212121266666666661212121212121212121212121212121212121212222222224444444444444444666666661212121266661212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ7111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ8111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111
χ91111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1111111111111-1-1-1-111-1-111-1-111-1-1-1-1
χ101111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111
χ111111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111
χ121111-1-111111-1-111111111111111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1
χ131111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-111-1-111-1-111-1-1
χ141111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111
χ151111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111
χ161111-1-1111-1-11111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1
χ1711-1-11-1111i−ii−i11-1-1-1-1-1-11111111-111-1-111111-1-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i1-11-11-11-11-11-1i−ii−ii−ii−ii−ii−i11-1-111-1-111-1-11-11-1i−ii−ii−ii−ii−ii−i1-1
χ1811-1-11-1111i−ii−i11-1-1-1-1-1-11111111-111-1-111111-1-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i1-11-1-11-11-11-11i−ii−i−ii−ii−ii−ii11-1-1-1-111-1-1111-1-11i−ii−i−ii−ii−ii−ii-11
χ1911-1-11-1111i−ii−i11-1-1-1-1-1-11111111-111-1-111111-1-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-11-111-11-1-11-11−ii−iii−ii−i−ii−ii-1-11111-1-1-1-111-111-1−ii−iii−ii−i−ii−ii-11
χ2011-1-11-1111i−ii−i11-1-1-1-1-1-11111111-111-1-111111-1-1-1-1-1-1-1-1-1-1iii−i−i−iiii−i−i−i11111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i-11-11-11-111-11-1−ii−ii−ii−iii−ii−i-1-111-1-11111-1-1-11-11−ii−ii−ii−iii−ii−i1-1
χ2111-1-11-1111−ii−ii11-1-1-1-1-1-11111111-111-1-111111-1-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii1-11-11-11-11-11-1−ii−ii−ii−ii−ii−ii11-1-111-1-111-1-11-11-1−ii−ii−ii−ii−ii−ii1-1
χ2211-1-11-1111−ii−ii11-1-1-1-1-1-11111111-111-1-111111-1-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii1-11-1-11-11-11-11−ii−iii−ii−ii−ii−i11-1-1-1-111-1-1111-1-11−ii−iii−ii−ii−ii−i-11
χ2311-1-11-1111−ii−ii11-1-1-1-1-1-11111111-111-1-111111-1-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-11-111-11-1-11-11i−ii−i−ii−iii−ii−i-1-11111-1-1-1-111-111-1i−ii−i−ii−iii−ii−i-11
χ2411-1-11-1111−ii−ii11-1-1-1-1-1-11111111-111-1-111111-1-1-1-1-1-1-1-1-1-1−i−i−iiii−i−i−iiii11111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii-11-11-11-111-11-1i−ii−ii−ii−i−ii−ii-1-111-1-11111-1-1-11-11i−ii−ii−ii−i−ii−ii1-1
χ2511-1-1-11111i−i−ii11-1-1-1-1-1-1111111-11-1-11111111-1-1-1-1-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii1-1-111-1-111-1-11i−i−iii−i−iii−i−ii11-1-111-1-111-1-1-11-11i−i−iii−i−iii−i−ii-11
χ2611-1-1-11111i−i−ii11-1-1-1-1-1-1111111-11-1-11111111-1-1-1-1-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii1-1-11-111-1-111-1i−i−ii−iii−i−iii−i11-1-1-1-111-1-111-111-1i−i−ii−iii−i−iii−i1-1
