Finite Group Databasebeta

← Group #66045

Character table — Group #66045

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222224444444444444444444888888882020202020202020
order1222551010101010102444444202020202020202020202020101020202020202022222444
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-11-1-1
χ4111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-111
χ51111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-11-1-11-1
χ61111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11-111-11
χ71111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-11
χ81111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-111-1
χ9111111111111-11-11-11-1111111111111-1-1-1-1-1-1-1-11-1111-1-1-1
χ10111111111111-11-11-11-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1111
χ11111111111111-11-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-111
χ12111111111111-11-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-1
χ13111111111111-1-111-1-11-1-1-1-11111-1-1-1-1-1-111-1-1111-1-11-11-11
χ14111111111111-1-111-1-11-1-1-1-11111-1-1-1-1-1-111-1-111-111-11-11-1
χ15111111111111-1-11-111-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1-1111-1
χ16111111111111-1-11-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1111-1-1-11
χ172222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222222−1+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+52−1−5200000000
χ182222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52222-2-2-2-2−1+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+5200000000
χ192222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-222-2-21−521−521+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+5200000000
χ202222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2-2-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ212222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-22-22-2−1+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+5200000000
χ222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-22-2-22-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ232222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ242222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22-222-21−521−521+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+5200000000
χ252222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222222−1−52−1−52−1+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+5200000000
χ262222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52222-2-2-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ272222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-222-2-21+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+521−5200000000
χ282222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2-2-2-2221+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+5200000000
χ292222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-22-22-2−1−52−1−52−1+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+521−5200000000
χ302222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-22-2-22-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ312222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-221+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+5200000000
χ322222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22-222-21+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+521−5200000000
χ3344-4-4444-4-44-4-400000000000000000000000000000000000
χ3444-4-4−1+5−1−5−1+51−51−5−1−51+51+5000000000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ70000000000000000
χ3544-4-4−1+5−1−5−1+51−51−5−1−51+51+50000000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ70000000000000000
χ3644-4-4−1−5−1+5−1−51+51+5−1+51−51−50000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ190000000000000000
χ3744-4-4−1−5−1+5−1−51+51+5−1+51−51−5000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ190000000000000000
χ384-44-444-44-4-44-400000000000000000000000000000000000
χ394-44-4−1+5−1−51−5−1+51−51+5−1−51+500000000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ700000000000000000000
χ404-44-4−1+5−1−51−5−1+51−51+5−1−51+5000000000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ700000000000000000000
χ414-44-4−1−5−1+51+5−1−51+51−5−1+51−5000000000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ1900000000000000000000
χ424-44-4−1−5−1+51+5−1−51+51−5−1+51−500000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ1900000000000000000000
χ434-4-4444-4-44-4-4400000000000000000000000000000000000
χ444-4-44−1+5−1−51−51−5−1+51+51+5−1−50000000−2ζ11+2ζ192ζ11−2ζ192ζ3−2ζ7−2ζ3+2ζ7000000000000000000000000
χ454-4-44−1+5−1−51−51−5−1+51+51+5−1−500000002ζ11−2ζ19−2ζ11+2ζ19−2ζ3+2ζ72ζ3−2ζ7000000000000000000000000
χ464-4-44−1−5−1+51+51+5−1−51−51−5−1+500000002ζ3−2ζ7−2ζ3+2ζ72ζ11−2ζ19−2ζ11+2ζ19000000000000000000000000
χ474-4-44−1−5−1+51+51+5−1−51−51−5−1+50000000−2ζ3+2ζ72ζ3−2ζ7−2ζ11+2ζ192ζ11−2ζ19000000000000000000000000

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