Finite Group Databasebeta

← Group #254263

Character table — Group #254263

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222244488888888888888161616161616161616161616161616161616163232
order12222244444444422224444444444244444444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11-111-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-111-111-11-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1
χ511111111111111111-1-111-1-1-1-1111111-11-1-1111-1-11111-1-1-1-1-1-1
χ611111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ711111111111111111-1-111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-11111-1-1
χ811111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1111111-1-1-1-111
χ9111111111111111-1-111-1-1-1-1-1-1111111-1-11-1-1-1-11111-1-111-1-11-1
χ10111111111111111-1-111-1-1-1-1-1-11111-1-1-111-11-1-111-1-111-1-111-11
χ11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111-111-111-1-1-1-111-1-1111-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-1-11
χ13111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-111-1-1-1-111-11
χ14111111111111111-1-1-1-1-1-111111111-1-111-111-1-1-1-1-1-11111-1-11-1
χ15111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-11111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-11111111-1-1-1-1111-1
χ172222222222-2-2-2-2-22222-2-222-2-200000000-20000000000000000
χ182222222222-2-2-2-2-222-2-2-2-2-2-2220000000020000000000000000
χ192222222222-2-2-2-2-2-2-22222-2-22200000000-20000000000000000
χ202222222222-2-2-2-2-2-2-2-2-22222-2-20000000020000000000000000
χ21222222-2-2-2-2222-2-22-2002-2000022-2-200000002-2000000000000
χ22222222-2-2-2-2222-2-22-2002-20000-2-2220000000-22000000000000
χ23222222-2-2-2-2222-2-2-2200-22000022-2-20000000-22000000000000
χ24222222-2-2-2-2222-2-2-2200-220000-2-22200000002-2000000000000
χ25222222-2-2-2-2-2-2-2222-200-220000000000200-20002-20000000000
χ26222222-2-2-2-2-2-2-2222-200-220000000000-2002000-220000000000
χ27222222-2-2-2-2-2-2-222-22002-20000000000200-2000-220000000000
χ28222222-2-2-2-2-2-2-222-22002-20000000000-20020002-20000000000
χ292222-2-22-22-2-2-222-200000000002i−2i2i−2i000200-20000002i−2i000000
χ302222-2-22-22-2-2-222-200000000002i−2i2i−2i000-2002000000−2i2i000000
χ312222-2-22-22-2-2-222-20000000000−2i2i−2i2i000200-2000000−2i2i000000
χ322222-2-22-22-2-2-222-20000000000−2i2i−2i2i000-20020000002i−2i000000
χ332222-2-2-22-22-2-22-2200000000002i−2i−2i2i2-20000000002i−2i00000000
χ342222-2-2-22-22-2-22-2200000000002i−2i−2i2i-22000000000−2i2i00000000
χ352222-2-2-22-22-2-22-220000000000−2i2i2i−2i2-2000000000−2i2i00000000
χ362222-2-2-22-22-2-22-220000000000−2i2i2i−2i-220000000002i−2i00000000
χ374444-4-44-44-444-4-4400000000000000000000000000000000000
χ384444-4-4-44-4444-44-400000000000000000000000000000000000
χ3944-4-44-44-4-4400000004-40000000000000000000000000000000
χ4044-4-44-44-4-440000000-440000000000000000000000000000000
χ4144-4-44-4-444-4000000000004-4000000000000000000000000000
χ4244-4-44-4-444-400000000000-44000000000000000000000000000
χ4344-4-4-4444-4-40000000000000000000000000000000000002i2−2i200
χ4444-4-4-4444-4-4000000000000000000000000000000000000−2i22i200
χ4544-4-4-44-4-444000000000000000000000000000000000022−220000
χ4644-4-4-44-4-4440000000000000000000000000000000000−22220000
χ478-88-80000008i−8i00000000000000000000000000000000000000
χ488-88-8000000−8i8i00000000000000000000000000000000000000
χ498-8-8800000000000000000004-40000000000000000000000000
χ508-8-880000000000000000000-440000000000000000000000000

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