Finite Group Databasebeta

← Group #66080

Character table — Group #66080

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1122222222222444444444444442020202011222222222224444444444444420202020
order1224455101020202020881010202040404040404040402224222441010101020202020881010202040404040404040402224
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-1
χ31111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111111111111-1-11111-1-1-1-1-1-1-1-111-1-1
χ41111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ511-1-11111111111-1-1-1-1-11111-1-1-1-11-11-111-1-11111111111-1-1-1-1-11111-1-1-1-11-11-1
χ611-1-11111111111-1-1-1-1-11111-1-1-1-1-11-1111-1-11111111111-1-1-1-1-11111-1-1-1-1-11-11
χ711-1-1111111111-11-1-1-1-1-1-1-1-111111-1-1111-1-1111111111-11-1-1-1-1-1-1-1-111111-1-11
χ811-1-1111111111-11-1-1-1-1-1-1-1-11111-111-111-1-1111111111-11-1-1-1-1-1-1-1-11111-111-1
χ922222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ1022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000
χ1122222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ1222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000
χ13222-2-22222-2-2-2-20022-2-2000000000000222-2-22222-2-2-2-20022-2-2000000000000
χ14222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000
χ15222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000
χ16222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000
χ17222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000
χ1822-22-22222-2-2-2-200-2-22200000000000022-22-22222-2-2-2-200-2-222000000000000
χ1922-22-2−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7000022-22-2−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000
χ2022-22-2−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7000022-22-2−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000
χ2122-22-2−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19000022-22-2−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000
χ2222-22-2−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19000022-22-2−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000
χ2322-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000022-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000
χ2422-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000022-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000
χ2522-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000022-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000
χ2622-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000022-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000
χ274-400044-4-400000000000000000000004-400044-4-40000000000000000000000
χ284-4000−1+5−1−51−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000000000000000004-4000−1+5−1−51−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000
χ294-4000−1+5−1−51−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000000000000000004-4000−1+5−1−51−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000
χ304-4000−1−5−1+51+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000004-4000−1−5−1+51+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000
χ314-4000−1−5−1+51+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000004-4000−1−5−1+51+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000
χ321111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ33111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ341111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111
χ351111111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ3611-1-11111111111-1-1-1-1-11111-1-1-1-11-11-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-11-11
χ3711-1-11111111111-1-1-1-1-11111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111-11-1
χ3811-1-1111111111-11-1-1-1-1-1-1-1-111111-1-11-1-111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-111-1
χ3911-1-1111111111-11-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-1-1-1-1-1-11-111111111-1-1-1-11-1-11
χ4022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000-2-2-2-2-21−521+521−521+521−521−521+521+52-2-21−521+521−521+521−521−521+521+521−521−521+521+520000
χ4122222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+520000-2-2-2-2-21−521+521−521+521−521−521+521+52221−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ4222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000-2-2-2-2-21+521−521+521−521+521+521−521−52-2-21+521−521+521−521+521+521−521−521+521+521−521−520000
χ4322222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000-2-2-2-2-21+521−521+521−521+521+521−521−52221+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ44222-2-22222-2-2-2-20022-2-2000000000000-2-2-222-2-2-2-2222200-2-222000000000000
χ45222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000-2-2-2221−521+521−521+52−1+52−1+52−1−52−1−52001−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000
χ46222-2-2−1+52−1−52−1+52−1−521−521−521+521+5200−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000-2-2-2221−521+521−521+52−1+52−1+52−1−52−1−52001−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000
χ47222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000-2-2-2221+521−521+521−52−1−52−1−52−1+52−1+52001+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000
χ48222-2-2−1−52−1+52−1−52−1+521+521+521−521−5200−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000-2-2-2221+521−521+521−52−1−52−1−52−1+52−1+52001+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000
χ4922-22-22222-2-2-2-200-2-222000000000000-2-22-22-2-2-2-222220022-2-2000000000000
χ5022-22-2−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000-2-22-221−521+521−521+52−1+52−1+52−1−52−1−5200−1+52−1−521−521+52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000
χ5122-22-2−1+52−1−52−1+52−1−521−521−521+521+52001−521+52−1+52−1−52ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ70000-2-22-221−521+521−521+52−1+52−1+52−1−52−1−5200−1+52−1−521−521+52−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ70000
χ5222-22-2−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000-2-22-221+521−521+521−52−1−52−1−52−1+52−1+5200−1−52−1+521+521−52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000
χ5322-22-2−1−52−1+52−1−52−1+521+521+521−521−52001+521−52−1−52−1+52−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ19ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ190000-2-22-221+521−521+521−52−1−52−1−52−1+52−1+5200−1−52−1+521+521−52ζ3−ζ7−ζ3+ζ7ζ11−ζ19−ζ11+ζ19−ζ3+ζ7ζ3−ζ7−ζ11+ζ19ζ11−ζ190000
χ5422-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-21−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+520000-2-222-21−521+521−521+521−521−521+521+52-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000
χ5522-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-221−521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−520000-2-222-21−521+521−521+521−521−521+521+522-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000
χ5622-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-21+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−520000-2-222-21+521−521+521−521+521+521−521−52-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000
χ5722-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-221+521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+520000-2-222-21+521−521+521−521+521+521−521−522-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000
χ584-400044-4-40000000000000000000000-44000-4-4440000000000000000000000
χ594-4000−1+5−1−51−51+5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000-440001−51+5−1+5−1−52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000
χ604-4000−1+5−1−51−51+52ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000-440001−51+5−1+5−1−5−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000
χ614-4000−1−5−1+51+51−52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000-440001+51−5−1−5−1+5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000
χ624-4000−1−5−1+51+51−5−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000-440001+51−5−1−5−1+52ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000

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