Finite Group Databasebeta

← Group #92001

Character table — Group #92001

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222222222222222444444444444444444444466661010101012121212121212122020202030303030
order122344556101012122020202061010121515202030303030303060606060606060602244224410101010202020206612124444
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-111111-1-1-1-1-1-1111-111-1-1111111-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-11-11-111-1-1
χ61111-1-111111-1-1-1-1-1-1111-111-1-1111111-1-1-1-1-1-1-1-11-11-1-11-1111-1-111-1-1-11-11-1-111
χ71111-1-111111-1-1-1-1-1-1111-111-1-1111111-1-1-1-1-1-1-1-1-11-111-11-1-1-111-1-1111-11-1-1-111
χ81111-1-111111-1-1-1-1-1-1111-111-1-1111111-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-111-11-1111-1-1
χ911-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11-1-111111-1-1-1-11-1-111-11-1
χ1011-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-111-11111-1-1-1-1-111-1-11-11
χ1111-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111-1-11-1-1-1-111111-1-11-11-11
χ1211-111-11111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-111-1-1-1-1-11111-111-11-11-1
χ1311-11-1111111-1-11111-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-1-1-11111-1-11-1-11
χ1411-11-1111111-1-11111-1-1-1111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1-1-111-1-111-111-1
χ1511-11-1111111-1-11111-1-1-1111-1-1-1-1-1-111-1-1-1-11111-111-111-1-1-1-11111-1-111-1-1-111-1
χ1611-11-1111111-1-11111-1-1-1111-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-11111-1-1-1-1111-1-11
χ17222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+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+5222220000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ18222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+522−1−52−1+522−1−52−1+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+52-2-2-2-200001+521−521+521−521+521−521+521−5200000000
χ19222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1−522−1+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+52−1−52−1−5222220000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ20222222−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−522−1+52−1−522−1+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+52−1−52−1−52-2-2-2-200001−521+521−521+521−521+521−521+5200000000
χ212222-2-2−1−52−1+522−1−52−1+52-2-21+521+521−521−522−1−52−1+52-2−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−522-22-20000−1−52−1+521+521−52−1−52−1+521+521−5200000000
χ222222-2-2−1−52−1+522−1−52−1+52-2-21+521+521−521−522−1−52−1+52-2−1−52−1+521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-22-2200001+521−52−1−52−1+521+521−52−1−52−1+5200000000
χ232222-2-2−1+52−1−522−1+52−1−52-2-21−521−521+521+522−1+52−1−52-2−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+5200000000
χ242222-2-2−1+52−1−522−1+52−1−52-2-21−521−521+521+522−1+52−1−52-2−1+52−1−521−521+52−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+521−521−521+521+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ25222-12222-122-1-12222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-10000
χ26222-12222-122-1-12222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011110000
χ27222-1-2-222-12211-2-2-2-2-1221-1-1-2-2-1-1-1-1-1-11111111100002-22-200000000-11-110000
χ28222-1-2-222-12211-2-2-2-2-1221-1-1-2-2-1-1-1-1-1-1111111110000-22-22000000001-11-10000
χ2922-222-2−1−52−1+522−1−52−1+52221+521+521−521−52-21+521−52-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5222-2-20000−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ3022-222-2−1−52−1+522−1−52−1+52221+521+521−521−52-21+521−52-2−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-2-22200001+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ3122-222-2−1+52−1−522−1+52−1−52221−521−521+521+52-21−521+52-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5222-2-20000−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ3222-222-2−1+52−1−522−1+52−1−52221−521−521+521+52-21−521+52-2−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-2-22200001−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ3322-22-22−1−52−1+522−1−52−1+52-2-2−1−52−1−52−1+52−1+52-21+521−522−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+522-2-220000−1−52−1+521+521−521+521−52−1−52−1+5200000000
χ3422-22-22−1−52−1+522−1−52−1+52-2-2−1−52−1−52−1+52−1+52-21+521−522−1−52−1+521+521−521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-222-200001+521−52−1−52−1+52−1−52−1+521+521−5200000000
