Finite Group Databasebeta

← Group #14411985

Character table — Group #14411985

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147
size1122222222222222222224444444444444444444444444444444444444488888888888888888888888888888888888812121212121212122020202020202020242424242424242424242424242424243030303030303030404040404040404060606060
order12222222235566610101010101044446666661010101010101010101010101515303030303030303030303030303012121212202020202020202030303030303030306060606060606060606060606060606022444444224444441010101020202020202020202020202022224444661212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ8111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ911111-1-1-1-1111111-1-1-1-111ii−i−i11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−i11-1-1ii−i−i11-1-111-1-1iiii−i−i−i−i11-1-111-1-111-1-1ii−i−iii−i−i
χ1011111-1-1-1-1111111-1-1-1-111ii−i−i11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−i-1-111−i−iii11-1-111-1-1iiii−i−i−i−i-1-111-1-111-1-111−i−iii−i−iii
χ1111111-1-1-1-1111111-1-1-1-111ii−i−i11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iii11-1-1ii−i−i-1-111-1-111−i−i−i−iiiii-1-111-1-11111-1-1ii−i−i−i−iii
χ1211111-1-1-1-1111111-1-1-1-111ii−i−i11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iii-1-111−i−iii-1-111-1-111−i−i−i−iiiii11-1-111-1-1-1-111−i−iiiii−i−i
χ1311111-1-1-1-1111111-1-1-1-111−i−iii11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii11-1-1−i−iii11-1-111-1-1−i−i−i−iiiii11-1-111-1-111-1-1−i−iii−i−iii
χ1411111-1-1-1-1111111-1-1-1-111−i−iii11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii-1-111ii−i−i11-1-111-1-1−i−i−i−iiiii-1-111-1-111-1-111ii−i−iii−i−i
χ1511111-1-1-1-1111111-1-1-1-111−i−iii11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−i11-1-1−i−iii-1-111-1-111iiii−i−i−i−i-1-111-1-11111-1-1−i−iiiii−i−i
χ1611111-1-1-1-1111111-1-1-1-111−i−iii11-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−i-1-111ii−i−i-1-111-1-111iiii−i−i−i−i11-1-111-1-1-1-111ii−i−i−i−iii
χ17111-1-111-1-1111-1-11111111i−ii−i1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−ii−i1-11-1i−ii−i1111-1-1-1-1ii−i−iii−i−i11-1-1-1-1111-11-1i−ii−ii−ii−i
χ18111-1-111-1-1111-1-11111111i−ii−i1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1i−ii−i-11-11−ii−ii1111-1-1-1-1ii−i−iii−i−i-1-11111-1-1-11-11−ii−ii−ii−ii
χ19111-1-111-1-1111-1-11111111i−ii−i1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−ii−ii1-11-1i−ii−i-1-1-1-11111−i−iii−i−iii-1-11111-1-11-11-1i−ii−i−ii−ii
χ20111-1-111-1-1111-1-11111111i−ii−i1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111−ii−ii-11-11−ii−ii-1-1-1-11111−i−iii−i−iii11-1-1-1-111-11-11−ii−iii−ii−i
χ21111-1-111-1-1111-1-11111111−ii−ii1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−ii1-11-1−ii−ii1111-1-1-1-1−i−iii−i−iii11-1-1-1-1111-11-1−ii−ii−ii−ii
χ22111-1-111-1-1111-1-11111111−ii−ii1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−ii−ii-11-11i−ii−i1111-1-1-1-1−i−iii−i−iii-1-11111-1-1-11-11i−ii−ii−ii−i
χ23111-1-111-1-1111-1-11111111−ii−ii1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111i−ii−i1-11-1−ii−ii-1-1-1-11111ii−i−iii−i−i-1-11111-1-11-11-1−ii−iii−ii−i
χ24111-1-111-1-1111-1-11111111−ii−ii1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111i−ii−i-11-11i−ii−i-1-1-1-11111ii−i−iii−i−i11-1-1-1-111-11-11i−ii−i−ii−ii
χ25111-1-1-1-111111-1-11-1-1-1-1111-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-111-1-111-1-11
χ26111-1-1-1-111111-1-11-1-1-1-1111-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-111-1-11-111-1-111-111-1-1-1-11111-1-1-1-111-1-1-1-11111-111-1-111-1-111-1
χ27111-1-1-1-111111-1-11-1-1-1-1111-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-11-1-111-1-11-1-11111-1-1-1-11111-1-1-1-1-1-111111-1-111-1-11-111-1
χ28111-1-1-1-111111-1-11-1-1-1-1111-1-111-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-111-1-111-11-1-11
χ29111-1-1-1-111111-1-11-1-1-1-111-111-11-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-111-11-1-11-111-111-1-1-1-111-1-11111-1-11111-1-1-1-11-1-11-111-1-111-1
