Finite Group Databasebeta

← Group #65852

Character table — Group #65852

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222222222222244444444444444444444444444442020202020202020
order1222444444551010101010102020202020202020244410101010202020202020202020202020202020202020202044444444
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-1
χ6111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-11-11
χ7111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ8111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-111-1
χ91111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11-111-1
χ101111-1-111-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-11-1-11
χ111111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1-11-11
χ121111-1-111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-11-111-11-1
χ131111-1-1-1-11111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111-1-1-1-11111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ151111-1-1-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ161111-1-1-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ172222222222−1+52−1−52−1+52−1+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+52−1−52−1−5200000000
χ182222222222−1+52−1−52−1+52−1+52−1+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+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+5200000000
χ192222222222−1−52−1+52−1−52−1−52−1−52−1+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+5200000000
χ202222222222−1−52−1+52−1−52−1−52−1−52−1+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+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−5200000000
χ21222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000
χ22222222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ23222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000
χ24222222-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000
χ252222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000
χ262222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-221−521−521+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+52−1+52−1+52−1−52−1−5200000000
χ272222-2-222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000
χ282222-2-222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-221+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+521−521−52−1−52−1−52−1+52−1+5200000000
χ292222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000
χ302222-2-2-2-222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-222-21−521−521+521+521−521−521+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+5200000000
χ312222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000
χ322222-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-222-21+521+521−521−521+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+521−521−5200000000
χ332-2-222i−2i2i−2i2-2222-2-22-2-222-2-222-2-2000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ342-2-222i−2i2i−2i2-2−1+52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000
χ352-2-222i−2i2i−2i2-2−1+52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000
χ362-2-222i−2i2i−2i2-2−1−52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000
χ372-2-222i−2i2i−2i2-2−1−52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000
χ382-2-222i−2i−2i2i-22222-2-22-2-2-2-222-2-222000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ392-2-222i−2i−2i2i-22−1+52−1−52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000
χ402-2-222i−2i−2i2i-22−1+52−1−52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000
χ412-2-222i−2i−2i2i-22−1−52−1+52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000
χ422-2-222i−2i−2i2i-22−1−52−1+52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000
χ432-2-22−2i2i2i−2i-22222-2-22-2-2-2-222-2-22200000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ442-2-22−2i2i2i−2i-22−1+52−1−52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000
χ452-2-22−2i2i2i−2i-22−1+52−1−52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000
χ462-2-22−2i2i2i−2i-22−1−52−1+52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000
χ472-2-22−2i2i2i−2i-22−1−52−1+52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000
χ482-2-22−2i2i−2i2i2-2222-2-22-2-222-2-222-2-200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ492-2-22−2i2i−2i2i2-2−1+52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ18ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ6−ζ14−ζ6+ζ14−ζ2+ζ18ζ2−ζ1800000000
χ502-2-22−2i2i−2i2i2-2−1+52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ18ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ6+ζ14ζ6−ζ14ζ2−ζ18−ζ2+ζ1800000000
χ512-2-22−2i2i−2i2i2-2−1−52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ14ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ2+ζ18ζ2−ζ18−ζ6+ζ14ζ6−ζ1400000000
χ522-2-22−2i2i−2i2i2-2−1−52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ14ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ2−ζ18−ζ2+ζ18ζ6−ζ14−ζ6+ζ1400000000
χ5344-4-400000044-44-4-44-400000000000000000000000000000000000000000000
χ5444-4-4000000−1+5−1−51−5−1+51−51+5−1−51+5−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000
χ5544-4-4000000−1+5−1−51−5−1+51−51+5−1−51+52ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000
χ5644-4-4000000−1−5−1+51+5−1−51+51−5−1+51−52ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000
χ5744-4-4000000−1−5−1+51+5−1−51+51−5−1+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000
χ584-44-400000044-4-44-4-4400000000000000000000000000000000000000000000
χ594-44-4000000−1+5−1−51−51−5−1+51+51+5−1−5−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ192ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000000000000000
χ604-44-4000000−1+5−1−51−51−5−1+51+51+5−1−52ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000000000000000
χ614-44-4000000−1−5−1+51+51+5−1−51−51−5−1+52ζ3−2ζ7−2ζ3+2ζ7−2ζ3+2ζ72ζ3−2ζ72ζ11−2ζ19−2ζ11+2ζ19−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000000000000000
χ624-44-4000000−1−5−1+51+51+5−1−51−51−5−1+5−2ζ3+2ζ72ζ3−2ζ72ζ3−2ζ7−2ζ3+2ζ7−2ζ11+2ζ192ζ11−2ζ192ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.