Finite Group Databasebeta

← Group #10613045

Character table — Group #10613045

Order 640.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70
size11112222222222224444444444444888888888888888888888810101010101016161616202020202040404040
order1222224455101010101010488881010101020202020244420202020202020202020404040404040404044444410102020488882444
χ11111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111-1-1
χ611111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111
χ711111111111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-111
χ811111111111111111-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ91111-1-11111111111-111-1-1-1-1-1-111111-11-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1-11-11-1
χ101111-1-11111111111-111-1-1-1-1-1-111111-11-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11-1-111-11-11
χ111111-1-11111111111-111-1-1-1-1-1-11111-11-11-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-111-1-1-11-11
χ121111-1-11111111111-111-1-1-1-1-1-11111-11-11-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111-1-1111-11-1
χ131111-1-11111111111-1-1-111-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1111-1-11
χ141111-1-11111111111-1-1-111-1-1-1-111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1111-1-1-111-1
χ151111-1-11111111111-1-1-111-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-111-111-1
χ161111-1-11111111111-1-1-111-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111-1-11-1-11
χ1722222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−52−1+52−1−52000000000
χ1822222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+521−521+52000000000
χ1922222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+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+521−521−521+521+521−521−521+521+52000000−1+52−1−52−1+52−1−52000000000
χ2022222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000001−521+521−521+52000000000
χ2122222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+52−1−52−1+52000000000
χ2222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−521+521−52000000000
χ2322222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222-2-2−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000−1−52−1+52−1−52−1+52000000000
χ2422222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000001+521−521+521−52000000000
χ25222222-2-222222222-200002222-2-2-2-20000-2-200000000000000002222-2-20000-200000000
χ26222222-2-222222222-200002222-2-2-2-20000-2-20000000000000000-2-2-2-2220000200000000
χ272222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-21−521−521+521+52−1+52−1+52−1−52−1−522-22-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−521−521+52000000000
χ282222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-222-2-21−521−521+521+52−1+52−1+52−1−52−1−52-22-221−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000001−521+52−1+52−1−52000000000
χ292222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−522-2-221−521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−521−521+52000000000
χ302222-2-222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2221−521−521+521+52−1+52−1+52−1−52−1−52-222-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000001−521+52−1+52−1−52000000000
χ312222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-21+521+521−521−52−1−52−1−52−1+52−1+522-22-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+521+521−52000000000
χ322222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-222-2-21+521+521−521−52−1−52−1−52−1+52−1+52-22-221+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000001+521−52−1−52−1+52000000000
χ332222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2221+521+521−521−52−1−52−1−52−1+52−1+522-2-221+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+521+521−52000000000
χ342222-2-222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2221+521+521−521−52−1−52−1−52−1+52−1+52-222-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000001+521−52−1−52−1+52000000000
χ352222-2-2-2-22222222220000-2-2-2-2-2-2-2-2000022000000000000000022-2-2-2-20000200000000
χ362222-2-2-2-22222222220000-2-2-2-2-2-2-2-20000220000000000000000-2-222220000-200000000
χ372-22-22-200222-22-2-2-20i2−i2i2−i22-22-2000000000000000000i2−i2i2−i2i2−i2i2−i22-22-20000000i2−i2i2−i20000
χ382-22-22-200222-22-2-2-20i2−i2i2−i22-22-2000000000000000000i2−i2i2−i2i2−i2i2−i2-22-220000000−i2i2−i2i20000
