Finite Group Databasebeta

← Group #14483222

Character table — Group #14483222

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size1111222222222222222222222222444444444444444444444444444444444444444444444445555666688888888888888888888888888888810101010101010101010101010101010121212121212121212121212121220202020202020202020202020202024242424242424242424242430303030606060606060
order1222344444444556661010101010101212121244412121212121212121212121215152020202020202020202020202020202030303030303060606060606060604444444420202020202060606060606060606060606060606060606060606060606022222244121212121212121222222220202020202020204446666661212121212121010101010101010101010102222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ5111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ7111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-111111111111111-1-1-1-1
χ91111111-1-111-1-1111111111111111-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-111-1-111111111-11-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ101111111-1-111-1-1111111111111111-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111
χ111111111-1-111-1-1111111111111111-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111-1111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ121111111-1-111-1-1111111111111111-11-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1111-1-11111-1-1111111-1-1-1-111111111-1-111-1-1
χ131111111-1-1-1-111111111111111111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ141111111-1-1-1-111111111111111111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1
χ151111111-1-1-1-111111111111111111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ161111111-1-1-1-111111111111111111-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-11111-1-11111-1-111111111-1-1-1-11111-1-1-1-111
χ1711111-1-111111111111111111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11-11-11-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11-1
χ1811111-1-111111111111111111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-11-11-1-1-1-11111-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11-11-11
χ1911111-1-111111111111111111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-11-11-11111-1-1-1-1111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-11-11-11
χ2011111-1-111111111111111111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-11-1-1-1-11111111-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-11-11-11-1
χ2111111-1-111-1-1-1-111111111111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-11-111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1-11-11
χ2211111-1-111-1-1-1-111111111111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-111-11-1-1-1-1-11111-11111-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-111-11-1
χ2311111-1-111-1-1-1-111111111111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-111111-1-11-111111-1-1-1-11-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111-111-11-1
χ2411111-1-111-1-1-1-111111111111-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-11111-111-11-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-11-1-11-11
χ2511111-1-1-1-111-1-111111111111-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-111-1-111111-1-1-1-11-11-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-111-1-11
χ2611111-1-1-1-111-1-111111111111-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-111-1-1-1-1-111111-11-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-111-1
χ2711111-1-1-1-111-1-111111111111-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-111-1-111111-1-1-1-1-11-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1111-1-111-1
χ2811111-1-1-1-111-1-111111111111-1-1-1-11-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111111-1-111-1-1-1-1-11111-11-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-1-111-1-11
χ2911111-1-1-1-1-1-11111111111111-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-111-11111-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-11-111-1
χ3011111-1-1-1-1-1-11111111111111-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11-1-11-1-1-1-1111111-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-1111-11-1-11
χ3111111-1-1-1-1-1-11111111111111-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-11-111-11111-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111-11-1-11
χ3211111-1-1-1-1-1-11111111111111-1-1-1-111-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111111-11-1-11-1-1-1-11111-1-111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-11-111-1
χ332222222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ342222222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000-2-2-2-2-2-21+521+521−521−521+521+521−521−520000000000000001+521−521+521−521+521−521+521−521+521−521+521−520000000000
χ352222222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200002222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ362222222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000-2-2-2-2-2-21−521−521+521+521−521−521+521+520000000000000001−521+521−521+521−521+521−521+521−521+521−521+520000000000
χ37222222222-2-2-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222-2-22222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000022-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000
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χ17488-8-8-400000000−2−25−2+254-442+252−25−2−25−2+252+252−25−434343−430000000000000001+51−50000000000000000−1−5−1+5−1−51+5−1+51−52ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17588-8-8-400000000−2+25−2−254-442−252+25−2+25−2−252−252+2543−43−43430000000000000001−51+50000000000000000−1+5−1−5−1+51−5−1−51+52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ592ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ17688-8-8-400000000−2+25−2−254-442−252+25−2+25−2−252−252+25−434343−430000000000000001−51+50000000000000000−1+5−1−5−1+51−5−1−51+5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ59−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1778-88-8-48-8000000−2−25−2+2544-4−2−25−2+252+252−252+252−25-4-4440000000000000001+51−5−2−252+25−2+252−250000000000001+51−5−1−5−1−5−1+5−1+51+51+5−1−5−1−51−51−5−1+5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1788-88-8-48-8000000−2+25−2−2544-4−2+25−2−252−252+252−252+25-4-4440000000000000001−51+5−2+252−25−2−252+250000000000001−51+5−1+5−1+5−1−5−1−51−51−5−1+5−1+51+51+5−1−5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1798-88-8-4-88000000−2−25−2+2544-4−2−25−2+252+252−252+252−2544-4-40000000000000001+51−52+25−2−252−25−2+250000000000001+51−5−1−5−1−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1808-88-8-4-88000000−2+25−2−2544-4−2+25−2−252−252+252−252+2544-4-40000000000000001−51+52−25−2+252+25−2−250000000000001−51+5−1+5−1+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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