Finite Group Databasebeta

← Group #14495160

Character table — Group #14495160

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size11112222222222222244444444444444444444446666888888888888888888888888888881010101010101212121212121212121212121212161616161616161620202020202020202020202020242424242424242424242424303030303030404040406060606060
order122234455666101010101010224444121212121515202020203030303030304444661010101012121220202020202020206060606060606060606060604444442444442020202020202020303030306060606022444121212121212121210102020202020202020202044444466121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111
χ51111111111111111111-11-1-1-1-1-11111111111111111111-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-111-1-11-1-1-1-1111111-1-111-1-1-1-1-1-111-1-11111111-1-1-1-1-11-1-1
χ61111111111111111111-11-1-1-1-1-11111111111111111111-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-111-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-111
χ71111111111111111111-11-1-1-1-1-111111111111111-1-1-1-11-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-11-1-1-111-111
χ81111111111111111111-11-1-1-1-1-111111111111111-1-1-1-11-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-1-1-1-1-111-1-1111111-1-111111111-1111-1-11-1-1
χ9111111111111111111-11-11-1-1-1-1111111111111111111-11-1-111-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1111111111-1-111-1-111-11-11-11111-1-111-1-11111-1-1-1-1-1-111-1-111-11-1-11-1-1-11
χ10111111111111111111-11-11-1-1-1-1111111111111111111-11-1-111-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1111111111-1-111-1-1111-11-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11-111-1111-1
χ11111111111111111111-11-11-1-1-1-111111111111111-1-1-1-1-11-1-111-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111-11-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11-11111-1-11111-1-1-1-1111111-1-111-1-1-11-1-1-1111-1
χ12111111111111111111-11-11-1-1-1-111111111111111-1-1-1-1-11-1-111-11-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-11-1-1-1-111-1-111-1-1-1-111111111-1-1111-1111-1-1-11
χ13111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111111111111111-1-1-1-11-11-111111111-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-11-11-1
χ14111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111111-1-1-1-111-1-11-11-111111111-1-1-1-1-1-1-1-111-11-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-11-11
χ15111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111111111111111-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1111-11-11
χ16111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111111111111111-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-1-11111111111-1-111-1-111-1-11111-1-1-11-11-1
χ1711111-1-11111111111111-1-11-111-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1-111111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-11-111-11
χ1811111-1-11111111111111-1-11-111-1-111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-11-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1111111-1-111-1-11111-1-11111-1-1-1-11-11-1-11-1
χ1911111-1-11111111111111-1-11-111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11-111-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-111-1-11-1
χ2011111-1-11111111111111-1-11-111-1-111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-11-1-111-11
χ2111111-1-1111111111111-1-11-11-1-1-1-111-1-1-1-111111111-1-11-111-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111-111-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-11-11-111-1
χ2211111-1-1111111111111-1-11-11-1-1-1-111-1-1-1-111111111-1-11-111-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1111-1-1-1-1-1-1111111-1-1-1-111-11-1-11-1-11111-1-1-1-1-1-111-1-111111111-1-1-11-11-11-1-11
χ2311111-1-1111111111111-1-11-11-1-1-1-111-1-1-1-1111111-1-1111-111-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1111111-1-1-1-111-1-1-1-1111-111-111-1-1-1-1111111-1-111-1-1-1-11111-1-11-11-1-11-1-11
χ2411111-1-1111111111111-1-11-11-1-1-1-111-1-1-1-1111111-1-1111-111-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-1111111-1-1-1-111-1-1-1-111-11-1-11-1-11111-1-11111-1-111-1-1-1-1-1-1-1-111-11-111-111-1
χ2511111-1-111111111111-111-1-11-1-1-1-111-1-1-1-111111111-1-1-11-1-1111-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-11-1-11-1-1-1-11111-1-11111-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-111-1-1-1-111
χ2611111-1-111111111111-111-1-11-1-1-1-111-1-1-1-111111111-1-1-11-1-1111-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-11-1-11-1-1-1-11111-1-11111-1-11-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-11111-1-1
χ2711111-1-111111111111-111-1-11-1-1-1-111-1-1-1-1111111-1-111-11-1-1111-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-111-11111-1-1-1-1-1-11111-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1111-1-1
χ2811111-1-111111111111-111-1-11-1-1-1-111-1-1-1-1111111-1-111-11-1-1111-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-11-111-11111-1-1-1-1-1-11111-1-11-1-111-1-111-1-111-1-1-1-1111111-1-1-1-111111-1-11-1-1-111
χ2911111-1-111111111111-1-1111-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111-1-111-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1111-1-1-1
χ3011111-1-111111111111-1-1111-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-111-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111-1-1-1111
