Finite Group Databasebeta

← Group #10613771

Character table — Group #10613771

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1122222222244444444444444488888888888888101010101010101016161616161616162020202040404040
order12244558810108101016161616202020204040404024444040808080808080808022441616161610102020202020208816162224
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ811111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ911-1-11111111-1-1-111-1-1-1-11111111-11-1-1-11111-1-1-1-11-11-1111111-1-111-1-11-1-1-11-1-11
χ1011-1-11111111-1-1-111-1-1-1-11111111-11-1-1-11111-1-1-1-1-11-11-1-1-1-111-1-111-1-1-1111-111-1
χ1111-1-11111111-1-1-111-1-1-1-1111111-11-11-1-11111-1-1-1-11-11-11111-1-111-1-1111-1-1-1-111-1
χ1211-1-11111111-1-1-111-1-1-1-1111111-11-11-1-11111-1-1-1-1-11-11-1-1-1-1-1-111-1-111-11111-1-11
χ1311-1-11111111-1-1-1-1-111-1-11111111-1-11-1-1-1-1-1-111111-11-1-1-1-1-111-1-1-1-1111-1111-11-1
χ1411-1-11111111-1-1-1-1-111-1-11111111-1-11-1-1-1-1-1-11111-11-11111111-1-1-1-111-11-1-1-11-11
χ1511-1-11111111-1-1-1-1-111-1-1111111-111-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-11111-1-11-111-11-11
χ1611-1-11111111-1-1-1-1-111-1-1111111-111-1-1-1-1-1-1-11111-11-111111-1-11111-1-1-11-1-11-11-1
χ172222222-2-222-22200002222-2-2-2-20000-2-2000000002222000000000000-2-2000000
χ182222222-2-222-22200002222-2-2-2-20000-2-200000000-2-2-2-200000000000022000000
χ1922222−1+52−1−5222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000000
χ2022222−1+52−1−5222−1+52−1−522−1+52−1−522222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+5200000000
χ2122222−1+52−1−5222−1+52−1−522−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2-2−1+52−1−521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−521−521+521−521+5200000000
χ2222222−1+52−1−5222−1+52−1−522−1+52−1−52-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−521−521−521+521+521−521−521+521+52000000001−521+521−521+52−1+52−1−52−1+52−1−5200000000
χ2322222−1−52−1+5222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000
χ2422222−1−52−1+5222−1−52−1+522−1−52−1+522222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−5200000000
χ2522222−1−52−1+5222−1−52−1+522−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+521+521−521+521−5200000000
χ2622222−1−52−1+5222−1−52−1+522−1−52−1+52-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+521+521+521−521−521+521+521−521−52000000001+521−521+521−52−1−52−1+52−1−52−1+5200000000
χ27222-2-22200220222−22−2-2-2-2-200000000002−22−22−22−22-2-2222−2−200000000002−20000
χ28222-2-22200220222−22−2-2-2-2-200000000002−22−22−22−2-222-2−2−2220000000000−220000
χ29222-2-2220022022−22−22-2-2-2-20000000000−22−22−22−222-2-22−2−2220000000000−220000
χ30222-2-2220022022−22−22-2-2-2-20000000000−22−22−22−22-222-222−2−200000000002−20000
χ3122-22-22200220-2-22−2−2222-2-200000000002−22−2−22−2222-2-222−2−20000000000−220000
χ3222-22-22200220-2-22−2−2222-2-200000000002−22−2−22−22-2-222−2−22200000000002−20000
χ3322-22-22200220-2-2−222−222-2-20000000000−22−222−22−222-2-2−2−22200000000002−20000
χ3422-22-22200220-2-2−222−222-2-20000000000−22−222−22−2-2-22222−2−20000000000−220000
χ3522-2-2222-2-2222-2-20000-2-222-2-2-2-2000022000000002-22-2000000000000-22000000
χ3622-2-2222-2-2222-2-20000-2-222-2-2-2-200002200000000-22-220000000000002-2000000
χ3722-2-22−1+52−1−5222−1+52−1−52-21−521+5222-2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−522-22-21−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52−1+52−1−521−521+5200000000
χ3822-2-22−1+52−1−5222−1+52−1−52-21−521+5222-2-21−521+52−1+52−1−52−1+52−1+52−1−52−1−52-22-221−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000001−521+52−1+52−1−521−521+52−1+52−1−5200000000
χ3922-2-22−1+52−1−5222−1+52−1−52-21−521+52-2-2221−521+52−1+52−1−52−1+52−1+52−1−52−1−522-2-221−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000−1+52−1−521−521+521−521+52−1+52−1−5200000000
χ4022-2-22−1+52−1−5222−1+52−1−52-21−521+52-2-2221−521+52−1+52−1−52−1+52−1+52−1−52−1−52-222-21−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000001−521+52−1+52−1−52−1+52−1−521−521+5200000000