χ3522-22-22−1+52−1−522−1+52−1−52-2-2−1+52−1+52−1−52−1−52-21−521+522−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−522-2-220000−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ3622-22-22−1+52−1−522−1+52−1−52-2-2−1+52−1+52−1−52−1−52-21−521+522−1+52−1−521−521+521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-222-200001−521+52−1+52−1−52−1+52−1−521−521+5200000000
χ3722-2-12-222-122-1-1-2-2-2-21-2-21-1-1221111-1-1-1-1-1-1111100002-2-2200000000-111-10000
χ3822-2-12-222-122-1-1-2-2-2-21-2-21-1-1221111-1-1-1-1-1-111110000-222-2000000001-1-110000
χ3922-2-1-2222-1221122221-2-2-1-1-1-2-21111-1-11111-1-1-1-1000022-2-200000000-1-1110000
χ4022-2-1-2222-1221122221-2-2-1-1-1-2-21111-1-11111-1-1-1-10000-2-2220000000011-1-10000
χ41444-244−1−5−1+5-2−1−5−1+5-2-2−1−5−1−5−1+5−1+5-2−1−5−1+5-21+521−52−1−5−1+51+521+521−521−521+521−521+521+521−521−521+521+521−521−52000000000000000000000000
χ42444-244−1+5−1−5-2−1+5−1−5-2-2−1+5−1+5−1−5−1−5-2−1+5−1−5-21−521+52−1+5−1−51−521−521+521+521−521+521−521−521+521+521−521−521+521+52000000000000000000000000
χ43444-2-4-4−1−5−1+5-2−1−5−1+5221+51+51−51−5-2−1−5−1+521+521−521+51−51+521+521−521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000000000
χ44444-2-4-4−1+5−1−5-2−1+5−1−5221−51−51+51+5-2−1+5−1−521−521+521−51+51−521−521+521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000
χ4544-4-24-4−1−5−1+5-2−1−5−1+5-2-21+51+51−51−521+51−521+521−52−1−5−1+5−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000
χ4644-4-24-4−1+5−1−5-2−1+5−1−5-2-21−51−51+51+521−51+521−521+52−1+5−1−5−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000000000
χ4744-4-2-44−1−5−1+5-2−1−5−1+522−1−5−1−5−1+5−1+521+51−5-21+521−521+51−5−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000000000
χ4844-4-2-44−1+5−1−5-2−1+5−1−522−1+5−1+5−1−5−1−521−51+5-21−521+521−51+5−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000
χ494-4040044-4-4-4000000000044000000-4-400000000000000000000000000000000
χ504-40400−1−5−1+5-41+51−500−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000−1−5−1+50000001+51−50000−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ47000000000000000000000000
χ514-40400−1−5−1+5-41+51−5002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000−1−5−1+50000001+51−500002ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47000000000000000000000000
χ524-40400−1+5−1−5-41−51+5002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000−1+5−1−50000001−51+500002ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59000000000000000000000000
χ534-40400−1+5−1−5-41−51+500−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000−1+5−1−50000001−51+50000−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ59000000000000000000000000
χ544-40-200442-4-423−2300000000-2-20000002223−2323−230000000000000000000000000000
χ554-40-200442-4-4−232300000000-2-200000022−2323−23230000000000000000000000000000
χ564-40-200−1−5−1+521+51−523−23−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700001+521−5200ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−1−52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000000000
χ574-40-200−1−5−1+521+51−523−232ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700001+521−5200−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−1−52−1+52−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000000000
χ584-40-200−1−5−1+521+51−5−2323−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700001+521−5200−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58−1−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47000000000000000000000000
χ594-40-200−1−5−1+521+51−5−23232ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700001+521−5200ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−1−52−1+52ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47000000000000000000000000
χ604-40-200−1+5−1−521−51+523−232ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900001−521+5200ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−1+52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000000000
χ614-40-200−1+5−1−521−51+523−23−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900001−521+5200−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−1+52−1−52ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000000000
χ624-40-200−1+5−1−521−51+5−23232ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ5900001−521+5200−ζ2+ζ22+ζ38−ζ58ζ2−ζ22−ζ38+ζ58−ζ14+ζ26+ζ34−ζ46ζ14−ζ26−ζ34+ζ46−1+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59000000000000000000000000
χ634-40-200−1+5−1−521−51+5−2323−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ5900001−521+5200ζ2−ζ22−ζ38+ζ58−ζ2+ζ22+ζ38−ζ58ζ14−ζ26−ζ34+ζ46−ζ14+ζ26+ζ34−ζ46−1+52−1−52−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59000000000000000000000000

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