Finite Group Databasebeta

← Group #11857999

Character table — Group #11857999

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222244444444444444444444444444444444444488888888888888888888888888888888888888888888888818181818181818181818181836363636363636363636
order12222234444666999181818181818181818224444446688881212121218181818181836363636363636363636363666121212121212181818181818242424243636363636363636363636363636363636367272727272727272727272722222444488882222444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111-1-111-1-1111111111111111111-1-111-1-1-1-111-1-11-1-11-1-1-1-1-1-1111-1-1-1-1-1-111111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1
χ101111-1-111-1-1111111111111111111-1-111-1-1-1-111-1-11-1-11-1-1-1-1-1-1111-1-1-1-1-1-111111-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111
χ111111-1-111-1-1111111111111111111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-111
χ121111-1-111-1-1111111111111111111-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-1-1-111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1111111-1-111-1-111-1-1
χ131111-1-111-1-11111111111111111-1-11111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-11111
χ141111-1-111-1-11111111111111111-1-11111-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-111-1-1-1-1
χ151111-1-111-1-11111111111111111-1-111-1-111-1-111-1-11-1-11-1-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1
χ161111-1-111-1-11111111111111111-1-111-1-111-1-111-1-11-1-11-1-1-1-1-1-1111-1-1-1-1-1-1111-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111
χ171-11-11-1111-1-1-11-1111-1-1-1111-1-1-11-11-1i−ii−i1-1i−ii−i11-1-1111-1-1-1111111-1-1-1-1-1-11-11-1i−ii−i111-1-1-1i−ii−i111-1-1-1iii−i−i−iiii−i−i−iiii−i−i−iiii−i−i−i1-11-11-11-1ii−i−i1-11-1i−ii−ii−i
χ181-11-11-1111-1-1-11-1111-1-1-1111-1-1-11-11-1i−ii−i1-1i−ii−i11-1-1111-1-1-1111111-1-1-1-1-1-11-11-1i−ii−i111-1-1-1i−ii−i111-1-1-1iii−i−i−iiii−i−i−iiii−i−i−iiii−i−i−i-11-11-11-11−i−iii-11-11−ii−ii−ii
χ191-11-11-1111-1-1-11-1111-1-1-1111-1-1-11-11-1−ii−ii1-1−ii−ii11-1-1111-1-1-1111111-1-1-1-1-1-11-11-1−ii−ii111-1-1-1−ii−ii111-1-1-1−i−i−iiii−i−i−iiii−i−i−iiii−i−i−iiii1-11-11-11-1−i−iii1-11-1−ii−ii−ii
χ201-11-11-1111-1-1-11-1111-1-1-1111-1-1-11-11-1−ii−ii1-1−ii−ii11-1-1111-1-1-1111111-1-1-1-1-1-11-11-1−ii−ii111-1-1-1−ii−ii111-1-1-1−i−i−iiii−i−i−iiii−i−i−iiii−i−i−iiii-11-11-11-11ii−i−i-11-11i−ii−ii−i
χ211-11-11-1111-1-1-11-1111-1-1-1111-1-1-1-11-11i−ii−i1-1−ii−ii11-1-1111-1-1-1111111-1-1-1-1-1-1-11-11i−ii−i-1-1-1111−ii−ii-1-1-1111iii−i−i−iiii−i−i−i−i−i−iiii−i−i−iiii1-11-11-11-1−i−iii-11-11i−ii−i−ii
χ221-11-11-1111-1-1-11-1111-1-1-1111-1-1-1-11-11i−ii−i1-1−ii−ii11-1-1111-1-1-1111111-1-1-1-1-1-1-11-11i−ii−i-1-1-1111−ii−ii-1-1-1111iii−i−i−iiii−i−i−i−i−i−iiii−i−i−iiii-11-11-11-11ii−i−i1-11-1−ii−iii−i
χ231-11-11-1111-1-1-11-1111-1-1-1111-1-1-1-11-11−ii−ii1-1i−ii−i11-1-1111-1-1-1111111-1-1-1-1-1-1-11-11−ii−ii-1-1-1111i−ii−i-1-1-1111−i−i−iiii−i−i−iiiiiii−i−i−iiii−i−i−i1-11-11-11-1ii−i−i-11-11−ii−iii−i
χ241-11-11-1111-1-1-11-1111-1-1-1111-1-1-1-11-11−ii−ii1-1i−ii−i11-1-1111-1-1-1111111-1-1-1-1-1-1-11-11−ii−ii-1-1-1111i−ii−i-1-1-1111−i−i−iiii−i−i−iiiiiii−i−i−iiii−i−i−i-11-11-11-11−i−iii1-11-1i−ii−i−ii
