Finite Group Databasebeta

← Group #14322621

Character table — Group #14322621

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888888888888888812121212121212121212121212121212121212121212121220202020202020202020202020202020242424242424242430303030303030304040404060606060
order122222222222355666666610101010101010101010101010104444666610101010101010101515303030303030303030303030303012121212202020202020202030303030303030306060606060606060606060606060606044444444202020202020202020202020202020202222444466666666202020202020202044444444121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ911111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ1011111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ1111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1211111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1311111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ1411111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1511111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1611111111-1-1-1-1111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ1711-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111i−ii−i11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-11111-1-1-1-11111-1-1-1-11-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1i−ii−ii−ii−i
χ1811-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111i−ii−i11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11-11111-1-1-1-11111-1-1-1-1-11-11−ii−ii-1-111-1-111ii−i−iii−i−i-1-111-1-111−ii−ii−ii−ii
χ1911-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111i−ii−i11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-11-1-1-1-11111-1-1-1-111111-11-1i−ii−i11-1-111-1-1−i−iii−i−iii-1-111-1-111i−ii−i−ii−ii
χ2011-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111i−ii−i11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-11-1-1-1-11111-1-1-1-11111-11-11−ii−ii-1-111-1-111−i−iii−i−iii11-1-111-1-1−ii−iii−ii−i
χ2111-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111−ii−ii11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-11-1-1-1-11111-1-1-1-111111-11-1−ii−ii11-1-111-1-1ii−i−iii−i−i-1-111-1-111−ii−iii−ii−i
χ2211-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111−ii−ii11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-11-1-1-1-11111-1-1-1-11111-11-11i−ii−i-1-111-1-111ii−i−iii−i−i11-1-111-1-1i−ii−i−ii−ii
χ2311-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111−ii−ii11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-11111-1-1-1-11111-1-1-1-11-11-1−ii−ii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−ii−ii−ii−ii
χ2411-1-11-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111−ii−ii11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11-11111-1-1-1-11111-1-1-1-1-11-11i−ii−i-1-111-1-111−i−iii−i−iii-1-111-1-111i−ii−ii−ii−i
χ2511-1-11-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111i−i−ii-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-111111-1-1-1-1-1-1-1-111111-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111i−i−iii−i−ii
χ2611-1-11-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111i−i−ii-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiii−i−ii1-1-111111-1-1-1-1-1-1-1-11111-111-1−iii−i-1-11111-1-1ii−i−i−i−iii-1-11111-1-1−iii−i−iii−i
χ2711-1-11-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111i−i−ii-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1-1-1-1-111111111-1-1-1-11-1-11i−i−ii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1i−i−ii−iii−i
χ2811-1-11-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111i−i−ii-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−iii−i-111-1-1-1-1-111111111-1-1-1-1-111-1−iii−i-1-11111-1-1−i−iiiii−i−i11-1-1-1-111−iii−ii−i−ii
χ2911-1-11-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111−iii−i-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1-1-1-1-111111111-1-1-1-11-1-11−iii−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1−iii−ii−i−ii
χ3011-1-11-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111−iii−i-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii-111-1-1-1-1-111111111-1-1-1-1-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii11-1-1-1-111i−i−ii−iii−i
χ3111-1-11-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111−iii−i-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-111111-1-1-1-1-1-1-1-111111-1-11−iii−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111−iii−i−iii−i
χ3211-1-11-1-11-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111−iii−i-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−iii−i1-1-111111-1-1-1-1-1-1-1-11111-111-1i−i−ii-1-11111-1-1−i−iiiii−i−i-1-11111-1-1i−i−iii−i−ii
χ332222222222222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1+52−1−52−1−52−1−52−1+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+5222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ342222222222222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1+52−1−52−1−52−1−52−1+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+52-2-2-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000000000001+521−521+521−521+521−521+521−520000000000000000
χ352222222222222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1+52−1−52−1−52−1−52−1+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+521−521−522222-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ362222222222222−1−52−1+522222222−1−52−1−52−1+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+52−1−52−1+52−1−52−1−52−1−52−1+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+521−521−52-2-2-2-22222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000001+521−521+521−521+521−521+521−520000000000000000
χ372222222222222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−5222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ382222222222222−1+52−1−522222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1−52−1+52−1+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+52−1−52−1−52-2-2-2-2-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000000000001−521+521−521+521−521+521−521+520000000000000000
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χ1604-4-44-44-440000-24422-22-2-22-44-444-44-4-44-44-4-40000000000000000-2-222-222-2-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ1618-88-888-8-80000-4−2−25−2+254-44-44-442+252+252−252−25−2−252+25−2+252−25−2−252+25−2+252−25−2−25−2+2500000000000000001+51−5−1−51+5−1−5−1+51−5−1+51+5−1−51−5−1+51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-88-888-8-80000-4−2+25−2−254-44-44-442−252−252+252+25−2+252−25−2−252+25−2+252−25−2−252+25−2+25−2−2500000000000000001−51+5−1+51−5−1+5−1−51+5−1−51−5−1+51+5−1−51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1638-88-8-8-8880000-4−2−25−2+2544-4-444-42+25−2−252−25−2+252+25−2−252−25−2+25−2−252+25−2+252−252+252−2500000000000000001+51−5−1−5−1−51+5−1+5−1+51−5−1−51+5−1+51−51+5−1−51−5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1648-88-8-8-8880000-4−2+25−2−2544-4-444-42−25−2+252+25−2−252−25−2+252+25−2−25−2+252−25−2−252+252−252+2500000000000000001−51+5−1+5−1+51−5−1−5−1−51+5−1+51−5−1−51+51−5−1+51+5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1658-8-888-88-80000-4−2−25−2+254-444-44-42+252+252−252−252+25−2−252−25−2+252+25−2−252−25−2+25−2−25−2+2500000000000000001+51−5−1−51+5−1−5−1+51−5−1+5−1−51+5−1+51−5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1668-8-888-88-80000-4−2+25−2−254-444-44-42−252−252+252+252−25−2+252+25−2−252−25−2+252+25−2−25−2+25−2−2500000000000000001−51+5−1+51−5−1+5−1−51+5−1−5−1+51−5−1−51+5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1678-8-88-88-880000-4−2−25−2+2544-44-4-442+25−2−252−25−2+25−2−252+25−2+252−252+25−2−252−25−2+252+252−2500000000000000001+51−5−1−5−1−51+5−1+5−1+51−51+5−1−51−5−1+5−1−51+5−1+51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1688-8-88-88-880000-4−2+25−2−2544-44-4-442−25−2+252+25−2−25−2+252−25−2−252+252−25−2+252+25−2−252−252+2500000000000000001−51+5−1+5−1+51−5−1−5−1−51+51−5−1+51+5−1−5−1+51−5−1−51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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