Finite Group Databasebeta

← Group #14320899

Character table — Group #14320899

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204
size1111111122222222222222222222222222223333333344444444444444444444444444444444444444444444444466666666666666666666888888888888888888888888888810101010101010101212121212121212121212121212121212121212121212121212121220202020202020202020202030303030303030304040404060606060
order12222222344445566666661010101010101010101010101010444444442244101010101010101012121212151520202020202020202020202020202020303030303030303030303030303044442020202020202020202020202020202066121230303030303030306060606060606060606060606060606044444444444420202020202020202020202020202020202020202020202022441212121212121212444444446612124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111-1-1-1-1111111111111111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ10111111111-1-1-1-1111111111111111111111111111111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111-1-1-1-11111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111-1-1-1-11111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ13111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ14111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ15111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ16111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ171-1-1111-1-11ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1i−i1111-1-1-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1-1i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i1-1i−i
χ181-1-1111-1-11ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1i−i1111-1-1-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-11-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii1-1i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iii-1-111−i−iii-11−ii-11−ii
χ191-1-1111-1-11ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11−ii-1-1-1-11111ii−i−i11iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-11−iiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11−ii11-1-1ii−i−i11-1-1ii−i−i-11−ii-11−ii
χ201-1-1111-1-11ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11−ii-1-1-1-11111ii−i−i11iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii-11−iiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1i−i-1-111−i−iii-1-111−i−iii1-1i−i1-1i−i
χ211-1-1111-1-11ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1i−i1111-1-1-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1111111111-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i-11−ii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111-1i−i11-1-1ii−i−i-1-111−i−iii1-1i−i-11−ii
χ221-1-1111-1-11ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1i−i1111-1-1-1-1ii−i−i11iiii−i−i−i−iiiii−i−i−i−i111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-1111111111-1i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii-11−ii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-11−ii-1-111−i−iii11-1-1ii−i−i-11−ii1-1i−i
χ231-1-1111-1-11ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11−ii-1-1-1-11111ii−i−i11iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-111111111-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i1-1i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-11−ii11-1-1ii−i−i-1-111−i−iii-11−ii1-1i−i
χ241-1-1111-1-11ii−i−i1111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11−ii-1-1-1-11111ii−i−i11iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−iii-1-1-1-1-1-1-1-111111111-11−ii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii1-1i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1i−i-1-111−i−iii11-1-1ii−i−i1-1i−i-11−ii
χ251-1-1111-1-11−i−iii1111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1−ii1111-1-1-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1-1−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii
χ261-1-1111-1-11−i−iii1111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11-1−ii1111-1-1-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-11-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i1-1−ii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i-1-111ii−i−i-11i−i-11i−i
χ271-1-1111-1-11−i−iii1111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11i−i-1-1-1-11111−i−iii11−i−i−i−iiiiiiiii−i−i−i−i111111-1-1-1-1-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii-11i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11i−i11-1-1−i−iii11-1-1−i−iii-11i−i-11i−i
χ281-1-1111-1-11−i−iii1111-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11i−i-1-1-1-11111−i−iii11−i−i−i−iiiiiiiii−i−i−i−i111111-1-1-1-1-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i-11i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1−ii-1-111ii−i−i-1-111ii−i−i1-1−ii1-1−ii
χ291-1-1111-1-11−i−iii1111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1−ii1111-1-1-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1111111111-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii-11i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111-1−ii11-1-1−i−iii-1-111ii−i−i1-1−ii-11i−i
χ301-1-1111-1-11−i−iii1111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1−ii1111-1-1-1-1−i−iii11−i−i−i−iiiii−i−i−i−iiiii111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-1111111111-1−ii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−i-11i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-11i−i-1-111ii−i−i11-1-1−i−iii-11i−i1-1−ii
χ311-1-1111-1-11−i−iii1111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11i−i-1-1-1-11111−i−iii11−i−i−i−iiiiiiiii−i−i−i−i111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-111111111-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−iii1-1−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-11i−i11-1-1−i−iii-1-111ii−i−i-11i−i1-1−ii
χ321-1-1111-1-11−i−iii1111-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11i−i-1-1-1-11111−i−iii11−i−i−i−iiiiiiiii−i−i−i−i111111-1-1-1-1-1-1-1-1ii−i−i-1-1-1-1-1-1-1-111111111-11i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i1-1−iiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1−ii-1-111ii−i−i11-1-1−i−iii1-1−ii-11i−i
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.