Finite Group Databasebeta

← Group #176404

Character table — Group #176404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444444444444442244444488888888888844
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
χ511111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111-1-111-1-111-1-11-11-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1111111-1-111-1-111-1-11-11-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1111111-1-111-1-1-1-111-111-1-11-1111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1111111-1-111-1-1-1-111-111-1-11-11-1-111-1-11111-1-11-1
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
χ17222222222222-2-2-2-222-2-22222000000-2-2000000000000000000
χ18222222222222-2-2-2-222-2-2-2-2-2-200000022000000000000000000
χ192222222222-2-222-2-2-2-22-2000022-2-20000-220000000000000000
χ202222222222-2-222-2-2-2-22-20000-2-22200002-20000000000000000
χ212222222222-2-2-2-222-2-2-22000000002-20000-2200000000000000
χ222222222222-2-2-2-222-2-2-2200000000-2200002-200000000000000
χ2322222222-2-22222-2-2-2-2-22000022220000-2-20000000000000000
χ2422222222-2-22222-2-2-2-2-220000-2-2-2-20000220000000000000000
χ2522222222-2-222-2-222-2-22-200000000220000-2-200000000000000
χ2622222222-2-222-2-222-2-22-200000000-2-200002200000000000000
χ2722222222-2-2-2-2-2-2-2-2222222-2-2000000-22000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2220000002-2000000000000000000
χ2944-4-44-4-4400004-40000000000004i−4i0000000000000000000000
χ3044-4-44-4-4400004-4000000000000−4i4i0000000000000000000000
χ3144-4-44-4-440000-4400000000004i−4i000000000000000000000000
χ3244-4-44-4-440000-440000000000−4i4i000000000000000000000000
χ334-444-4-4-44004-40000000000000000000000002i−2i2i−2i0000000000
χ344-444-4-4-44004-4000000000000000000000000−2i2i−2i2i0000000000
χ354-444-4-4-4400-440000000000000000000000002i−2i−2i2i0000000000
χ364-444-4-4-4400-44000000000000000000000000−2i2i2i−2i0000000000
χ374-44-444-4-40000004-4000000000000000000000000002i2−2i2000000
χ384-44-444-4-40000004-400000000000000000000000000−2i22i2000000
χ394-44-444-4-4000000-440000000000000000000000002i2−2i200000000
χ404-44-444-4-4000000-44000000000000000000000000−2i22i200000000
χ414-4-444-44-44i−4i00000000000000000000000000000000002i−2i2-200
χ424-4-444-44-44i−4i0000000000000000000000000000000000−2i2i-2200
χ434-4-444-44-4−4i4i00000000000000000000000000000000002i−2i-2200
χ444-4-444-44-4−4i4i0000000000000000000000000000000000−2i2i2-200
χ454-4-4-4-4444000000004-400004-400000000000000000000000000
χ464-4-4-4-4444000000004-40000-4400000000000000000000000000
χ474-4-4-4-444400000000-44004-40000000000000000000000000000
χ484-4-4-4-444400000000-4400-440000000000000000000000000000
χ49888-8-8-88-8000000000000000000000000000000000000000000
χ5088-88-88-8-8000000000000000000000000000000000000000000

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