χ2711-1-1-11111i−i−ii11-1-1-1-1-1-1111111-11-1-11111111-1-1-1-1-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-111-11-1-11-111-1−iii−ii−i−ii−iii−i-1-11111-1-1-1-1111-1-11−iii−ii−i−ii−iii−i1-1
χ2811-1-1-11111i−i−ii11-1-1-1-1-1-1111111-11-1-11111111-1-1-1-1-1-1-1-1-1-1iii−i−i−i−i−i−iiii-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii-111-1-111-11-1-11−iii−i−iii−ii−i−ii-1-111-1-11111-1-11-11-1−iii−i−iii−ii−i−ii-11
χ2911-1-1-11111−iii−i11-1-1-1-1-1-1111111-11-1-11111111-1-1-1-1-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i1-1-111-1-111-1-11−iii−i−iii−i−iii−i11-1-111-1-111-1-1-11-11−iii−i−iii−i−iii−i-11
χ3011-1-1-11111−iii−i11-1-1-1-1-1-1111111-11-1-11111111-1-1-1-1-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i1-1-11-111-1-111-1−iii−ii−i−iii−i−ii11-1-1-1-111-1-111-111-1−iii−ii−i−iii−i−ii1-1
χ3111-1-1-11111−iii−i11-1-1-1-1-1-1111111-11-1-11111111-1-1-1-1-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-111-11-1-11-111-1i−i−ii−iii−ii−i−ii-1-11111-1-1-1-1111-1-11i−i−ii−iii−ii−i−ii1-1
χ3211-1-1-11111−iii−i11-1-1-1-1-1-1111111-11-1-11111111-1-1-1-1-1-1-1-1-1-1−i−i−iiiiiii−i−i−i-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i-111-1-111-11-1-11i−i−iii−i−ii−iii−i-1-111-1-11111-1-11-11-1i−i−iii−i−ii−iii−i-11
χ3322222222-122222-12222-1-122-1-1-1-1222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-122-122-122-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-10000222200000000222200000000-1-1-1-1000000-1-10000-1-1-1-1000000
χ3422222222-122222-12222-1-122-1-1-1-1222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-122-122-122-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-10000-2-2-2-200000000-2-2-2-20000000011110000001100001111000000
χ3522222222-1-2-2-2-22-12222-1-122-1-1-1-1222-12-12-1-1-1-122-1-1-1-1-1-1-1-1-2-21-2-21-2-21-2-212-1-1-1-12-1-1-1-1-21111-21111-21111-211110000222200000000-2-2-2-200000000-1-1-1-1000000-1-100001111000000
χ3622222222-1-2-2-2-22-12222-1-122-1-1-1-1222-12-12-1-1-1-122-1-1-1-1-1-1-1-1-2-21-2-21-2-21-2-212-1-1-1-12-1-1-1-1-21111-21111-21111-211110000-2-2-2-2000000002222000000001111000000110000-1-1-1-1000000
χ372222222-122222-1222-1-1222-12-1-1-122-12-12-12-1-1-1-1-122-1-1-1-1-1-12-122-122-122-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1222200000000222200000000-1-1-1-100000000-1-100-1-1-1-10000000000
χ382222222-122222-1222-1-1222-12-1-1-122-12-12-12-1-1-1-1-122-1-1-1-1-1-12-122-122-122-12-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-2-2-2-200000000-2-2-2-200000000111100000000110011110000000000
χ392222222-12-2-2-2-2-1222-1-1222-12-1-1-122-12-12-12-1-1-1-1-122-1-1-1-1-1-1-21-2-21-2-21-2-21-2-12-1-1-1-12-1-1-11-21111-21111-21111-2111222200000000-2-2-2-200000000-1-1-1-100000000-1-10011110000000000
