Finite Group Databasebeta

← Group #92017

Character table — Group #92017

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222222222222222444444444444444444444466661010101012121212121212122020202030303030
order122344556661010202020201010121215152020303030303030606060606060606022442222101010102020202066662244
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
χ51111-1-11111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111-1-11-11-1
χ61111-1-11111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-111-11-11
χ71111-1-11111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-11111-1-1-11-11
χ81111-1-11111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1111-11-1
χ911-111-111-1-11111111-1-11-111-1-1-1-1-1-1111111-1-1-1-11-1-111-11-111-1-1-1-1111-11-111-1-1
χ1011-111-111-1-11111111-1-11-111-1-1-1-1-1-1111111-1-1-1-11-1-11-11-1111-1-1-1-111-11-11-1-111
χ1111-111-111-1-11111111-1-11-111-1-1-1-1-1-1111111-1-1-1-1-111-11-11-1-1-11111-1-11-11-1-1-111
χ1211-111-111-1-11111111-1-11-111-1-1-1-1-1-1111111-1-1-1-1-111-1-11-11-1-11111-1-1-11-1111-1-1
χ1311-11-1111-1-1111-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-11-1-111111-1-1-1-11-1-111-1-11
χ1411-11-1111-1-1111-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-111-11111-1-1-1-1-111-1-111-1
χ1511-11-1111-1-1111-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1111-1-11-1-1-1-111111-1-11-111-1
χ1611-11-1111-1-1111-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-111-111-1-1-1-1-11111-111-11-1-11
χ17222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+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+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+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+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222−1+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+52222−1−52−1+521+521+521−521−52−1−52−1+52-2-2−1−52−1+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+52222−1−52−1+521+521+521−521−52−1−52−1+52-2-2−1−52−1+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+52−1−52222−1+52−1−521−521−521+521+52−1+52−1−52-2-2−1+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+52−1−52222−1+52−1−521−521−521+521+52−1+52−1−52-2-2−1+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
χ25222-12222-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-10000
χ26222-12222-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000011110000
χ27222-1-2-222-1-1-122-2-2-2-22211-1-1-2-2-1-1-1-1-1-111111111000022-2-200000000-1-1110000
χ28222-1-2-222-1-1-122-2-2-2-22211-1-1-2-2-1-1-1-1-1-1111111110000-2-2220000000011-1-10000
χ2922-222-2−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−522-2−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-2-220000−1−52−1+521+521−521+521−52−1−52−1+5200000000
χ3022-222-2−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−522-2−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-222-200001+521−52−1−52−1+52−1−52−1+521+521−5200000000
χ3122-222-2−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+522-2−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-2-220000−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ3222-222-2−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+522-2−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-222-200001−521+52−1+52−1−52−1+52−1−521−521+5200000000
χ3322-22-22−1−52−1+52-2-22−1−52−1+521+521+521−521−521+521−52-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5222-2-20000−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ3422-22-22−1−52−1+52-2-22−1−52−1+521+521+521−521−521+521−52-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52-2-22200001+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ3522-22-22−1+52−1−52-2-22−1+52−1−521−521−521+521+521−521+52-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5222-2-20000−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ3622-22-22−1+52−1−52-2-22−1+52−1−521−521−521+521+521−521+52-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52-2-22200001−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ3722-2-12-22211-1222222-2-2-11-1-1-2-21111-1-1-1-1-1-1111100002-22-200000000-11-110000
χ3822-2-12-22211-1222222-2-2-11-1-1-2-21111-1-1-1-1-1-111110000-22-22000000001-11-10000
χ3922-2-1-222211-122-2-2-2-2-2-21-1-1-1221111-1-11111-1-1-1-100002-2-2200000000-111-10000
χ4022-2-1-222211-122-2-2-2-2-2-21-1-1-1221111-1-11111-1-1-1-10000-222-2000000001-1-110000
χ41444-244−1−5−1+5-2-2-2−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−52−1−5−1+51+521+521−521−521+521−521+521+521−521−521+521+521−521−52000000000000000000000000
χ42444-244−1+5−1−5-2-2-2−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-2-21−521+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+5-2-2-2−1−5−1+51+51+51−51−5−1−5−1+5221+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+5−1−5-2-2-2−1+5−1−51−51−51+51+5−1+5−1−5221−521+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+522-2−1−5−1+5−1−5−1−5−1+5−1+51+51−5-221+521−521+51−5−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000000000
χ4644-4-24-4−1+5−1−522-2−1+5−1−5−1+5−1+5−1−5−1−51−51+5-221−521+521−51+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+522-2−1−5−1+51+51+51−51−51+51−52-21+521−52−1−5−1+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+5−1−522-2−1+5−1−51−51−51+51+51−51+52-21−521+52−1+5−1−5−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000000000
χ494-404004400-4-4-40000000044000000-4-400000000000000000000000000000000
χ504-40400−1−5−1+500-41+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000−1−5−1+50000001+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ470000000000000000000000000000
χ514-40400−1−5−1+500-41+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000−1−5−1+50000001+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ470000000000000000000000000000
χ524-40400−1+5−1−500-41−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000−1+5−1−50000001−51+52ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ472ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ590000000000000000000000000000
χ534-40400−1+5−1−500-41−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000−1+5−1−50000001−51+5−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ47−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ590000000000000000000000000000
χ544-40-20044−2i32i32-4-400000000-2-200−2i32i3−2i32i32200000000000000000000000000000000
χ554-40-200442i3−2i32-4-400000000-2-2002i3−2i32i3−2i32200000000000000000000000000000000
χ564-40-200−1−5−1+5−2i32i321+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700001+521−5200ζ14+ζ26−ζ34−ζ46−ζ14−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
χ574-40-200−1−5−1+5−2i32i321+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700001+521−5200ζ14+ζ26−ζ34−ζ46−ζ14−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+52i3−2i321+51−5−2ζ11+2ζ19−2ζ31+2ζ592ζ11−2ζ19+2ζ31−2ζ592ζ7−2ζ23−2ζ43+2ζ47−2ζ7+2ζ23+2ζ43−2ζ4700001+521−5200−ζ14−ζ26+ζ34+ζ46ζ14+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
χ594-40-200−1−5−1+52i3−2i321+51−52ζ11−2ζ19+2ζ31−2ζ59−2ζ11+2ζ19−2ζ31+2ζ59−2ζ7+2ζ23+2ζ43−2ζ472ζ7−2ζ23−2ζ43+2ζ4700001+521−5200−ζ14−ζ26+ζ34+ζ46ζ14+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
χ604-40-200−1+5−1−5−2i32i321−51+52ζ7−2ζ23−2ζ43+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+52−1−52−ζ7+ζ23+ζ43−ζ47ζ7−ζ23−ζ43+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59000000000000000000000000
χ614-40-200−1+5−1−5−2i32i321−51+5−2ζ7+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+52−1−52ζ7−ζ23−ζ43+ζ47−ζ7+ζ23+ζ43−ζ47ζ11−ζ19+ζ31−ζ59−ζ11+ζ19−ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000
χ624-40-200−1+5−1−52i3−2i321−51+52ζ7−2ζ23−2ζ43+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+ζ47−ζ11+ζ19−ζ31+ζ59ζ11−ζ19+ζ31−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59000000000000000000000000
χ634-40-200−1+5−1−52i3−2i321−51+5−2ζ7+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−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); i = ζ15.