Finite Group Databasebeta

← Group #14417300

Character table — Group #14417300

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222444444444444444444446666888888888888888888888888888888101010101212121212121212121212121212161616161616161620202020202020202020242424242424242424242424303030303030303040404040404060606060
order122234455666101010101010444488121215152020202030303030303044441212121220202020202020202424404040406060606012012012012012012012012044444444882020202020202020606060606060606044448812121212202020202020202040404040224488881212121224242244
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
χ511111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ611111111111111111111-1-1-1-111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ711111111111111111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1
χ811111111111111111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-111
χ9111111111111111111-1-111-1-1111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1
χ10111111111111111111-1-111-1-1111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111
χ11111111111111111111-1-111-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ12111111111111111111-1-111-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1
χ13111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ14111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111
χ15111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ16111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ171-11-111-111-11-1-1-111-1-1i−i1-1i−i-1111-1-111-1-1-1-111i−ii−ii−i1-1ii−i−i11-1-1i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i1-1i−i1-1ii−i−iii−i−iii−i−i11-1-11-1i−i1-1i−ii−i11-1-1ii−i−i11-1-11-11-1ii−i−i1-1i−i1-11-1i−i
χ181-11-111-111-11-1-1-111-1-1i−i1-1i−i-1111-1-111-1-1-1-111i−ii−ii−i1-1ii−i−i11-1-1i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii1-1i−i1-1ii−i−iii−i−iii−i−i11-1-1-11−ii-11−ii−ii11-1-1ii−i−i11-1-1-11-11−i−iii-11−ii-11-11−ii
χ191-11-111-111-11-1-1-111-1-1i−i1-1i−i-1111-1-111-1-1-1-111−ii−iii−i1-1ii−i−i11-1-1i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i-11−ii-11−i−iii−i−iiiii−i−i11-1-11-1i−i1-1i−ii−i-1-111−i−iii-1-111-11-11−i−iii1-1i−i1-1-11−ii
χ201-11-111-111-11-1-1-111-1-1i−i1-1i−i-1111-1-111-1-1-1-111−ii−iii−i1-1ii−i−i11-1-1i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii-11−ii-11−i−iii−i−iiiii−i−i11-1-1-11−ii-11−ii−ii-1-111−i−iii-1-1111-11-1ii−i−i-11−ii-111-1i−i
χ211-11-111-111-11-1-1-111-1-1i−i-11−ii-1111-1-111-1-1-1-111i−ii−ii−i-11ii−i−i-1-111−ii−i−iii11-1-1−i−i−i−iiiiii−ii−i1-1−ii-11ii−i−iii−i−iii−i−i-1-1111-1−ii-11i−ii−i11-1-1−i−iii-1-1111-11-1−i−iii1-1−ii-11-11i−i
χ221-11-111-111-11-1-1-111-1-1i−i-11−ii-1111-1-111-1-1-1-111i−ii−ii−i-11ii−i−i-1-111−ii−i−iii11-1-1−i−i−i−iiiii−ii−ii1-1−ii-11ii−i−iii−i−iii−i−i-1-111-11i−i1-1−ii−ii11-1-1−i−iii-1-111-11-11ii−i−i-11i−i1-11-1−ii
χ231-11-111-111-11-1-1-111-1-1i−i-11−ii-1111-1-111-1-1-1-111−ii−iii−i-11ii−i−i-1-111−ii−i−iii11-1-1−i−i−i−iiiiii−ii−i-11i−i1-1−i−iii−i−iiiii−i−i-1-1111-1−ii-11i−ii−i-1-111ii−i−i11-1-1-11-11ii−i−i1-1−ii-111-1−ii
χ241-11-111-111-11-1-1-111-1-1i−i-11−ii-1111-1-111-1-1-1-111−ii−iii−i-11ii−i−i-1-111−ii−i−iii11-1-1−i−i−i−iiiii−ii−ii-11i−i1-1−i−iii−i−iiiii−i−i-1-111-11i−i1-1−ii−ii-1-111ii−i−i11-1-11-11-1−i−iii-11i−i1-1-11i−i
χ251-11-111-111-11-1-1-111-1-1−ii1-1−ii-1111-1-111-1-1-1-111i−ii−i−ii1-1−i−iii11-1-1−ii−i−iii11-1-1−i−i−i−iiiiii−ii−i-11i−i-11ii−i−iii−i−i−i−iii11-1-1-11i−i-11i−ii−i-1-111ii−i−i-1-1111-11-1−i−iii-11i−i-111-1−ii
χ261-11-111-111-11-1-1-111-1-1−ii1-1−ii-1111-1-111-1-1-1-111i−ii−i−ii1-1−i−iii11-1-1−ii−i−iii11-1-1−i−i−i−iiiii−ii−ii-11i−i-11ii−i−iii−i−i−i−iii11-1-11-1−ii1-1−ii−ii-1-111ii−i−i-1-111-11-11ii−i−i1-1−ii1-1-11i−i
χ271-11-111-111-11-1-1-111-1-1−ii1-1−ii-1111-1-111-1-1-1-111−ii−ii−ii1-1−i−iii11-1-1−ii−i−iii11-1-1−i−i−i−iiiiii−ii−i1-1−ii1-1−i−iii−i−iii−i−iii11-1-1-11i−i-11i−ii−i11-1-1−i−iii11-1-1-11-11ii−i−i-11i−i-11-11i−i
