Finite Group Databasebeta

← Group #11789925

Character table — Group #11789925

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size111111112222222222222222222244444444444466666666666666668888888888882424242411111111222222222222222222224444444444446666666666666666888888888888242424241111111122222222222222222222444444444444666666666666666688888888888824242424
order12224444223444444444466612121212661212121212121212121288888888888888882466881212242424244488366612121212663121212121212121212126661212121266121212121212121212122424242424242424242424242424242461266242412122424242412122424366612121212663121212121212121212126661212121266121212121212121212122424242424242424242424242424242461266242412122424242412122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111
χ6111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ7111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1
χ8111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111
χ91111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-111i−i-1-1ii−i−i1-1i−i1111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-111i−i-1-1ii−i−i1-1i−i1111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-111i−i-1-1ii−i−i1-1i−i
χ101111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-1-1−ii11−i−iii-11−ii1111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-1-1−ii11−i−iii-11−ii1111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-1-1−ii11−i−iii-11−ii
χ111111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-111i−i-1-1ii−i−i-11−ii1111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-111i−i-1-1ii−i−i-11−ii1111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-111i−i-1-1ii−i−i-11−ii
χ121111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-1-1−ii11−i−iii1-1i−i1111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-1-1−ii11−i−iii1-1i−i1111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-1-1−ii11−i−iii1-1i−i
χ131111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-111−ii-1-1−i−iii-11i−i1111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-111−ii-1-1−i−iii-11i−i1111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-111−ii-1-1−i−iii-11i−i
χ141111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11-1-1i−i11ii−i−i1-1−ii1111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11-1-1i−i11ii−i−i1-1−ii1111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11-1-1i−i11ii−i−i1-1−ii
χ151111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-111−ii-1-1−i−iii1-1−ii1111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-111−ii-1-1−i−iii1-1−ii1111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-111−ii-1-1−i−iii1-1−ii
χ161111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-1-1i−i11ii−i−i-11i−i1111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-1-1i−i11ii−i−i-11i−i1111-1-1-1-1-1-111−i−i−i−iiiii1111-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-1-1i−i11ii−i−i-11i−i
χ172222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-122-1-1-1-1-1-100002222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-122-1-1-1-1-1-100002222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-122-1-1-1-1-1-10000
χ182222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-211-2-211111100002222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-211-2-211111100002222222222-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-211-2-21111110000
χ192222222222-12-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-1-1-2-2-1-1111100002222222222-12-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-1-1-2-2-1-1111100002222222222-12-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-1-1-2-2-1-111110000
χ202222222222-12-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2112211-1-1-1-100002222222222-12-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2112211-1-1-1-100002222222222-12-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2112211-1-1-1-10000
