Finite Group Databasebeta

← Group #11711649

Character table — Group #11711649

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28
size1126688121212123232323232323232484848484848484848
order1242488224436121224242424444444888
χ11111111111111111111111111111
χ21111111111111111111-1-1-1-1-1-11-1-1
χ311111-1-111111111-1-1-1-11-11-111-1-1-1
χ411111-1-111111111-1-1-1-1-11-11-1-1-111
χ522222222222-1-1-1-1-1-1-1-1000000200
χ622222-2-22222-1-1-1-11111000000-200
χ722-22-200-22-2222-2-20000000000000
χ822-22-200-22-22-1-11133−3−3000000000
χ922-22-200-22-22-1-111−3−333000000000
χ103333333-1-1-1-1000000001111-1-1-1-1-1
χ113333333-1-1-1-100000000-1-1-1-111-111
χ1233333-3-3-1-1-1-1000000001-11-1-1-1111
χ1333333-3-3-1-1-1-100000000-11-11111-1-1
χ14666-2-2002-2-2200000000020-200000
χ15666-2-2002-2-22000000000-20200000
χ16666-2-200-222-20000000020-2000000
χ17666-2-200-222-200000000-202000000
χ1866-66-6002-22-200000000000000000
χ1966-6-220022-2-20000000000002-2000
χ2066-6-220022-2-2000000000000-22000
χ2166-6-2200-2-2220000000000000002-2
χ2266-6-2200-2-222000000000000000-22
χ238-800022−2200002-2002−22−2000000000
χ248-800022−220000-113−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000
χ258-800022−220000-11−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000
χ268-8000−222200002-200−22−22000000000
χ278-8000−22220000-113−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000
χ288-8000−22220000-11−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1).