Finite Group Databasebeta

← Group #66069

Character table — Group #66069

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222222224444444444444444444888888882020202020202020
order1222551010101010104444444202020202020202020202020202020202020202022444444
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-11-1
χ4111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-111-11
χ51111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11
χ61111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1
χ71111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-1
χ81111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111
χ9111111111111-11-11-11-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-1
χ10111111111111-11-11-11-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-11-11
χ11111111111111-11-1-11-11-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-1-1111
χ12111111111111-11-1-11-11-1-1-1-11111-1-1-1-1-1-111-1-111-11111-1-1-1
χ13111111111111-1-111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-11-1-1
χ14111111111111-1-111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11-11-111
χ15111111111111-1-11-111-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1-111-1-11
χ16111111111111-1-11-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1-111-1
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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521+521−521+521−521+521−521+5200000000
χ192222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-222-2-2−1+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
χ202222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-222−1+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
χ212222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-22-22-21−521−521+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
χ222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-22-221−521−521+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
χ232222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222-2-221−521−521+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
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+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
χ272222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ282222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ292222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-22-22-21+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
χ302222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-22-221+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
χ312222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222-2-221+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
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
χ3344-4-4444-44-4-4-400000000000000000000000000000000000
χ3444-4-4−1+5−1−5−1+51−5−1−51+51−51+500000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ3000000000000000000000000
χ3544-4-4−1+5−1−5−1+51−5−1−51+51−51+50000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ3000000000000000000000000
χ3644-4-4−1−5−1+5−1−51+5−1+51−51+51−500000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ4000000000000000000000000
χ3744-4-4−1−5−1+5−1−51+5−1+51−51+51−50000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ4000000000000000000000000
χ384-44-444-44-44-4-400000000000000000000000000000000000
χ394-44-4−1+5−1−51−5−1+51+5−1−51−51+5000000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300000000000000000000
χ404-44-4−1+5−1−51−5−1+51+5−1−51−51+500000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300000000000000000000
χ414-44-4−1−5−1+51+5−1−51−5−1+51+51−5000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400000000000000000000
χ424-44-4−1−5−1+51+5−1−51−5−1+51+51−500000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400000000000000000000
χ434-4-4444-4-4-4-44400000000000000000000000000000000000
χ444-4-44−1+5−1−51−51−51+51+5−1+5−1−50000000000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ30000000000000000
χ454-4-44−1+5−1−51−51−51+51+5−1+5−1−5000000000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ30000000000000000
χ464-4-44−1−5−1+51+51+51−51−5−1−5−1+50000000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ40000000000000000
χ474-4-44−1−5−1+51+51+51−51−5−1−5−1+5000000000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ40000000000000000

Here ζ is a primitive root of unity of order 5 (ζ5 = 1).