χ3111111-1-111111111111-1-1111-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-111-1-111111-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-11-1-1111
χ3211111-1-111111111111-1-1111-111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111111-111-1-1-1
χ332222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52222222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000
χ342222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-2-2-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000001+521−521+521−521+521−521+521−521+521−521+521−52000000000000000
χ352222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-22-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222-2−1−52−1+521+521−522-2-21+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000022-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000000000000−1−52−1+521+521−521+521−521+521−52−1−52−1+521+521−52000000000000000
χ362222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-22-2-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-22-2−1−52−1+521+521−522-2-21+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000-2-222221+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−5200000000000001+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+52000000000000000
χ372222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-221+521−52−1−52−1+52-22-21+521−521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000-2-2-22-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+5200000000000001+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52000000000000000
χ382222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-22-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-221+521−52−1−52−1+52-22-21+521−521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000222-22-21+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000000−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000
χ392222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222-2-21+521−521+521−52-2-22−1−52−1+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+52000000-2-22-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−5200000000000001+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000
χ402222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-21+521−521+521−52-2-22−1−52−1+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+5200000022-22-221+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−520000000000000−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000
χ412222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52222222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000
χ422222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-2-2-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000001−521+521−521+521−521+521−521+521−521+521−521+52000000000000000
χ432222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-22-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222-2−1+52−1−521−521+522-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000022-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000000000000−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521+52000000000000000
χ442222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-22-2-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-22-2−1+52−1−521−521+522-2-21−521+52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000-2-222221−521−521+521+521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+5200000000000001−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−52000000000000000
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χ1338-88-8-4−8i8i−2−25−2+254-442+252−25−2−25−2+252+252−25000000004i−4i1+51−54ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ594ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ471+5−1−51−5−1+5−1−5−1+5000000000000000000000−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-88-8-4−8i8i−2+25−2−254-442−252+25−2+25−2−252−252+25000000004i−4i1−51+54ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ591−5−1+51+5−1−5−1+5−1−5000000000000000000000−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88800−2−25−2+25-8-88−2−25−2+252+252−252+252−250000000000−2−25−2+2500002+25−2−252−25−2+252+252−2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8-88800−2+25−2−25-8-88−2+25−2−252−252+252−252+250000000000−2+25−2−2500002−25−2+252+25−2−252−252+2500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4008844-488-8-8-8-80000000000-4-400004-44-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-88-400−2−25−2+2544-4−2−25−2+252+252−252+252−2500000000001+51−50000−1−51+5−1+51−5−1−5−1+500000000000000000000000002ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-8-88-400−2−25−2+2544-4−2−25−2+252+252−252+252−2500000000001+51−50000−1−51+5−1+51−5−1−5−1+50000000000000000000000000−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ592ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ47000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-8-88-400−2+25−2−2544-4−2+25−2−252−252+252−252+2500000000001−51+50000−1+51−5−1−51+5−1+5−1−50000000000000000000000000−2ζ7−2ζ23+2ζ43+2ζ472ζ7+2ζ23−2ζ43−2ζ47−2ζ11−2ζ19+2ζ31+2ζ592ζ11+2ζ19−2ζ31−2ζ59000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-8-88-400−2+25−2−2544-4−2+25−2−252−252+252−252+2500000000001−51+50000−1+51−5−1−51+5−1+5−1−500000000000000000000000002ζ7+2ζ23−2ζ43−2ζ47−2ζ7−2ζ23+2ζ43+2ζ472ζ11+2ζ19−2ζ31−2ζ59−2ζ11−2ζ19+2ζ31+2ζ59000000000000000000000000000000000000000000000000000000000000000000000000

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