Finite Group Databasebeta

← Group #14479019

Character table — Group #14479019

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216
size1111222222222222222222222244444444444466666666666666662222444444444444444444444488888888888812121212121212121212121212121212222244444444444444444444448888888888881212121212121212121212121212121255551010101010101010101010101010101010101010101020202020202020202020202030303030303030303030303030303030
order122234444444444444466612121212121212121212121212121212224444444444444451010101520202020202020202020202020203030306060606060606060606060606060606010102020202020202020202020202020510101015202020202020202020202020202030303060606060606060606060606060606060101020202020202020202020202020202222644444444444444666121212121212121212121212121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1
χ4111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111111-1-1-1-111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ51111111-1-111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1
χ61111111-1-111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111111-1-111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111111-1-111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111111-1-111-1-1-1-111-1-1111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111
χ71111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111111-1-1-1-111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ911111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111
χ1011111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111111-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1
χ1111111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1
χ1211111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-11111111-1-111-1-111-1-111-1-11111111-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111
χ1311111-1-1-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1411111-1-1-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111-1-1-1-1111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1511111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111
χ1611111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1
χ171-1-111i−ii−ii−ii−i1-11-11-1-11-1ii−i−ii−ii−i1-1i−i1-11-11-1i−ii−ii−ii−i1-11-11-11-1-111i−ii−ii−ii−i1-11-11-1-11-1ii−i−ii−ii−i1-1i−i1-11-11-1i−ii−ii−ii−i1-11-11-11-1-111i−ii−ii−ii−i1-11-11-1-11-1ii−i−ii−ii−i1-1i−i1-11-11-1i−ii−ii−ii−i1-11-11-11-1-111i−ii−ii−ii−i1-11-11-1-11-1ii−i−ii−ii−i1-1i−i1-11-11-1i−ii−ii−ii−i1-11-11-1
χ181-1-111i−ii−ii−ii−i1-11-11-1-11-1ii−i−ii−ii−i1-1i−i1-11-1-11−ii−ii−ii−ii-11-11-111-1-111i−ii−ii−ii−i1-11-11-1-11-1ii−i−ii−ii−i1-1i−i1-11-1-11−ii−ii−ii−ii-11-11-111-1-111i−ii−ii−ii−i1-11-11-1-11-1ii−i−ii−ii−i1-1i−i1-11-1-11−ii−ii−ii−ii-11-11-111-1-111i−ii−ii−ii−i1-11-11-1-11-1ii−i−ii−ii−i1-1i−i1-11-1-11−ii−ii−ii−ii-11-11-11
