Finite Group Databasebeta

← Group #13104320

Character table — Group #13104320

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11244444444488888888881010161616161620202020202020202025254040404040404040404040508080100100100200
order12425555101010105101010101020202020221010101020224881010101022210101010202040404040410102884
χ11111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111-1111111-1-1-1-11-1-11-1-1-1
χ31111111111111111111111-1-111111-1-1-111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1
χ41111111111111111111111-1-111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ5111-1111111111-1-1-1-11111111-1-1-1-11-1-1111111111-1-1-1-1-11111111-1-1-111-1
χ6111-1111111111-1-1-1-11111111-1-1-1-11-1-11-1-11111111-1-1-1-111-1-1-1-1111-1-1-11
χ7111-1111111111-1-1-1-111111-1-1-1-1-1-1111-111-1-1-1-111-11111-1-111111-1-1-1-1-11
χ8111-1111111111-1-1-1-111111-1-1-1-1-1-1111-1-1-1-1-1-1-11111111-1-1-1-1-1-1111-111-1
χ922222222222222222222220022222000000000-2-200000000000-200-2000
χ10222-2222222222-2-2-2-22222200-2-2-2-22000000000-2-200000000000-2002000
χ1122-2022222222200002-2-2-2-2000000-22-20000000-2-2022-2-20000002000000
χ1222-2022222222200002-2-2-2-2000000-2-220000000-2-20-2-2220000002000000
χ1322-2022222222200002-2-2-2-2220000-200-20022222200000-2-20000-2000000
χ1422-2022222222200002-2-2-2-2-2-20000-200200-2-2-2-22200000220000-2000000
χ152-2002222-2-2-2-220000-200002-2000000002−222-2-2-22000000022−2−200002−20
χ162-2002222-2-2-2-220000-200002-200000000−2222-2-2-220000000−2−2220000−220
χ172-2002222-2-2-2-220000-20000-22000000002−2-2-222-22000000022−2−20000−220
χ182-2002222-2-2-2-220000-20000-2200000000−22-2-222-220000000−2−22200002−20
χ194444−1+5−1−53−523+52−1+5−1−53−523+52-13−523−523+523+52-13−523+52−1+5−1−522−1+5−1−5-1-1-122200−1+52−1−52−1+52−1−52000−1+52−1−52−1+52−1−52−1+52−1−5200000000000
χ204444−1+5−1−53−523+52−1+5−1−53−523+52-13−523−523+523+52-13−523+52−1+5−1−5-2-2−1+5−1−5-1-1-1-2-2-2001−521+521−521+520001−521+521−521+521−521+5200000000000
χ2144443−523+52−1−5−1+53−523+52−1−5−1+5-1−1−5−1−5−1+5−1+5-1−1−5−1+53−523+52003−523+52-1-1-1000220000002000000−1+52−1−52−1+52−1−520−1+52−1−520000
χ2244443−523+52−1−5−1+53−523+52−1−5−1+5-1−1−5−1−5−1+5−1+5-1−1−5−1+53−523+52003−523+52-1-1-1000-2-2000000-20000001−521+521−521+5201−521+520000
χ2344443+523−52−1+5−1−53+523−52−1+5−1−5-1−1+5−1+5−1−5−1−5-1−1+5−1−53+523−52003+523−52-1-1-1000220000002000000−1−52−1+52−1−52−1+520−1−52−1+520000
χ2444443+523−52−1+5−1−53+523−52−1+5−1−5-1−1+5−1+5−1−5−1−5-1−1+5−1−53+523−52003+523−52-1-1-1000-2-2000000-20000001+521−521+521−5201+521−520000
χ254444−1−5−1+53+523−52−1−5−1+53+523−52-13+523+523−523−52-13+523−52−1−5−1+522−1−5−1+5-1-1-122200−1−52−1+52−1−52−1+52000−1−52−1+52−1−52−1+52−1−52−1+5200000000000
χ264444−1−5−1+53+523−52−1−5−1+53+523−52-13+523+523−523−52-13+523−52−1−5−1+5-2-2−1−5−1+5-1-1-1-2-2-2001+521−521+521−520001+521−521+521−521+521−5200000000000
χ27444-4−1+5−1−53−523+52−1+5−1−53−523+52-1−3+52−3+52−3−52−3−52-13−523+52−1+5−1−5221−51+511-1-2-2200−1+52−1−52−1+52−1−520001−521+521−521+52−1+52−1−5200000000000
χ28444-4−1+5−1−53−523+52−1+5−1−53−523+52-1−3+52−3+52−3−52−3−52-13−523+52−1+5−1−5-2-21−51+511-122-2001−521+521−521+52000−1+52−1−52−1+52−1−521−521+5200000000000
χ29444-43−523+52−1−5−1+53−523+52−1−5−1+5-11+51+51−51−5-1−1−5−1+53−523+5200−3+52−3−5211-100022000000-2000000−1+52−1−52−1+52−1−5201−521+520000
χ30444-43−523+52−1−5−1+53−523+52−1−5−1+5-11+51+51−51−5-1−1−5−1+53−523+5200−3+52−3−5211-1000-2-200000020000001−521+521−521+520−1+52−1−520000
χ31444-43+523−52−1+5−1−53+523−52−1+5−1−5-11−51−51+51+5-1−1+5−1−53+523−5200−3−52−3+5211-100022000000-2000000−1−52−1+52−1−52−1+5201+521−520000
