Finite Group Databasebeta

← Group #65844

Character table — Group #65844

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111222222222222222222222244444444444444444444444444442020202020202020
order1222224444551010101010101010101010101010444420202020202020202020202020202020202020202020202022224444
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ6111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ7111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ8111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-111-1
χ91111-1-111-1-11111-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-1-11
χ101111-1-111-1-11111-1-1-1-1-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111-1
χ111111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-11-1-11-1
χ121111-1-111-1-11111-1-1-1-1-1-1-1-11111-11-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-111-11
χ131111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-11-1-1
χ141111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-11-1-11-111
χ151111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1111
χ161111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11111-1-1-1
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+52−1−52-2-2-2-2−1+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+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+52-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000
χ21222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−5222-2-21−521−521+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+5200000000
χ22222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-2-2221−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000
χ23222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+5222-2-21+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+521−521−5200000000
χ24222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1+52−1−52−1+52-2-2221+521+521−521−521+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+5200000000
χ252222-2-222-2-2−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−522-22-2−1+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+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52-22-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+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+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52-22-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+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+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−522-2-221−521−521+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+52−1+52−1+52−1−52−1−5200000000
χ302222-2-2-2-222−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+522-2-221+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+521−521−52−1−52−1−52−1+52−1+5200000000
χ322222-2-2-2-222−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52-222-21+521+521−521−52−1−52−1−52−1+52−1+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
χ332-2-222-22-22-222-2-222-2-222-2-222-2-200002-22-22-22-2000000000000000000000000
χ342-2-222-22-22-2−1+52−1−521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−521−521+520000−1+521−52−1−521+52−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000
χ352-2-222-22-22-2−1+52−1−521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−521−521+520000−1+521−52−1−521+52−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000
χ362-2-222-22-22-2−1−52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+521+521−520000−1−521+52−1+521−52−1−521+52−1+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000
χ372-2-222-22-22-2−1−52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+521+521−520000−1−521+52−1+521−52−1−521+52−1+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000
χ382-2-222-2-22-2222-2-222-2-222-2-222-2-20000-22-22-22-22000000000000000000000000
χ392-2-222-2-22-22−1+52−1−521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−521−521+5200001−52−1+521+52−1−521−52−1+521+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000
χ402-2-222-2-22-22−1+52−1−521−521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1−521−521+5200001−52−1+521+52−1−521−52−1+521+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000
χ412-2-222-2-22-22−1−52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+521+521−5200001+52−1−521−52−1+521+52−1−521−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000
χ422-2-222-2-22-22−1−52−1+521+521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1+521+521−5200001+52−1−521−52−1+521+52−1−521−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000
χ432-2-22-222-2-2222-2-2-2-222-2-22222-2-200002-22-2-22-22000000000000000000000000
χ442-2-22-222-2-22−1+52−1−521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−521−521+520000−1+521−52−1−521+521−52−1+521+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000
χ452-2-22-222-2-22−1+52−1−521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−521−521+520000−1+521−52−1−521+521−52−1+521+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000
χ462-2-22-222-2-22−1−52−1+521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+521+521−520000−1−521+52−1+521−521+52−1−521−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000
χ472-2-22-222-2-22−1−52−1+521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+521+521−520000−1−521+52−1+521−521+52−1−521−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000
χ482-2-22-22-222-222-2-2-2-222-2-22222-2-20000-22-222-22-2000000000000000000000000
χ492-2-22-22-222-2−1+52−1−521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−521−521+5200001−52−1+521+52−1−52−1+521−52−1−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700000000
χ502-2-22-22-222-2−1+52−1−521−521+521−521−52−1+52−1+521+521+52−1−52−1−52−1+52−1−521−521+5200001−52−1+521+52−1−52−1+521−52−1−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700000000
χ512-2-22-22-222-2−1−52−1+521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+521+521−5200001+52−1−521−52−1+52−1−521+52−1+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900000000
χ522-2-22-22-222-2−1−52−1+521+521−521+521+52−1−52−1−521−521−52−1+52−1+52−1−52−1+521+521−5200001+52−1−521−52−1+52−1−521+52−1+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900000000
χ5344-4-4000000444400000000-4-4-4-4000000000000000000000000000000000000
χ5444-4-4000000−1+5−1−5−1+5−1−52ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ181−51+51−51+5000000000000000000000000000000000000
χ5544-4-4000000−1+5−1−5−1+5−1−5−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ181−51+51−51+5000000000000000000000000000000000000
χ5644-4-4000000−1−5−1+5−1−5−1+5−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ141+51−51+51−5000000000000000000000000000000000000
χ5744-4-4000000−1−5−1+5−1−5−1+52ζ2−2ζ18−2ζ2+2ζ182ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ6+2ζ141+51−51+51−5000000000000000000000000000000000000
χ584-44-400000044-4-400000000-4-444000000000000000000000000000000000000
χ594-44-4000000−1+5−1−51−51+52ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ14−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ181−51+5−1+5−1−5000000000000000000000000000000000000
χ604-44-4000000−1+5−1−51−51+5−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ142ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ181−51+5−1+5−1−5000000000000000000000000000000000000
χ614-44-4000000−1−5−1+51+51−5−2ζ2+2ζ182ζ2−2ζ182ζ2−2ζ18−2ζ2+2ζ18−2ζ6+2ζ142ζ6−2ζ142ζ6−2ζ14−2ζ6+2ζ141+51−5−1−5−1+5000000000000000000000000000000000000
χ624-44-4000000−1−5−1+51+51−52ζ2−2ζ18−2ζ2+2ζ18−2ζ2+2ζ182ζ2−2ζ182ζ6−2ζ14−2ζ6+2ζ14−2ζ6+2ζ142ζ6−2ζ141+51−5−1−5−1+5000000000000000000000000000000000000

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