Finite Group Databasebeta

← Group #66014

Character table — Group #66014

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222222222222444444444444444455558888888810101010101020202020
order1222444444551010101010102244202020202020202020202020444410101010202020202244444444
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
χ5111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ7111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111
χ8111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ91111-1-111-1-1111111111-11-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11-11-1
χ101111-1-111-1-1111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-11
χ111111-1-111-1-111111111-11-111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-11-11
χ121111-1-111-1-111111111-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-11-1
χ131111-1-1-1-111111111111-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11-1-11
χ141111-1-1-1-111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-111-1
χ151111-1-1-1-11111111111-111-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-111-1
χ161111-1-1-1-11111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1-11
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+521−521−521+521+52−1+52−1+52−1−52−1−520000−1+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+521−521−521+521+52−1+52−1+52−1−52−1−5200001−521+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+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+521−521−521+521+521−521−52−1−52−1−52−1+52−1+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+52−1−522-22-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+52−1−52-22-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+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+522-22-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000−1−52−1+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+52-22-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200001+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+52−1−522-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52−1−52-222-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+522-2-221+521+521−521−52−1−52−1−52−1+52−1+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+52-222-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200001+521−52−1−52−1+52−1−52−1+521+521−520000000000
χ3322-2-22-2000022-2-2-2-2220000000000002-22-22i2i−2i−2i0000000000002i−2i0000
χ3422-2-22-2000022-2-2-2-2220000000000002-22-2−2i−2i2i2i000000000000−2i2i0000
χ3522-2-2-22000022-2-2-2-222000000000000-22-222i2i−2i−2i000000000000−2i2i0000
χ3622-2-2-22000022-2-2-2-222000000000000-22-22−2i−2i2i2i0000000000002i−2i0000
χ372-22-200002i−2i222-22-2-2-2000000002i−2i2i−2i00002-22-200000000002i−2i000000
χ382-22-200002i−2i222-22-2-2-2000000002i−2i2i−2i0000-22-220000000000−2i2i000000
χ392-22-20000−2i2i222-22-2-2-200000000−2i2i−2i2i00002-22-20000000000−2i2i000000
χ402-22-20000−2i2i222-22-2-2-200000000−2i2i−2i2i0000-22-2200000000002i−2i000000
χ412-2-22002i−2i0022-22-22-2-200002i−2i2i−2i000000002i−2i−2i2i000000002-200000000
χ422-2-22002i−2i0022-22-22-2-200002i−2i2i−2i00000000−2i2i2i−2i00000000-2200000000
χ432-2-2200−2i2i0022-22-22-2-20000−2i2i−2i2i000000002i−2i−2i2i00000000-2200000000
χ442-2-2200−2i2i0022-22-22-2-20000−2i2i−2i2i00000000−2i2i2i−2i000000002-200000000
χ4544-4-44-40000−1+5−1−51−51−51+51+5−1+5−1−5000000000000−1+51−5−1−51+50000000000000000000000
χ4644-4-44-40000−1−5−1+51+51+51−51−5−1−5−1+5000000000000−1−51+5−1+51−50000000000000000000000
χ4744-4-4-440000−1+5−1−51−51−51+51+5−1+5−1−50000000000001−5−1+51+5−1−50000000000000000000000
χ4844-4-4-440000−1−5−1+51+51+51−51−5−1−5−1+50000000000001+5−1−51−5−1+50000000000000000000000
χ494-44-400004i−4i−1+5−1−5−1+51−5−1−51+51−51+500000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000
χ504-44-400004i−4i−1−5−1+5−1−51+5−1+51−51+51−500000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000
χ514-44-40000−4i4i−1+5−1−5−1+51−5−1−51+51−51+5000000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000
χ524-44-40000−4i4i−1−5−1+5−1−51+5−1+51−51+51−5000000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000
χ534-4-44004i−4i00−1+5−1−51−5−1+51+5−1−51−51+50000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7000000000000000000000000000000
χ544-4-44004i−4i00−1−5−1+51+5−1−51−5−1+51+51−50000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19000000000000000000000000000000
χ554-4-4400−4i4i00−1+5−1−51−5−1+51+5−1−51−51+500002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ7000000000000000000000000000000
χ564-4-4400−4i4i00−1−5−1+51+5−1−51−5−1+51+51−500002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ19000000000000000000000000000000

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