Finite Group Databasebeta

← Group #67140

Character table — Group #67140

Order 360.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45
size112222222222224444444444444444101010101010101010181818181890
order123333556666101015151515151515153030303030303030412121212121212122101010102
χ1111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-111111-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11
χ5222222−1−52−1+522222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000002−1−52−1−52−1+52−1+520
χ6222222−1−52−1+522222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000000-21+521+521−521−520
χ7222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−520000000002−1+52−1+52−1−52−1−520
χ8222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52000000000-21−521−521+521+520
χ9222-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1000000
χ10222-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2111111000000
χ1122-12-1-122-12-1-122-12-1-1-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1000000
χ1222-12-1-122-12-1-122-12-1-1-12-1-1-12-1-1-12-1-1-211-2-21111000000
χ1322-1-12-122-1-12-122-1-12-1-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1000000
χ1422-1-12-122-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1-21111-2-211000000
χ1522-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122000000
χ1622-1-1-1222-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-2111111-2-2000000
χ172-2222222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000000000
χ182-22222−1−52−1+52-2-2-2-21+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580
χ192-22222−1−52−1+52-2-2-2-21+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580
χ202-22222−1+52−1−52-2-2-2-21−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000000000ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ460
χ212-22222−1+52−1−52-2-2-2-21−521+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−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ460
χ222-22-1-1-122-2111-2-22-1-1-12-1-1-1-2111-21110003−33−33−3000000
χ232-22-1-1-122-2111-2-22-1-1-12-1-1-1-2111-2111000−33−33−33000000
χ242-2-12-1-1221-211-2-2-12-1-1-12-1-11-2111-21103−3003−3−33000000
χ252-2-12-1-1221-211-2-2-12-1-1-12-1-11-2111-2110−3300−333−3000000
χ262-2-1-12-12211-21-2-2-1-12-1-1-12-111-2111-2103−3−33003−3000000
χ272-2-1-12-12211-21-2-2-1-12-1-1-12-111-2111-210−333−300−33000000
χ282-2-1-1-1222111-2-2-2-1-1-12-1-1-12111-2111-203−33−3−3300000000
χ292-2-1-1-1222111-2-2-2-1-1-12-1-1-12111-2111-20−33−333−300000000
χ30444-2-2-2−1−5−1+54-2-2-2−1−5−1+5−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52000000000000000
χ31444-2-2-2−1+5−1−54-2-2-2−1+5−1−5−1+51−521−521−52−1−51+521+521+52−1+51−521−521−52−1−51+521+521+52000000000000000
χ3244-24-2-2−1−5−1+5-24-2-2−1−5−1+51+52−1−51+521+521−52−1+51−521−521+52−1−51+521+521−52−1+51−521−52000000000000000
χ3344-24-2-2−1+5−1−5-24-2-2−1+5−1−51−52−1+51−521−521+52−1−51+521+521−52−1+51−521−521+52−1−51+521+52000000000000000
χ3444-2-24-2−1−5−1+5-2-24-2−1−5−1+51+521+52−1−51+521−521−52−1+51−521+521+52−1−51+521−521−52−1+51−52000000000000000
χ3544-2-24-2−1+5−1−5-2-24-2−1+5−1−51−521−52−1+51−521+521+52−1−51+521−521−52−1+51−521+521+52−1−51+52000000000000000
χ3644-2-2-24−1−5−1+5-2-2-24−1−5−1+51+521+521+52−1−51−521−521−52−1+51+521+521+52−1−51−521−521−52−1+5000000000000000
χ3744-2-2-24−1+5−1−5-2-2-24−1+5−1−51−521−521−52−1+51+521+521+52−1−51−521−521−52−1+51+521+521+52−1−5000000000000000
χ384-44-2-2-2−1−5−1+5-42221+51−5−1−51+521+521+52−1+51−521−521−521+5−1−52−1−52−1−521−5−1+52−1+52−1+52000000000000000
χ394-44-2-2-2−1+5−1−5-42221−51+5−1+51−521−521−52−1−51+521+521+521−5−1+52−1+52−1+521+5−1−52−1−52−1−52000000000000000
χ404-4-24-2-2−1−5−1+52-4221+51−51+52−1−51+521+521−52−1+51−521−52−1−521+5−1−52−1−52−1+521−5−1+52−1+52000000000000000
χ414-4-24-2-2−1+5−1−52-4221−51+51−52−1+51−521−521+52−1−51+521+52−1+521−5−1+52−1+52−1−521+5−1−52−1−52000000000000000
χ424-4-2-24-2−1−5−1+522-421+51−51+521+52−1−51+521−521−52−1+51−52−1−52−1−521+5−1−52−1+52−1+521−5−1+52000000000000000
χ434-4-2-24-2−1+5−1−522-421−51+51−521−52−1+51−521+521+52−1−51+52−1+52−1+521−5−1+52−1−52−1−521+5−1−52000000000000000
χ444-4-2-2-24−1−5−1+5222-41+51−51+521+521+52−1−51−521−521−52−1+5−1−52−1−52−1−521+5−1+52−1+52−1+521−5000000000000000
χ454-4-2-2-24−1+5−1−5222-41−51+51−521−521−52−1+51+521+521+52−1−5−1+52−1+52−1+521−5−1−52−1−52−1−521+5000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1).