Finite Group Databasebeta

← Group #4151

Character table — Group #4151

Order 160.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1122225511222255112222551122225511222255112222551122225511222255
order1255101044221010101044221010101044221010101044221010101044221010101044221010101044221010101044
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1111111-1-1
χ31-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i
χ41-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii
χ522−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200
χ622−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200
χ72-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200
χ82-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ111-111-1-1i−i-11-1-111−ii1-111-1-1i−i-11-1-111−ii1-111-1-1i−i-11-1-111−ii1-111-1-1i−i-11-1-111−ii
χ121-111-1-1−ii-11-1-111i−i1-111-1-1−ii-11-1-111i−i1-111-1-1−ii-11-1-111i−i1-111-1-1−ii-11-1-111i−i
χ1322−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200
χ1422−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200
χ152-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200
χ162-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ191-111-1-1i−i1-111-1-1i−i-11-1-111−ii-11-1-111−ii1-111-1-1i−i1-111-1-1i−i-11-1-111−ii-11-1-111−ii
χ201-111-1-1−ii1-111-1-1−ii-11-1-111i−i-11-1-111i−i1-111-1-1−ii1-111-1-1−ii-11-1-111i−i-11-1-111i−i
χ2122−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+5200
χ2222−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−5200
χ232-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−5200
χ242-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ26111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ271-111-1-1i−i-11-1-111−ii-11-1-111−ii1-111-1-1i−i1-111-1-1i−i-11-1-111−ii-11-1-111−ii1-111-1-1i−i
χ281-111-1-1−ii-11-1-111i−i-11-1-111i−i1-111-1-1−ii1-111-1-1−ii-11-1-111i−i-11-1-111i−i1-111-1-1−ii
χ2922−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200
χ3022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200
χ312-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200
χ322-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111-1-1111111-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111
χ351-111-1-1i−i1-111-1-1i−i1-111-1-1i−i1-111-1-1i−i-11-1-111−ii-11-1-111−ii-11-1-111−ii-11-1-111−ii
χ361-111-1-1−ii1-111-1-1−ii1-111-1-1−ii1-111-1-1−ii-11-1-111i−i-11-1-111i−i-11-1-111i−i-11-1-111i−i
χ3722−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+5200-2-21−521+521−521+5200-2-21−521+521−521+5200
χ3822−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−5200-2-21+521−521+521−5200-2-21+521−521+521−5200
χ392-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−5200
χ402-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200
χ4111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ42111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ431-111-1-1i−i-11-1-111−ii1-111-1-1i−i-11-1-111−ii-11-1-111−ii1-111-1-1i−i-11-1-111−ii1-111-1-1i−i
χ441-111-1-1−ii-11-1-111i−i1-111-1-1−ii-11-1-111i−i-11-1-111i−i1-111-1-1−ii-11-1-111i−i1-111-1-1−ii
χ4522−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200
χ4622−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200
χ472-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200
χ482-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200
χ491111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ50111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1111111-1-1
χ511-111-1-1i−i1-111-1-1i−i-11-1-111−ii-11-1-111−ii-11-1-111−ii-11-1-111−ii1-111-1-1i−i1-111-1-1i−i
χ521-111-1-1−ii1-111-1-1−ii-11-1-111i−i-11-1-111i−i-11-1-111i−i-11-1-111i−i1-111-1-1−ii1-111-1-1−ii
χ5322−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+5200-2-21−521+521−521+5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200
χ5422−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−5200-2-21+521−521+521−5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200
χ552-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200
χ562-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200
χ5711111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ58111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111
χ591-111-1-1i−i-11-1-111−ii-11-1-111−ii1-111-1-1i−i-11-1-111−ii1-111-1-1i−i1-111-1-1i−i-11-1-111−ii
χ601-111-1-1−ii-11-1-111i−i-11-1-111i−i1-111-1-1−ii-11-1-111i−i1-111-1-1−ii1-111-1-1−ii-11-1-111i−i
χ6122−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+520022−1+52−1−52−1+52−1−520022−1+52−1−52−1+52−1−5200-2-21−521+521−521+5200
χ6222−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−520022−1−52−1+52−1−52−1+520022−1−52−1+52−1−52−1+5200-2-21+521−521+521−5200
χ632-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−52002-2−1+52−1−521−521+52002-2−1+52−1−521−521+5200-221−521+52−1+52−1−5200
χ642-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+52002-2−1−52−1+521+521−52002-2−1−52−1+521+521−5200-221+521−52−1−52−1+5200

Here i is the imaginary unit (i² = −1).