Finite Group Databasebeta

← Group #92016

Character table — Group #92016

Order 480.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222222224444444444444444444444666610101010121212121212121215151515202020203030
order124423455610101212202020206101012151520203030303030306060606060606060224422441010101020202020224466121224
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111-11-111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11-11-11-11-111-1-111-1-111111-11-1-1-1
χ61111-11-111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11-11-1-11-1111-1-111-1-1-1-1-1-1-11-1111
χ71111-11-111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11-111-11-1-1-111-1-111-1-1-1-11-11-111
χ81111-11-111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11-11-11-11-1-111-1-1111111-11-11-1-1
χ911-1-111-111111-1-1-1-1-1-1111-111-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111-1-11-1-111-1
χ1011-1-111-111111-1-1-1-1-1-1111-111-1-1111111-1-1-1-1-1-1-1-11-1-11-111-111-1-1-1-111-1-111-111-1-11
χ1111-1-111-111111-1-1-1-1-1-1111-111-1-1111111-1-1-1-1-1-1-1-1-111-11-1-11-1-11111-1-1-1-1111-1-11-11
χ1211-1-111-111111-1-1-1-1-1-1111-111-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-1-11111-1-111-1-1-111-11-1
χ1311-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-111-1-1-11
χ1411-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ1511-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-11111-1-11-1
χ1611-1-1-11111111-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-111-11
χ172222222−1−52−1+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+520000000000
χ182222222−1−52−1+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+521−520000000000
χ192222222−1+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+52−1−520000000000
χ202222222−1+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+520000000000
χ2122222-1222-122-1-12222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000000000-1-1-1-100
χ2222222-1222-122-1-12222-122-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000111100
χ232222-22-2−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-21+521−52-2−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−522-22-20000−1−52−1+521+521−52−1−52−1+521+521−520000000000
χ242222-22-2−1−52−1+522−1−52−1+5222−1−52−1−52−1+52−1+52-21+521−52-2−1−52−1+521+521−521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52-22-2200001+521−52−1−52−1+521+521−52−1−52−1+520000000000
χ252222-22-2−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-21−521+52-2−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+522-22-20000−1+52−1−521−521+52−1+52−1−521−521+520000000000
χ262222-22-2−1+52−1−522−1+52−1−5222−1+52−1+52−1−52−1−52-21−521+52-2−1+52−1−521−521+521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52-22-2200001−521+52−1+52−1−521−521+52−1+52−1−520000000000
χ272222-2-1-222-122-1-122221-2-21-1-1-2-21111-1-1-1-1-1-1111100002-22-2000000000000-11-1100
χ282222-2-1-222-122-1-122221-2-21-1-1-2-21111-1-1-1-1-1-111110000-22-220000000000001-11-100
χ2922-2-222-2−1−52−1+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+521−521−522-2-220000−1−52−1+521+521−521+521−52−1−52−1+520000000000
χ3022-2-222-2−1−52−1+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+521−521−52-222-200001+521−52−1−52−1+52−1−52−1+521+521−520000000000
χ3122-2-222-2−1+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+522-2-220000−1+52−1−521−521+521−521+52−1+52−1−520000000000
χ3222-2-222-2−1+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+52-222-200001−521+52−1+52−1−52−1+52−1−521−521+520000000000
χ3322-2-22-1-222-12211-2-2-2-2-1221-1-1-2-2-1-1-1-1-1-11111111100002-2-22000000000000-111-100
χ3422-2-22-1-222-12211-2-2-2-2-1221-1-1-2-2-1-1-1-1-1-1111111110000-222-20000000000001-1-1100
χ3522-2-2-222−1−52−1+522−1−52−1+52-2-21+521+521−521−52-21+521−522−1−52−1+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+521−520000000000
χ3622-2-2-222−1−52−1+522−1−52−1+52-2-21+521+521−521−52-21+521−522−1−52−1+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+520000000000
χ3722-2-2-222−1+52−1−522−1+52−1−52-2-21−521−521+521+52-21−521+522−1+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+520000000000
