Finite Group Databasebeta

← Group #4060

Character table — Group #4060

Order 160.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25
size112222244444444488881010202020
order1245510102482020404040401010202024228
χ11111111111111111111111111
χ211111111111111111111-1-1-1-1-1
χ311111111-1-111-1-1-1-111-1-1111-1-1
χ411111111-1-111-1-1-1-111-1-1-1-1-111
χ51111111-11-111-1-1-1-1-1-11111-11-1
χ61111111-11-111-1-1-1-1-1-111-1-11-11
χ71111111-1-11111111-1-1-1-111-1-11
χ81111111-1-11111111-1-1-1-1-1-111-1
χ9222−1+52−1−52−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5200000
χ10222−1+52−1−52−1+52−1−522-2-2−1+52−1−521−521−521+521+52−1+52−1−521−521+5200000
χ11222−1+52−1−52−1+52−1−52-22-2−1+52−1−521−521−521+521+521−521+52−1+52−1−5200000
χ12222−1+52−1−52−1+52−1−52-2-22−1+52−1−52−1+52−1+52−1−52−1−521−521+521−521+5200000
χ13222−1−52−1+52−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+5200000
χ14222−1−52−1+52−1−52−1+522-2-2−1−52−1+521+521+521−521−52−1−52−1+521+521−5200000
χ15222−1−52−1+52−1−52−1+52-22-2−1−52−1+521+521+521−521−521+521−52−1−52−1+5200000
χ16222−1−52−1+52−1−52−1+52-2-22−1−52−1+52−1−52−1−52−1+52−1+521+521−521+521−5200000
χ1722-22222000-2-2000000002-2000
χ1822-22222000-2-200000000-22000
χ1944-4−1+5−1−5−1+5−1−50001−51+50000000000000
χ2044-4−1−5−1+5−1−5−1+50001+51−50000000000000
χ214-4044-4-4000000000000000000
χ224-40−1+5−1−51−51+500000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39000000000
χ234-40−1+5−1−51−51+500000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39000000000
χ244-40−1−5−1+51+51−500000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37000000000
χ254-40−1−5−1+51+51−500000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37000000000

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