Finite Group Databasebeta

← Group #66035

Character table — Group #66035

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222224444444444444444448888888810101010202020202020
order1222445510101010101024444420202020202020202020202010102020202020204444444444
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-1-1
χ41111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-111
χ511111111111111-1-11-11-1111111111111-1-1-1-1-1-1-1-11111-11-1-11-1
χ611111111111111-1-11-11-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-11
χ711111111111111-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11-1-11
χ811111111111111-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-111-1
χ91111-1-1111111111-11-1-11-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-11-1
χ101111-1-1111111111-11-1-11-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-11-11-11
χ111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-11
χ121111-1-1111111111-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111-1
χ131111-1-111111111-1111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1111
χ141111-1-111111111-1111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111-1-1-1
χ151111-1-111111111-11-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1111-1-1
χ161111-1-111111111-11-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1-111
χ17222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222222−1+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+52−1−520000000000
χ18222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521+520000000000
χ19222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-22-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+520000000000
χ20222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-22-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−520000000000
χ21222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222222−1−52−1−52−1+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+520000000000
χ22222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−520000000000
χ23222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22-22-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−520000000000
χ24222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-22-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+520000000000
χ252222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-22-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ262222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-222-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000000000
χ272222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2222-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ282222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521+52−1+52−1−52−1+52−1−521−521+520000000000
χ292222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-22-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ302222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-222-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000000000
χ312222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2222-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ322222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521−52−1−52−1+52−1−52−1+521+521−520000000000
χ332-2-222i−2i222-2-22-2-20000002i−2i2i−2i00000000000000002i−2i2-2000000
χ342-2-222i−2i222-2-22-2-20000002i−2i2i−2i0000000000000000−2i2i-22000000
χ352-2-22−2i2i222-2-22-2-2000000−2i2i−2i2i00000000000000002i−2i-22000000
χ362-2-22−2i2i222-2-22-2-2000000−2i2i−2i2i0000000000000000−2i2i2-2000000
χ3744-4-40044-44-4-44-4000000000000000000000000000000000000
χ3844-4-400−1+5−1−51−5−1+51−51+5−1−51+50000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000000000000000000000
χ3944-4-400−1+5−1−51−5−1+51−51+5−1−51+500000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000000000000000000000
χ4044-4-400−1−5−1+51+5−1−51+51−5−1+51−500000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000000000
χ4144-4-400−1−5−1+51+5−1−51+51−5−1+51−50000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000000000
χ424-44-40044-4-44-4-44000000000000000000000000000000000000
χ434-44-400−1+5−1−51−51−5−1+51+51+5−1−500000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000
χ444-44-400−1+5−1−51−51−5−1+51+51+5−1−5000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000
χ454-44-400−1−5−1+51+51+5−1−51−51−5−1+5000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000
χ464-44-400−1−5−1+51+51+5−1−51−51−5−1+500000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000
χ474-4-444i−4i−1+5−1−5−1+51−51−5−1−51+51+5000000−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ700000000000000000000000000
χ484-4-444i−4i−1−5−1+5−1−51+51+5−1+51−51−5000000−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ1900000000000000000000000000
χ494-4-44−4i4i−1+5−1−5−1+51−51−5−1−51+51+50000002ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ700000000000000000000000000
χ504-4-44−4i4i−1−5−1+5−1−51+51+5−1+51−51−50000002ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ1900000000000000000000000000

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