Finite Group Databasebeta

← Group #11785232

Character table — Group #11785232

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111111112222222222222222444444444444448888888888881212121212121212121212121212121211111111222222222222222244444444444444888888888888121212121212121212121212121212121111111122222222222222224444444444444488888888888812121212121212121212121212121212
order1222222234444444466666664412121212121212121212121244441212121212121212222244448888888836666666312121212121212126666666121212121212121212121212121212121212121212121212121266661212121224242424242424243666666631212121212121212666666612121212121212121212121212121212121212121212121212126666121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
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χ101-1-111-1-11111-111-1-1-1-1-1111-1-11-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii1-1-111-1-11111-111-1-1-1-1-1111-1-11-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii1-1-111-1-11111-111-1-1-1-1-1111-1-11-111-1-11111-1-1-1-1i−ii−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ111-1-111-1-11111-111-1-1-1-1-1111-1-11-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1-111-1-11111-111-1-1-1-1-1111-1-11-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1-111-1-11111-111-1-1-1-1-1111-1-11-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ121-1-111-1-11111-111-1-1-1-1-1111-1-11-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i1-1-111-1-11111-111-1-1-1-1-1111-1-11-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i1-1-111-1-11111-111-1-1-1-1-1111-1-11-111-1-11111-1-1-1-1−ii−ii−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ131-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii1-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii1-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ141-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i1-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i1-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111i−i−iiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ151-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i1-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i1-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ161-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii1-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii1-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
χ17222222222-2-2-22222-22222222-2-2-2-2-2-222-2-222-2-20000000000000000000000000000222222222-2-2-22222-22222222-2-2-2-2-2-222-2-222-2-20000000000000000000000000000222222222-2-2-22222-22222222-2-2-2-2-2-222-2-222-2-20000000000000000000000000000
χ18222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-222-2-2220000000000000000000000000000222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-222-2-2220000000000000000000000000000222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-222-2-2220000000000000000000000000000
χ1922222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000022222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000022222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000022222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000022222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ2122222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000000022222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-1-1-11111000000000000000022222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-1-1-111110000000000000000
χ2222222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000000022222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-2221111-1-1-1-1000000000000000022222222-1222-2-2-2-22-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-2221111-1-1-1-10000000000000000
χ2322222222-1-2-2-22222-2-1-1-1-1-1-1-1-2-21111-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000000022222222-1-2-2-22222-2-1-1-1-1-1-1-1-2-21111-1-111-1-1110000−i3i3−i3i3−i3i3−i3i3000000000000000022222222-1-2-2-22222-2-1-1-1-1-1-1-1-2-21111-1-111-1-1110000−i3i3−i3i3−i3i3−i3i30000000000000000
χ2422222222-1-2-2-22222-2-1-1-1-1-1-1-1-2-21111-1-111-1-1110000i3−i3i3−i3i3−i3i3−i3000000000000000022222222-1-2-2-22222-2-1-1-1-1-1-1-1-2-21111-1-111-1-1110000i3−i3i3−i3i3−i3i3−i3000000000000000022222222-1-2-2-22222-2-1-1-1-1-1-1-1-2-21111-1-111-1-1110000i3−i3i3−i3i3−i3i3−i30000000000000000
χ2522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122111111-1-111-1-10000−i3i3−i3i3i3−i3i3−i3000000000000000022222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122111111-1-111-1-10000−i3i3−i3i3i3−i3i3−i3000000000000000022222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122111111-1-111-1-10000−i3i3−i3i3i3−i3i3−i30000000000000000
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χ282222-2-2-2-222-220000-2222-2-2-2-2002-22-200000000000000000000-22-220000000000002222-2-2-2-222-220000-2222-2-2-2-2002-22-200000000000000000000-22-220000000000002222-2-2-2-222-220000-2222-2-2-2-2002-22-200000000000000000000-22-22000000000000
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χ392-2-222-2-222-2-2222-2-22-2-2222-2-2-22-2-22222-2-2-2-22200000000000000000000000000002-2-222-2-222-2-2222-2-22-2-2222-2-2-22-2-22222-2-2-2-22200000000000000000000000000002-2-222-2-222-2-2222-2-22-2-2222-2-2-22-2-22222-2-2-2-2220000000000000000000000000000
χ402-2-222-2-222-2-22-2-2222-2-2222-2-22-2-2-222-2-22222-2-200000000000000000000000000002-2-222-2-222-2-22-2-2222-2-2222-2-22-2-2-222-2-22222-2-200000000000000000000000000002-2-222-2-222-2-22-2-2222-2-2222-2-22-2-2-222-2-22222-2-20000000000000000000000000000
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χ1481-1-111-1-11111-1-1-111-1-1-1111-1-1-1111-1-1-1-1-1-11111−iii−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.