Finite Group Databasebeta

← Group #263900

Character table — Group #263900

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11112222224444448888888161616161616161616161616161616161616161616163232
order12224444442444882444888222222444488888888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1111-1-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-11-1-1-1111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ51111111111111111-1-1-1-11111111-11-1-1-11-1-1-1-111-1-11111-1-1
χ61111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111
χ71111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1111-1-1-1-11-1111-111-1-1-1-1111111-1-1
χ911111111111111-1-11111-1-1-111-1-1111-1-1111-1-1-1-1-1-111-1-11-1
χ1011111111111111-1-11111-1-1-111-1-11-11-1-1-1-1-1-1-11111-1-111-11
χ1111111111111111-1-11111-1-1-1-1-111-11-111111-1-1-1-1-1-1-1-111-11
χ1211111111111111-1-11111-1-1-1-1-111-1-1-111-1-1-1-1-1111111-1-11-1
χ1311111111111111-1-1-1-1-1-1-1-1-111-1-1-11-1111-1-111-1-11111-1-1-11
χ1411111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1111111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-1111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111111-1-111-1-1-11
χ1722222222-2-2-2-2-220022-2-2000000002000-22-2000000000000
χ1822222222-2-2-2-2-220022-2-200000000-20002-22000000000000
χ1922222222-2-2-2-2-2200-2-222000000002000-2-22000000000000
χ2022222222-2-2-2-2-2200-2-22200000000-200022-2000000000000
χ21222222-2-222-2-22-2222-2-222-2-2000000000000-220000000000
χ22222222-2-222-2-22-222-222-22-2-20000000000002-20000000000
χ23222222-2-222-2-22-2-2-22-2-22-2220000000000002-20000000000
χ24222222-2-222-2-22-2-2-2-222-2-222000000000000-220000000000
χ25222222-2-2-2-222-2-2002-22-2000000000000000002i−2i2i−2i000000
χ26222222-2-2-2-222-2-2002-22-200000000000000000−2i2i−2i2i000000
χ27222222-2-2-2-222-2-200-22-22000000000000000002i−2i−2i2i000000
χ28222222-2-2-2-222-2-200-22-2200000000000000000−2i2i2i−2i000000
χ292222-2-22222-22-2-2220000-22-2000020-2-22000000000000000
χ302222-2-22222-22-2-2220000-22-20000-2022-2000000000000000
χ312222-2-22222-22-2-2-2-200002-22000020-22-2000000000000000
χ322222-2-22222-22-2-2-2-200002-220000-202-22000000000000000
χ332222-2-2-2-2222-2-22220000-2-222-22-200000000000000000000
χ342222-2-2-2-2222-2-22220000-2-22-22-2200000000000000000000
χ352222-2-2-2-2222-2-22-2-2000022-22-2-2200000000000000000000
χ362222-2-2-2-2222-2-22-2-2000022-2-222-200000000000000000000
χ374444-4-444-4-44-44-4000000000000000000000000000000000
χ384444-4-4-4-4-4-4-4444000000000000000000000000000000000
χ394-4-440000-4400004-400000000000000000000000002-22-200
χ404-4-440000-4400004-40000000000000000000000000-22-2200
χ414-4-440000-440000-4400000000000000000000000002-2-2200
χ424-4-440000-440000-440000000000000000000000000-222-200
χ4388-8-8008-8000000000000000000000000000000000000000
χ4488-8-800-88000000000000000000000000000000000000000
χ458-88-88-800000000000000000000000000000000000000000
χ468-88-8-8800000000000000000000000000000000000000000
χ478-8-8800008-80000000000000000000000000000000000000

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