Finite Group Databasebeta

← Group #176409

Character table — Group #176409

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422444444442244444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-1-1-1-111-1-11-11-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-11-11-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-111-111-1-11-1111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-111-111-1-11-11-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-11111-1-1-11-111-1-1111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-11111-1-1-11-111-1-11-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-111-1-1111-1-11-111-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-111-1-1111-1-11-111-1-1-11111-1-111-1-1-11
χ17222222222222-2-222-2-222-2-222000000-2-2000000000000000000
χ18222222222222-2-222-2-2-2-2-2-2-2-200000022000000000000000000
χ192222222222-2-222-2-2-2-2002-20022-2-20000-220000000000000000
χ202222222222-2-222-2-2-2-2002-200-2-22200002-20000000000000000
χ212222222222-2-2-2-2-2-22200-220000002-20000-2200000000000000
χ222222222222-2-2-2-2-2-22200-22000000-2200002-200000000000000
χ2322222222-2-22222-2-2-2-200-220022220000-2-20000000000000000
χ2422222222-2-22222-2-2-2-200-2200-2-2-2-20000220000000000000000
χ2522222222-2-222-2-2-2-222002-2000000220000-2-200000000000000
χ2622222222-2-222-2-2-2-222002-2000000-2-200002200000000000000
χ2722222222-2-2-2-2-2-222-2-22222-2-2000000-22000000000000000000
χ2822222222-2-2-2-2-2-222-2-2-2-222220000002-2000000000000000000
χ2944-44-44-4-4000000004-40000000000000000000000002i2−2i2000000
χ3044-44-44-4-4000000004-4000000000000000000000000−2i22i2000000
χ3144-44-44-4-400000000-4400000000000000000000002i2−2i200000000
χ3244-44-44-4-400000000-440000000000000000000000−2i22i200000000
χ3344-4-4-4-4440000004-40000004-400000000000000000000000000
χ3444-4-4-4-4440000004-4000000-4400000000000000000000000000
χ3544-4-4-4-444000000-44004-4000000000000000000000000000000
χ3644-4-4-4-444000000-4400-44000000000000000000000000000000
χ374-444-4-44-44i−4i00000000000000000000000000000000002-22i−2i00
χ384-444-4-44-44i−4i0000000000000000000000000000000000-22−2i2i00
χ394-444-4-44-4−4i4i00000000000000000000000000000000002-2−2i2i00
χ404-444-4-44-4−4i4i0000000000000000000000000000000000-222i−2i00
χ414-44-4-44-44004-40000000000000000000000002-22-20000000000
χ424-44-4-44-44004-4000000000000000000000000-22-220000000000
χ434-44-4-44-4400-440000000000000000000000002-2-220000000000
χ444-44-4-44-4400-44000000000000000000000000-222-20000000000
χ454-4-444-4-4400004-40000000000004-40000000000000000000000
χ464-4-444-4-4400004-4000000000000-440000000000000000000000
χ474-4-444-4-440000-4400000000004-4000000000000000000000000
χ484-4-444-4-440000-440000000000-44000000000000000000000000
χ49888-88-8-8-8000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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