Finite Group Databasebeta

← Group #11921263

Character table — Group #11921263

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222226666111122222222226666444488888888882424242444448888888888242424244444888888888824242424444488888888882424242466661212121212121212121236363636
order12223446661212121244442222644666121212124444366631212666121212121212121236663121266612121212121212126666612126661212121212121212666661212666121212121212121244441244121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ311111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1
χ411111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111
χ51-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i
χ61-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii
χ71-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii
χ81-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i
χ92222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000
χ102222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000
χ1122-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-20000000022-2-2200-22-200000000
χ1222-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−3000022-2-2-1001-113−33−30000
χ1322-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−33000022-2-2-1001-11−33−330000
χ142-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii0000
χ152-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i0000
χ162-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-22000000002-2-22200-2-2200000000
χ172-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i30000
χ182-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i30000
χ19111111111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111
χ2011111111111111-1-1-1-111111111111111-1-1-1-1−1+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−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+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211111111111111-1-1-1-1
χ2111111-1-1111-1-1-1-111-1-111111-1-1111-1-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i3211111-1-1111-1-1-1-111-1-1
χ2211111-1-1111-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+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+i321−i321−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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i3211111-1-1111-1-1-1-1-1-111
χ231-11-11i−i1-1-1ii−i−i1-1i−i1-11-11i−i1-1-1ii−i−i1-1i−i−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ7−1+i321−i32ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ11−1−i321+i32ζ11−ζ111-11-11i−i1-1-1ii−i−i1-1i−i
χ241-11-11i−i1-1-1ii−i−i-11−ii1-11-11i−i1-1-1ii−i−i-11−ii−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32ζ7−ζ7−1+i321−i321−i32ζ7ζ7−ζ7−ζ71−i32−1+i32−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32ζ11−ζ11−1−i321+i321+i32ζ11ζ11−ζ11−ζ111+i32−1−i32−ζ11ζ111-11-11i−i1-1-1ii−i−i-11−ii
χ251-11-11−ii1-1-1−i−iii1-1−ii1-11-11−ii1-1-1−i−iii1-1−ii−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ11−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−1+i321−i32−ζ7ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−1−i321+i32−ζ11ζ111-11-11−ii1-1-1−i−iii1-1−ii
χ261-11-11−ii1-1-1−i−iii-11i−i1-11-11−ii1-1-1−i−iii-11i−i−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ11−1+i321−i32−1+i321−i32−1+i32−ζ7ζ7−1+i321−i321−i32−ζ7−ζ7ζ7ζ71−i32−1+i32ζ7−ζ7−1−i321+i32−1−i321+i32−1−i32−ζ11ζ11−1−i321+i321+i32−ζ11−ζ11ζ11ζ111+i32−1−i32ζ11−ζ111-11-11−ii1-1-1−i−iii-11i−i
χ272222-122-1-1-1-1-1-1-100002222-122-1-1-1-1-1-1-10000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i3200002222-122-1-1-1-1-1-1-10000
χ282222-1-2-2-1-1-1111100002222-1-2-2-1-1-111110000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i32−1−i32−1−i32−1−i32−1−i3200002222-1-2-2-1-1-111110000
χ2922-2-2200-22-20000000022-2-2200-22-200000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i300000000−1+i3−1+i31−i31−i3−1+i3001−i3−1+i31−i300000000−1−i3−1−i31+i31+i3−1−i3001+i3−1−i31+i30000000022-2-2200-22-200000000
χ3022-2-2-1001-113−33−3000022-2-2-1001-113−33−30000−1+i3−1+i31−i31−i31−i3200−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i31+i3200−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ110000−1+i3−1+i31−i31−i31−i3200−1+i321−i32−1+i32−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ110000−1−i3−1−i31+i31+i31+i3200−1−i321+i32−1−i322ζ7+ζ11−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ11000022-2-2-1001-113−33−30000
χ3122-2-2-1001-11−33−33000022-2-2-1001-11−33−330000−1+i3−1+i31−i31−i31−i3200−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i31+i3200−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ110000−1+i3−1+i31−i31−i31−i3200−1+i321−i32−1+i32ζ7+2ζ11−ζ7−2ζ11ζ7+2ζ11−ζ7−2ζ110000−1−i3−1−i31+i31+i31+i3200−1−i321+i32−1−i32−2ζ7−ζ112ζ7+ζ11−2ζ7−ζ112ζ7+ζ11000022-2-2-1001-11−33−330000
χ322-22-2-12i−2i-111−i−iii00002-22-2-12i−2i-111−i−iii0000−1+i31−i3−1+i31−i31−i322ζ7−2ζ71−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ70000−1−i31+i3−1−i31+i31+i322ζ11−2ζ111+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ110000−1+i31−i3−1+i31−i31−i322ζ7−2ζ71−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ70000−1−i31+i3−1−i31+i31+i322ζ11−2ζ111+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ1100002-22-2-12i−2i-111−i−iii0000
χ332-22-2-1−2i2i-111ii−i−i00002-22-2-1−2i2i-111ii−i−i0000−1+i31−i3−1+i31−i31−i32−2ζ72ζ71−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ70000−1−i31+i3−1−i31+i31+i32−2ζ112ζ111+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ110000−1+i31−i3−1+i31−i31−i32−2ζ72ζ71−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ70000−1−i31+i3−1−i31+i31+i32−2ζ112ζ111+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ1100002-22-2-1−2i2i-111ii−i−i0000
χ342-2-22200-2-22000000002-2-22200-2-2200000000−1+i31−i31−i3−1+i3−1+i3001−i31−i3−1+i300000000−1−i31+i31+i3−1−i3−1−i3001+i31+i3−1−i300000000−1+i31−i31−i3−1+i3−1+i3001−i31−i3−1+i300000000−1−i31+i31+i3−1−i3−1−i3001+i31+i3−1−i3000000002-2-22200-2-2200000000
χ352-2-22-10011-1−i3i3i3−i300002-2-22-10011-1−i3i3i3−i30000−1+i31−i31−i3−1+i31−i3200−1+i32−1+i321−i323+i32−3−i32−3−i323+i320000−1−i31+i31+i3−1−i31+i3200−1−i32−1−i321+i32−3+i323−i323−i32−3+i320000−1+i31−i31−i3−1+i31−i3200−1+i32−1+i321−i323+i32−3−i32−3−i323+i320000−1−i31+i31+i3−1−i31+i3200−1−i32−1−i321+i32−3+i323−i323−i32−3+i3200002-2-22-10011-1−i3i3i3−i30000
χ362-2-22-10011-1i3−i3−i3i300002-2-22-10011-1i3−i3−i3i30000−1+i31−i31−i3−1+i31−i3200−1+i32−1+i321−i32−3−i323+i323+i32−3−i320000−1−i31+i31+i3−1−i31+i3200−1−i32−1−i321+i323−i32−3+i32−3+i323−i320000−1+i31−i31−i3−1+i31−i3200−1+i32−1+i321−i32−3−i323+i323+i32−3−i320000−1−i31+i31+i3−1−i31+i3200−1−i32−1−i321+i323−i32−3+i32−3+i323−i3200002-2-22-10011-1i3−i3−i3i30000
χ37111111111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111
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χ1266-6-66-30033-33i3−3i3−3i33i300006-6-66-30033-33i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000000000000000-222-2100-1-11−i3i3i3−i30000

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