Finite Group Databasebeta

← Group #487585

Character table — Group #487585

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222244444224444444444444444422244444488888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-11-1-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1111-1-1-1-11111-1-1-1-111111-111-1-11-1-1-1-1-1-111
χ611111111111-1-1111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1
χ711111111111-1-1111-1-1-1-1-1-1-1-1111111-1-11-111111-1-1-1-111-1-1
χ811111111111-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-11111-1-111
χ9111111-1-11-1111-1-1-1-1-11111-1-111-1-1111-11-11-11-1-111-1-11-11-1
χ10111111-1-11-1111-1-1-1-1-11111-1-111-1-1111-1-1-1-111-11-1-111-11-11
χ11111111-1-11-1111-1-1-1-1-111-1-111-1-11111-111-11-1-11-111-1-1-11-11
χ12111111-1-11-1111-1-1-1-1-111-1-111-1-11111-11-1-1-11-111-1-1111-11-1
χ13111111-1-11-11-1-1-1-1-111-1-111-1-1-1-111111-1111-1-11-1-1-111-111-1
χ14111111-1-11-11-1-1-1-1-111-1-111-1-1-1-111111-1-11-11-11111-1-11-1-11
χ15111111-1-11-11-1-1-1-1-111-1-1-1-11111-1-111-11111-11-1-1-1-1111-1-11
χ16111111-1-11-11-1-1-1-1-111-1-1-1-11111-1-111-11-11-111-1111-1-1-111-1
χ172222222222200-2-22000000002222-2-2000000-2-2000000000
χ182222222222200-2-2200000000-2-2-2-2-2-200000022000000000
χ1922222222-22-2002-2-20000222200002-2-2-2000000000000000
χ2022222222-22-2002-2-20000-2-2-2-200002-222000000000000000
χ2122222222-22-222-22-2-2-2-2-200000000-2200020000000000000
χ2222222222-22-2-2-2-22-2222200000000-22000-20000000000000
χ23222222-2-22-220022-20000000022-2-2-2-2000000-22000000000
χ24222222-2-22-220022-200000000-2-222-2-20000002-2000000000
χ25222222-2-2-2-2-200-222000022-2-200002-2-22000000000000000
χ26222222-2-2-2-2-200-2220000-2-22200002-22-2000000000000000
χ27222222-2-2-2-2-2222-2222-2-200000000-22000-20000000000000
χ28222222-2-2-2-2-2-2-22-22-2-22200000000-2200020000000000000
χ294444-4-4440-4000000000000000000000020-2200-200000000
χ304444-4-4440-40000000000000000000000-202-200200000000
χ314444-4-4-4-404000000000000000000000020-2-200200000000
χ324444-4-4-4-4040000000000000000000000-202200-200000000
χ3344-4-4004-4000000002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000
χ3444-4-4004-4000000002i−2i2i−2i−2i2i−2i2i-22-220000000000000000000
χ3544-4-4004-400000000−2i2i−2i2i2i−2i2i−2i-22-220000000000000000000
χ3644-4-4004-400000000−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000
χ3744-4-400-44000000002i−2i−2i2i2i−2i−2i2i-222-20000000000000000000
χ3844-4-400-44000000002i−2i−2i2i−2i2i2i−2i2-2-220000000000000000000
χ3944-4-400-4400000000−2i2i2i−2i2i−2i−2i2i2-2-220000000000000000000
χ4044-4-400-4400000000−2i2i2i−2i−2i2i2i−2i-222-20000000000000000000
χ414-44-4-440040-40000000000000000000000000000002i2−2i20000
χ424-44-4-440040-4000000000000000000000000000000−2i22i20000
χ434-44-4-4400-404000000000000000000000000000022−22000000
χ444-44-4-4400-4040000000000000000000000000000−2222000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-8-8800000004-40000000000000000000000000000000000
χ478-8-880000000-440000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).