Finite Group Databasebeta

← Group #10610071

Character table — Group #10610071

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size111111114444444444444422222222888888888888882222222288888888888888555555552020202020202020202020202020
order1222222244444444444444510101010101010202020202020202020202020202051010101010101020202020202020202020202020202222222244444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ31111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1
χ41111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ511111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1
χ611111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-111
χ711111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ811111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1
χ92222-2-2-2-200002-2000000002222-2-2-2-200002-2000000002222-2-2-2-200002-2000000002222-2-2-2-200002-200000000
χ102222-2-2-2-20000-22000000002222-2-2-2-20000-22000000002222-2-2-2-20000-22000000002222-2-2-2-20000-2200000000
χ1122-2-22-22-2000000002i−2i000022-2-22-22-2000000002i−2i000022-2-22-22-2000000002i−2i000022-2-22-22-2000000002i−2i0000
χ1222-2-22-22-200000000−2i2i000022-2-22-22-200000000−2i2i000022-2-22-22-200000000−2i2i000022-2-22-22-200000000−2i2i0000
χ1322-2-2-22-222i−2i00000000000022-2-2-22-222i−2i00000000000022-2-2-22-222i−2i00000000000022-2-2-22-222i−2i000000000000
χ1422-2-2-22-22−2i2i00000000000022-2-2-22-22−2i2i00000000000022-2-2-22-22−2i2i00000000000022-2-2-22-22−2i2i000000000000
χ152-22-22-2-22002i−2i00000000002-22-22-2-22002i−2i00000000002-22-22-2-22002i−2i00000000002-22-22-2-22002i−2i0000000000
χ162-22-22-2-2200−2i2i00000000002-22-22-2-2200−2i2i00000000002-22-22-2-2200−2i2i00000000002-22-22-2-2200−2i2i0000000000
χ172-22-2-222-200000000002i−2i002-22-2-222-200000000002i−2i002-22-2-222-200000000002i−2i002-22-2-222-200000000002i−2i00
χ182-22-2-222-20000000000−2i2i002-22-2-222-20000000000−2i2i002-22-2-222-20000000000−2i2i002-22-2-222-20000000000−2i2i00
χ192-2-2222-2-20000000000002i−2i2-2-2222-2-20000000000002i−2i2-2-2222-2-20000000000002i−2i2-2-2222-2-20000000000002i−2i
χ202-2-2222-2-2000000000000−2i2i2-2-2222-2-2000000000000−2i2i2-2-2222-2-2000000000000−2i2i2-2-2222-2-2000000000000−2i2i
χ212-2-22-2-2220000002-20000002-2-22-2-2220000002-20000002-2-22-2-2220000002-20000002-2-22-2-2220000002-2000000
χ222-2-22-2-222000000-220000002-2-22-2-222000000-220000002-2-22-2-222000000-220000002-2-22-2-222000000-22000000
χ23111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ24111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ251111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ261111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ2711111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ2811111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ2911111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ3011111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ312222-2-2-2-200002-2000000002222-2-2-2-200002-2000000002222-2-2-2-200002-200000000-2-2-2-222220000-2200000000
χ322222-2-2-2-20000-22000000002222-2-2-2-20000-22000000002222-2-2-2-20000-2200000000-2-2-2-2222200002-200000000
χ3322-2-22-22-2000000002i−2i000022-2-22-22-2000000002i−2i000022-2-22-22-2000000002i−2i0000-2-222-22-2200000000−2i2i0000
χ3422-2-22-22-200000000−2i2i000022-2-22-22-200000000−2i2i000022-2-22-22-200000000−2i2i0000-2-222-22-22000000002i−2i0000
χ3522-2-2-22-222i−2i00000000000022-2-2-22-222i−2i00000000000022-2-2-22-222i−2i000000000000-2-2222-22-2−2i2i000000000000
χ3622-2-2-22-22−2i2i00000000000022-2-2-22-22−2i2i00000000000022-2-2-22-22−2i2i000000000000-2-2222-22-22i−2i000000000000
χ372-22-22-2-22002i−2i00000000002-22-22-2-22002i−2i00000000002-22-22-2-22002i−2i0000000000-22-22-222-200−2i2i0000000000
χ382-22-22-2-2200−2i2i00000000002-22-22-2-2200−2i2i00000000002-22-22-2-2200−2i2i0000000000-22-22-222-2002i−2i0000000000
