Finite Group Databasebeta

← Group #14484662

Character table — Group #14484662

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195
size111122222222222222222222222222223333444444444444444444444444444444444444444444444444444666666666666666666666666888888888888888888888888888101010101212121212121212121212121212121212121212121212121212122020202020202020202030303030404040404040606060606060
order122222223444455666101010101010202020202020202044444446666101010101010101012121212151520202020202020202020202020202020303030303030606060606060606022444444202020202020202020202020202020201212123030303030303030606060606060606060606060606060604444444101010102020202020202020202020202020202020202020444444121212124444121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ511111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1111-1-111-11-1-111-1
χ611111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-11111-1-111-1-1-111-1-11-111-1-11
χ711111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-11-1-1-1-11111-1-11-1-111-1-111-1-11
χ811111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11-11111-1-1-1-111-111-1-111-1-111-1
χ9111111-1-11-1-111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-11-111111111-11-11-1-1-11-11-1-1
χ10111111-1-11-1-111111111111111111111111111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-11-1-1-1-1-1-1-1-11-11-1111-11-111
χ11111111-1-11-1-1111111111111111111111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1111111111-1-1-1-11111-1-1-1-111111-1-1-11-11111-1-1-1-1-11-11-1-11-11-111
χ12111111-1-11-1-1111111111111111111111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111111111-1-1-1-11111-1-1-1-11111-1111-11-1-1-1-111111-11-111-11-11-1-1
χ13111111-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11-1-111-1-111-1-111-11-1-111-11
χ14111111-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-111-111-1-111-1-111-1-11-111-1-11-1
χ15111111-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-11-1-11111-1-1-1-111-1111-1-11-1
χ16111111-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111-111-1-1-1-11111-1-11-1-1-111-11
χ171111-1-1111-1-11111111111111111111111111-11-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-1-1111111111-1-11-11-1-1-11-11-1
χ181111-1-1111-1-11111111111111111111111111-11-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1111-1-1-1-1-1-1-1-1-111-11-1111-11-11
χ191111-1-1111-1-1111111111111111111111-1-1-1-1-11-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111111111111-1-1-1-11111-1-1-1-1-11-1-1-111111-1-1-1-1-1-11-11-111-11-11
χ201111-1-1111-1-1111111111111111111111-1-1-1-1-11-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1111111111111-1-1-1-11111-1-1-1-11-1111-1-1-1-1-1111111-11-11-1-11-11-1
χ211111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-111111-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-1-111-1-111-11-1-111-11-1-111
χ221111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-111111-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-1111-1-111-1-11-111-1-11-111-1-1
χ231111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-11-1-1-11111-1-1-11-1-1111-111-1-1
χ241111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1111-1-1-1-1111-111-1-1-11-1-111
χ251111-1-1-1-11111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-111-1-1-1-11
χ261111-1-1-1-11111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-11111-1
χ271111-1-1-1-1111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111-1-1-1-11-1-1-1-11-11111-1
χ281111-1-1-1-1111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-11111-11111-11-1-1-1-11
χ291111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1-111111-1-1-1111-1-1-1
χ301111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-111-1-1-1-1-1111-1-1-1111
χ311111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1111-1-1-1-1-1-1111
χ321111-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-1-1-1111111-1-1-1
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χ1918-88-80000-40000−2−25−2+2544-4−2−25−2+252+252+252−252−254ζ2−4ζ18−4ζ2+4ζ18−4ζ2+4ζ184ζ2−4ζ18−4ζ6+4ζ144ζ6−4ζ144ζ6−4ζ14−4ζ6+4ζ14000000000000000000000001+51−50000000000000000−1−5−1−5−1+5−1+51+51−5−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1928-8-880000-4008i−8i−2+25−2−254-442−252+252−25−2+252+25−2−25−4ζ11−4ζ194ζ11+4ζ19−4ζ11−4ζ194ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ7−4ζ3−4ζ74ζ3+4ζ7000000000000000000000−4i4i1−51+50000000000000000−1+51−5−1−51+5−1+5−1−52ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1938-8-880000-4008i−8i−2−25−2+254-442+252−252+25−2−252−25−2+25−4ζ3−4ζ74ζ3+4ζ7−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ19−4ζ11−4ζ194ζ11+4ζ19000000000000000000000−4i4i1+51−50000000000000000−1−51+5−1+51−5−1−5−1+52ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1948-8-880000-400−8i8i−2+25−2−254-442−252+252−25−2+252+25−2−254ζ11+4ζ19−4ζ11−4ζ194ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ74ζ3+4ζ7−4ζ3−4ζ70000000000000000000004i−4i1−51+50000000000000000−1+51−5−1−51+5−1+5−1−5−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1958-8-880000-400−8i8i−2−25−2+254-442+252−252+25−2−252−25−2+254ζ3+4ζ7−4ζ3−4ζ74ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ194ζ11+4ζ19−4ζ11−4ζ190000000000000000000004i−4i1+51−50000000000000000−1−51+5−1+51−5−1−5−1+5−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.