Finite Group Databasebeta

← Group #11923160

Character table — Group #11923160

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222333344444466666633336666666666999912121212121218181818181844448888888888121212121616161616162424242424244444888888888812121212161616161616242424242424
order12223444444666444412121212121244444422226444444666444412121212121244444436663121212121212666121212121212121212121212121212123666312121212121266612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ31111111-1-1-1-11111111-1-111-1-1-1-111-1-11111111-1-1-1-11111111-1-111-1-1-1-111-1-11111111-1-1-1-11111111-1-111-1-1-1-111-1-11111111-1-1-1-11111111-1-111-1-1-1-111-1-1
χ41111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111
χ511111-1-111-1-11111111-1-1-1-111-1-1-1-11111111-1-111-1-11111111-1-1-1-111-1-1-1-11111111-1-111-1-11111111-1-1-1-111-1-1-1-11111111-1-111-1-11111111-1-1-1-111-1-1-1-111
χ611111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-1
χ711111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-111111111111-1-1-1-111-1-1-1-1
χ811111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111
χ91-1-111i−ii−i1-1-11-1ii−i−i1-1i−ii−ii−i1-11-11-1-111i−ii−i1-1-11-1ii−i−i1-1i−ii−ii−i1-11-11-1-111i−ii−i1-1-11-1ii−i−i1-1i−ii−ii−i1-11-11-1-111i−ii−i1-1-11-1ii−i−i1-1i−ii−ii−i1-11-1
χ101-1-111i−ii−i1-1-11-1−i−iii1-1i−ii−i−ii-11-111-1-111i−ii−i1-1-11-1−i−iii1-1i−ii−i−ii-11-111-1-111i−ii−i1-1-11-1−i−iii1-1i−ii−i−ii-11-111-1-111i−ii−i1-1-11-1−i−iii1-1i−ii−i−ii-11-11
χ111-1-111i−i−ii-11-11-1ii−i−i-11i−i−ii−ii1-1-111-1-111i−i−ii-11-11-1ii−i−i-11i−i−ii−ii1-1-111-1-111i−i−ii-11-11-1ii−i−i-11i−i−ii−ii1-1-111-1-111i−i−ii-11-11-1ii−i−i-11i−i−ii−ii1-1-11
χ121-1-111i−i−ii-11-11-1−i−iii-11i−i−iii−i-111-11-1-111i−i−ii-11-11-1−i−iii-11i−i−iii−i-111-11-1-111i−i−ii-11-11-1−i−iii-11i−i−iii−i-111-11-1-111i−i−ii-11-11-1−i−iii-11i−i−iii−i-111-1
χ131-1-111−iii−i-11-11-1ii−i−i-11−iii−i−ii-111-11-1-111−iii−i-11-11-1ii−i−i-11−iii−i−ii-111-11-1-111−iii−i-11-11-1ii−i−i-11−iii−i−ii-111-11-1-111−iii−i-11-11-1ii−i−i-11−iii−i−ii-111-1
χ141-1-111−iii−i-11-11-1−i−iii-11−iii−ii−i1-1-111-1-111−iii−i-11-11-1−i−iii-11−iii−ii−i1-1-111-1-111−iii−i-11-11-1−i−iii-11−iii−ii−i1-1-111-1-111−iii−i-11-11-1−i−iii-11−iii−ii−i1-1-11
χ151-1-111−ii−ii1-1-11-1ii−i−i1-1−ii−iii−i-11-111-1-111−ii−ii1-1-11-1ii−i−i1-1−ii−iii−i-11-111-1-111−ii−ii1-1-11-1ii−i−i1-1−ii−iii−i-11-111-1-111−ii−ii1-1-11-1ii−i−i1-1−ii−iii−i-11-11
χ161-1-111−ii−ii1-1-11-1−i−iii1-1−ii−ii−ii1-11-11-1-111−ii−ii1-1-11-1−i−iii1-1−ii−ii−ii1-11-11-1-111−ii−ii1-1-11-1−i−iii1-1−ii−ii−ii1-11-11-1-111−ii−ii1-1-11-1−i−iii1-1−ii−ii−ii1-11-1
χ172222-1222222-1-1-10000-1-1-1-1-1-10000002222-1222222-1-1-10000-1-1-1-1-1-10000002222-1222222-1-1-10000-1-1-1-1-1-10000002222-1222222-1-1-10000-1-1-1-1-1-1000000
χ182222-122-2-2-2-2-1-1-1000011-1-1110000002222-122-2-2-2-2-1-1-1000011-1-1110000002222-122-2-2-2-2-1-1-1000011-1-1110000002222-122-2-2-2-2-1-1-1000011-1-111000000
χ192222-1-2-222-2-2-1-1-100001111-1-10000002222-1-2-222-2-2-1-1-100001111-1-10000002222-1-2-222-2-2-1-1-100001111-1-10000002222-1-2-222-2-2-1-1-100001111-1-1000000
χ202222-1-2-2-2-222-1-1-10000-1-111110000002222-1-2-2-2-222-1-1-10000-1-111110000002222-1-2-2-2-222-1-1-10000-1-111110000002222-1-2-2-2-222-1-1-10000-1-11111000000
χ2122-2-220000002-2-22-22-200000000000022-2-220000002-2-22-22-200000000000022-2-220000002-2-22-22-200000000000022-2-220000002-2-22-22-2000000000000
χ2222-2-220000002-2-2-22-2200000000000022-2-220000002-2-2-22-2200000000000022-2-220000002-2-2-22-2200000000000022-2-220000002-2-2-22-22000000000000
χ232-22-22000000-2-222i−2i−2i2i0000000000002-22-22000000-2-222i−2i−2i2i0000000000002-22-22000000-2-222i−2i−2i2i0000000000002-22-22000000-2-222i−2i−2i2i000000000000