χ32444-43+523−52−1+5−1−53+523−52−1+5−1−5-11−51−51+51+5-1−1+5−1−53+523−5200−3−52−3+5211-1000-2-200000020000001+521−521+521−520−1−52−1+520000
χ33444-4−1−5−1+53+523−52−1−5−1+53+523−52-1−3−52−3−52−3+52−3+52-13+523−52−1−5−1+5221+51−511-1-2-2200−1−52−1+52−1−52−1+520001+521−521+521−52−1−52−1+5200000000000
χ34444-4−1−5−1+53+523−52−1−5−1+53+523−52-1−3−52−3−52−3+52−3+52-13+523−52−1−5−1+5-2-21+51−511-122-2001+521−521+521−52000−1−52−1+52−1−52−1+521+521−5200000000000
χ3544-40−1+5−1−53−523+52−1+5−1−53−523+52-15+52−5−525−52−5+52-1−3+52−3−521−51+522005−512-2-200−1+52−1−52−1+52−1−52000−1+52−1−521−521+521−521+5200000000000
χ3644-40−1+5−1−53−523+52−1+5−1−53−523+52-15+52−5−525−52−5+52-1−3+52−3−521−51+5-2-2005−51-222001−521+521−521+520001−521+52−1+52−1−52−1+52−1−5200000000000
χ3744-40−1+5−1−53−523+52−1+5−1−53−523+52-1−5−525+52−5+525−52-1−3+52−3−521−51+52200−551-22-200−1+52−1−52−1+52−1−520001−521+52−1+52−1−521−521+5200000000000
χ3844-40−1+5−1−53−523+52−1+5−1−53−523+52-1−5−525+52−5+525−52-1−3+52−3−521−51+5-2-200−5512-22001−521+521−521+52000−1+52−1−521−521+52−1+52−1−5200000000000
χ3944-40−1−5−1+53+523−52−1−5−1+53+523−52-15−52−5+525+52−5−52-1−3−52−3+521+51−52200−5512-2-200−1−52−1+52−1−52−1+52000−1−52−1+521+521−521+521−5200000000000
χ4044-40−1−5−1+53+523−52−1−5−1+53+523−52-15−52−5+525+52−5−52-1−3−52−3+521+51−5-2-200−551-222001+521−521+521−520001+521−52−1−52−1+52−1−52−1+5200000000000
χ4144-40−1−5−1+53+523−52−1−5−1+53+523−52-1−5+525−52−5−525+52-1−3−52−3+521+51−522005−51-22-200−1−52−1+52−1−52−1+520001+521−52−1−52−1+521+521−5200000000000
χ4244-40−1−5−1+53+523−52−1−5−1+53+523−52-1−5+525−52−5−525+52-1−3−52−3+521+51−5-2-2005−512-22001+521−521+521−52000−1−52−1+521+521−52−1−52−1+5200000000000
χ434-4004444-4-4-4-440000-4000000000000000000004-4000000000000000000
χ448888-2-2-2-2-2-2-2-23-2-2-2-23-2-2-2-200-2-233300000000000000000000000000000
χ45888-8-2-2-2-2-2-2-2-2322223-2-2-2-20022-3-3300000000000000000000000000000
χ4688-80-2-2-2-2-2-2-2-2325−25−2525322220000−55-300000000000000000000000000000
χ4788-80-2-2-2-2-2-2-2-23−252525−253222200005−5-300000000000000000000000000000
χ4888-803−53+5−2−25−2+253−53+5−2−25−2+25-20000-22+252−25−3+5−3−5000000200000000000000000000000000000
χ4988-803+53−5−2+25−2−253+53−5−2+25−2−25-20000-22−252+25−3−5−3+5000000200000000000000000000000000000
χ508-800−2+25−2−253−53+52−252+25−3+5−3−5-20000200004-40000000000−1+5−1−51−51+500000000000000000000
χ518-800−2+25−2−253−53+52−252+25−3+5−3−5-2000020000-4400000000001−51+5−1+5−1−500000000000000000000
χ528-8003−53+5−2−25−2+25−3+5−3−52+252−25-2000020000000000000022−220000000000000−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ39ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ390000000
χ538-8003−53+5−2−25−2+25−3+5−3−52+252−25-20000200000000000000−22220000000000000ζ7−ζ13+ζ23−ζ37−ζ21−ζ29+ζ31+ζ39−ζ7+ζ13−ζ23+ζ37ζ21+ζ29−ζ31−ζ390000000
χ548-8003+53−5−2+25−2−25−3−5−3+52−252+25-2000020000000000000022−220000000000000ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ37−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ370000000
χ558-8003+53−5−2+25−2−25−3−5−3+52−252+25-20000200000000000000−22220000000000000−ζ21−ζ29+ζ31+ζ39ζ7−ζ13+ζ23−ζ37ζ21+ζ29−ζ31−ζ39−ζ7+ζ13−ζ23+ζ370000000
χ568-800−2−25−2+253+53−52+252−25−3−5−3+5-20000200004-40000000000−1−5−1+51+51−500000000000000000000
χ578-800−2−25−2+253+53−52+252−25−3−5−3+5-2000020000-4400000000001+51−5−1−5−1+500000000000000000000
χ5816-1600-4-4-4-4444460000-60000000000000000000000000000000000000000

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