Finite Group Databasebeta

← Group #14495135

Character table — Group #14495135

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222444444444444444444446666888888888888888888888888888888101010101212121212121212121212121212161616161616161620202020202020202020242424242424242424242424303030303030303040404040404060606060
order1222344556661010101010102444441212151520202020303030303030444461010121212121220202020202020202020303030306060606060606060444422444420202020202020206060606060606060224444121212121010101020202020202020204444444466121212122244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-111111111111111111-11-1-1-111111111-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-1-1-111-1-1111111111-1-1-11-1-1-1-1-1
χ611111111111111111111-1-1-1-1111111111111111111111-1-11-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-11-11-1-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-111111
χ711111111111111111111-1-1-1-111111111111111-1-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-11111111111111111-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-11-1-1-11-11111
χ811111111111111111111-1-1-1-111111111111111-1-1-1-1111-1-11-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1111111-1-11111111111-1111-11-1-1-1-1
χ9111111111111111111-1-11-11-1111111111111111111-1-1-11-1-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-1-111111111111-1-111-1-1-11-1-1-111111-1-11111-1-1-1-1-1-111-1-111-1-1-111-1-1-11-11-1
χ10111111111111111111-1-11-11-1111111111111111111-1-1-11-1-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-111111111111-1-111-1-11-1111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1111-11-11
χ11111111111111111111-1-11-11-111111111111111-1-1-1-1-1-1-11-1-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-1111-1-1-1-1-1-1-1-1-111-1-111-1-1-11-1-1-11111111-1-1-1-1111111-1-111-1-111-111-1-1-1-11-11
χ12111111111111111111-1-11-11-111111111111111-1-1-1-1-1-1-11-1-11-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-111-1-111-1-11-1111-1-1-1-1-111-1-1-1-111111111-1-111-1-11-1-11111-11-1
χ13111111111111111111-1-1-11-11111111111111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-111-111111111-1-111-1-111-1-1-111-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-11-11-11-11
χ14111111111111111111-1-1-11-11111111111111111111-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111111111-1-111-1-111111-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111111-11-11-11-1
χ15111111111111111111-1-1-11-1111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-11111111111-1-111-1-1-1-111-1-111-1-1-11-111-11-1
χ16111111111111111111-1-1-11-1111111111111111-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-111-1-111111-1-11-1-1-1-1111111-1-111-1-111-1-111-1-1111-11-1-11-11
χ1711111-1-1111111111111-11-1-11-1-111-1-1-1-111111111-1-1111-11-11-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1-1-11111-1-11111-1-11-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-11-111-1-1-111-1
χ1811111-1-1111111111111-11-1-11-1-111-1-1-1-111111111-1-1111-11-11-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-11111-1-11111-1-1-1111-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-1111-1-11
χ1911111-1-1111111111111-11-1-11-1-111-1-1-1-1111111-1-111111-11-11-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-11111-1-1-1-1-1-11111-1-11-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-11-1-11
χ2011111-1-1111111111111-11-1-11-1-111-1-1-1-1111111-1-111111-11-11-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1111-1-11111-1-1-1-1-1-11111-1-1-1111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-1-111-111-1
χ2111111-1-1111111111111-1-111-1-1-111-1-1-1-111111111-1-11111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-111-1-1-111-1-11
χ2211111-1-1111111111111-1-111-1-1-111-1-1-1-111111111-1-11111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1-1-1-111-1-11-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1111-1-111-1
χ2311111-1-1111111111111-1-111-1-1-111-1-1-1-1111111-1-1111111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11-1111111-1-1-1-111-1-1-1-11111-11-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-11-111-1
χ2411111-1-1111111111111-1-111-1-1-111-1-1-1-1111111-1-1111111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11-1111111-1-1-1-111-1-1-1-111-1-11-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111-11-1-11
χ2511111-1-111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-1-1-1-11111-1-1-1-11111-1-111-11-1-111-1-1-1-111-1-1111111-1-1-1-111-1-11-111-1-111
χ2611111-1-111111111111-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-111-11-1-1-1-11111-1-1-1-1111111-1-11-111-1-1-1-1-1-111-1-11111-1-11111-1-111-11-1-111-1-1
χ2711111-1-111111111111-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-11-11111-1-1-1-1-1-1-1-11111-1-111-11-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11-11111-1-1
