Finite Group Databasebeta

← Group #72245884

Character table — Group #72245884

Order 3528.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171
size133333333333333334949133333333333333334949266666666666666669898266666666666666669898266666666666666669898266666666666666669898266666666666666669898618181818181818181818181818181818294294618181818181818181818181818181818294294
order1777777777777777733214141414141414141414141414141414663212121212121212121212121212121213342828282828282828282828282828282812126424242424242424242424242424242426612848484848484848484848484848484841212128484848484848484848484848484848412122141414141414141414141414141414146621414141414141414141414141414141466
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111−1+i32−1−i3211111111111111111−1+i32−1−i3211111111111111111−1+i32−1−i3211111111111111111−1+i32−1−i3211111111111111111−1+i32−1−i3211111111111111111−1+i32−1−i3211111111111111111−1+i32−1−i3211111111111111111−1+i32−1−i3211111111111111111−1+i32−1−i32
χ311111111111111111−1−i32−1+i3211111111111111111−1−i32−1+i3211111111111111111−1−i32−1+i3211111111111111111−1−i32−1+i3211111111111111111−1−i32−1+i3211111111111111111−1−i32−1+i3211111111111111111−1−i32−1+i3211111111111111111−1−i32−1+i3211111111111111111−1−i32−1+i32
χ4333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7200333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7200333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7200333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7200333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7200333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7200333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7200333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7200333−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1−i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i72−1+i7200
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χ113−1−i72−1+i72−1+i72−1−i72−1+i723−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−1−i723−1−i72−1+i72003−1−i72−1+i72−1+i72−1−i72−1+i723−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−1−i723−1−i72−1+i72003−1−i72−1+i72−1+i72−1−i72−1+i723−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−1−i723−1−i72−1+i72003−1−i72−1+i72−1+i72−1−i72−1+i723−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−1−i723−1−i72−1+i72003−1−i72−1+i72−1+i72−1−i72−1+i723−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−1−i723−1−i72−1+i72003−1−i72−1+i72−1+i72−1−i72−1+i723−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−1−i723−1−i72−1+i72003−1−i72−1+i72−1+i72−1−i72−1+i723−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−1−i723−1−i72−1+i72003−1−i72−1+i72−1+i72−1−i72−1+i723−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−1−i723−1−i72−1+i72003−1−i72−1+i72−1+i72−1−i72−1+i723−1−i72−1+i72−1−i72−1−i72−1+i72−1+i72−1−i723−1−i72−1+i7200
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χ1706−1+i7−1−i7−1+i7−1−i7−1+i7−1−i7−1+i7−1−i76−1−i7−1−i76−1+i7−1+i7−1−i7−1+i700-61−i71+i71−i71+i71−i71+i71−i71+i7-61+i71+i7-61−i71−i71+i71−i700-31−i721+i721−i721+i721−i721+i721−i721+i72-31+i721+i72-31−i721−i721+i721−i720000000000000000000003−1+i72−1−i72−1+i72−1−i72−1+i72−1−i72−1+i72−1−i723−1−i72−1−i723−1+i72−1+i72−1−i72−1+i7200−33−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83ζ11+ζ23−ζ43−ζ67+ζ71−ζ79−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83ζ11+ζ23−ζ43−ζ67+ζ71−ζ79−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83ζ11+ζ23−ζ43−ζ67+ζ71−ζ79−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83ζ11+ζ23−ζ43−ζ67+ζ71−ζ79−33ζ11+ζ23−ζ43−ζ67+ζ71−ζ79ζ11+ζ23−ζ43−ζ67+ζ71−ζ79−33−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83ζ11+ζ23−ζ43−ζ67+ζ71−ζ79−ζ19−ζ31+ζ47−ζ55+ζ59+ζ830033ζ19+ζ31−ζ47+ζ55−ζ59−ζ83−ζ11−ζ23+ζ43+ζ67−ζ71+ζ79ζ19+ζ31−ζ47+ζ55−ζ59−ζ83−ζ11−ζ23+ζ43+ζ67−ζ71+ζ79ζ19+ζ31−ζ47+ζ55−ζ59−ζ83−ζ11−ζ23+ζ43+ζ67−ζ71+ζ79ζ19+ζ31−ζ47+ζ55−ζ59−ζ83−ζ11−ζ23+ζ43+ζ67−ζ71+ζ7933−ζ11−ζ23+ζ43+ζ67−ζ71+ζ79−ζ11−ζ23+ζ43+ζ67−ζ71+ζ7933ζ19+ζ31−ζ47+ζ55−ζ59−ζ83ζ19+ζ31−ζ47+ζ55−ζ59−ζ83−ζ11−ζ23+ζ43+ζ67−ζ71+ζ79ζ19+ζ31−ζ47+ζ55−ζ59−ζ830000000000000000000000000000000000000000
χ1716−1+i7−1−i7−1+i7−1+i7−1−i7−1−i76−1+i7−1−i7−1−i76−1+i7−1−i7−1+i7−1+i7−1−i700-61−i71+i71−i71−i71+i71+i7-61−i71+i71+i7-61−i71+i71−i71−i71+i700-31−i721+i721−i721−i721+i721+i72-31−i721+i721+i72-31−i721+i721−i721−i721+i720000000000000000000003−1+i72−1−i72−1+i72−1+i72−1−i72−1−i723−1+i72−1−i72−1−i723−1+i72−1−i72−1+i72−1+i72−1−i7200−33−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83ζ11+ζ23−ζ43−ζ67+ζ71−ζ79−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83ζ11+ζ23−ζ43−ζ67+ζ71−ζ79ζ11+ζ23−ζ43−ζ67+ζ71−ζ79−33−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83ζ11+ζ23−ζ43−ζ67+ζ71−ζ79ζ11+ζ23−ζ43−ζ67+ζ71−ζ79−33−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83ζ11+ζ23−ζ43−ζ67+ζ71−ζ79−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83−ζ19−ζ31+ζ47−ζ55+ζ59+ζ83ζ11+ζ23−ζ43−ζ67+ζ71−ζ790033ζ19+ζ31−ζ47+ζ55−ζ59−ζ83−ζ11−ζ23+ζ43+ζ67−ζ71+ζ79ζ19+ζ31−ζ47+ζ55−ζ59−ζ83ζ19+ζ31−ζ47+ζ55−ζ59−ζ83−ζ11−ζ23+ζ43+ζ67−ζ71+ζ79−ζ11−ζ23+ζ43+ζ67−ζ71+ζ7933ζ19+ζ31−ζ47+ζ55−ζ59−ζ83−ζ11−ζ23+ζ43+ζ67−ζ71+ζ79−ζ11−ζ23+ζ43+ζ67−ζ71+ζ7933ζ19+ζ31−ζ47+ζ55−ζ59−ζ83−ζ11−ζ23+ζ43+ζ67−ζ71+ζ79ζ19+ζ31−ζ47+ζ55−ζ59−ζ83ζ19+ζ31−ζ47+ζ55−ζ59−ζ83−ζ11−ζ23+ζ43+ζ67−ζ71+ζ790000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.