Finite Group Databasebeta

← Group #66025

Character table — Group #66025

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222444444444444444455558888888810101010101020202020
order1222444444551010101010104444202020202020202020202020444420202020202020202244442244
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11-11-1
χ6111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-11-11
χ7111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-11-11
χ8111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-11-1
χ91111-1-111-1-1111111111-11-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1111-1-11
χ101111-1-111-1-1111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-111-1
χ111111-1-111-1-111111111-11-11-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-111-111-1
χ121111-1-111-1-111111111-11-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-11-1-11
χ131111-1-1-1-111111111111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1
χ141111-1-1-1-111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111
χ151111-1-1-1-11111111111-111-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111
χ161111-1-1-1-11111111111-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ172222222222−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000
χ182222222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+521−521+521−521+520000000000
χ192222222222−1−52−1+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+520000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000
χ202222222222−1−52−1+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+52−1−52−1−52−1+52−1+5200001+521−521+521−521+521−521+521−520000000000
χ21222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000−1+52−1−52−1+52−1−521−521+521−521+520000000000
χ22222222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200001−521+521−521+52−1+52−1−52−1+52−1−520000000000
χ23222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+52−1−52−1+521+521−521+521−520000000000
χ24222222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200001+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ252222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-22-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ262222-2-222-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-22-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ272222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-22-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ282222-2-222-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-22-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ292222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000−1+52−1−521−521+521−521+52−1+52−1−520000000000
χ302222-2-2-2-222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200001−521+52−1+52−1−52−1+52−1−521−521+520000000000
χ312222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−1−52−1+521+521−521+521−52−1−52−1+520000000000
χ322222-2-2-2-222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-222-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+521−52−1−52−1+52−1−52−1+521+521−520000000000
χ3322-2-2002i−2i0022-2-22-22-20000000000002i−2i2i−2i22-2-20000000000002i−2i0000
χ3422-2-2002i−2i0022-2-22-22-20000000000002i−2i2i−2i-2-222000000000000−2i2i0000
χ3522-2-200−2i2i0022-2-22-22-2000000000000−2i2i−2i2i22-2-2000000000000−2i2i0000
χ3622-2-200−2i2i0022-2-22-22-2000000000000−2i2i−2i2i-2-2220000000000002i−2i0000
χ372-22-22i−2i000022-2-2-22-22000000002i−2i2i−2i00002i−2i2i−2i000000002-200000000
χ382-22-22i−2i000022-2-2-22-22000000002i−2i2i−2i0000−2i2i−2i2i00000000-2200000000
χ392-22-2−2i2i000022-2-2-22-2200000000−2i2i−2i2i00002i−2i2i−2i00000000-2200000000
χ402-22-2−2i2i000022-2-2-22-2200000000−2i2i−2i2i0000−2i2i−2i2i000000002-200000000
χ412-2-2200002-22222-2-2-2-200002-22-2000000002i−2i−2i2i00000000002i−2i000000
χ422-2-2200002-22222-2-2-2-200002-22-200000000−2i2i2i−2i0000000000−2i2i000000
χ432-2-220000-222222-2-2-2-20000-22-22000000002i−2i−2i2i0000000000−2i2i000000
χ442-2-220000-222222-2-2-2-20000-22-2200000000−2i2i2i−2i00000000002i−2i000000
χ4544-4-4004i−4i00−1+5−1−51−51+5−1+51−5−1−51+5000000000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ70000000000000000000000
χ4644-4-4004i−4i00−1−5−1+51+51−5−1−51+5−1+51−5000000000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ190000000000000000000000
χ4744-4-400−4i4i00−1+5−1−51−51+5−1+51−5−1−51+50000000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ70000000000000000000000
χ4844-4-400−4i4i00−1−5−1+51+51−5−1−51+5−1+51−50000000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ190000000000000000000000
χ494-44-44i−4i0000−1+5−1−51−51+51−5−1+51+5−1−500000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000
χ504-44-44i−4i0000−1−5−1+51+51−51+5−1−51−5−1+500000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000
χ514-44-4−4i4i0000−1+5−1−51−51+51−5−1+51+5−1−5000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000
χ524-44-4−4i4i0000−1−5−1+51+51−51+5−1−51−5−1+5000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000
χ534-4-4400004-4−1+5−1−5−1+5−1−51−51−51+51+50000−1+51−5−1−51+5000000000000000000000000000000
χ544-4-4400004-4−1−5−1+5−1−5−1+51+51+51−51−50000−1−51+5−1+51−5000000000000000000000000000000
χ554-4-440000-44−1+5−1−5−1+5−1−51−51−51+51+500001−5−1+51+5−1−5000000000000000000000000000000
χ564-4-440000-44−1−5−1+5−1−5−1+51+51+51−51−500001+5−1−51−5−1+5000000000000000000000000000000

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