χ3822-2-2-222−1+52−1−522−1+52−1−52-2-21−521−521+521+52-21−521+522−1+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+52−1−520000000000
χ3922-2-2-2-1222-12211-2-2-2-21-2-2-1-1-1221111-1-11111-1-1-1-1000022-2-2000000000000-1-11100
χ4022-2-2-2-1222-12211-2-2-2-21-2-2-1-1-1221111-1-11111-1-1-1-10000-2-22200000000000011-1-100
χ412-22i−2i02022-2-2-22i−2i2i−2i2i−2i000022000000-2-22i−2i2i−2i000000000000000000002-22i−2i000000
χ422-22i−2i02022-2-2-22i−2i2i−2i2i−2i000022000000-2-22i−2i2i−2i00000000000000000000-22−2i2i000000
χ432-2−2i2i02022-2-2-2−2i2i−2i2i−2i2i000022000000-2-2−2i2i−2i2i000000000000000000002-2−2i2i000000
χ442-2−2i2i02022-2-2-2−2i2i−2i2i−2i2i000022000000-2-2−2i2i−2i2i00000000000000000000-222i−2i000000
χ4544444-24−1−5−1+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+521−521−5200000000000000000000000000
χ4644444-24−1+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+5200000000000000000000000000
χ474444-4-2-4−1−5−1+5-2−1−5−1+5-2-2−1−5−1−5−1+5−1+521+51−521+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+5200000000000000000000000000
χ484444-4-2-4−1+5−1−5-2−1+5−1−5-2-2−1+5−1+5−1−5−1−521−51+521−521+521−51+5−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000000000000000
χ4944-4-44-2-4−1−5−1+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+5200000000000000000000000000
χ5044-4-44-2-4−1+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+52−1−52−1−5200000000000000000000000000
χ5144-4-4-4-24−1−5−1+5-2−1−5−1+5221+51+51−51−521+51−5-21+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+521−521−5200000000000000000000000000
χ5244-4-4-4-24−1+5−1−5-2−1+5−1−5221−51−51+51+521−51+5-21−521+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+5200000000000000000000000000
χ534-44i−4i040−1−5−1+5-41+51−54i−4i−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ470000−1−5−1+50000001+51−5−2ζ11−2ζ19−2ζ31−2ζ592ζ11+2ζ19+2ζ31+2ζ59−2ζ7−2ζ23−2ζ43−2ζ472ζ7+2ζ23+2ζ43+2ζ47000000000000000000000000000000
χ544-44i−4i040−1+5−1−5-41−51+54i−4i−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+2ζ59000000000000000000000000000000
χ554-44i−4i0-20442-4-4−2i2i4i−4i4i−4i0000-2-200000022−2i2i−2i2i000000000000000000000000000000
χ564-44i−4i0-20−1−5−1+521+51−5−2i2i−2ζ11−2ζ19−2ζ31−2ζ592ζ11+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−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000
χ574-44i−4i0-20−1−5−1+521+51−5−2i2i−2ζ11−2ζ19−2ζ31−2ζ592ζ11+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+52ζ11+ζ19+ζ31+ζ59−ζ11−ζ19−ζ31−ζ59ζ7+ζ23+ζ43+ζ47−ζ7−ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000000
χ584-44i−4i0-20−1+5−1−521−51+5−2i2i−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−ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000
χ594-44i−4i0-20−1+5−1−521−51+5−2i2i−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−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000
χ604-4−4i4i040−1−5−1+5-41+51−5−4i4i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ470000−1−5−1+50000001+51−52ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+2ζ23+2ζ43+2ζ47−2ζ7−2ζ23−2ζ43−2ζ47000000000000000000000000000000
χ614-4−4i4i040−1+5−1−5-41−51+5−4i4i2ζ7+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+2ζ59−2ζ11−2ζ19−2ζ31−2ζ59000000000000000000000000000000
χ624-4−4i4i0-20442-4-42i−2i−4i4i−4i4i0000-2-2000000222i−2i2i−2i000000000000000000000000000000
χ634-4−4i4i0-20−1−5−1+521+51−52i−2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+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+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ4700000000000000000000000000
χ644-4−4i4i0-20−1−5−1+521+51−52i−2i2ζ11+2ζ19+2ζ31+2ζ59−2ζ11−2ζ19−2ζ31−2ζ592ζ7+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+52−ζ11−ζ19−ζ31−ζ59ζ11+ζ19+ζ31+ζ59−ζ7−ζ23−ζ43−ζ47ζ7+ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ4700000000000000000000000000
χ654-4−4i4i0-20−1+5−1−521−51+52i−2i2ζ7+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+ζ59ζ7+ζ23−ζ43−ζ47−ζ7−ζ23+ζ43+ζ47ζ11+ζ19−ζ31−ζ59−ζ11−ζ19+ζ31+ζ5900000000000000000000000000
χ664-4−4i4i0-20−1+5−1−521−51+52i−2i2ζ7+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+ζ59−ζ7−ζ23+ζ43+ζ47ζ7+ζ23−ζ43−ζ47−ζ11−ζ19+ζ31+ζ59ζ11+ζ19−ζ31−ζ5900000000000000000000000000

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