Finite Group Databasebeta

← Group #14412924

Character table — Group #14412924

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222444444444444444444446666888888888888888888888888888888101010101212121212121212121212121212161616161616161620202020202020202020242424242424242424242424303030303030303040404040404060606060
order12442345561010121220202020244468810101215152020303060606060224461010121212202020202020242430304040404060606060606060606060224424448810101010202020203030606012012012012024446688121210102020202020204040404022444444612121224242488
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
χ511111111111111111111-1-11-1-1111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111-1-11-1-1111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111
χ711111111111111111111-1-11-1-11111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111
χ811111111111111111111-1-11-1-11111111111111-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1
χ9111111111111111111-1-1111-1-111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-1
χ10111111111111111111-1-1111-1-111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ11111111111111111111-1-1111-1-11111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111
χ12111111111111111111-1-1111-1-11111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111111111-1-111-1-1-1-1
χ13111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111
χ14111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ15111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1711-1-1-11111111-1-1-1-1-1-11-1i−i-1i−i-1-11111111-1-1-1-11-11-1111-1i−i-1-1ii−i−ii−i-1-1ii−i−i11iiii−i−i−i−i1-11-11-1i−ii−i11-1-111-1-111-1-1ii−i−i1-1i−i1-1i−i1-111-1-1ii−i−iii−i−i1-11-1ii−i−i1-1i−ii−i-11i−i
χ1811-1-1-11111111-1-1-1-1-1-11-1i−i-1i−i-1-11111111-1-1-1-11-11-1111-1i−i-1-1ii−i−ii−i-1-1ii−i−i11iiii−i−i−i−i-11-111-1i−ii−i11-1-111-1-111-1-1ii−i−i-11−ii-11−ii-1111-1-1ii−i−iii−i−i-11-11−i−iii-11−ii−ii1-1−ii
χ1911-1-1-11111111-1-1-1-1-1-11-1i−i-1i−i-1-11111111-1-1-1-1-11-11111-1i−i-1-1ii−i−ii−i-1-1ii−i−i11iiii−i−i−i−i1-11-1-11−ii−ii-1-111-1-11111-1-1ii−i−i1-1i−i1-1i−i1-1-1-111−i−iii−i−iii-11-11−i−iii1-1i−ii−i1-1−ii
χ2011-1-1-11111111-1-1-1-1-1-11-1i−i-1i−i-1-11111111-1-1-1-1-11-11111-1i−i-1-1ii−i−ii−i-1-1ii−i−i11iiii−i−i−i−i-11-11-11−ii−ii-1-111-1-11111-1-1ii−i−i-11−ii-11−ii-11-1-111−i−iii−i−iii1-11-1ii−i−i-11−ii−ii-11i−i
χ2111-1-1-11111111-1-1-1-1-1-11-1−ii-1−ii-1-11111111-1-1-1-11-11-1111-1−ii-1-1−i−iii−ii-1-1−i−iii11−i−i−i−iiiii1-11-11-1−ii−ii11-1-111-1-111-1-1−i−iii1-1−ii1-1−ii1-111-1-1−i−iii−i−iii1-11-1−i−iii1-1−ii−ii-11−ii
χ2211-1-1-11111111-1-1-1-1-1-11-1−ii-1−ii-1-11111111-1-1-1-11-11-1111-1−ii-1-1−i−iii−ii-1-1−i−iii11−i−i−i−iiiii-11-111-1−ii−ii11-1-111-1-111-1-1−i−iii-11i−i-11i−i-1111-1-1−i−iii−i−iii-11-11ii−i−i-11i−ii−i1-1i−i
χ2311-1-1-11111111-1-1-1-1-1-11-1−ii-1−ii-1-11111111-1-1-1-1-11-11111-1−ii-1-1−i−iii−ii-1-1−i−iii11−i−i−i−iiiii1-11-1-11i−ii−i-1-111-1-11111-1-1−i−iii1-1−ii1-1−ii1-1-1-111ii−i−iii−i−i-11-11ii−i−i1-1−ii−ii1-1i−i
χ2411-1-1-11111111-1-1-1-1-1-11-1−ii-1−ii-1-11111111-1-1-1-1-11-11111-1−ii-1-1−i−iii−ii-1-1−i−iii11−i−i−i−iiiii-11-11-11i−ii−i-1-111-1-11111-1-1−i−iii-11i−i-11i−i-11-1-111ii−i−iii−i−i1-11-1−i−iii-11i−ii−i-11−ii
χ2511-1-1-11111111-1-1-1-1-1-1-11i−i-1−ii-1-11111111-1-1-1-11-11-1-1-1-11i−i11ii−i−i−ii-1-1−i−iii11iiii−i−i−i−i1-11-1-11i−i−ii11-1-111-1-1-1-111−i−iii-11i−i1-1−ii1-1-1-111ii−i−i−i−iii1-11-1ii−i−i-11i−i−ii1-1−ii
χ2611-1-1-11111111-1-1-1-1-1-1-11i−i-1−ii-1-11111111-1-1-1-11-11-1-1-1-11i−i11ii−i−i−ii-1-1−i−iii11iiii−i−i−i−i-11-11-11i−i−ii11-1-111-1-1-1-111−i−iii1-1−ii-11i−i-11-1-111ii−i−i−i−iii-11-11−i−iii1-1−iii−i-11i−i
χ2711-1-1-11111111-1-1-1-1-1-1-11i−i-1−ii-1-11111111-1-1-1-1-11-11-1-1-11i−i11ii−i−i−ii-1-1−i−iii11iiii−i−i−i−i1-11-11-1−iii−i-1-111-1-111-1-111−i−iii-11i−i1-1−ii1-111-1-1−i−iiiii−i−i-11-11−i−iii-11i−i−ii-11i−i
χ2811-1-1-11111111-1-1-1-1-1-1-11i−i-1−ii-1-11111111-1-1-1-1-11-11-1-1-11i−i11ii−i−i−ii-1-1−i−iii11iiii−i−i−i−i-11-111-1−iii−i-1-111-1-111-1-111−i−iii1-1−ii-11i−i-1111-1-1−i−iiiii−i−i1-11-1ii−i−i1-1−iii−i1-1−ii
χ2911-1-1-11111111-1-1-1-1-1-1-11−ii-1i−i-1-11111111-1-1-1-11-11-1-1-1-11−ii11−i−iiii−i-1-1ii−i−i11−i−i−i−iiiii1-11-1-11−iii−i11-1-111-1-1-1-111ii−i−i-11−ii1-1i−i1-1-1-111−i−iiiii−i−i1-11-1−i−iii-11−iii−i1-1i−i
