Finite Group Databasebeta

← Group #14484166

Character table — Group #14484166

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165
size1111222222222222222222224444444444444444444444444444444444444444444666688888888888888888888888888888888810101010121212121212121212121212121215151515202020202020202020202424242424242424242424243030303030303030404040404040606060
order1222222234444556661010101010102446666101010101010101012121212151520202020202020203030303030306060606060606060224461010121220202020303030303030303030303030606060606060606060606060444422444410101010202020204444244444121212121010101020202020202020204444444461212121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111
χ511111111111-1-111111111111-1-1-111111111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-111111
χ611111111111-1-111111111111-1-1-111111111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-11111-1-1-1-11111-1-1-111111-1-11111-1-111-1-1-1-1-1-1111111-1111-1-1-1-1-1
χ711111111111-1-111111111111-1-1-111111111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-11111111-1-1-111-1-1-1
χ811111111111-1-111111111111-1-1-111111111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1111-1-1111
χ9111111-1-11-1-11111111111111-11-111-1-11111-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1111111111111-11-1-11-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11-11-11-1-1
χ10111111-1-11-1-11111111111111-11-111-1-11111-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-11-111-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-11-11-111
χ11111111-1-11-1-11111111111111-11-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-11111-1-1111111-1-111-1-111-1-111-1-11-11-1-111
χ12111111-1-11-1-11111111111111-11-111-1-11111-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-111111-111-11-1-1-1-1-1-1111111-1-11111-1-111-1-111-11-111-1-1
χ13111111-1-11-1-1-1-1111111111111-1111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-1111111-1-1-1-1-1-1-1-1-11-11-11-1-11111-1-111-1-1-1-1111111-1-111-11-111-11-1-1
χ14111111-1-11-1-1-1-1111111111111-1111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-1-1111111-1-1-1-111111-11-11-111-1-111-1-111-1-1-1-111-1-1-1-111-1-11-11-1-11-111
χ15111111-1-11-1-1-1-1111111111111-1111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-1-1-111111111-11-11-11-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-11-111-1-111
χ16111111-1-11-1-1-1-1111111111111-1111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1111-1-1-1-1-1-11111-1-1-1-11-11-11-111-1-1-1-111-1-11111-1-11111-1-1111-11-1-111-1-1
χ171111-1-1111-1-11111111111111-1-11-1-111-1-1-1-11111-1-11111-1-1-1-11111111111111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-11-1111111111111-1-11-1-111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-11-11-11-1
χ181111-1-1111-1-11111111111111-1-11-1-111-1-1-1-11111-1-11111-1-1-1-11111111111111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-11-111111111-1-1-1-111-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1111-11-11-11
χ191111-1-1111-1-11111111111111-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1111111-1-1-1-11111-1-1-1-1-11-111-11
χ201111-1-1111-1-11111111111111-1-11-1-111-1-1-1-11111-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-1-1-1-1-1-1111111-111-1-1-1-1-111-1-1111111-1-111-1-1-1-111111-11-1-11-1
χ211111-1-1111-1-1-1-11111111111111-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-11-11-111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-11111-1-111-1-1111111-1-1-111-1-11-11-1
χ221111-1-1111-1-1-1-11111111111111-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-11-11-111111-1-1-1-1111111-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-1-111-11-11
χ231111-1-1111-1-1-1-11111111111111-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-11-11-11-1-1-1-1-111111111-1-1111-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-111-1-111-11
χ241111-1-1111-1-1-1-11111111111111-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111-11-11-1-1-1-1-11111-1-1-1-111-1-1-1111-1-111-1-1-1-111-1-111111111-1-11-1-111-1-11-1
χ251111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11-1-111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11
χ261111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1
χ271111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1
χ281111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-11111-111-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11
χ291111-1-1-1-1111-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-111111111-1-111111-111-1-1-1-11
χ301111-1-1-1-1111-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111-11111-1-1-1-11111-1111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-11-1-11111-1
χ311111-1-1-1-1111-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-11-1-1-1-1111111111-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1
χ321111-1-1-1-1111-1-111111111111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-11-1-1-1-11111-1-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-111-1-11111-11-1-111-1-11
χ332222222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000
χ342222222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2-2-21+521+521−521−521+521+521−521−52000000000000001+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000
χ352222222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000
χ362222222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2-2-21−521−521+521+521−521−521+521+52000000000000001−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000
χ3722222222222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+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+521−521−521−521−5222-2-2-21+521−52-2-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000222-2-2-2−1−52−1−52−1+52−1+521+521+521−521−5200000000000000−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−521+521−5200000000000000000
χ3822222222222-2-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+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+521−521−521−521−52-2-222-21+521−52-2-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-2-2-22221+521+521−521−52−1−52−1−52−1+52−1+52000000000000001+521−521+521−52−1−52−1+521+521−52−1−52−1+52−1−52−1+5200000000000000000
χ3922222222222-2-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222-2-2−1+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+5222-2-2-21−521+52-2-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000222-2-2-2−1+52−1+52−1−52−1−521−521−521+521+5200000000000000−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+521−521+5200000000000000000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.