χ191-1-111i−ii−i−ii−ii1-1-11-11-11-1−i−iiii−ii−i1-1−ii-11-111-1−iii−ii−i−ii1-1-11-111-1-111i−ii−i−ii−ii1-1-11-11-11-1−i−iiii−ii−i1-1−ii-11-111-1−iii−ii−i−ii1-1-11-111-1-111i−ii−i−ii−ii1-1-11-11-11-1−i−iiii−ii−i1-1−ii-11-111-1−iii−ii−i−ii1-1-11-111-1-111i−ii−i−ii−ii1-1-11-11-11-1−i−iiii−ii−i1-1−ii-11-111-1−iii−ii−i−ii1-1-11-11
χ201-1-111i−ii−i−ii−ii1-1-11-11-11-1−i−iiii−ii−i1-1−ii-11-11-11i−i−ii−iii−i-111-11-11-1-111i−ii−i−ii−ii1-1-11-11-11-1−i−iiii−ii−i1-1−ii-11-11-11i−i−ii−iii−i-111-11-11-1-111i−ii−i−ii−ii1-1-11-11-11-1−i−iiii−ii−i1-1−ii-11-11-11i−i−ii−iii−i-111-11-11-1-111i−ii−i−ii−ii1-1-11-11-11-1−i−iiii−ii−i1-1−ii-11-11-11i−i−ii−iii−i-111-11-1
χ211-1-111i−i−iii−i−ii-111-1-11-11-1−i−iiii−i−ii-11i−i1-1-111-1−iii−i−iii−i-111-1-111-1-111i−i−iii−i−ii-111-1-11-11-1−i−iiii−i−ii-11i−i1-1-111-1−iii−i−iii−i-111-1-111-1-111i−i−iii−i−ii-111-1-11-11-1−i−iiii−i−ii-11i−i1-1-111-1−iii−i−iii−i-111-1-111-1-111i−i−iii−i−ii-111-1-11-11-1−i−iiii−i−ii-11i−i1-1-111-1−iii−i−iii−i-111-1-11
χ221-1-111i−i−iii−i−ii-111-1-11-11-1−i−iiii−i−ii-11i−i1-1-11-11i−i−iii−i−ii1-1-111-11-1-111i−i−iii−i−ii-111-1-11-11-1−i−iiii−i−ii-11i−i1-1-11-11i−i−iii−i−ii1-1-111-11-1-111i−i−iii−i−ii-111-1-11-11-1−i−iiii−i−ii-11i−i1-1-11-11i−i−iii−i−ii1-1-111-11-1-111i−i−iii−i−ii-111-1-11-11-1−i−iiii−i−ii-11i−i1-1-11-11i−i−iii−i−ii1-1-111-1
χ231-1-111i−i−ii−iii−i-11-111-1-11-1ii−i−ii−i−ii-11−ii-111-11-1i−ii−i−ii−ii-11-111-11-1-111i−i−ii−iii−i-11-111-1-11-1ii−i−ii−i−ii-11−ii-111-11-1i−ii−i−ii−ii-11-111-11-1-111i−i−ii−iii−i-11-111-1-11-1ii−i−ii−i−ii-11−ii-111-11-1i−ii−i−ii−ii-11-111-11-1-111i−i−ii−iii−i-11-111-1-11-1ii−i−ii−i−ii-11−ii-111-11-1i−ii−i−ii−ii-11-111-1
χ241-1-111i−i−ii−iii−i-11-111-1-11-1ii−i−ii−i−ii-11−ii-111-1-11−ii−iii−ii−i1-11-1-111-1-111i−i−ii−iii−i-11-111-1-11-1ii−i−ii−i−ii-11−ii-111-1-11−ii−iii−ii−i1-11-1-111-1-111i−i−ii−iii−i-11-111-1-11-1ii−i−ii−i−ii-11−ii-111-1-11−ii−iii−ii−i1-11-1-111-1-111i−i−ii−iii−i-11-111-1-11-1ii−i−ii−i−ii-11−ii-111-1-11−ii−iii−ii−i1-11-1-11
χ251-1-111−iii−ii−i−ii-11-111-1-11-1−i−iii−iii−i-11i−i-111-11-1−ii−iii−ii−i-11-111-11-1-111−iii−ii−i−ii-11-111-1-11-1−i−iii−iii−i-11i−i-111-11-1−ii−iii−ii−i-11-111-11-1-111−iii−ii−i−ii-11-111-1-11-1−i−iii−iii−i-11i−i-111-11-1−ii−iii−ii−i-11-111-11-1-111−iii−ii−i−ii-11-111-1-11-1−i−iii−iii−i-11i−i-111-11-1−ii−iii−ii−i-11-111-1
χ261-1-111−iii−ii−i−ii-11-111-1-11-1−i−iii−iii−i-11i−i-111-1-11i−ii−i−ii−ii1-11-1-111-1-111−iii−ii−i−ii-11-111-1-11-1−i−iii−iii−i-11i−i-111-1-11i−ii−i−ii−ii1-11-1-111-1-111−iii−ii−i−ii-11-111-1-11-1−i−iii−iii−i-11i−i-111-1-11i−ii−i−ii−ii1-11-1-111-1-111−iii−ii−i−ii-11-111-1-11-1−i−iii−iii−i-11i−i-111-1-11i−ii−i−ii−ii1-11-1-11
χ271-1-111−iii−i−iii−i-111-1-11-11-1ii−i−i−iii−i-11−ii1-1-111-1i−i−iii−i−ii-111-1-111-1-111−iii−i−iii−i-111-1-11-11-1ii−i−i−iii−i-11−ii1-1-111-1i−i−iii−i−ii-111-1-111-1-111−iii−i−iii−i-111-1-11-11-1ii−i−i−iii−i-11−ii1-1-111-1i−i−iii−i−ii-111-1-111-1-111−iii−i−iii−i-111-1-11-11-1ii−i−i−iii−i-11−ii1-1-111-1i−i−iii−i−ii-111-1-11
