Finite Group Databasebeta

← Group #91188

Character table — Group #91188

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32
size133333161626666632322666663232515151515158080
order1244443351020202020151551020202020151522444466
χ111111111111111111111111111111111
χ2111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32
χ3111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32
χ433-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100
χ53-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00
χ63-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00
χ73-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100
χ83-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100
χ9111111111111111111111111-1-1-1-1-1-1-1-1
χ10111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32
χ11111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32
χ1233-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100
χ133-111−1+2i−1−2i003-111−1+2i−1−2i003-111−1+2i−1−2i00-31-1-11−2i1+2i00
χ143-111−1−2i−1+2i003-111−1−2i−1+2i003-111−1−2i−1+2i00-31-1-11+2i1−2i00
χ153-1−1+2i−1−2i11003-1−1+2i−1−2i11003-1−1+2i−1−2i1100-311−2i1+2i-1-100
χ163-1−1−2i−1+2i11003-1−1−2i−1+2i11003-1−1−2i−1+2i1100-311+2i1−2i-1-100
χ1722222222−1+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
χ18222222−1−i3−1+i3−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ38−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ2600000000
χ19222222−1+i3−1−i3−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ58−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ4600000000
χ2066-2-2-2-200−3+352−3+3521−521−521−521−5200−3−352−3−3521+521+521+521+520000000000
χ216-222−2+4i−2−4i00−3+3521−52−1+52−1+52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ5800−3−3521+52−1−52−1−52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ590000000000
χ226-222−2−4i−2+4i00−3+3521−52−1+52−1+52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ5800−3−3521+52−1−52−1−522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ590000000000
χ236-2−2+4i−2−4i2200−3+3521−52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−1+52−1+5200−3−3521+52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−1−52−1−520000000000
χ246-2−2−4i−2+4i2200−3+3521−52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−1+52−1+5200−3−3521+522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ59−1−52−1−520000000000
χ2522222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000
χ26222222−1−i3−1+i3−1−52−1−52−1−52−1−52−1−52−1−52−ζ34−ζ46−ζ14−ζ26−1+52−1+52−1+52−1+52−1+52−1+52−ζ22−ζ58−ζ2−ζ3800000000
χ27222222−1+i3−1−i3−1−52−1−52−1−52−1−52−1−52−1−52−ζ14−ζ26−ζ34−ζ46−1+52−1+52−1+52−1+52−1+52−1+52−ζ2−ζ38−ζ22−ζ5800000000
χ2866-2-2-2-200−3−352−3−3521+521+521+521+5200−3+352−3+3521−521−521−521−520000000000
χ296-222−2+4i−2−4i00−3−3521+52−1−52−1−52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ5900−3+3521−52−1+52−1+52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ580000000000
χ306-222−2−4i−2+4i00−3−3521+52−1−52−1−522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ5900−3+3521−52−1+52−1+52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ580000000000
χ316-2−2+4i−2−4i2200−3−3521+52−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ592ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−1−52−1−5200−3+3521−52−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−1+52−1+520000000000
χ326-2−2−4i−2+4i2200−3−3521+522ζ11−ζ14+2ζ19−ζ26+2ζ31−ζ34−ζ46+2ζ59−2ζ11−ζ14−2ζ19−ζ26−2ζ31−ζ34−ζ46−2ζ59−1−52−1−5200−3+3521−52−ζ2+2ζ7−ζ22+2ζ23−ζ38+2ζ43+2ζ47−ζ58−ζ2−2ζ7−ζ22−2ζ23−ζ38−2ζ43−2ζ47−ζ58−1+52−1+520000000000

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