Finite Group Databasebeta

← Group #10608403

Character table — Group #10608403

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82
size1111111122222222222222224444444444888888888888888888888888888888101010101010101020202020202020204040
order1222222255101010101010101010101010101022224444442410101010101010101010101020202020202020202020202020202020444444442244444424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1
χ611111111111111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ9111111111111111111111111-1-11111-1-1-1-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1
χ10111111111111111111111111-1-11111-1-1-1-11-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11
χ11111111111111111111111111-1-111-1-111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-11
χ12111111111111111111111111-1-111-1-111-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1111-1
χ13111111111111111111111111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-11
χ14111111111111111111111111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-11-1
χ15111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1
χ16111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11
χ1722222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ1822222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-2-2-2-222-2-2−1+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+521−521−521+521+52000000000000000000
χ1922222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-22222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ2022222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-2-2-2-2-2-2-222−1+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+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ2122222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22222-2-2-2-22-21−521−521+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+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ2222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-2-222-2-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ2322222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-222-2-222-221−521−521+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+52−1+52−1+52−1−52−1−52000000000000000000
χ2422222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-222222-21−521−521+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+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ2522222222−1−52−1+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+52222222222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52000000000000000000
χ2622222222−1−52−1+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+522222-2-2-2-222-2-2−1−52−1−52−1+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+521−521−521+521+521−521−52000000000000000000
χ2722222222−1−52−1+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+5222-2-22222-2-2-2-2−1−52−1−52−1+52−1+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+521+521+521−521−52000000000000000000
χ2822222222−1−52−1+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+5222-2-2-2-2-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ2922222222−1−52−1+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+52-2-22222-2-2-2-22-21+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+521+521+521−521−521+521+521−521−52000000000000000000
χ3022222222−1−52−1+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+52-2-222-2-222-2-2-221+521+521−521−52−1−52−1−52−1+52−1+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+52000000000000000000
χ3122222222−1−52−1+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+52-2-2-2-222-2-222-221+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+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3222222222−1−52−1+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+52-2-2-2-2-2-222222-21+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+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ332222-2-2-2-2222-2-22-2-222-2-222-2-200002-200000000000000000000002-22-20000000000002i2i−2i−2i00002i−2i0000
χ342222-2-2-2-2222-2-22-2-222-2-222-2-200002-200000000000000000000002-22-2000000000000−2i−2i2i2i0000−2i2i0000
χ352222-2-2-2-2222-2-22-2-222-2-222-2-20000-220000000000000000000000-22-220000000000002i2i−2i−2i0000−2i2i0000
χ362222-2-2-2-2222-2-22-2-222-2-222-2-20000-220000000000000000000000-22-22000000000000−2i−2i2i2i00002i−2i0000
χ3722-2-222-2-222222222-2-2-2-2-2-2-2-20000002i−2i0000000000000000000000002i−2i2i−2i000000002i−2i2i−2i002-2000000
χ3822-2-222-2-222222222-2-2-2-2-2-2-2-20000002i−2i0000000000000000000000002i−2i2i−2i00000000−2i2i−2i2i00-22000000
χ3922-2-222-2-222222222-2-2-2-2-2-2-2-2000000−2i2i000000000000000000000000−2i2i−2i2i000000002i−2i2i−2i00-22000000
χ4022-2-222-2-222222222-2-2-2-2-2-2-2-2000000−2i2i000000000000000000000000−2i2i−2i2i00000000−2i2i−2i2i002-2000000
χ4122-2-2-2-222222-2-22-2-2-2-222-2-2222-200000000002-22-200000000000000000000000022-2-22-2-220000000000
χ4222-2-2-2-222222-2-22-2-2-2-222-2-2222-200000000002-22-2000000000000000000000000-2-222-222-20000000000
χ4322-2-2-2-222222-2-22-2-2-2-222-2-222-220000000000-22-2200000000000000000000000022-2-2-222-20000000000
χ4422-2-2-2-222222-2-22-2-2-2-222-2-222-220000000000-22-22000000000000000000000000-2-2222-2-220000000000
χ452-22-22-2-2222-22-2-22-22-22-22-22-2000000002-2000000000000002-22-20000000000002-22-200000000002-200