χ281-11-111-111-11-1-1-111-1-1−ii1-1−ii-1111-1-111-1-1-1-111−ii−ii−ii1-1−i−iii11-1-1−ii−i−iii11-1-1−i−i−i−iiiii−ii−ii1-1−ii1-1−i−iii−i−iii−i−iii11-1-11-1−ii1-1−ii−ii11-1-1−i−iii11-1-11-11-1−i−iii1-1−ii1-11-1−ii
χ291-11-111-111-11-1-1-111-1-1−ii-11i−i-1111-1-111-1-1-1-111i−ii−i−ii-11−i−iii-1-111i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i-11−ii1-1ii−i−iii−i−i−i−iii-1-111-11−ii1-1i−ii−i-1-111−i−iii11-1-11-11-1ii−i−i-11−ii1-1-11−ii
χ301-11-111-111-11-1-1-111-1-1−ii-11i−i-1111-1-111-1-1-1-111i−ii−i−ii-11−i−iii-1-111i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii-11−ii1-1ii−i−iii−i−i−i−iii-1-1111-1i−i-11−ii−ii-1-111−i−iii11-1-1-11-11−i−iii1-1i−i-111-1i−i
χ311-11-111-111-11-1-1-111-1-1−ii-11i−i-1111-1-111-1-1-1-111−ii−ii−ii-11−i−iii-1-111i−iii−i−i11-1-1iiii−i−i−i−ii−ii−i1-1i−i-11−i−iii−i−iii−i−iii-1-111-11−ii1-1i−ii−i11-1-1ii−i−i-1-111-11-11−i−iii-11−ii1-11-1i−i
χ321-11-111-111-11-1-1-111-1-1−ii-11i−i-1111-1-111-1-1-1-111−ii−ii−ii-11−i−iii-1-111i−iii−i−i11-1-1iiii−i−i−i−i−ii−ii1-1i−i-11−i−iii−i−iii−i−iii-1-1111-1i−i-11−ii−ii11-1-1ii−i−i-1-1111-11-1ii−i−i1-1i−i-11-11−ii
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+5222222222−1−52−1+52−1−52−1+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+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+52-2-2-2-22222−1−52−1+52−1−52−1+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+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+52222222-2-2−1−52−1+52−1−52−1+521+521−521+521−52-2-21+521−521+521−52−1−52−1+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+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+52-2-2-2-222-2-2−1−52−1+52−1−52−1+521+521−521+521−52-2-21+521−521+521−52−1−52−1+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+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2221+521−521+521−52−1−52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000-2-222-2-2−1−52−1+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+521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ382222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2221+521−521+521−52−1−52−1+52−1−52−1+52-2-21+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000022-2-2221+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+521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ392222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222-2-2-2-21+521−521+521−521+521−521+521−5222−1−52−1+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+520000-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000000000
χ402222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-21+521−521+521−521+521−521+521−5222−1−52−1+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+5200002222-2-21+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−52000000000000000000
χ412222222−1+52−1−52222−1+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+52−1−5222222222−1+52−1−52−1+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+52−1−52222−1+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+52−1−52-2-2-2-22222−1+52−1−52−1+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+52−1−52222−1+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+52−1−52222222-2-2−1+52−1−52−1+52−1−521−521+521−521+52-2-21−521+521−521+52−1+52−1−52−1+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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χ1388-8-88-400−2+25−2−2544-42−252+252−252+25−2+25−2−25000000001−51+500001−51+5−1+5−1−5−1+5−1−500000000000000000000000000ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103−ζ29+ζ31−ζ61−ζ71−ζ79+ζ101+ζ109+ζ119ζ29−ζ31+ζ61+ζ71+ζ79−ζ101−ζ109−ζ119−ζ7−ζ13−ζ23+ζ37+ζ47+ζ53−ζ77+ζ103ζ7+ζ13+ζ23−ζ37−ζ47−ζ53+ζ77−ζ103000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.