Finite Group Databasebeta

← Group #15890508

Character table — Group #15890508

Order 3328.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208
size111122222244448888888888882222444444888816161616161616161616161622224444448888161616161616161616161616222244444488881616161616161616161616162222444444888816161616161616161616161622224444448888161616161616161616161616222244444488881616161616161616161616161313131326262626262652525252104104104104104104104104104104104104
order1222224444444424444444888813262626262652525252525252522652525252525252104104104104132626262626525252525252525226525252525252521041041041041326262626265252525252525252265252525252525210410410410413262626262652525252525252522652525252525252104104104104132626262626525252525252525226525252525252521041041041041326262626265252525252525252265252525252525210410410410422222244444444244444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1
χ311111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-111
χ411111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-1
χ51111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-1
χ61111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-111
χ71111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-1
χ81111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111
χ9222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000
χ10222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000
χ112222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-2000000000
χ122222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-22000000000
χ132222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-2000000
χ142222-2-2-22-220000-2000020000002222-2-2-22-220000-2000020000002222-2-2-22-220000-2000020000002222-2-2-22-220000-2000020000002222-2-2-22-220000-2000020000002222-2-2-22-220000-2000020000002222-2-2-22-220000-2000020000002222-2-2-22-220000-200002000000
χ152-2-222-22-2-222i2i−2i−2i0000000000002-2-222-22-2-222i2i−2i−2i0000000000002-2-222-22-2-222i2i−2i−2i0000000000002-2-222-22-2-222i2i−2i−2i0000000000002-2-222-22-2-222i2i−2i−2i0000000000002-2-222-22-2-222i2i−2i−2i0000000000002-2-222-22-2-222i2i−2i−2i0000000000002-2-222-22-2-222i2i−2i−2i000000000000
χ162-2-222-22-2-22−2i−2i2i2i0000000000002-2-222-22-2-22−2i−2i2i2i0000000000002-2-222-22-2-22−2i−2i2i2i0000000000002-2-222-22-2-22−2i−2i2i2i0000000000002-2-222-22-2-22−2i−2i2i2i0000000000002-2-222-22-2-22−2i−2i2i2i0000000000002-2-222-22-2-22−2i−2i2i2i0000000000002-2-222-22-2-22−2i−2i2i2i000000000000
χ172-2-222-2-222-200000002i−2i00000002-2-222-2-222-200000002i−2i00000002-2-222-2-222-200000002i−2i00000002-2-222-2-222-200000002i−2i00000002-2-222-2-222-200000002i−2i00000002-2-222-2-222-200000002i−2i00000002-2-222-2-222-200000002i−2i00000002-2-222-2-222-200000002i−2i0000000
χ182-2-222-2-222-20000000−2i2i00000002-2-222-2-222-20000000−2i2i00000002-2-222-2-222-20000000−2i2i00000002-2-222-2-222-20000000−2i2i00000002-2-222-2-222-20000000−2i2i00000002-2-222-2-222-20000000−2i2i00000002-2-222-2-222-20000000−2i2i00000002-2-222-2-222-20000000−2i2i0000000
χ192-2-22-2222-2-2000000000000002i−2i2-2-22-2222-2-2000000000000002i−2i2-2-22-2222-2-2000000000000002i−2i2-2-22-2222-2-2000000000000002i−2i2-2-22-2222-2-2000000000000002i−2i2-2-22-2222-2-2000000000000002i−2i2-2-22-2222-2-2000000000000002i−2i2-2-22-2222-2-2000000000000002i−2i
χ202-2-22-2222-2-200000000000000−2i2i2-2-22-2222-2-200000000000000−2i2i2-2-22-2222-2-200000000000000−2i2i2-2-22-2222-2-200000000000000−2i2i2-2-22-2222-2-200000000000000−2i2i2-2-22-2222-2-200000000000000−2i2i2-2-22-2222-2-200000000000000−2i2i2-2-22-2222-2-200000000000000−2i2i
χ212-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-200
χ222-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-2200
χ2344-4-40000002-22-200000000000044-4-40000002-22-200000000000044-4-40000002-22-200000000000044-4-40000002-22-200000000000044-4-40000002-22-200000000000044-4-40000002-22-200000000000044-4-40000002-22-200000000000044-4-40000002-22-2000000000000