χ2811111-1-111111111111-1111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-11-11111-1-1-1-1-1-1-1-1111111-1-11-111-1-11111-1-111-1-1-1-111-1-1-1-11111-11-1-1-1-111
χ2911111-1-111111111111-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-11-1-1-1-1-111111111-1-1-1-1-111-11-1-1-111-1-111-1-11111-1-111-1-1-1-111-11-111-111-1-1
χ3011111-1-111111111111-11-1-111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-111-11-1-1-1-1-111111111-1-1-1-11-1-11-1111-1-1-1-111-1-11111-1-1-1-11111-1-11-11-1-11-1-111
χ3111111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11-111111-1-1-1-11111-1-1-1-1-111-11-1-1-11111-1-111-1-1-1-111-1-11111-1-1-11-111-1-1-111
χ3211111-1-111111111111-11-1-111-1-111-1-1-1-1111111-1-111-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-11-111111-1-1-1-11111-1-1-1-11-1-11-1111-1-111-1-111-1-1-1-11111-1-1-1-1111-11-1-1111-1-1
χ332222222−1−52−1+52222−1−52−1+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+5222222−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ342222222−1−52−1+52222−1−52−1+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+52-2-2-2-22−1−52−1+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000001+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ352222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1+52-2-22-2-21+521−521+521−52−1−52−1+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+5200002-22-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000−1−52−1+521+521−521+521−521+521−52−1−52−1+521+521−52000000000000000000
χ362222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22−1−52−1+52-2-22-2-21+521−521+521−52−1−52−1+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+520000-22-22221+521+521−521−521+521+521−521−521+521−521+521−521+521−521+521−5200000000001+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+52000000000000000000
χ372222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-22-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-21+521−522-2-22-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000-22-2-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000000001+521−52−1−52−1+52−1−52−1+521+521−521+521−521+521−52000000000000000000
χ382222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-22-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-21+521−522-2-22-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-2222-21+521+521−521−521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ392222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-21+521−52-22-2-221+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000-2-2-222-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−52−1−52−1+521+521−52−1−52−1+5200000000001+521−521+521−521+521−52−1−52−1+521+521−52−1−52−1+52000000000000000000
χ402222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-22-2222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-21+521−52-22-2-221+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000222-2-221+521+521−521−521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000−1−52−1+52−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−52000000000000000000
χ412222222−1+52−1−52222−1+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+52−1−5222222−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ422222222−1+52−1−52222−1+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+52−1−52-2-2-2-22−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000001−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ432222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1−52-2-22-2-21−521+521−521+52−1+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+52−1−52−1−5200002-22-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000−1+52−1−521−521+521−521+521−521+52−1+52−1−521−521+52000000000000000000
χ442222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-22−1+52−1−52-2-22-2-21−521+521−521+52−1+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+52−1−52−1−520000-22-22221−521−521+521+521−521−521+521+521−521+521−521+521−521+521−521+5200000000001−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521+52−1+52−1−52000000000000000000
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χ1358-8-88-400−2−25−2+25-444−2−25−2+252+252−252+252−25000000001+51−500001+51−5−1−5−1+5−1−5−1+500000000000000000000002ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8-88-400−2−25−2+25-444−2−25−2+252+252−252+252−25000000001+51−500001+51−5−1−5−1+5−1−5−1+50000000000000000000000−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ5800000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-400−2+25−2−25-444−2+25−2−252−252+252−252+25000000001−51+500001−51+5−1+5−1−5−1+5−1−50000000000000000000000−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-88-400−2+25−2−25-444−2+25−2−252−252+252−252+25000000001−51+500001−51+5−1+5−1−5−1+5−1−500000000000000000000002ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ4600000000000000000000000000000000000000000000000000000000000000000000000000

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