Finite Group Databasebeta

← Group #508558

Character table — Group #508558

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222222244444488888888881616161616161616161616161616161632323232
order1222224444444444888824448888888888888816161616161616164444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ10111111-1-1-1-11111-1-1111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-11-11
χ11111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-11-11
χ12111111-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-11-1
χ13111111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11
χ14111111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-1
χ15111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-111-1
χ16111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11
χ172222222222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ1922222222-2-2-2-2-2-22-200002-22-200000000000000i2−i2i2−i2i2−i2i2−i20000
χ2022222222-2-2-2-2-2-22-200002-22-200000000000000−i2i2−i2i2−i2i2−i2i20000
χ2122222222-2-2-2-2-2-22-20000-22-2200000000000000i2−i2i2−i2−i2i2−i2i20000
χ2222222222-2-2-2-2-2-22-20000-22-2200000000000000−i2i2−i2i2i2−i2i2−i20000
χ23222222-2-222-2-2-2-2-2200002-2-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ24222222-2-222-2-2-2-2-2200002-2-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ25222222-2-222-2-2-2-2-220000-222-200000000000000i2−i2−i2i2−i2i2i2−i20000
χ26222222-2-222-2-2-2-2-220000-222-200000000000000−i2i2i2−i2i2−i2−i2i20000
χ27222222-2-2-2-22222-2-2-2-2-2-222-2-222-2-22200000000000000000000
χ28222222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ292222-2-222-2-222-2-2-222-22-200002-2000000002i−2i2i−2i000000000000
χ302222-2-222-2-222-2-2-222-22-200002-200000000−2i2i−2i2i000000000000
χ312222-2-222-2-222-2-2-22-22-220000-2200002i−2i2i−2i0000000000000000
χ322222-2-222-2-222-2-2-22-22-220000-220000−2i2i−2i2i0000000000000000
χ332222-2-2-2-22222-2-22-22-22-20000-22000000002i−2i−2i2i000000000000
χ342222-2-2-2-22222-2-22-22-22-20000-2200000000−2i2i2i−2i000000000000
χ352222-2-2-2-22222-2-22-2-22-2200002-200002i−2i−2i2i0000000000000000
χ362222-2-2-2-22222-2-22-2-22-2200002-20000−2i2i2i−2i0000000000000000
χ374444-4-44444-4-444-4-40000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4-444440000000000000000000000000000000000
χ3944-4-44-400004-44-4000000000000004-400000000000000000000
χ4044-4-44-400004-44-400000000000000-4400000000000000000000
χ4144-4-44-40000-44-44004-4-44000000000000000000000000000000
χ4244-4-44-40000-44-4400-444-4000000000000000000000000000000
χ4344-4-4-4400004-4-440000000000004i−4i0000000000000000000000
χ4444-4-4-4400004-4-44000000000000−4i4i0000000000000000000000
χ4544-4-4-440000-444-40044-4-4000000000000000000000000000000
χ4644-4-4-440000-444-400-4-444000000000000000000000000000000
χ478-88-800008i−8i0000000000000000000000000000000000000000
χ488-88-80000−8i8i0000000000000000000000000000000000000000
χ498-8-88008i−8i000000000000000000000000000000000000000000
χ508-8-8800−8i8i000000000000000000000000000000000000000000

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