Finite Group Databasebeta

← Group #265170

Character table — Group #265170

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222444448888888888816161616161616161616161616161616161616163232
order12222244444444488224444448882244444488888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-11-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1111-11-11-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111-1-111-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111
χ611111111111111111-1-111-1-1111111-11-1-1-1-1-111-1-1-1-1111111-1-1
χ711111111111111111-1-1-1-1-1-1-1-1111-11-111111-1-1-1-111-1-11111-1-1
χ811111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-111
χ9111111111111111-1-1111111-1-1-1-1-1-111111-1-111-1-1-1-1-1-111-1-11-1
χ10111111111111111-1-1111111-1-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-111-11
χ11111111111111111-1-111-1-11111-1-1-111-11-1-11111-1-1-1-1-1-1-1-111-11
χ12111111111111111-1-111-1-11111-1-1-11-1-1-1-1-111-1-1-1-1111111-1-11-1
χ13111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-1111-1
χ14111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-111111111-1-111-1-1-11
χ15111111111111111-1-1-1-1-1-1-1-111-1-1-111-1111-1-1-1-111-1-11111-1-1-11
χ16111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-111-1-1111111-1-1-1-1111-1
χ1722222222-2-2-2-22-2-2002200-2-2000000000000000002i−2i2i−2i000000
χ1822222222-2-2-2-22-2-2002200-2-200000000000000000−2i2i−2i2i000000
χ1922222222-2-2-2-22-2-200-2-20022000000000000000002i−2i−2i2i000000
χ2022222222-2-2-2-22-2-200-2-2002200000000000000000−2i2i2i−2i000000
χ21222222-2-22222-2-2-222002200-2-22-2-220-20000000000000000000
χ22222222-2-22222-2-2-22200-2-200222-2-2-2020000000000000000000
χ23222222-2-22222-2-2-2-2-200220022-222-20-20000000000000000000
χ24222222-2-22222-2-2-2-2-200-2-200-2-2-2222020000000000000000000
χ252222-2-22222-2-2-2-22002-2002-200000020-200002-2000000000000
χ262222-2-22222-2-2-2-22002-2002-2000000-2020000-22000000000000
χ272222-2-22222-2-2-2-2200-2200-2200000020-20000-22000000000000
χ282222-2-22222-2-2-2-2200-2200-22000000-20200002-2000000000000
χ292222-2-222-2-222-22-2222-200-2200-22-200000000002-20000000000
χ302222-2-222-2-222-22-222-22002-200-22-20000000000-220000000000
χ312222-2-222-2-222-22-2-2-22-200-22002-220000000000-220000000000
χ322222-2-222-2-222-22-2-2-2-22002-2002-2200000000002-20000000000
χ332222-2-2-2-2-2-2222-222200000000-2-2200002-22-200000000000000
χ342222-2-2-2-2-2-2222-222200000000-2-220000-22-2200000000000000
χ352222-2-2-2-2-2-2222-22-2-20000000022-200002-2-2200000000000000
χ362222-2-2-2-2-2-2222-22-2-20000000022-20000-222-200000000000000
χ37444444-4-4-4-4-4-4-44400000000000000000000000000000000000
χ384444-4-4-4-444-4-444-400000000000000000000000000000000000
χ394-44-44-4004-44-400000000000000000000000000000000002i2−2i200
χ404-44-44-4004-44-40000000000000000000000000000000000−2i22i200
χ414-44-44-400-44-4400000004i−4i00000000000000000000000000000
χ424-44-44-400-44-440000000−4i4i00000000000000000000000000000
χ434-44-4-44004-4-44000000000004i−4i0000000000000000000000000
χ444-44-4-44004-4-4400000000000−4i4i0000000000000000000000000
χ454-44-4-4400-444-4000000000000000000000000000000002i2−2i20000
χ464-44-4-4400-444-400000000000000000000000000000000−2i22i20000
χ4788-8-80000000000042−42000000000000000000000000000000000
χ4888-8-800000000000−4242000000000000000000000000000000000
χ498-8-88008-8000000000000000000000000000000000000000000
χ508-8-8800-88000000000000000000000000000000000000000000

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