Finite Group Databasebeta

← Group #11817726

Character table — Group #11817726

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size111111112222222222222222444444444444448888888888881212121212121212121212121212121211111111222222222222222244444444444444888888888888121212121212121212121212121212121111111122222222222222224444444444444488888888888812121212121212121212121212121212
order122222223444444446666666441212121212121212121212122444661212121212122244444444444444366666663121212121212121266666661212121212121212121212121212612121266121212121212661212121212121212121212121212366666663121212121212121266666661212121212121212121212121212612121266121212121212661212121212121212121212121212
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
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-111-1-1-1-111-1-11111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-111-1-1-1-111-1-11111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111-1-11111-1-1111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111-1-11111-1-111
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-1-1-1111111
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111
χ10111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ12111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-11111-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-11111-1-111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-1-11111-1-111-1-1-1-1
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-1-1-111-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-1-1-111-1-11111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1-1-111-1-1-1-111-1-11111
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111111111-1-1-1-1-1-1-1-111
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111-1-1-1-1-1-111111111-1-1
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χ1822222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000022222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111000000000000000022222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-2-22-1-11111-1-1000000000000000022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-2-22-1-11111-1-1000000000000000022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-2-22-1-11111-1-10000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-222-211-1-1-1-111000000000000000022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-222-211-1-1-1-111000000000000000022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-222-211-1-1-1-1110000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-1-1-11111000000000000000022222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-1-1-11111000000000000000022222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-1111122-2-2-1-1-1-111110000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-2221111-1-1-1-1000000000000000022222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-2221111-1-1-1-1000000000000000022222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-2-2221111-1-1-1-10000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-22-2-1-111-1-111000000000000000022222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-22-2-1-111-1-111000000000000000022222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-22-2-1-111-1-1110000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-22-2211-1-111-1-1000000000000000022222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-22-2211-1-111-1-1000000000000000022222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-22-2211-1-111-1-10000000000000000
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χ352-222-2-22-22−2i2i−2i2i2-22-2-222-22-2-2−2i2i−2i2i−2i2i2-22-2−2i−2i2i2i00000000000000000000000000002-222-2-22-22−2i2i−2i2i2-22-2-222-22-2-2−2i2i−2i2i−2i2i2-22-2−2i−2i2i2i00000000000000000000000000002-222-2-22-22−2i2i−2i2i2-22-2-222-22-2-2−2i2i−2i2i−2i2i2-22-2−2i−2i2i2i0000000000000000000000000000
χ362-222-2-22-22−2i2i−2i2i-22-22-222-22-2-22i−2i−2i2i−2i2i-22-222i2i−2i−2i00000000000000000000000000002-222-2-22-22−2i2i−2i2i-22-22-222-22-2-22i−2i−2i2i−2i2i-22-222i2i−2i−2i00000000000000000000000000002-222-2-22-22−2i2i−2i2i-22-22-222-22-2-22i−2i−2i2i−2i2i-22-222i2i−2i−2i0000000000000000000000000000
χ372-222-2-22-2-12i−2i2i−2i2-22-21-1-11-1112i−2i−ii−ii-11-11−i−iii0000−i3i3−i3i33−33−300000000000000002-222-2-22-2-12i−2i2i−2i2-22-21-1-11-1112i−2i−ii−ii-11-11−i−iii0000−i3i3−i3i33−33−300000000000000002-222-2-22-2-12i−2i2i−2i2-22-21-1-11-1112i−2i−ii−ii-11-11−i−iii0000−i3i3−i3i33−33−30000000000000000
χ382-222-2-22-2-12i−2i2i−2i2-22-21-1-11-1112i−2i−ii−ii-11-11−i−iii0000i3−i3i3−i3−33−3300000000000000002-222-2-22-2-12i−2i2i−2i2-22-21-1-11-1112i−2i−ii−ii-11-11−i−iii0000i3−i3i3−i3−33−3300000000000000002-222-2-22-2-12i−2i2i−2i2-22-21-1-11-1112i−2i−ii−ii-11-11−i−iii0000i3−i3i3−i3−33−330000000000000000
χ392-222-2-22-2-12i−2i2i−2i-22-221-1-11-111−2i2i−ii−ii1-11-1ii−i−i0000−i3i3i3−i3−333−300000000000000002-222-2-22-2-12i−2i2i−2i-22-221-1-11-111−2i2i−ii−ii1-11-1ii−i−i0000−i3i3i3−i3−333−300000000000000002-222-2-22-2-12i−2i2i−2i-22-221-1-11-111−2i2i−ii−ii1-11-1ii−i−i0000−i3i3i3−i3−333−30000000000000000
χ402-222-2-22-2-12i−2i2i−2i-22-221-1-11-111−2i2i−ii−ii1-11-1ii−i−i0000i3−i3−i3i33−3−3300000000000000002-222-2-22-2-12i−2i2i−2i-22-221-1-11-111−2i2i−ii−ii1-11-1ii−i−i0000i3−i3−i3i33−3−3300000000000000002-222-2-22-2-12i−2i2i−2i-22-221-1-11-111−2i2i−ii−ii1-11-1ii−i−i0000i3−i3−i3i33−3−330000000000000000
χ412-222-2-22-2-1−2i2i−2i2i2-22-21-1-11-111−2i2ii−ii−i-11-11ii−i−i0000−i3i3−i3i3−33−3300000000000000002-222-2-22-2-1−2i2i−2i2i2-22-21-1-11-111−2i2ii−ii−i-11-11ii−i−i0000−i3i3−i3i3−33−3300000000000000002-222-2-22-2-1−2i2i−2i2i2-22-21-1-11-111−2i2ii−ii−i-11-11ii−i−i0000−i3i3−i3i3−33−330000000000000000
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χ1371111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+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+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+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−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
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χ141111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+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−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+i32−1+i32−1+i32−1+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+i321−i321−i321−i321−i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−i32−1+i32−1+i32
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.