χ3011-1-1-11111111-1-1-1-1-1-1-11−ii-1i−i-1-11111111-1-1-1-11-11-1-1-1-11−ii11−i−iiii−i-1-1ii−i−i11−i−i−i−iiiii-11-11-11−iii−i11-1-111-1-1-1-111ii−i−i1-1i−i-11−ii-11-1-111−i−iiiii−i−i-11-11ii−i−i1-1i−i−ii-11−ii
χ3111-1-1-11111111-1-1-1-1-1-1-11−ii-1i−i-1-11111111-1-1-1-1-11-11-1-1-11−ii11−i−iiii−i-1-1ii−i−i11−i−i−i−iiiii1-11-11-1i−i−ii-1-111-1-111-1-111ii−i−i-11−ii1-1i−i1-111-1-1ii−i−i−i−iii-11-11ii−i−i-11−iii−i-11−ii
χ3211-1-1-11111111-1-1-1-1-1-1-11−ii-1i−i-1-11111111-1-1-1-1-11-11-1-1-11−ii11−i−iiii−i-1-1ii−i−i11−i−i−i−iiiii-11-111-1i−i−ii-1-111-1-111-1-111ii−i−i1-1i−i-11−ii-1111-1-1ii−i−i−i−iii1-11-1−i−iii1-1i−i−ii1-1i−i
χ332222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522222222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+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+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+522−1−52−1+5222−1−52−1−52−1+52−1+522222222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+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+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+522−1−52−1+5222−1−52−1−52−1+52−1+5222-2-22-2-2−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222−1−52−1+522-2-2−1−52−1+521+521−521+521−52-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−52000022-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−520000000000−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ362222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+5222-2-22-2-2−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-22−1−52−1+522-2-2−1−52−1+521+521−521+521−52-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521+521−521−521+521+521−521−520000-2-222221+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000001+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ372222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-2-2222-2-2−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-21+521−52-2221+521−52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000001+521−521+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ382222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-2-2222-2-2−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-21+521−52-2221+521−52−1−52−1+52−1−52−1+52-2-2−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022-2-2221+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ392222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222-21+521−52-2-2-21+521−521+521−521+521−5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1+5200000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ402222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-2-2-2-2222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-21+521−52-2-2-21+521−521+521−521+521−5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200002222-2-21+521−521+521−521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ412222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−520000222222−1+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+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522222222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-22−1+52−1−52222−1+52−1−52−1+52−1−52−1+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+52−1−52−1−520000-2-2-2-2-2-21−521+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+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−5222-2-22-2-2−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222−1+52−1−522-2-2−1+52−1−521−521+521−521+52-2-2−1+52−1−521−521+521−521+52−1+52−1−521−521−521+521+521−521−521+521+52000022-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+520000000000−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
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χ1388-8−8i8i0-40−2+25−2−2542−252+254i−4i4ζ7+4ζ23+4ζ43+4ζ47−4ζ7−4ζ23−4ζ43−4ζ474ζ11+4ζ19+4ζ31+4ζ59−4ζ11−4ζ19−4ζ31−4ζ5900000000001−51+500−1+5−1−5−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ5900000000000000000000000000ζ2−ζ7−ζ22−ζ23−ζ38+ζ43+ζ47+ζ58−ζ2+ζ7+ζ22+ζ23+ζ38−ζ43−ζ47−ζ58−ζ11+ζ14−ζ19−ζ26+ζ31−ζ34+ζ46+ζ59ζ11−ζ14+ζ19+ζ26−ζ31+ζ34−ζ46−ζ59ζ2+ζ7−ζ22+ζ23−ζ38−ζ43−ζ47+ζ58−ζ2−ζ7+ζ22−ζ23+ζ38+ζ43+ζ47−ζ58ζ11+ζ14+ζ19−ζ26−ζ31−ζ34+ζ46−ζ59−ζ11−ζ14−ζ19+ζ26+ζ31+ζ34−ζ46+ζ59000000000000000000000000000000000000000000000000000000000000000000

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