χ402222222-12-2-2-2-2-1222-1-1222-12-1-1-122-12-12-12-1-1-1-1-122-1-1-1-1-1-1-21-2-21-2-21-2-21-2-12-1-1-1-12-1-1-11-21111-21111-21111-2111-2-2-2-2000000002222000000001111000000001100-1-1-1-10000000000
χ41222222-122222222-1-12222-1-1-12-1-1-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-122-122-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-100000000222200000000222200000000-1-1-1-1000000000000-1-1-1-1-1-1
χ42222222-122222222-1-12222-1-1-12-1-1-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-122-122-122-122-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-12-1-100000000-2-2-2-200000000-2-2-2-2000000001111000000000000111111
χ43222222-122-2-2-2-222-1-12222-1-1-12-1-1-1-12222-1-12-1-1-1-1-1-122-1-1-1-11-2-21-2-21-2-21-2-2-1-12-1-1-1-12-1-111-21111-21111-21111-21100000000222200000000-2-2-2-200000000-1-1-1-10000000000001111-1-1
χ44222222-122-2-2-2-222-1-12222-1-1-12-1-1-1-12222-1-12-1-1-1-1-1-122-1-1-1-11-2-21-2-21-2-21-2-2-1-12-1-1-1-12-1-111-21111-21111-21111-21100000000-2-2-2-2000000002222000000001111000000000000-1-1-1-111
χ452222-2-222-122-2-22-12222-1-122-1-1-1-1-2-2-21-212-1-1-1-122-1-1-1-1-1-1-1-122-122-1-2-21-2-21-21111-211112-1-1-1-12-1-1-1-1-21111-21111000022-2-20000000022-2-200000000-1-1-1-1000000110000-1-111000000
χ462222-2-222-122-2-22-12222-1-122-1-1-1-1-2-2-21-212-1-1-1-122-1-1-1-1-1-1-1-122-122-1-2-21-2-21-21111-211112-1-1-1-12-1-1-1-1-21111-211110000-2-22200000000-2-222000000001111000000-1-1000011-1-1000000
χ472222-2-222-1-2-2222-12222-1-122-1-1-1-1-2-2-21-212-1-1-1-122-1-1-1-1-1-1-1-1-2-21-2-2122-122-1-21111-21111-21111-211112-1-1-1-12-1-1-1-1000022-2-200000000-2-22200000000-1-1-1-100000011000011-1-1000000
χ482222-2-222-1-2-2222-12222-1-122-1-1-1-1-2-2-21-212-1-1-1-122-1-1-1-1-1-1-1-1-2-21-2-2122-122-1-21111-21111-21111-211112-1-1-1-12-1-1-1-10000-2-2220000000022-2-2000000001111000000-1-10000-1-111000000
χ492222-2-22-1222-2-2-1222-1-1222-12-1-1-1-2-21-21-2-12-1-1-1-1-122-1-1-1-1-1-12-122-12-21-2-21-21-21111-2111-12-1-1-1-12-1-1-11-21111-211122-2-20000000022-2-200000000-1-1-1-1000000001100-1-1110000000000
χ502222-2-22-1222-2-2-1222-1-1222-12-1-1-1-2-21-21-2-12-1-1-1-1-122-1-1-1-1-1-12-122-12-21-2-21-21-21111-2111-12-1-1-1-12-1-1-11-21111-2111-2-22200000000-2-22200000000111100000000-1-10011-1-10000000000
χ512222-2-22-12-2-222-1222-1-1222-12-1-1-1-2-21-21-2-12-1-1-1-1-122-1-1-1-1-1-1-21-2-21-22-122-121-21111-21111-21111-2111-12-1-1-1-12-1-1-122-2-200000000-2-22200000000-1-1-1-100000000110011-1-10000000000
χ522222-2-22-12-2-222-1222-1-1222-12-1-1-1-2-21-21-2-12-1-1-1-1-122-1-1-1-1-1-1-21-2-21-22-122-121-21111-21111-21111-2111-12-1-1-1-12-1-1-1-2-2220000000022-2-200000000111100000000-1-100-1-1110000000000
χ532222-2-2-12222-2-222-1-12222-1-1-12-1-111-2-2-2-2-1-12-1-1-1-1-1-122-1-1-1-1-122-1221-2-21-2-211-21111-211-1-12-1-1-1-12-1-111-21111-2110000000022-2-20000000022-2-200000000-1-1-1-1000000000000-1-11111
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.