χ462-22-22-2-2222-22-2-22-22-22-22-22-2000000002-2000000000000002-22-2000000000000-22-220000000000-2200
χ472-22-22-2-2222-22-2-22-22-22-22-22-200000000-2200000000000000-22-220000000000002-22-20000000000-2200
χ482-22-22-2-2222-22-2-22-22-22-22-22-200000000-2200000000000000-22-22000000000000-22-2200000000002-200
χ492-2-22-22-2222-2-22-2-22-222-2-222-2002-20000000000002-22-2000000000000000000002-2-2200002-200000000
χ502-2-22-22-2222-2-22-2-22-222-2-222-2002-20000000000002-22-200000000000000000000-222-20000-2200000000
χ512-2-22-22-2222-2-22-2-22-222-2-222-200-22000000000000-22-22000000000000000000002-2-220000-2200000000
χ522-2-22-22-2222-2-22-2-22-222-2-222-200-22000000000000-22-2200000000000000000000-222-200002-200000000
χ534444-4-4-4-4−1+5−1−5−1+51−51−5−1−51+51+5−1+5−1+51−51−5−1−5−1−51+51+500004-40000000000000000000000−1+51−5−1−51+500000000000000000000000000
χ544444-4-4-4-4−1+5−1−5−1+51−51−5−1−51+51+5−1+5−1+51−51−5−1−5−1−51+51+50000-4400000000000000000000001−5−1+51+5−1−500000000000000000000000000
χ554444-4-4-4-4−1−5−1+5−1−51+51+5−1+51−51−5−1−5−1−51+51+5−1+5−1+51−51−500004-40000000000000000000000−1−51+5−1+51−500000000000000000000000000
χ564444-4-4-4-4−1−5−1+5−1−51+51+5−1+51−51−5−1−5−1−51+51+5−1+5−1+51−51−50000-4400000000000000000000001+5−1−51−5−1+500000000000000000000000000
χ5744-4-444-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−51−51−51−51−51+51+51+51+50000004i−4i000000000000000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ70000000000000000000000
χ5844-4-444-4-4−1+5−1−5−1+5−1+5−1+5−1−5−1−5−1−51−51−51−51−51+51+51+51+5000000−4i4i0000000000000000000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ70000000000000000000000
χ5944-4-444-4-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+51+51+51+51+51−51−51−51−50000004i−4i000000000000000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000
χ6044-4-444-4-4−1−5−1+5−1−5−1−5−1−5−1+5−1+5−1+51+51+51+51+51−51−51−51−5000000−4i4i0000000000000000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ190000000000000000000000
χ6144-4-4-4-444−1+5−1−5−1+51−51−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−54-40000000000−1+51−5−1−51+5000000000000000000000000000000000000000000
χ6244-4-4-4-444−1+5−1−5−1+51−51−5−1−51+51+51−51−5−1+5−1+51+51+5−1−5−1−5-4400000000001−5−1+51+5−1−5000000000000000000000000000000000000000000
χ6344-4-4-4-444−1−5−1+5−1−51+51+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+54-40000000000−1−51+5−1+51−5000000000000000000000000000000000000000000
χ6444-4-4-4-444−1−5−1+5−1−51+51+5−1+51−51−51+51+5−1−5−1−51−51−5−1+5−1+5-4400000000001+5−1−51−5−1+5000000000000000000000000000000000000000000
χ654-44-44-4-44−1+5−1−51−5−1+51−51+5−1−51+5−1+51−5−1+51−5−1−51+5−1−51+5000000004-400000000000000−1+51−5−1−51+5000000000000000000000000000000
χ664-44-44-4-44−1+5−1−51−5−1+51−51+5−1−51+5−1+51−5−1+51−5−1−51+5−1−51+500000000-44000000000000001−5−1+51+5−1−5000000000000000000000000000000
χ674-44-44-4-44−1−5−1+51+5−1−51+51−5−1+51−5−1−51+5−1−51+5−1+51−5−1+51−5000000004-400000000000000−1−51+5−1+51−5000000000000000000000000000000
χ684-44-44-4-44−1−5−1+51+5−1−51+51−5−1+51−5−1−51+5−1−51+5−1+51−5−1+51−500000000-44000000000000001+5−1−51−5−1+5000000000000000000000000000000
χ694-44-4-444-444-4-44-4-444-4-444-4-440000000000000000000000000000000000000000000000000000000000
χ704-44-4-444-4−1+5−1−51−51−5−1+51+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−50000000000000000000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ18000000000000000000
χ714-44-4-444-4−1+5−1−51−51−5−1+51+51+5−1−5−1+51−51−5−1+5−1−51+51+5−1−5000000000000000000000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ18000000000000000000
χ724-44-4-444-4−1−5−1+51+51+5−1−51−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+5000000000000000000000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ14000000000000000000
χ734-44-4-444-4−1−5−1+51+51+5−1−51−51−5−1+5−1−51+51+5−1−5−1+51−51−5−1+50000000000000000000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ14000000000000000000
χ744-4-444-44-444-44-4-44-4-44-44-44-440000000000000000000000000000000000000000000000000000000000
χ754-4-444-44-4−1+5−1−51−5−1+51−51+5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000002ζ6−2ζ14−2ζ6+2ζ14−2ζ2+2ζ182ζ2−2ζ180000000000000000000000000000000000
χ764-4-444-44-4−1+5−1−51−5−1+51−51+5−1−51+51−5−1+51−5−1+51+5−1−51+5−1−500000000000000000000−2ζ6+2ζ142ζ6−2ζ142ζ2−2ζ18−2ζ2+2ζ180000000000000000000000000000000000
χ774-4-444-44-4−1−5−1+51+5−1−51+51−5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+500000000000000000000−2ζ2+2ζ182ζ2−2ζ18−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000000
χ784-4-444-44-4−1−5−1+51+5−1−51+51−5−1+51−51+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000002ζ2−2ζ18−2ζ2+2ζ182ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000000
χ794-4-44-44-44−1+5−1−51−51−5−1+51+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+5004-4000000000000−1+51−5−1−51+500000000000000000000000000000000000000
χ804-4-44-44-44−1+5−1−51−51−5−1+51+51+5−1−51−5−1+5−1+51−51+5−1−5−1−51+500-440000000000001−5−1+51+5−1−500000000000000000000000000000000000000
χ814-4-44-44-44−1−5−1+51+51+5−1−51−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−5004-4000000000000−1−51+5−1+51−500000000000000000000000000000000000000
χ824-4-44-44-44−1−5−1+51+51+5−1−51−51−5−1+51+5−1−5−1−51+51−5−1+5−1+51−500-440000000000001+5−1−51−5−1+500000000000000000000000000000000000000

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