Finite Group Databasebeta

← Group #176563

Character table — Group #176563

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222224444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1
χ41111111111111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-1-1-1111111-11-1-1-11-1-111111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-1111111-11-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-111-1-11-11-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-111-1-11-11-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-1-111-1-1-1-11-1-11-111-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-111-1-1-1-11-1-11-111-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-111-1111-1-1-1111-1-1-1-11111-1-1-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-111-1111-1-1-11-1-11111-1-1-1-1111-1
χ1311111111-1-1-1-1111111-1-11111-1-1-1-1-1-11-111-1111-1-111-1-1-1-111-11
χ1411111111-1-1-1-1111111-1-11111-1-1-1-1-1-11-111-11-1-111-1-11111-1-11-1
χ1511111111-1-1-1-1111111-1-111-1-1-1-11111-1-11-11-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-111-1-1-1-11111-1-11-11-1-1-11111-1-111-1-1-11
χ17222222222222-222-2-2-2222200-2-200000-2-200000000000000000
χ18222222222222-222-2-2-2-2-2-2-200-2-2000002200000000000000000
χ192222222222-2-22-2-2-2-220000222-2-2-202000-20000000000000000
χ202222222222-2-22-2-2-2-220000-2-22-2220-200020000000000000000
χ212222222222-2-2-2-2-222-2000000-2200202000-2-200000000000000
χ222222222222-2-2-2-2-222-2000000-2200-20-20002200000000000000
χ2322222222-2-2222-2-2-2-22000022-22220-2000-20000000000000000
χ2422222222-2-2222-2-2-2-220000-2-2-22-2-20200020000000000000000
χ2522222222-2-222-2-2-222-20000002-20020-2000-2200000000000000
χ2622222222-2-222-2-2-222-20000002-200-2020002-200000000000000
χ2722222222-2-2-2-2-222-2-2-222-2-2002200000-2200000000000000000
χ2822222222-2-2-2-2-222-2-2-2-2-2220022000002-200000000000000000
χ29444-44-4-4-4000004-4000004-40000000000000000000000000000
χ30444-44-4-4-4000004-400000-440000000000000000000000000000
χ31444-44-4-4-400000-440004-4000000000000000000000000000000
χ32444-44-4-4-400000-44000-44000000000000000000000000000000
χ3344-44-44-4-44-40000000000000000000000000000002-22-2000000
χ3444-44-44-4-44-4000000000000000000000000000000-22-22000000
χ3544-44-44-4-4-440000000000000000000000000000002-2-22000000
χ3644-44-44-4-4-44000000000000000000000000000000-222-2000000
χ374-44-4-444-400000004-4000000000000000000000000000002i2−2i200
χ384-44-4-444-400000004-400000000000000000000000000000−2i22i200
χ394-44-4-444-40000000-440000000000000000000000000002i2−2i20000
χ404-44-4-444-40000000-44000000000000000000000000000−2i22i20000
χ414-4-444-44-4004i−4i0000000000000000000000002-22i−2i0000000000
χ424-4-444-44-4004i−4i000000000000000000000000-22−2i2i0000000000
χ434-4-444-44-400−4i4i0000000000000000000000002-2−2i2i0000000000
χ444-4-444-44-400−4i4i000000000000000000000000-222i−2i0000000000
χ454-4-4-444-44000040000-4000000004i−4i0000000000000000000000
χ464-4-4-444-44000040000-400000000−4i4i0000000000000000000000
χ474-4-4-444-440000-40000400004-400000000000000000000000000
χ484-4-4-444-440000-4000040000-4400000000000000000000000000
χ4988-8-8-8-888000000000000000000000000000000000000000000
χ508-888-8-8-88000000000000000000000000000000000000000000

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