Finite Group Databasebeta

← Group #65871

Character table — Group #65871

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size112222222221010112222222221010224444444442020224444444442020224444444442020
order1245510102020202044224101010102020202044224101010102020202044224101010102020202044444202020202020202044
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-111111111111-1-111111111111-1-111111111111-1-111111111111-1-1
χ311-11111-1-1-1-11-111-11111-1-1-1-11-111-11111-1-1-1-11-111-11111-1-1-1-11-111-11111-1-1-1-11-1
χ411-11111-1-1-1-1-1111-11111-1-1-1-1-1111-11111-1-1-1-1-1111-11111-1-1-1-1-1111-11111-1-1-1-1-11
χ5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200
χ6222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200
χ722-2−1+52−1−52−1+52−1−521−521−521+521+520022-2−1+52−1−52−1+52−1−521−521−521+521+520022-2−1+52−1−52−1+52−1−521−521−521+521+520022-2−1+52−1−52−1+52−1−521−521−521+521+520022-2−1+52−1−52−1+52−1−521−521−521+521+5200
χ822-2−1−52−1+52−1−52−1+521+521+521−521−520022-2−1−52−1+52−1−52−1+521+521+521−521−520022-2−1−52−1+52−1−52−1+521+521+521−521−520022-2−1−52−1+52−1−52−1+521+521+521−521−520022-2−1−52−1+52−1−52−1+521+521+521−521−5200
χ92-2022-2-20000002-2022-2-20000002-2022-2-20000002-2022-2-20000002-2022-2-2000000
χ102-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7002-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7002-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7002-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7002-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700
χ112-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7002-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7002-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7002-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7002-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700
χ122-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19002-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19002-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19002-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19002-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900
χ132-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19002-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19002-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19002-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19002-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900
χ14111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1511111111111-1-111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111
χ1611-11111-1-1-1-11-111-11111-1-1-1-11-111-11111-1-1-1-11-1-1-11-1-1-1-11111-11-1-11-1-1-1-11111-11
χ1711-11111-1-1-1-1-1111-11111-1-1-1-1-1111-11111-1-1-1-1-11-1-11-1-1-1-111111-1-1-11-1-1-1-111111-1
χ18222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521+521−521+521−521−521+521+5200-2-2-21−521+521−521+521−521−521+521+5200
χ19222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521−521+521−521+521+521−521−5200-2-2-21+521−521+521−521+521+521−521−5200
χ2022-2−1+52−1−52−1+52−1−521−521−521+521+520022-2−1+52−1−52−1+52−1−521−521−521+521+520022-2−1+52−1−52−1+52−1−521−521−521+521+5200-2-221−521+521−521+52−1+52−1+52−1−52−1−5200-2-221−521+521−521+52−1+52−1+52−1−52−1−5200
χ2122-2−1−52−1+52−1−52−1+521+521+521−521−520022-2−1−52−1+52−1−52−1+521+521+521−521−520022-2−1−52−1+52−1−52−1+521+521+521−521−5200-2-221+521−521+521−52−1−52−1−52−1+52−1+5200-2-221+521−521+521−52−1−52−1−52−1+52−1+5200
χ222-2022-2-20000002-2022-2-20000002-2022-2-2000000-220-2-222000000-220-2-222000000
χ232-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7002-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7002-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700-2201−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700-2201−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700
χ242-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7002-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7002-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700-2201−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700-2201−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700
χ252-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19002-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19002-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900-2201+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900-2201+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900
χ262-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19002-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19002-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900-2201+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900-2201+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2811111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ2911-11111-1-1-1-11-111-11111-1-1-1-11-1-1-11-1-1-1-11111-1111-11111-1-1-1-11-1-1-11-1-1-1-11111-11
χ3011-11111-1-1-1-1-1111-11111-1-1-1-1-11-1-11-1-1-1-111111-111-11111-1-1-1-1-11-1-11-1-1-1-111111-1
χ31222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521+521−521+521−521−521+521+5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521+521−521+521−521−521+521+5200
χ32222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521−521+521−521+521+521−521−5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521−521+521−521+521+521−521−5200
χ3322-2−1+52−1−52−1+52−1−521−521−521+521+520022-2−1+52−1−52−1+52−1−521−521−521+521+5200-2-221−521+521−521+52−1+52−1+52−1−52−1−520022-2−1+52−1−52−1+52−1−521−521−521+521+5200-2-221−521+521−521+52−1+52−1+52−1−52−1−5200