χ251-11-1-1111-11-1-11-1111-1-1-1111-1-1-11-1-11i−i−ii-11i−i−ii1-11-1-1-1-1111111-1-1-1111-1-1-11-1-11i−i−ii111-1-1-1i−i−ii-1-1-1111iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiii1-1-111-1-11ii−i−i1-1-11−iii−i−ii
χ261-11-1-1111-11-1-11-1111-1-1-1111-1-1-11-1-11i−i−ii-11i−i−ii1-11-1-1-1-1111111-1-1-1111-1-1-11-1-11i−i−ii111-1-1-1i−i−ii-1-1-1111iii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiii-111-1-111-1−i−iii-111-1i−i−iii−i
χ271-11-1-1111-11-1-11-1111-1-1-1111-1-1-11-1-11−iii−i-11−iii−i1-11-1-1-1-1111111-1-1-1111-1-1-11-1-11−iii−i111-1-1-1−iii−i-1-1-1111−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i1-1-111-1-11−i−iii1-1-11i−i−iii−i
χ281-11-1-1111-11-1-11-1111-1-1-1111-1-1-11-1-11−iii−i-11−iii−i1-11-1-1-1-1111111-1-1-1111-1-1-11-1-11−iii−i111-1-1-1−iii−i-1-1-1111−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i-111-1-111-1ii−i−i-111-1−iii−i−ii
χ291-11-1-1111-11-1-11-1111-1-1-1111-1-1-1-111-1i−i−ii-11−iii−i1-11-1-1-1-1111111-1-1-1111-1-1-1-111-1i−i−ii-1-1-1111−iii−i111-1-1-1iii−i−i−i−i−i−iiii−i−i−iiiiiii−i−i−i1-1-111-1-11−i−iii-111-1−iii−ii−i
χ301-11-1-1111-11-1-11-1111-1-1-1111-1-1-1-111-1i−i−ii-11−iii−i1-11-1-1-1-1111111-1-1-1111-1-1-1-111-1i−i−ii-1-1-1111−iii−i111-1-1-1iii−i−i−i−i−i−iiii−i−i−iiiiiii−i−i−i-111-1-111-1ii−i−i1-1-11i−i−ii−ii
χ311-11-1-1111-11-1-11-1111-1-1-1111-1-1-1-111-1−iii−i-11i−i−ii1-11-1-1-1-1111111-1-1-1111-1-1-1-111-1−iii−i-1-1-1111i−i−ii111-1-1-1−i−i−iiiiiii−i−i−iiii−i−i−i−i−i−iiii1-1-111-1-11ii−i−i-111-1i−i−ii−ii
χ321-11-1-1111-11-1-11-1111-1-1-1111-1-1-1-111-1−iii−i-11i−i−ii1-11-1-1-1-1111111-1-1-1111-1-1-1-111-1−iii−i-1-1-1111i−i−ii111-1-1-1−i−i−iiiiiii−i−i−iiii−i−i−i−i−i−iiii-111-1-111-1−i−iii1-1-11−iii−ii−i
χ3322222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ3422222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111111111111111111110000000000000000000000
χ3522222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222111111-2-2-2-2111111-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000
χ3622222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111112222111111111111111111-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ372222222-2-2-2-222222222222222200000000220000-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-2-2-22200000000000000
χ382222222-2-2-2-222222222222222200000000220000-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-22222-2-200000000000000
χ39222222-12222-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822222222-1-12222-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000000000000000000
χ40222222-12222-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ682222-2-2-2-2-1-1-2-2-2-2-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1-11111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681111ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000000000000000000
χ41222222-12222-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-2-2-2-22222-1-1-2-2-2-2-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ681111-1-1-1-1−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ681111−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ68−ζ44+ζ52−ζ68−ζ4+ζ44−ζ52ζ4+ζ680000000000000000000000
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Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.