χ2444-4-4000000-22-2200000000000044-4-4000000-22-2200000000000044-4-4000000-22-2200000000000044-4-4000000-22-2200000000000044-4-4000000-22-2200000000000044-4-4000000-22-2200000000000044-4-4000000-22-2200000000000044-4-4000000-22-22000000000000
χ254-44-40000002i−2i−2i2i0000000000004-44-40000002i−2i−2i2i0000000000004-44-40000002i−2i−2i2i0000000000004-44-40000002i−2i−2i2i0000000000004-44-40000002i−2i−2i2i0000000000004-44-40000002i−2i−2i2i0000000000004-44-40000002i−2i−2i2i0000000000004-44-40000002i−2i−2i2i000000000000
χ264-44-4000000−2i2i2i−2i0000000000004-44-4000000−2i2i2i−2i0000000000004-44-4000000−2i2i2i−2i0000000000004-44-4000000−2i2i2i−2i0000000000004-44-4000000−2i2i2i−2i0000000000004-44-4000000−2i2i2i−2i0000000000004-44-4000000−2i2i2i−2i0000000000004-44-4000000−2i2i2i−2i000000000000
χ2711111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ28111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111
χ2911111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1
χ3011111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-111111111111111-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111
χ311111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-11111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-11111
χ321111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-1111111111111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1
χ331111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1-111
χ341111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ35222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000222222-2-2-2-200000000002-20000-2-2-2-2-2-222220000000000-220000
χ36222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000222222-2-2-2-20000000000-220000-2-2-2-2-2-2222200000000002-20000
χ372222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-20000000002222-2-22-22-2000002-2000000000-2-2-2-222-22-2200000-22000000000
χ382222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-220000000002222-2-22-22-200000-22000000000-2-2-2-222-22-22000002-2000000000
χ392222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-20000002222-2-2-22-22000020000-2000000-2-2-2-2222-22-20000-200002000000
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χ472-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-2002-2-22-22-2-2220000000000002-200-222-22-222-2-2000000000000-2200
χ482-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-22002-2-22-22-2-222000000000000-2200-222-22-222-2-20000000000002-200
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χ2078-88-80000004i−4i−4i4i000000000000−4ζ2−4ζ504ζ2+4ζ50−4ζ2−4ζ504ζ2+4ζ50000000−2ζ11−2ζ152ζ11+2ζ152ζ11+2ζ15−2ζ11−2ζ15000000000000−4ζ22−4ζ304ζ22+4ζ30−4ζ22−4ζ304ζ22+4ζ30000000−2ζ35−2ζ432ζ35+2ζ432ζ35+2ζ43−2ζ35−2ζ43000000000000−4ζ6−4ζ464ζ6+4ζ46−4ζ6−4ζ464ζ6+4ζ46000000−2ζ7−2ζ192ζ7+2ζ192ζ7+2ζ19−2ζ7−2ζ19000000000000−4ζ18−4ζ344ζ18+4ζ34−4ζ18−4ζ344ζ18+4ζ34000000−2ζ31−2ζ472ζ31+2ζ472ζ31+2ζ47−2ζ31−2ζ47000000000000−4ζ10−4ζ424ζ10+4ζ42−4ζ10−4ζ424ζ10+4ζ42000000−2ζ3−2ζ232ζ3+2ζ232ζ3+2ζ23−2ζ3−2ζ23000000000000−4ζ14−4ζ384ζ14+4ζ38−4ζ14−4ζ384ζ14+4ζ38000000−2ζ27−2ζ512ζ27+2ζ512ζ27+2ζ51−2ζ27−2ζ5100000000000000000000000000000000000000
χ2088-88-8000000−4i4i4i−4i000000000000−4ζ2−4ζ504ζ2+4ζ50−4ζ2−4ζ504ζ2+4ζ500000002ζ11+2ζ15−2ζ11−2ζ15−2ζ11−2ζ152ζ11+2ζ15000000000000−4ζ22−4ζ304ζ22+4ζ30−4ζ22−4ζ304ζ22+4ζ300000002ζ35+2ζ43−2ζ35−2ζ43−2ζ35−2ζ432ζ35+2ζ43000000000000−4ζ6−4ζ464ζ6+4ζ46−4ζ6−4ζ464ζ6+4ζ460000002ζ7+2ζ19−2ζ7−2ζ19−2ζ7−2ζ192ζ7+2ζ19000000000000−4ζ18−4ζ344ζ18+4ζ34−4ζ18−4ζ344ζ18+4ζ340000002ζ31+2ζ47−2ζ31−2ζ47−2ζ31−2ζ472ζ31+2ζ47000000000000−4ζ10−4ζ424ζ10+4ζ42−4ζ10−4ζ424ζ10+4ζ420000002ζ3+2ζ23−2ζ3−2ζ23−2ζ3−2ζ232ζ3+2ζ23000000000000−4ζ14−4ζ384ζ14+4ζ38−4ζ14−4ζ384ζ14+4ζ380000002ζ27+2ζ51−2ζ27−2ζ51−2ζ27−2ζ512ζ27+2ζ5100000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 52 (ζ52 = 1); i = ζ13.