χ392-22-2-222-200000000002i−2i002-22-2-222-200000000002i−2i002-22-2-222-200000000002i−2i00-22-222-2-220000000000−2i2i00
χ402-22-2-222-20000000000−2i2i002-22-2-222-20000000000−2i2i002-22-2-222-20000000000−2i2i00-22-222-2-2200000000002i−2i00
χ412-2-2222-2-20000000000002i−2i2-2-2222-2-20000000000002i−2i2-2-2222-2-20000000000002i−2i-222-2-2-222000000000000−2i2i
χ422-2-2222-2-2000000000000−2i2i2-2-2222-2-2000000000000−2i2i2-2-2222-2-2000000000000−2i2i-222-2-2-2220000000000002i−2i
χ432-2-22-2-2220000002-20000002-2-22-2-2220000002-20000002-2-22-2-2220000002-2000000-222-222-2-2000000-22000000
χ442-2-22-2-222000000-220000002-2-22-2-222000000-220000002-2-22-2-222000000-22000000-222-222-2-20000002-2000000
χ452222222222222222222222−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000000
χ46222222222222-2-222-2-2-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+521+521+520000000000000000000000
χ472222222222-2-222-2-222-2-2-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+521+521+520000000000000000000000
χ482222222222-2-2-2-2-2-2-2-22222−1+52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−520000000000000000000000
χ4922222222-2-22222-2-2-2-222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+520000000000000000000000
χ5022222222-2-222-2-2-2-222-2-222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−520000000000000000000000
χ5122222222-2-2-2-22222-2-2-2-222−1+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+521−521−521−521−52−1+52−1+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+52−1−52−1−520000000000000000000000
χ5222222222-2-2-2-2-2-2222222-2-2−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+520000000000000000000000
χ534444-4-4-4-400004-400000000−1+5−1+5−1+5−1+51−51−51−51−50000−1+51−500000000−1−5−1−5−1−5−1−51+51+51+51+50000−1−51+5000000000000000000000000000000
χ544444-4-4-4-40000-4400000000−1+5−1+5−1+5−1+51−51−51−51−500001−5−1+500000000−1−5−1−5−1−5−1−51+51+51+51+500001+5−1−5000000000000000000000000000000
χ5544-4-44-44-4000000004i−4i0000−1+5−1+51−51−5−1+51−5−1+51−500000000−2ζ11−2ζ192ζ11+2ζ190000−1−5−1−51+51+5−1−51+5−1−51+500000000−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000
χ5644-4-44-44-400000000−4i4i0000−1+5−1+51−51−5−1+51−5−1+51−5000000002ζ11+2ζ19−2ζ11−2ζ190000−1−5−1−51+51+5−1−51+5−1−51+5000000002ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000
χ5744-4-4-44-444i−4i000000000000−1+5−1+51−51−51−5−1+51−5−1+5−2ζ11−2ζ192ζ11+2ζ19000000000000−1−5−1−51+51+51+5−1−51+5−1−5−2ζ3−2ζ72ζ3+2ζ70000000000000000000000000000000000
χ5844-4-4-44-44−4i4i000000000000−1+5−1+51−51−51−5−1+51−5−1+52ζ11+2ζ19−2ζ11−2ζ19000000000000−1−5−1−51+51+51+5−1−51+5−1−52ζ3+2ζ7−2ζ3−2ζ70000000000000000000000000000000000
χ594-44-44-4-44004i−4i0000000000−1+51−5−1+51−5−1+51−51−5−1+500−2ζ11−2ζ192ζ11+2ζ190000000000−1−51+5−1−51+5−1−51+51+5−1−500−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000000000
χ604-44-44-4-4400−4i4i0000000000−1+51−5−1+51−5−1+51−51−5−1+5002ζ11+2ζ19−2ζ11−2ζ190000000000−1−51+5−1−51+5−1−51+51+5−1−5002ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000000000
χ614-44-4-444-400000000004i−4i00−1+51−5−1+51−51−5−1+5−1+51−50000000000−2ζ11−2ζ192ζ11+2ζ1900−1−51+5−1−51+51+5−1−5−1−51+50000000000−2ζ3−2ζ72ζ3+2ζ7000000000000000000000000
χ624-44-4-444-40000000000−4i4i00−1+51−5−1+51−51−5−1+5−1+51−500000000002ζ11+2ζ19−2ζ11−2ζ1900−1−51+5−1−51+51+5−1−5−1−51+500000000002ζ3+2ζ7−2ζ3−2ζ7000000000000000000000000
χ634-4-4444-4-40000000000004i−4i−1+51−51−5−1+5−1+5−1+51−51−5000000000000−2ζ11−2ζ192ζ11+2ζ19−1−51+51+5−1−5−1−5−1−51+51+5000000000000−2ζ3−2ζ72ζ3+2ζ70000000000000000000000
χ644-4-4444-4-4000000000000−4i4i−1+51−51−5−1+5−1+5−1+51−51−50000000000002ζ11+2ζ19−2ζ11−2ζ19−1−51+51+5−1−5−1−5−1−51+51+50000000000002ζ3+2ζ7−2ζ3−2ζ70000000000000000000000
χ654-4-44-4-4440000004-4000000−1+51−51−5−1+51−51−5−1+5−1+5000000−1+51−5000000−1−51+51+5−1−51+51+5−1−5−1−5000000−1−51+50000000000000000000000000000