χ281-1-111−iii−i−iii−i-111-1-11-11-1ii−i−i−iii−i-11−ii1-1-11-11−iii−i−iii−i1-1-111-11-1-111−iii−i−iii−i-111-1-11-11-1ii−i−i−iii−i-11−ii1-1-11-11−iii−i−iii−i1-1-111-11-1-111−iii−i−iii−i-111-1-11-11-1ii−i−i−iii−i-11−ii1-1-11-11−iii−i−iii−i1-1-111-11-1-111−iii−i−iii−i-111-1-11-11-1ii−i−i−iii−i-11−ii1-1-11-11−iii−i−iii−i1-1-111-1
χ291-1-111−ii−iii−ii−i1-1-11-11-11-1ii−i−i−ii−ii1-1i−i-11-111-1i−i−ii−iii−i1-1-11-111-1-111−ii−iii−ii−i1-1-11-11-11-1ii−i−i−ii−ii1-1i−i-11-111-1i−i−ii−iii−i1-1-11-111-1-111−ii−iii−ii−i1-1-11-11-11-1ii−i−i−ii−ii1-1i−i-11-111-1i−i−ii−iii−i1-1-11-111-1-111−ii−iii−ii−i1-1-11-11-11-1ii−i−i−ii−ii1-1i−i-11-111-1i−i−ii−iii−i1-1-11-11
χ301-1-111−ii−iii−ii−i1-1-11-11-11-1ii−i−i−ii−ii1-1i−i-11-11-11−iii−ii−i−ii-111-11-11-1-111−ii−iii−ii−i1-1-11-11-11-1ii−i−i−ii−ii1-1i−i-11-11-11−iii−ii−i−ii-111-11-11-1-111−ii−iii−ii−i1-1-11-11-11-1ii−i−i−ii−ii1-1i−i-11-11-11−iii−ii−i−ii-111-11-11-1-111−ii−iii−ii−i1-1-11-11-11-1ii−i−i−ii−ii1-1i−i-11-11-11−iii−ii−i−ii-111-11-1
χ311-1-111−ii−ii−ii−ii1-11-11-1-11-1−i−iii−ii−ii1-1−ii1-11-11-1−ii−ii−ii−ii1-11-11-11-1-111−ii−ii−ii−ii1-11-11-1-11-1−i−iii−ii−ii1-1−ii1-11-11-1−ii−ii−ii−ii1-11-11-11-1-111−ii−ii−ii−ii1-11-11-1-11-1−i−iii−ii−ii1-1−ii1-11-11-1−ii−ii−ii−ii1-11-11-11-1-111−ii−ii−ii−ii1-11-11-1-11-1−i−iii−ii−ii1-1−ii1-11-11-1−ii−ii−ii−ii1-11-11-1
χ321-1-111−ii−ii−ii−ii1-11-11-1-11-1−i−iii−ii−ii1-1−ii1-11-1-11i−ii−ii−ii−i-11-11-111-1-111−ii−ii−ii−ii1-11-11-1-11-1−i−iii−ii−ii1-1−ii1-11-1-11i−ii−ii−ii−i-11-11-111-1-111−ii−ii−ii−ii1-11-11-1-11-1−i−iii−ii−ii1-1−ii1-11-1-11i−ii−ii−ii−i-11-11-111-1-111−ii−ii−ii−ii1-11-11-1-11-1−i−iii−ii−ii1-1−ii1-11-1-11i−ii−ii−ii−i-11-11-11
χ332222-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ342222-12222-2-2-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-111111100000000000000002222-12222-2-2-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-111111100000000000000002222-12222-2-2-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-111111100000000000000002222-12222-2-2-2-222-2-2-2-2-1-1-11111-1-1-1-1-1-11111110000000000000000
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χ21188-8-8800000000000000-8-8800000000000000000000000000000000−2−25−2−252+252+25−2−25000000000000002+252+25−2−2500000000000000000000000000000000−2+25−2+252−252−25−2+25000000000000002−252−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ2158-88-8-400000000000000-444−4i34i34i3−4i30000000000000000000000000000−2−252+25−2−252+251+5000000000000001+5−1−5−1−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ460000000000000000000000000000−2+252−25−2+252−251−5000000000000001−5−1+5−1+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ2168-88-8-400000000000000-4444i3−4i3−4i34i30000000000000000000000000000−2−252+25−2−252+251+5000000000000001+5−1−5−1−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ460000000000000000000000000000−2+252−25−2+252−251−5000000000000001−5−1+5−1+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ580000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.