Finite Group Databasebeta

← Group #14769817

Character table — Group #14769817

Order 2816.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218
size1111222222222222222222222222222222444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161622222222444444444444444444444444444444444444888888888888
order122222444488881111111111222222222222222222222222222222444488222222222222222222224444444444444444444444444444444444444444888888888888888888888888888888888888888844448888884444444444444444444444444444444444444444888888888888888888888888888888888888888888888888888888888888444444444444444444444444444444444444444488888888888888888888888888888888888888888888222222444444444488444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ61111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111
χ71111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-11111111111-1-1-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ91111111111-1-1-1-1111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ101111111111-1-1-1-1111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111
χ111111111111-1-1-1-1111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-111-1-1-1-111-1-111-1-1
χ121111111111-1-1-1-1111111111111111111111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-111
χ131111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111
χ141111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1
χ151111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111-1-11111
χ161111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-111-1-1-1-1
χ171-11-11-11-11-111-1-111111-1-1-1-1-1-1-1-1-1-111111i−ii−i1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1i−ii−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−iii−i−i1-11-11-11-11-11-1ii−i−ii−ii−ii−i1-1
χ181-11-11-11-11-111-1-111111-1-1-1-1-1-1-1-1-1-111111i−ii−i1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1i−ii−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-111111-1-1-1-1-1iiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−iii-11-11-11-11-11-11−i−iii−ii−ii−ii-11
χ191-11-11-11-11-111-1-111111-1-1-1-1-1-1-1-1-1-111111i−ii−i1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11i−i−ii−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111-1-1-1-1-111111−i−i−i−i−iiiiii−i−i−i−i−iiiiiiii−i−i1-1-11-111-1-11-11ii−i−ii−i−ii−ii1-1
χ201-11-11-11-11-111-1-111111-1-1-1-1-1-1-1-1-1-111111i−ii−i1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11i−i−ii−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111-1-1-1-1-111111−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−iii-111-11-1-111-11-1−i−iii−iii−ii−i-11
χ211-11-11-11-11-111-1-111111-1-1-1-1-1-1-1-1-1-111111−ii−ii1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiiiii−i−i-11-11-11-11-11-11ii−i−ii−ii−ii−i-11
χ221-11-11-11-11-111-1-111111-1-1-1-1-1-1-1-1-1-111111−ii−ii1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-111111-1-1-1-1-1−i−i−i−i−iiiiii−i−i−i−i−iiiiii−i−iii1-11-11-11-11-11-1−i−iii−ii−ii−ii1-1
χ231-11-11-11-11-111-1-111111-1-1-1-1-1-1-1-1-1-111111−ii−ii1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11−iii−ii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111-1-1-1-1-111111iiiii−i−i−i−i−iiiiii−i−i−i−i−iii−i−i-111-11-1-111-11-1ii−i−ii−i−ii−ii-11
χ241-11-11-11-11-111-1-111111-1-1-1-1-1-1-1-1-1-111111−ii−ii1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11−iii−ii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111-1-1-1-1-111111iiiii−i−i−i−i−iiiiii−i−i−i−i−i−i−iii1-1-11-111-1-11-11−i−iii−iii−ii−i1-1
χ251-11-11-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-111111i−ii−i-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11−iii−i−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiiiii−i−i1-11-1-111-11-1-11−i−iiii−ii−i−ii-11
χ261-11-11-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-111111i−ii−i-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11−iii−i−iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii11111-1-1-1-1-1-1-1-1-1-111111iiiii−i−i−i−i−i−i−i−i−i−iiiiii−i−iii-11-111-1-11-111-1ii−i−i−ii−iii−i1-1
χ271-11-11-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-111111i−ii−i-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1−ii−iii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-11111111111-1-1-1-1-1−i−i−i−i−iiiiiiiiiii−i−i−i−i−iii−i−i1-1-111-11-1-111-1−i−iiii−i−iii−i-11
χ281-11-11-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-111111i−ii−i-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1−ii−iii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-111111−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-11111111111-1-1-1-1-1−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−iii-111-1-11-111-1-11ii−i−i−iii−i−ii1-1
χ291-11-11-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-111111−ii−ii-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11i−i−iii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−iii−i−i-11-111-1-11-111-1−i−iiii−ii−i−ii1-1
χ301-11-11-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-111111−ii−ii-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11i−i−iii−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i11111-1-1-1-1-1-1-1-1-1-111111−i−i−i−i−iiiiiiiiiii−i−i−i−i−i−i−iii1-11-1-111-11-1-11ii−i−i−ii−iii−i-11
χ311-11-11-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-111111−ii−ii-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1i−ii−i−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-11111111111-1-1-1-1-1iiiii−i−i−i−i−i−i−i−i−i−iiiiiiii−i−i-111-1-11-111-1-11−i−iiii−i−iii−i1-1
χ321-11-11-11-11-1-1-11111111-1-1-1-1-1-1-1-1-1-111111−ii−ii-1111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1i−ii−i−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii-1-1-1-1-111111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i-1-1-1-1-11111111111-1-1-1-1-1iiiii−i−i−i−i−i−i−i−i−i−iiiiii−i−iii1-1-111-11-1-111-1ii−i−i−iii−i−ii-11
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Here ζ is a primitive root of unity of order 88 (ζ88 = 1); i = ζ22.