χ2122222222-2-22-200000000-22222222-2-2-2-20000000022-2-222-2-200000000000000000000000022222222-2-22-200000000-22222222-2-2-2-20000000022-2-222-2-200000000000000000000000022222222-2-22-200000000-22222222-2-2-2-20000000022-2-222-2-2000000000000000000000000
χ2222222222-2-22-200000000-22222222-2-2-2-200000000-2-222-2-22200000000000000000000000022222222-2-22-200000000-22222222-2-2-2-200000000-2-222-2-22200000000000000000000000022222222-2-22-200000000-22222222-2-2-2-200000000-2-222-2-222000000000000000000000000
χ232222-2-2-2-2222-200000000-2222-2-2-2-222-2-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000002222-2-2-2-2222-200000000-2222-2-2-2-222-2-2000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000002222-2-2-2-2222-200000000-2222-2-2-2-222-2-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
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χ2922-2-222-2-22-22-22i2i−2i−2i2i2i−2i−2i2-2-2222-2-22-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000022-2-222-2-22-22-22i2i−2i−2i2i2i−2i−2i2-2-2222-2-22-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000022-2-222-2-22-22-22i2i−2i−2i2i2i−2i−2i2-2-2222-2-22-22-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
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χ3622-2-222-2-2-222200000000-2-2-2222-2-2-22-220000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000022-2-222-2-2-222200000000-2-2-2222-2-2-22-220000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000022-2-222-2-2-222200000000-2-2-2222-2-2-22-220000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
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χ811111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-111i−i-1-1ii−i−i1-1i−i−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32ζ14−ζ141−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32ζ22−ζ221+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22
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χ151111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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−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+i321−i321−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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32
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χ1531111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-111i−i-1-1ii−i−i1-1i−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i32ζ22−ζ221+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i32ζ14−ζ141−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32ζ14−ζ14
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χ1561111-1-1-1-1-1-111iiii−i−i−i−i1111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-1-1−ii11−i−iii1-1i−i−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ221+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−ζ22ζ22−1−i32−1−i32−ζ22−ζ22ζ22ζ22−1−i321+i32ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ141−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−ζ14ζ14−1+i32−1+i32−ζ14−ζ14ζ14ζ14−1+i321−i32ζ14−ζ14
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χ18822-2-2-2-222-22-1-2-2-22222-2-2211-111-1-11-1-1111-1-1-1-111000000000000000000i3−i300−i3i3−i3i3i3−i30000−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i3−1−i31+i321+i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i320000000000000000003−i32−3+i3200−3+i323−i32−3+i323−i323−i32−3+i320000−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i3−1+i31−i321−i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32000000000000000000−3−i323+i32003+i32−3−i323+i32−3−i32−3−i323+i320000
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χ1902-22-22i−2i2i−2i00201+i−1−i1+i−1−i1−i−1+i1−i−1+i02-2-22i−2i2i−2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23i2−i2i2−i2−22−220000000000000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ2200−1−i30−ζ4+ζ22ζ4−ζ22−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ22−ζ4−ζ22ζ4+ζ220−1−i31+i31+i32ζ22−2ζ222ζ22−2ζ220000−ζ4+ζ22ζ4−ζ22−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ22−ζ4−ζ22ζ4+ζ2200−2ζ132ζ13002ζ7−2ζ7−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000000000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ1400−1+i30ζ14−ζ20−ζ14+ζ20ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ14−ζ20ζ14+ζ200−1+i31−i31−i32ζ14−2ζ142ζ14−2ζ140000ζ14−ζ20−ζ14+ζ20ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ14−ζ20ζ14+ζ2000−2ζ52ζ5002ζ23−2ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000000000000