χ242-22-22000000-2-22−2i2i2i−2i0000000000002-22-22000000-2-22−2i2i2i−2i0000000000002-22-22000000-2-22−2i2i2i−2i0000000000002-22-22000000-2-22−2i2i2i−2i000000000000
χ252-2-22-12i−2i2i−2i2-21-110000-11−ii−ii0000002-2-22-12i−2i2i−2i2-21-110000-11−ii−ii0000002-2-22-12i−2i2i−2i2-21-110000-11−ii−ii0000002-2-22-12i−2i2i−2i2-21-110000-11−ii−ii000000
χ262-2-22-12i−2i−2i2i-221-1100001-1−iii−i0000002-2-22-12i−2i−2i2i-221-1100001-1−iii−i0000002-2-22-12i−2i−2i2i-221-1100001-1−iii−i0000002-2-22-12i−2i−2i2i-221-1100001-1−iii−i000000
χ272-2-22-1−2i2i2i−2i-221-1100001-1i−i−ii0000002-2-22-1−2i2i2i−2i-221-1100001-1i−i−ii0000002-2-22-1−2i2i2i−2i-221-1100001-1i−i−ii0000002-2-22-1−2i2i2i−2i-221-1100001-1i−i−ii000000
χ282-2-22-1−2i2i−2i2i2-21-110000-11i−ii−i0000002-2-22-1−2i2i−2i2i2-21-110000-11i−ii−i0000002-2-22-1−2i2i−2i2i2-21-110000-11i−ii−i0000002-2-22-1−2i2i−2i2i2-21-110000-11i−ii−i000000
χ2944-4-4-2000000-222000000000000000044-4-4-2000000-222000000000000000044-4-4-2000000-222000000000000000044-4-4-2000000-2220000000000000000
χ304-44-4-200000022-200000000000000004-44-4-200000022-200000000000000004-44-4-200000022-200000000000000004-44-4-200000022-20000000000000000
χ31111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3211111111111111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ331111111-1-1-1-11111111-1-111-1-1-1-111-1-11111111-1-1-1-11111111-1-111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ341111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ3511111-1-111-1-11111111-1-1-1-111-1-1-1-11111111-1-111-1-11111111-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3611111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-111111-1-111-1-1111-1-1-1-1-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ3711111-1-1-1-111111111111-1-1-1-111-1-1-1-111111-1-1-1-111111111111-1-1-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ3811111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ391-1-111i−ii−i1-1-11-1ii−i−i1-1i−ii−ii−i1-11-11-1-111i−ii−i1-1-11-1ii−i−i1-1i−ii−ii−i1-11-1−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7ζ7−ζ7−1+i321−i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11ζ11−ζ11−1−i321+i32−1−i321+i32
χ401-1-111i−ii−i1-1-11-1−i−iii1-1i−ii−i−ii-11-111-1-111i−ii−i1-1-11-1−i−iii1-1i−ii−i−ii-11-11−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32ζ7−ζ7ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32ζ11−ζ11ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i32
χ411-1-111i−i−ii-11-11-1ii−i−i-11i−i−ii−ii1-1-111-1-111i−i−ii-11-11-1ii−i−i-11i−i−ii−ii1-1-11−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−1−i32
χ421-1-111i−i−ii-11-11-1−i−iii-11i−i−iii−i-111-11-1-111i−i−ii-11-11-1−i−iii-11i−i−iii−i-111-1−1+i321−i321−i32−1+i32−1+i32ζ7−ζ7−ζ7ζ71−i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i32ζ11−ζ11−ζ11ζ111+i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32
χ431-1-111−iii−i-11-11-1ii−i−i-11−iii−i−ii-111-11-1-111−iii−i-11-11-1ii−i−i-11−iii−i−ii-111-1−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32
χ441-1-111−iii−i-11-11-1−i−iii-11−iii−ii−i1-1-111-1-111−iii−i-11-11-1−i−iii-11−iii−ii−i1-1-11−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32−ζ7ζ7ζ7−ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32−ζ11ζ11ζ11−ζ11ζ11−ζ11−1−i321+i321+i32−1−i32
χ451-1-111−ii−ii1-1-11-1ii−i−i1-1−ii−iii−i-11-111-1-111−ii−ii1-1-11-1ii−i−i1-1−ii−iii−i-11-11−1+i321−i321−i32−1+i32−1+i32−ζ7ζ7−ζ7ζ7−1+i321−i321−i32−1+i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32−ζ7ζ7−ζ7ζ7ζ7−ζ71−i32−1+i321−i32−1+i32−1−i321+i321+i32−1−i32−1−i32−ζ11ζ11−ζ11ζ11−1−i321+i321+i32−1−i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32−ζ11ζ11−ζ11ζ11ζ11−ζ111+i32−1−i321+i32−1−i32
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.