Finite Group Databasebeta

← Group #265221

Character table — Group #265221

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488222244448882244444488888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1111-1-1111-1-11-1-1-1-111-1-1-1-1-1-111
χ41111111111111111111-1-111-1-1111-1-11-11-1-1-111-1-1-1-1111111-1-1
χ511111111111111111-1-111-1-111111-1-1-11-1-1-1111111111-1-1-1-1-1-1
χ611111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ711111111111111111-1-1-1-1-1-1-1-111111-11-1111-1-1-1-111-1-11111-1-1
χ811111111111111111-1-1-1-1-1-1-1-111111-1-1-111-111-1-1-1-111-1-1-1-111
χ9111111111111111-1-11111-1-111-1-1-111-111-1-1111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-11111-1-111-1-1-111-1-11-1-1-1-1-1-1-11111-1-111-11
χ11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1111-1
χ12111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111111-1-111-1-1-11
χ13111111111111111-1-1-1-1111111-1-1-1-1-111-111111-1-1-1-1-1-1-1-111-11
χ14111111111111111-1-1-1-1111111-1-1-1-1-11-1-111-1-1-1-1-1111111-1-11-1
χ15111111111111111-1-1-1-1-1-111-1-1-1-1-11111-1-1-11-1-111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-111-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1111-1
χ1722222222-2-222-2-2-2222200-2-2002-2-20020-200000000000000000
χ1822222222-2-222-2-2-222-2-20022002-2-200-20200000000000000000
χ1922222222-2-222-2-2-2-2-222002200-22200-20-200000000000000000
χ2022222222-2-222-2-2-2-2-2-2-200-2-200-2220020200000000000000000
χ21222222-2-222-2-22-2-200002200-2-20000000000000002i−2i2i−2i000000
χ22222222-2-222-2-22-2-200002200-2-2000000000000000−2i2i−2i2i000000
χ23222222-2-222-2-22-2-20000-2-200220000000000000002i−2i−2i2i000000
χ24222222-2-222-2-22-2-20000-2-20022000000000000000−2i2i2i−2i000000
χ252222-2-22-2222-2-2-2200002-2002-20000002000-22-2000000000000
χ262222-2-22-2222-2-2-2200002-2002-2000000-20002-22000000000000
χ272222-2-22-2222-2-2-220000-2200-220000002000-2-22000000000000
χ282222-2-22-2222-2-2-220000-2200-22000000-200022-2000000000000
χ292222-2-2-2222-22-22-222002-200-22-22-200000000002-20000000000
χ302222-2-2-2222-22-22-22200-22002-2-22-20000000000-220000000000
χ312222-2-2-2222-22-22-2-2-2002-200-222-220000000000-220000000000
χ322222-2-2-2222-22-22-2-2-200-22002-22-2200000000002-20000000000
χ332222-2-2-22-2-2-222-222200000000-2-222-20002-2000000000000000
χ342222-2-2-22-2-2-222-222200000000-2-22-22000-22000000000000000
χ352222-2-2-22-2-2-222-22-2-20000000022-22-2000-22000000000000000
χ362222-2-2-22-2-2-222-22-2-20000000022-2-220002-2000000000000000
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ384444-4-44-4-4-44-444-400000000000000000000000000000000000
χ3944-4-44-44400-4-4000004-40000000000000000000000000000000
χ4044-4-44-44400-4-400000-440000000000000000000000000000000
χ4144-4-44-4-4-40044000000000000000000000000000000000022−2200
χ4244-4-44-4-4-400440000000000000000000000000000000000−222200
χ4344-4-4-444-400-44000000000000000000000000000000002i2−2i20000
χ4444-4-4-444-400-4400000000000000000000000000000000−2i22i20000
χ4544-4-4-44-44004-40000000004i−4i000000000000000000000000000
χ4644-4-4-44-44004-4000000000−4i4i000000000000000000000000000
χ478-88-8000000000004i2−4i2000000000000000000000000000000000
χ488-88-800000000000−4i24i2000000000000000000000000000000000
χ498-8-8800008-80000000000000000000000000000000000000000
χ508-8-880000-880000000000000000000000000000000000000000

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