χ1912-22-22i−2i2i−2i0020−1−i1+i−1−i1+i−1+i1−i−1+i1−i02-2-22i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23i2−i2i2−i2−22−220000000000000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ2200−1−i30ζ4−ζ22−ζ4+ζ22ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ22ζ4+ζ22−ζ4−ζ220−1−i31+i31+i32ζ22−2ζ222ζ22−2ζ220000ζ4−ζ22−ζ4+ζ22ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ22ζ4+ζ22−ζ4−ζ22002ζ13−2ζ1300−2ζ72ζ7−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ130000000000000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ1400−1+i30−ζ14+ζ20ζ14−ζ20−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ14−ζ200−1+i31−i31−i32ζ14−2ζ142ζ14−2ζ140000−ζ14+ζ20ζ14−ζ20−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ14−ζ20002ζ5−2ζ500−2ζ232ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ230000000000000000
χ1922-22-22i−2i2i−2i0020−1−i1+i−1−i1+i−1+i1−i−1+i1−i02-2-22i−2i2i−2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23−i2i2−i2i22−22−20000000000000000−1−i31+i3−1−i31+i32ζ22−2ζ222ζ22−2ζ2200−1−i30ζ4−ζ22−ζ4+ζ22ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ22ζ4+ζ22−ζ4−ζ220−1−i31+i31+i32ζ22−2ζ222ζ22−2ζ220000ζ4−ζ22−ζ4+ζ22ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ22ζ4+ζ22−ζ4−ζ2200−2ζ132ζ13002ζ7−2ζ7ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ130000000000000000−1+i31−i3−1+i31−i32ζ14−2ζ142ζ14−2ζ1400−1+i30−ζ14+ζ20ζ14−ζ20−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ14−ζ200−1+i31−i31−i32ζ14−2ζ142ζ14−2ζ140000−ζ14+ζ20ζ14−ζ20−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20ζ14+ζ20−ζ14−ζ2000−2ζ52ζ5002ζ23−2ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ230000000000000000
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χ2144-4-444i−4i−4i4i00-20−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i02-22−2i2i2i−2i00001−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000000000000000000000000000−2−2i32+2i32+2i3−2−2i34ζ22−4ζ22−4ζ224ζ22001+i302ζ4+2ζ22−2ζ4−2ζ22−2ζ4−2ζ222ζ4+2ζ22−2ζ4+2ζ222ζ4−2ζ222ζ4−2ζ22−2ζ4+2ζ220−1−i31+i3−1−i3−2ζ222ζ222ζ22−2ζ220000−ζ4−ζ22ζ4+ζ22ζ4+ζ22−ζ4−ζ22ζ4−ζ22−ζ4+ζ22−ζ4+ζ22ζ4−ζ2200000000000000000000000000000000−2+2i32−2i32−2i3−2+2i34ζ14−4ζ14−4ζ144ζ14001−i302ζ14+2ζ20−2ζ14−2ζ20−2ζ14−2ζ202ζ14+2ζ202ζ14−2ζ20−2ζ14+2ζ20−2ζ14+2ζ202ζ14−2ζ200−1+i31−i3−1+i3−2ζ142ζ142ζ14−2ζ140000−ζ14−ζ20ζ14+ζ20ζ14+ζ20−ζ14−ζ20−ζ14+ζ20ζ14−ζ20ζ14−ζ20−ζ14+ζ2000000000000000000000000000000000
χ2154-4-44−4i4i4i−4i00-202+2i−2−2i−2−2i2+2i−2+2i2−2i2−2i−2+2i02-222i−2i−2i2i0000−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ22001+i30−2ζ4+2ζ222ζ4−2ζ222ζ4−2ζ22−2ζ4+2ζ222ζ4+2ζ22−2ζ4−2ζ22−2ζ4−2ζ222ζ4+2ζ220−1−i31+i3−1−i32ζ22−2ζ22−2ζ222ζ220000ζ4−ζ22−ζ4+ζ22−ζ4+ζ22ζ4−ζ22−ζ4−ζ22ζ4+ζ22ζ4+ζ22−ζ4−ζ2200000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ14001−i302ζ14−2ζ20−2ζ14+2ζ20−2ζ14+2ζ202ζ14−2ζ202ζ14+2ζ20−2ζ14−2ζ20−2ζ14−2ζ202ζ14+2ζ200−1+i31−i3−1+i32ζ14−2ζ14−2ζ142ζ140000−ζ14+ζ20ζ14−ζ20ζ14−ζ20−ζ14+ζ20−ζ14−ζ20ζ14+ζ20ζ14+ζ20−ζ14−ζ2000000000000000000000000000000000
χ2164-4-44−4i4i4i−4i00-20−2−2i2+2i2+2i−2−2i2−2i−2+2i−2+2i2−2i02-222i−2i−2i2i00001+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000000000000000000000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ224ζ22−4ζ22001+i302ζ4−2ζ22−2ζ4+2ζ22−2ζ4+2ζ222ζ4−2ζ22−2ζ4−2ζ222ζ4+2ζ222ζ4+2ζ22−2ζ4−2ζ220−1−i31+i3−1−i32ζ22−2ζ22−2ζ222ζ220000−ζ4+ζ22ζ4−ζ22ζ4−ζ22−ζ4+ζ22ζ4+ζ22−ζ4−ζ22−ζ4−ζ22ζ4+ζ2200000000000000000000000000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ144ζ14−4ζ14001−i30−2ζ14+2ζ202ζ14−2ζ202ζ14−2ζ20−2ζ14+2ζ20−2ζ14−2ζ202ζ14+2ζ202ζ14+2ζ20−2ζ14−2ζ200−1+i31−i3−1+i32ζ14−2ζ14−2ζ142ζ140000ζ14−ζ20−ζ14+ζ20−ζ14+ζ20ζ14−ζ20ζ14+ζ20−ζ14−ζ20−ζ14−ζ20ζ14+ζ2000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.