χ4122-2-22−1−52−1+5222−1−52−1+52-21+521−5222-2-21+521−52−1−52−1+52−1−52−1−52−1+52−1+522-22-21+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52−1−52−1+521+521−5200000000
χ4222-2-22−1−52−1+5222−1−52−1+52-21+521−5222-2-21+521−52−1−52−1+52−1−52−1−52−1+52−1+52-22-221+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+521+521−52−1−52−1+5200000000
χ4322-2-22−1−52−1+5222−1−52−1+52-21+521−52-2-2221+521−52−1−52−1+52−1−52−1−52−1+52−1+522-2-221+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−521+521−52−1−52−1+5200000000
χ4422-2-22−1−52−1+5222−1−52−1+52-21+521−52-2-2221+521−52−1−52−1+52−1−52−1−52−1+52−1+52-222-21+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52−1−52−1+521+521−5200000000
χ4544444−1+5−1−5-4-4−1+5−1−5-4−1+5−1−50000−1+5−1−5−1+5−1−51−51−51+51+500001−51+500000000000000000000000000000000
χ4644444−1−5−1+5-4-4−1−5−1+5-4−1−5−1+50000−1−5−1+5−1−5−1+51+51+51−51−500001+51−500000000000000000000000000000000
χ47444-4-4−1+5−1−500−1+5−1−50−1+5−1−522−2222−221−51+51−51+50000000000−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78000000000000000000000000
χ48444-4-4−1+5−1−500−1+5−1−50−1+5−1−5−2222−22221−51+51−51+50000000000ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78000000000000000000000000
χ49444-4-4−1−5−1+500−1−5−1+50−1−5−1+522−2222−221+51−51+51−50000000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74000000000000000000000000
χ50444-4-4−1−5−1+500−1−5−1+50−1−5−1+5−2222−22221+51−51+51−50000000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74000000000000000000000000
χ5144-44-4−1+5−1−500−1+5−1−501−51+522−22−2222−1+5−1−51−51+50000000000−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78000000000000000000000000
χ5244-44-4−1+5−1−500−1+5−1−501−51+5−222222−22−1+5−1−51−51+50000000000ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78000000000000000000000000
χ5344-44-4−1−5−1+500−1−5−1+501+51−522−22−2222−1−5−1+51+51−50000000000ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74000000000000000000000000
χ5444-44-4−1−5−1+500−1−5−1+501+51−5−222222−22−1−5−1+51+51−50000000000−ζ42−ζ58+ζ62+ζ78ζ42+ζ58−ζ62−ζ78ζ14−ζ26+ζ46−ζ74−ζ14+ζ26−ζ46+ζ74ζ42+ζ58−ζ62−ζ78−ζ42−ζ58+ζ62+ζ78−ζ14+ζ26−ζ46+ζ74ζ14−ζ26+ζ46−ζ74000000000000000000000000
χ5544-4-44−1+5−1−5-4-4−1+5−1−541−51+500001−51+5−1+5−1−51−51−51+51+50000−1+5−1−500000000000000000000000000000000
χ5644-4-44−1−5−1+5-4-4−1−5−1+541+51−500001+51−5−1−5−1+51+51+51−51−50000−1−5−1+500000000000000000000000000000000
χ574-40004422−22-4-40000000000022−2222−22000000000000000000−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ790000000000000000
χ584-40004422−22-4-40000000000022−2222−220000000000000000002ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ790000000000000000
χ594-400044−2222-4-400000000000−2222−2222000000000000000000−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ792ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ792ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ77−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ770000000000000000
χ604-400044−2222-4-400000000000−2222−22220000000000000000002ζ9+2ζ31+2ζ41+2ζ47+2ζ57+2ζ63+2ζ73+2ζ79−2ζ9−2ζ31−2ζ41−2ζ47−2ζ57−2ζ63−2ζ73−2ζ79−2ζ11−2ζ13−2ζ27−2ζ29−2ζ43−2ζ59−2ζ61−2ζ772ζ11+2ζ13+2ζ27+2ζ29+2ζ43+2ζ59+2ζ61+2ζ770000000000000000
χ618-8000−2+25−2−2542−422−252+2500000000000−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ742ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ7800000000000000000000000000000000000000
χ628-8000−2+25−2−25−42422−252+25000000000002ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ74−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ7800000000000000000000000000000000000000
χ638-8000−2−25−2+2542−422+252−25000000000002ζ42+2ζ58−2ζ62−2ζ78−2ζ42−2ζ58+2ζ62+2ζ78−2ζ14+2ζ26−2ζ46+2ζ742ζ14−2ζ26+2ζ46−2ζ7400000000000000000000000000000000000000
χ648-8000−2−25−2+25−42422+252−2500000000000−2ζ42−2ζ58+2ζ62+2ζ782ζ42+2ζ58−2ζ62−2ζ782ζ14−2ζ26+2ζ46−2ζ74−2ζ14+2ζ26−2ζ46+2ζ7400000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 80 (ζ80 = 1).