Finite Group Databasebeta

← Group #14484660

Character table — Group #14484660

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size1111222222222222222222222222444444444444444444444444444444444444444444444445555666688888888888888888888888888888810101010101010101010101010101010121212121212121212121212121220202020202020202020202020202024242424242424242424242430303030606060606060
order1222222234444556661010101010101212121244466661010101010101010121212121212121215152020202020202020303030303030606060606060606044444444202020202020303030303030303060606060606060606060606060606060224444441212121212121212444444202020202020202044466121212121212121212122020202020202020202020204444444444
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
χ511111111111-1-111111111111-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-11-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1
χ611111111111-1-111111111111-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11-1111111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-11
χ711111111111-1-111111111111-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-11111-1-111-1-1-111-1-11
χ811111111111-1-111111111111-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1111111-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1111-1-111-1
χ9111111-1-11-1-1111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111111111-1-1-11-111111111-11-1-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-11-11-1-1
χ10111111-1-11-1-1111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1111-11-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-11-11-111
χ11111111-1-11-1-1111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11-1111111111-111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11-11-111
χ12111111-1-11-1-1111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-11-111111-1-111-1-11111-1-111-1-111111111-11-11-1-1
χ13111111-1-11-1-1-1-111111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-11-1-11-1-1-1-111111-11-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-11
χ14111111-1-11-1-1-1-111111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-11-111-11111-1-1-1-11-11-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11-1
χ15111111-1-11-1-1-1-111111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-111111-11-1-11-1-1-1-11111-11-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-111-1-11-1
χ16111111-1-11-1-1-1-111111111111-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-11-111-11111-1-1-1-1-11-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-111-11
χ171111-1-1111-1-111111111111111111-11-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-11-1-1-1111111111-1-11-1-1-1-1-1-111-1-111-1-1-1-111-1-111-1-11111-1-11-11-1
χ181111-1-1111-1-111111111111111111-11-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-111-11-11
χ191111-1-1111-1-111111111111111111-11-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111111-1111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-11-11
χ201111-1-1111-1-111111111111111111-11-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-111-1111111-1-111-1-11111-1-111-1-1111111-1-11-11-1
χ211111-1-1111-1-1-1-111111111111-1-1-1-11-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-11-1-1-1-1-1111111-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-11-1-111
χ221111-1-1111-1-1-1-111111111111-1-1-1-11-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-11-111111-1-1-1-111-1-1-111-1-11111-1-111-1-11111-1-1-1-111-1-11-111-1-1
χ231111-1-1111-1-1-1-111111111111-1-1-1-11-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-11111-111-11-1-1-1-1-11111-1-1111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-11-111-1-1
χ241111-1-1111-1-1-1-111111111111-1-1-1-11-11-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111111-1-11-111111-1-1-1-1-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-11-1-111
χ251111-1-1-1-111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11
χ261111-1-1-1-111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1
χ271111-1-1-1-111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1
χ281111-1-1-1-111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111111111-1-111111-1-1-1-11
χ291111-1-1-1-1111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-11111-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1
χ301111-1-1-1-1111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1111
χ311111-1-1-1-1111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1111-1-1-1-111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1111
χ321111-1-1-1-1111-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-11111111-1-1-11111-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1
χ332222222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+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+5222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+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+52−1−5222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+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+52−1−5222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+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
χ3722222222222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000022-2-21+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+521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000022-22-2-21+521+521−521−52−1−52−1−52−1+52−1+52000000000000000−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+521+521−520000000000
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χ1718-88-8000080000−2−25−2+258-8-82+252−252+252−25−2−25−2+25000000000000000000000000000−2−25−2+25000000002+252+252−252−25−2−25−2+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1728-88-8000080000−2+25−2−258-8-82−252+252−252+25−2+25−2−25000000000000000000000000000−2+25−2−25000000002−252−252+252+25−2+25−2−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1738-88-80000-40000−2−25−2+25-4442+252−252+252−25−2−25−2+25−4i34i34i3−4i3000000000000000000000001+51−500000000−1−5−1−5−1+5−1+51+51−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-88-80000-40000−2−25−2+25-4442+252−252+252−25−2−25−2+254i3−4i3−4i34i3000000000000000000000001+51−500000000−1−5−1−5−1+5−1+51+51−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1798-8-880000-400−8i8i−2−25−2+2544-42+252−25−2−25−2+252+252−254i−4i4i−4i000000000000000000000001+51−500004ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ47−1−51+5−1+51−5−1−5−1+5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1808-8-880000-400−8i8i−2+25−2−2544-42−252+25−2+25−2−252−252+254i−4i4i−4i000000000000000000000001−51+500004ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ59−1+51−5−1−51+5−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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