Finite Group Databasebeta

← Group #14566829

Character table — Group #14566829

Order 2432.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224C225C226C227C228C229C230C231C232C233C234C235C236C237C238C239C240C241C242
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order12222222222222444444441938383838383838383838383838767676767676767619383838383838383838383838387676767676767676193838383838383838383838383876767676767676761938383838383838383838383838767676767676767619383838383838383838383838387676767676767676193838383838383838383838383876767676767676761938383838383838383838383838767676767676767619383838383838383838383838387676767676767676193838383838383838383838383876767676767676762222222222222244444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ31111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ511111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1
χ611111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-111
χ711111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ811111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1
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χ192-2-222-2-220000002-20000002-2-222-2-220000002-20000002-2-222-2-220000002-20000002-2-222-2-220000002-20000002-2-222-2-220000002-20000002-2-222-2-220000002-20000002-2-222-2-220000002-20000002-2-222-2-220000002-20000002-2-222-2-220000002-20000002-2-222-2-220000002-20000002-2-222-2-220000002-2000000
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χ231111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ251111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ261111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ2711111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ2811111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ2911111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ3011111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
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χ2424-4-44-444-40000-4400000000−2ζ2−2ζ742ζ2+2ζ742ζ2+2ζ74−2ζ2−2ζ742ζ2+2ζ74−2ζ2−2ζ74−2ζ2−2ζ742ζ2+2ζ7400002ζ2+2ζ74−2ζ2−2ζ7400000000−2ζ34−2ζ422ζ34+2ζ422ζ34+2ζ42−2ζ34−2ζ422ζ34+2ζ42−2ζ34−2ζ42−2ζ34−2ζ422ζ34+2ζ4200002ζ34+2ζ42−2ζ34−2ζ4200000000−2ζ6−2ζ702ζ6+2ζ702ζ6+2ζ70−2ζ6−2ζ702ζ6+2ζ70−2ζ6−2ζ70−2ζ6−2ζ702ζ6+2ζ7000002ζ6+2ζ70−2ζ6−2ζ7000000000−2ζ30−2ζ462ζ30+2ζ462ζ30+2ζ46−2ζ30−2ζ462ζ30+2ζ46−2ζ30−2ζ46−2ζ30−2ζ462ζ30+2ζ4600002ζ30+2ζ46−2ζ30−2ζ4600000000−2ζ10−2ζ662ζ10+2ζ662ζ10+2ζ66−2ζ10−2ζ662ζ10+2ζ66−2ζ10−2ζ66−2ζ10−2ζ662ζ10+2ζ6600002ζ10+2ζ66−2ζ10−2ζ6600000000−2ζ26−2ζ502ζ26+2ζ502ζ26+2ζ50−2ζ26−2ζ502ζ26+2ζ50−2ζ26−2ζ50−2ζ26−2ζ502ζ26+2ζ5000002ζ26+2ζ50−2ζ26−2ζ5000000000−2ζ14−2ζ622ζ14+2ζ622ζ14+2ζ62−2ζ14−2ζ622ζ14+2ζ62−2ζ14−2ζ62−2ζ14−2ζ622ζ14+2ζ6200002ζ14+2ζ62−2ζ14−2ζ6200000000−2ζ22−2ζ542ζ22+2ζ542ζ22+2ζ54−2ζ22−2ζ542ζ22+2ζ54−2ζ22−2ζ54−2ζ22−2ζ542ζ22+2ζ5400002ζ22+2ζ54−2ζ22−2ζ5400000000−2ζ18−2ζ582ζ18+2ζ582ζ18+2ζ58−2ζ18−2ζ582ζ18+2ζ58−2ζ18−2ζ58−2ζ18−2ζ582ζ18+2ζ5800002ζ18+2ζ58−2ζ18−2ζ58000000000000000000000000000000

Here ζ is a primitive root of unity of order 76 (ζ76 = 1); i = ζ19.