χ664-4-44-4-444000000-44000000−1+51−51−5−1+51−51−5−1+5−1+50000001−5−1+5000000−1−51+51+5−1−51+51+5−1−5−1−50000001+5−1−50000000000000000000000000000
χ672222222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+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+520000000000000000000000
χ68222222222222-2-222-2-2-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−521−521−520000000000000000000000
χ692222222222-2-222-2-222-2-2-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+521−521−521−521−520000000000000000000000
χ702222222222-2-2-2-2-2-2-2-22222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1+52−1+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+520000000000000000000000
χ7122222222-2-22222-2-2-2-222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521−521−520000000000000000000000
χ7222222222-2-222-2-2-2-222-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1−52−1−521+521+521+521+52−1−52−1−521+521+52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−52−1+52−1+521−521−521−521−52−1+52−1+521−521−52−1+52−1+520000000000000000000000
χ7322222222-2-2-2-22222-2-2-2-222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1+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+521−521−521−521−52−1+52−1+520000000000000000000000
χ7422222222-2-2-2-2-2-2222222-2-2−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−521+521+521+521+521+521+52−1−52−1−52−1−52−1−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+521−521−521−521−521−521−52−1+52−1+52−1+52−1+52−1+52−1+521−521−520000000000000000000000
χ754444-4-4-4-400004-400000000−1−5−1−5−1−5−1−51+51+51+51+50000−1−51+500000000−1+5−1+5−1+5−1+51−51−51−51−50000−1+51−5000000000000000000000000000000
χ764444-4-4-4-40000-4400000000−1−5−1−5−1−5−1−51+51+51+51+500001+5−1−500000000−1+5−1+5−1+5−1+51−51−51−51−500001−5−1+5000000000000000000000000000000
χ7744-4-44-44-4000000004i−4i0000−1−5−1−51+51+5−1−51+5−1−51+500000000−2ζ3−2ζ72ζ3+2ζ70000−1+5−1+51−51−5−1+51−5−1+51−500000000−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000
χ7844-4-44-44-400000000−4i4i0000−1−5−1−51+51+5−1−51+5−1−51+5000000002ζ3+2ζ7−2ζ3−2ζ70000−1+5−1+51−51−5−1+51−5−1+51−5000000002ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000
χ7944-4-4-44-444i−4i000000000000−1−5−1−51+51+51+5−1−51+5−1−5−2ζ3−2ζ72ζ3+2ζ7000000000000−1+5−1+51−51−51−5−1+51−5−1+5−2ζ11−2ζ192ζ11+2ζ190000000000000000000000000000000000
χ8044-4-4-44-44−4i4i000000000000−1−5−1−51+51+51+5−1−51+5−1−52ζ3+2ζ7−2ζ3−2ζ7000000000000−1+5−1+51−51−51−5−1+51−5−1+52ζ11+2ζ19−2ζ11−2ζ190000000000000000000000000000000000
χ814-44-44-4-44004i−4i0000000000−1−51+5−1−51+5−1−51+51+5−1−500−2ζ3−2ζ72ζ3+2ζ70000000000−1+51−5−1+51−5−1+51−51−5−1+500−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000000000
χ824-44-44-4-4400−4i4i0000000000−1−51+5−1−51+5−1−51+51+5−1−5002ζ3+2ζ7−2ζ3−2ζ70000000000−1+51−5−1+51−5−1+51−51−5−1+5002ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000000000
χ834-44-4-444-400000000004i−4i00−1−51+5−1−51+51+5−1−5−1−51+50000000000−2ζ3−2ζ72ζ3+2ζ700−1+51−5−1+51−51−5−1+5−1+51−50000000000−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000
χ844-44-4-444-40000000000−4i4i00−1−51+5−1−51+51+5−1−5−1−51+500000000002ζ3+2ζ7−2ζ3−2ζ700−1+51−5−1+51−51−5−1+5−1+51−500000000002ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000
χ854-4-4444-4-40000000000004i−4i−1−51+51+5−1−5−1−5−1−51+51+5000000000000−2ζ3−2ζ72ζ3+2ζ7−1+51−51−5−1+5−1+5−1+51−51−5000000000000−2ζ11−2ζ192ζ11+2ζ190000000000000000000000
χ864-4-4444-4-4000000000000−4i4i−1−51+51+5−1−5−1−5−1−51+51+50000000000002ζ3+2ζ7−2ζ3−2ζ7−1+51−51−5−1+5−1+5−1+51−51−50000000000002ζ11+2ζ19−2ζ11−2ζ190000000000000000000000
χ874-4-44-4-4440000004-4000000−1−51+51+5−1−51+51+5−1−5−1−5000000−1−51+5000000−1+51−51−5−1+51−51−5−1+5−1+5000000−1+51−50000000000000000000000000000
χ884-4-44-4-444000000-44000000−1−51+51+5−1−51+51+5−1−5−1−50000001+5−1−5000000−1+51−51−5−1+51−51−5−1+5−1+50000001−5−1+50000000000000000000000000000

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