Finite Group Databasebeta

← Group #4380

Character table — Group #4380

Order 180.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15
size144444444444454545
order13351515151515151515244
χ1111111111111111
χ21111111111111-1-1
χ3111111111111-1i−i
χ4111111111111-1−ii
χ541-241111-2-2-2-2000
χ641-2-1ζ2+ζ22−ζ26−ζ34+ζ38+ζ58ζ14−ζ22+ζ26+ζ34−ζ38+ζ46−ζ2+ζ14+ζ26+ζ34+ζ46−ζ58ζ2−ζ14+ζ22+ζ38−ζ46+ζ58−ζ2−ζ14−ζ46−ζ58−ζ22−ζ26−ζ34−ζ38−ζ2−ζ26−ζ34−ζ58−ζ14−ζ22−ζ38−ζ46000
χ741-2-1ζ14−ζ22+ζ26+ζ34−ζ38+ζ46ζ2−ζ14+ζ22+ζ38−ζ46+ζ58ζ2+ζ22−ζ26−ζ34+ζ38+ζ58−ζ2+ζ14+ζ26+ζ34+ζ46−ζ58−ζ2−ζ26−ζ34−ζ58−ζ14−ζ22−ζ38−ζ46−ζ22−ζ26−ζ34−ζ38−ζ2−ζ14−ζ46−ζ58000
χ841-2-1−ζ2+ζ14+ζ26+ζ34+ζ46−ζ58ζ2+ζ22−ζ26−ζ34+ζ38+ζ58ζ2−ζ14+ζ22+ζ38−ζ46+ζ58ζ14−ζ22+ζ26+ζ34−ζ38+ζ46−ζ14−ζ22−ζ38−ζ46−ζ2−ζ26−ζ34−ζ58−ζ2−ζ14−ζ46−ζ58−ζ22−ζ26−ζ34−ζ38000
χ941-2-1ζ2−ζ14+ζ22+ζ38−ζ46+ζ58−ζ2+ζ14+ζ26+ζ34+ζ46−ζ58ζ14−ζ22+ζ26+ζ34−ζ38+ζ46ζ2+ζ22−ζ26−ζ34+ζ38+ζ58−ζ22−ζ26−ζ34−ζ38−ζ2−ζ14−ζ46−ζ58−ζ14−ζ22−ζ38−ζ46−ζ2−ζ26−ζ34−ζ58000
χ10444-1-1-1-1-1-1-1-1-1000
χ114-214-2-2-2-21111000
χ124-21-1−ζ2−ζ14−ζ46−ζ58−ζ2−ζ26−ζ34−ζ58−ζ14−ζ22−ζ38−ζ46−ζ22−ζ26−ζ34−ζ38−ζ2+ζ14+ζ26+ζ34+ζ46−ζ58ζ14−ζ22+ζ26+ζ34−ζ38+ζ46ζ2+ζ22−ζ26−ζ34+ζ38+ζ58ζ2−ζ14+ζ22+ζ38−ζ46+ζ58000
χ134-21-1−ζ22−ζ26−ζ34−ζ38−ζ14−ζ22−ζ38−ζ46−ζ2−ζ26−ζ34−ζ58−ζ2−ζ14−ζ46−ζ58ζ14−ζ22+ζ26+ζ34−ζ38+ζ46−ζ2+ζ14+ζ26+ζ34+ζ46−ζ58ζ2−ζ14+ζ22+ζ38−ζ46+ζ58ζ2+ζ22−ζ26−ζ34+ζ38+ζ58000
χ144-21-1−ζ2−ζ26−ζ34−ζ58−ζ22−ζ26−ζ34−ζ38−ζ2−ζ14−ζ46−ζ58−ζ14−ζ22−ζ38−ζ46ζ2+ζ22−ζ26−ζ34+ζ38+ζ58ζ2−ζ14+ζ22+ζ38−ζ46+ζ58ζ14−ζ22+ζ26+ζ34−ζ38+ζ46−ζ2+ζ14+ζ26+ζ34+ζ46−ζ58000
χ154-21-1−ζ14−ζ22−ζ38−ζ46−ζ2−ζ14−ζ46−ζ58−ζ22−ζ26−ζ34−ζ38−ζ2−ζ26−ζ34−ζ58ζ2−ζ14+ζ22+ζ38−ζ46+ζ58ζ2+ζ22−ζ26−ζ34+ζ38+ζ58−ζ2+ζ14+ζ26+ζ34+ζ46−ζ58ζ14−ζ22+ζ26+ζ34−ζ38+ζ46000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.