Finite Group Databasebeta

← Group #66056

Character table — Group #66056

Order 320.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11112222222222224444444444444444488888888101010101010101020202020
order1222444455101010101010444442020202020202020202020202020202020202020444444444444
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ411111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111-1-111111111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1
χ6111111-1-111111111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11
χ7111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-11
χ8111111-1-111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1
χ91111-1-11111111111-11-11-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111111-1-1-1
χ101111-1-11111111111-11-11-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1111
χ111111-1-11111111111-1-11-11-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-111
χ121111-1-11111111111-1-11-11-1-1-1-11111-1-1-1-1-1-111-1-111-1-1111111-11-1-1
χ131111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-11-11
χ141111-1-1-1-11111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1111-11-1
χ151111-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-111-1
χ161111-1-1-1-1111111111-111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-11
χ1722222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52000000000000
χ1822222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+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+52000000000000
χ1922222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+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+52000000000000
χ2022222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1−52−1+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+521−52000000000000
χ21222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-2−1+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+52000000000000
χ22222222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-222−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521+521−521+52−1+52−1−52−1+52−1−52000000000000
χ23222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521−52000000000000
χ24222222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-222−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521−521+521−52−1−52−1+52−1−52−1+52000000000000
χ252222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-22-21−521−521+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+52000000000000
χ262222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521+52−1+52−1−521−521+52−1+52−1−52000000000000
χ272222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-22-21+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+521−52000000000000
χ282222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-22-221+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+52000000000000
χ292222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−52000000000000
χ302222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-21−521−521+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+52000000000000
χ312222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-221+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+52000000000000
χ322222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-21+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+521−52000000000000
χ3322-2-2002-2222-22-2-2-20000000002-22-200000000000000002-22-20000
χ3422-2-2002-2222-22-2-2-20000000002-22-20000000000000000-22-220000
χ3522-2-200-22222-22-2-2-2000000000-22-2200000000000000002-2-220000
χ3622-2-200-22222-22-2-2-2000000000-22-220000000000000000-222-20000
χ372-22-22-20022-22-22-2-2000002-22-200000000000000002-22-200000000
χ382-22-22-20022-22-22-2-2000002-22-20000000000000000-22-2200000000
χ392-22-2-220022-22-22-2-200000-22-2200000000000000002-2-2200000000
χ402-22-2-220022-22-22-2-200000-22-220000000000000000-222-200000000
χ4144-4-4004-4−1+5−1−5−1+51−5−1−51+51−51+5000000000−1+51−5−1−51+5000000000000000000000000
χ4244-4-4004-4−1−5−1+5−1−51+5−1+51−51+51−5000000000−1−51+5−1+51−5000000000000000000000000
χ4344-4-400-44−1+5−1−5−1+51−5−1−51+51−51+50000000001−5−1+51+5−1−5000000000000000000000000
χ4444-4-400-44−1−5−1+5−1−51+5−1+51−51+51−50000000001+5−1−51−5−1+5000000000000000000000000
χ454-44-44-400−1+5−1−51−5−1+51+5−1−51−51+500000−1+51−5−1−51+50000000000000000000000000000
χ464-44-44-400−1−5−1+51+5−1−51−5−1+51+51−500000−1−51+5−1+51−50000000000000000000000000000
χ474-44-4-4400−1+5−1−51−5−1+51+5−1−51−51+5000001−5−1+51+5−1−50000000000000000000000000000
χ484-44-4-4400−1−5−1+51+5−1−51−5−1+51+51−5000001+5−1−51−5−1+50000000000000000000000000000
χ494-4-44000044-4-4-4-4440000000000000000000000000000000000000
χ504-4-440000−1+5−1−51−51−51+51+5−1+5−1−500000000000002ζ−2ζ4−2ζ+2ζ42ζ2−2ζ3−2ζ2+2ζ300000000000000000000
χ514-4-440000−1+5−1−51−51−51+51+5−1+5−1−50000000000000−2ζ+2ζ42ζ−2ζ4−2ζ2+2ζ32ζ2−2ζ300000000000000000000
χ524-4-440000−1−5−1+51+51+51−51−5−1−5−1+500000000000002ζ2−2ζ3−2ζ2+2ζ3−2ζ+2ζ42ζ−2ζ400000000000000000000
χ534-4-440000−1−5−1+51+51+51−51−5−1−5−1+50000000000000−2ζ2+2ζ32ζ2−2ζ32ζ−2ζ4−2ζ+2ζ400000000000000000000

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