χ3422-2−1−52−1+52−1−52−1+521+521+521−521−520022-2−1−52−1+52−1−52−1+521+521+521−521−5200-2-221+521−521+521−52−1−52−1−52−1+52−1+520022-2−1−52−1+52−1−52−1+521+521+521−521−5200-2-221+521−521+521−52−1−52−1−52−1+52−1+5200
χ352-2022-2-20000002-2022-2-2000000-220-2-2220000002-2022-2-2000000-220-2-222000000
χ362-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7002-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700-2201−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7002-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700-2201−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700
χ372-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7002-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700-2201−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7002-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700-2201−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700
χ382-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19002-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900-2201+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19002-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900-2201+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900
χ392-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19002-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900-2201+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19002-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900-2201+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111
χ4111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ4211-11111-1-1-1-11-111-11111-1-1-1-11-1-1-11-1-1-1-11111-11-1-11-1-1-1-11111-1111-11111-1-1-1-11-1
χ4311-11111-1-1-1-1-1111-11111-1-1-1-1-11-1-11-1-1-1-111111-1-1-11-1-1-1-111111-111-11111-1-1-1-1-11
χ44222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521+521−521+521−521−521+521+5200-2-2-21−521+521−521+521−521−521+521+5200222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200
χ45222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521−521+521−521+521+521−521−5200-2-2-21+521−521+521−521+521+521−521−5200222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200
χ4622-2−1+52−1−52−1+52−1−521−521−521+521+520022-2−1+52−1−52−1+52−1−521−521−521+521+5200-2-221−521+521−521+52−1+52−1+52−1−52−1−5200-2-221−521+521−521+52−1+52−1+52−1−52−1−520022-2−1+52−1−52−1+52−1−521−521−521+521+5200
χ4722-2−1−52−1+52−1−52−1+521+521+521−521−520022-2−1−52−1+52−1−52−1+521+521+521−521−5200-2-221+521−521+521−52−1−52−1−52−1+52−1+5200-2-221+521−521+521−52−1−52−1−52−1+52−1+520022-2−1−52−1+52−1−52−1+521+521+521−521−5200
χ482-2022-2-20000002-2022-2-2000000-220-2-222000000-220-2-2220000002-2022-2-2000000
χ492-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7002-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700-2201−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700-2201−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7002-20−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700
χ502-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7002-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700-2201−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ700-2201−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7002-20−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ700
χ512-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19002-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900-2201+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900-2201+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19002-20−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900
χ522-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19002-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900-2201+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ1900-2201+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19002-20−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ1900
χ532222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000
χ5422222222222-2-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000000
χ5522-22222-2-2-2-22-2-2-22-2-2-2-22222-22000000000000000000000000000000000000000
χ5622-22222-2-2-2-2-22-2-22-2-2-2-222222-2000000000000000000000000000000000000000
χ57444−1+5−1−5−1+5−1−5−1+5−1+5−1−5−1−500-4-4-41−51+51−51+51−51−51+51+500000000000000000000000000000000000000000
χ58444−1−5−1+5−1−5−1+5−1−5−1−5−1+5−1+500-4-4-41+51−51+51−51+51+51−51−500000000000000000000000000000000000000000
χ5944-4−1+5−1−5−1+5−1−51−51−51+51+500-4-441−51+51−51+5−1+5−1+5−1−5−1−500000000000000000000000000000000000000000
χ6044-4−1−5−1+5−1−5−1+51+51+51−51−500-4-441+51−51+51−5−1−5−1−5−1+5−1+500000000000000000000000000000000000000000
χ614-4044-4-4000000-440-4-444000000000000000000000000000000000000000000000
χ624-40−1+5−1−51−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700-4401−51+5−1+5−1−52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000000000000000000000000
χ634-40−1+5−1−51−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700-4401−51+5−1+5−1−5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000000000000000000000000
χ644-40−1−5−1+51+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900-4401+51−5−1−5−1+5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000000000000000000000000
χ654-40−1−5−1+51+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900-4401+51−5−1−5−1+52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000000000000000000000000

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