χ392-22-22-200222-22-2-2-20−i2i2−i2i22-22-2000000000000000000−i2i2−i2i2−i2i2−i2i22-22-20000000−i2i2−i2i20000
χ402-22-22-200222-22-2-2-20−i2i2−i2i22-22-2000000000000000000−i2i2−i2i2−i2i2−i2i2-22-220000000i2−i2i2−i20000
χ412-22-2-2200222-22-2-2-20i2−i2−i2i2-22-22000000000000000000i2−i2i2−i2−i2i2−i2i22-2-220000000i2−i2−i2i20000
χ422-22-2-2200222-22-2-2-20i2−i2−i2i2-22-22000000000000000000i2−i2i2−i2−i2i2−i2i2-222-20000000−i2i2i2−i20000
χ432-22-2-2200222-22-2-2-20−i2i2i2−i2-22-22000000000000000000−i2i2−i2i2i2−i2i2−i22-2-220000000−i2i2i2−i20000
χ442-22-2-2200222-22-2-2-20−i2i2i2−i2-22-22000000000000000000−i2i2−i2i2i2−i2i2−i2-222-20000000i2−i2−i2i20000
χ45444444-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5-40000−1+5−1+5−1−5−1−51−51−51+51+500001−51+500000000000000000000000000000000000
χ46444444-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5-40000−1−5−1−5−1+5−1+51+51+51−51−500001+51−500000000000000000000000000000000000
χ474444-4-4-4-4−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−5400001−51−51+51+51−51−51+51+50000−1+5−1−500000000000000000000000000000000000
χ484444-4-4-4-4−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+5400001+51+51−51−51+51+51−51−50000−1−5−1+500000000000000000000000000000000000
χ4944-4-4004-444-44-44-4-40000000004-44-400000000000000000000000000000000000000000
χ5044-4-4004-4−1+5−1−51−5−1+51+5−1−51−51+5000000000−1+51−5−1−51+50000000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ14000000000000000000000000000
χ5144-4-4004-4−1+5−1−51−5−1+51+5−1−51−51+5000000000−1+51−5−1−51+500000000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ14000000000000000000000000000
χ5244-4-4004-4−1−5−1+51+5−1−51−5−1+51+51−5000000000−1−51+5−1+51−500000000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ38000000000000000000000000000
χ5344-4-4004-4−1−5−1+51+5−1−51−5−1+51+51−5000000000−1−51+5−1+51−50000000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ38000000000000000000000000000
χ5444-4-400-4444-44-44-4-4000000000-44-4400000000000000000000000000000000000000000
χ5544-4-400-44−1+5−1−51−5−1+51+5−1−51−51+50000000001−5−1+51+5−1−5000000−2ζ22+2ζ382ζ22−2ζ382ζ6−2ζ14−2ζ6+2ζ140000000000000000000000000000000
χ5644-4-400-44−1+5−1−51−5−1+51+5−1−51−51+50000000001−5−1+51+5−1−50000002ζ22−2ζ38−2ζ22+2ζ38−2ζ6+2ζ142ζ6−2ζ140000000000000000000000000000000
χ5744-4-400-44−1−5−1+51+5−1−51−5−1+51+51−50000000001+5−1−51−5−1+50000002ζ6−2ζ14−2ζ6+2ζ142ζ22−2ζ38−2ζ22+2ζ380000000000000000000000000000000
χ5844-4-400-44−1−5−1+51+5−1−51−5−1+51+51−50000000001+5−1−51−5−1+5000000−2ζ6+2ζ142ζ6−2ζ14−2ζ22+2ζ382ζ22−2ζ380000000000000000000000000000000
χ594-44-44-400−1+5−1−5−1+51−5−1−51+51−51+502i2−2i22i2−2i2−1+51−5−1−51+5000000000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000
χ604-44-44-400−1+5−1−5−1+51−5−1−51+51−51+50−2i22i2−2i22i2−1+51−5−1−51+5000000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000000000000
χ614-44-44-400−1−5−1+5−1−51+5−1+51−51+51−502i2−2i22i2−2i2−1−51+5−1+51−5000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000
χ624-44-44-400−1−5−1+5−1−51+5−1+51−51+51−50−2i22i2−2i22i2−1−51+5−1+51−5000000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000
χ634-44-4-4400−1+5−1−5−1+51−5−1−51+51−51+502i2−2i2−2i22i21−5−1+51+5−1−5000000000000000000ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ390000000000000000000
χ644-44-4-4400−1+5−1−5−1+51−5−1−51+51−51+50−2i22i22i2−2i21−5−1+51+5−1−5000000000000000000−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ390000000000000000000
χ654-44-4-4400−1−5−1+5−1−51+5−1+51−51+51−502i2−2i2−2i22i21+5−1−51−5−1+5000000000000000000ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ37−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ370000000000000000000
χ664-44-4-4400−1−5−1+5−1−51+5−1+51−51+51−50−2i22i22i2−2i21+5−1−51−5−1+5000000000000000000−ζ21−ζ29−ζ31−ζ39ζ21+ζ29+ζ31+ζ39−ζ7−ζ13−ζ23−ζ37ζ7+ζ13+ζ23+ζ37ζ21+ζ29+ζ31+ζ39−ζ21−ζ29−ζ31−ζ39ζ7+ζ13+ζ23+ζ37−ζ7−ζ13−ζ23−ζ370000000000000000000
χ674-4-44000044-4-4-4-4440000000000000000000000000000000000000004-40000000000000
χ684-4-44000044-4-4-4-444000000000000000000000000000000000000000-440000000000000
χ698-8-880000−2+25−2−252−252−252+252+25−2+25−2−25000000000000000000000000000000000000000000000000000000
χ708-8-880000−2−25−2+252+252+252−252−25−2−25−2+25000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.