χ30111-1-1-1-111111-1-11-1-1-1-111-111-11-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-11-111-1-111-11-1-1111-1-1-1-111-1-11111-1-1-1-1-1-11111-111-11-1-111-1-11
χ31111-1-1-1-111111-1-11-1-1-1-111-111-11-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11-1-111-1-11-111-1-1-11111-1-111-1-1-1-111-1-1-1-111111-1-11-111-11-1-11
χ32111-1-1-1-111111-1-11-1-1-1-111-111-11-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-111-11-1-11-111-11-1-11-1-11111-1-111-1-1-1-1111111-1-1-1-1-111-11-1-11-111-1
χ332222222222−1−52−1+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+52−1−52−1+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+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222222200000000−1−52−1+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+5200000000000000000000
χ342222222222−1−52−1+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+52−1−52−1+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+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−5200000000000000000000
χ352222222222−1−52−1+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+52−1−52−1+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+52-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−522222-2-2-2-200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−5200000000000000000000
χ362222222222−1−52−1+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+52−1−52−1+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+52-2-2-2-21+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52-2-2-2-22222000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ372222222222−1+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+52−1−52−1+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+52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222222200000000−1+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+52−1−5200000000000000000000
χ382222222222−1+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+52−1−52−1+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+52−1−52−1−522222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+5200000000000000000000
χ392222222222−1+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+52−1−52−1+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+52−1−52−1−52-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+522222-2-2-2-200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+5200000000000000000000
χ402222222222−1+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+52−1−52−1+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+52−1−52−1−52-2-2-2-21−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52-2-2-2-22222000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000000000000000
χ41222222222-122-1-1-12222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222000000000000000000000000-1-1-1-1-1-1-1-10000
χ42222222222-122-1-1-12222222222-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000000000000000111111110000
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χ1458-80000000-4−2+25−2−25−4i34i34−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+2500000000000000000000001−51+5−1+5−1−52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1468-80000000-4−2+25−2−254i3−4i344ζ2+4ζ22−4ζ38−4ζ58−4ζ2−4ζ22+4ζ38+4ζ584ζ14−4ζ26+4ζ34−4ζ46−4ζ14+4ζ26−4ζ34+4ζ462−252+2500000000000000000000001−51+5−1+5−1−5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2−2ζ22+2ζ38+2ζ582ζ2+2ζ22−2ζ38−2ζ58−2ζ14+2ζ26−2ζ34+2ζ462ζ14−2ζ26+2ζ34−2ζ462ζ2−2ζ22−2ζ38+2ζ58−2ζ2+2ζ22+2ζ38−2ζ582ζ14−2ζ26−2ζ34+2ζ46−2ζ14+2ζ26+2ζ34−2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-80000000-4−2+25−2−254i3−4i34−4ζ2−4ζ22+4ζ38+4ζ584ζ2+4ζ22−4ζ38−4ζ58−4ζ14+4ζ26−4ζ34+4ζ464ζ14−4ζ26+4ζ34−4ζ462−252+2500000000000000000000001−51+5−1+5−1−5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ462ζ2+2ζ22−2ζ38−2ζ58−2ζ2−2ζ22+2ζ38+2ζ582ζ14−2ζ26+2ζ34−2ζ46−2ζ14+2ζ26−2ζ34+2ζ46−2ζ2+2ζ22+2ζ38−2ζ582ζ2−2ζ22−2ζ38+2ζ58−2ζ14+2ζ26+2ζ34−2ζ462ζ14−2ζ26−2ζ34+2ζ460000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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